Grade 5 Mtap Reviewer 4xi4z

Grade 5 Metrobank MTAP DepEd Math Challenge Courtesy by: Pids Nogales Files

Prepared by: Dulce Buenaventura

2002 ELIMINATION - Metrobank-MTAP-DepEd Math Challenge Grade 5

Solve each item and write the answer on the blank before the number. [Use π = 3.14] _________ 1. What is the value of 8 in 86 543 217? _________ 2. Write MDXL in Hindu-Arabic. _________ 3. Write three million, four hundred fifty thousand, sixty-five in figures or standard form. _________ 4. How many times greater is the underlined 6 in 4 567 564 than the 6 that is not underlined? _________ 5. If I can save ₱75 a month, how much do I save in 4 years? _________ 6. Find N in the pattern: 2, 3, 5, 8, 12, ___ , N. _________ 7. What is the remainder when 564 is divided by 23? _________ 8. A farmer harvested 109 cavans of palay from his field. If each cavan sold for ₱350, how much did he get? _________ 9. What is the sum of the first 5 prime numbers greater than 50? _________ 10. Three more than 6 times a number is 45. What is the number. _________ 11. If I multiply a number by 8 and then subtract 15 from the product, the result is 65. what is the number? _________ 12. Find the sum of 1 + 2 + 3 + 4 + … + 18 + 19 + 20. _________ 13. Erl is 3 years older than Dhang. Together, their ages total 21 years. How old is Erl? _________ 14. What is the GCF of 54 and 90? _________ 15. What is the LCM of 54 and 90? _________ 16 What is the smallest number that has 12, 13 and 30 as factors? 1 _________ 17.Evaluate: 3 ÷ [ 4 2 56 _________ 18.Reduce 84

5 x1 6

]

to lowest .

_________ 19.Jean bought 5

3 5

m of white cloth and 3

3 4

m of blue cloth. How many meters of

cloth did she buy? _________ 20.Zeus has a string 26

2 3

dm long and Ador has one that is 17

much longer is the string of Zeus?

4 5

dm long. How

2 3

_________ 21.Divide 4

_________ 22.Add

2 3

by 3

1 9

.

to the quotient of 4 divided by 5. -1-

_________ 23.Change 5

7 13

to an improper fraction.

_________ 24. Joy bought 4 mangoes for ₱46. At the same rate, how much would a dozen cost? _________ 25. Hercules had a temperature of 39.4 oC this morning and 37.8 oC this afternoon. By how much did the temperature go down? _________ 26. If 4.26 ÷ 3 = 1.42, what is 42.6 ÷ 0.142? _________ 27. Change 155% to a fraction in lowest . _________ 28. Change 2

1 5

to percent.

_________ 29. A student got 90% of a test. He answered 36 items correctly. How many items were in the test? _________ 30. Out of 100 students in Grade 5, 48 are boys. What percent of the Grade 5 students are girls? _________ 31. There are 450 Cub and Boy Scouts in a school. If 70% are Cubs, how many are Boy Scouts? _________ 32. Find N if N : 90 = 14 : 30. _________ 33. If 200 is divided in the ratio 1 : 2 : 5, what is the middle part? _________ 34. If 7 men can do a job in 6 days, how many men can do the work in 3 days? _________ 35. A restaurant charges 3.5% service tax. If your order amounted to ₱210.50, how much in all did you pay? _________ 36. Tessie uses 2.2 meters of cloth for one uniform. How many uniforms can she make from 20 meters of cloth? _________ 37. Find the perimeter of a regular pentagon with sides that are 90 dm long. _________ 38. A circular man-made lake has a radius of 30 m. What is its area? _________ 39. A rectangular field is 95 m long and 78 m wide. If you run around it 4 times, how many meters will that be? _________ 40. An angle is twice its complement. Find the angle. _________ 41. A closed box is 7 dm by 4 dm by 5 dm. What is its total surface area? _________ 42. What is the volume of the box in #41?

_________ 43. The base of an isosceles triangle is 29 cm and the perimeter is 75cm. How long is a leg? _________ 44. A circular pool has a diameter of 24 meters. If you walk around it, how many meters will that be? _________ 45. A base angle of an isosceles triangle is 52 o. Find the vertex angle. -2-

_________ 46. An angle is 10o more than its supplement. Find the angle. _________ 47. Nelly made a circle graph to represent her day of 24 hours. If she works for 8 hours, how many degrees is the sector that represents her work? _________ 48. The scale of a map is 1 cm to 30 km. If two cities are 450 km apart, how far apart are they on the map? _________ 49. The parallel sides of a trapezoidal field are 48 m and 64 m. If they are 45 m apart, what is the area of the field? _________ 50. How much soil will be needed to raise a flower plot by 1 dm if the plot is 6.5 m long and 4 m wide?

-3-

2003 ELIMINATION - Metrobank-MTAP-DECS-NCR Math Challenge Grade 5

Solve each problem and write the answer in the blank before each number. _________ 1. What is the value of 7 in 472,356? _________ 2. Change 9/16 to 64ths. _________ 3. 23 x 33 x 102 = _______ . _________ 4. 368,501 equals ___________ when rounded off to the nearest thousand. _________ 5. Which number has both 2 and 9 as factors? 6282, 7282, 8380 _________ 6. The greatest common factor (GCF) of 24, 36, and 60 is ? _________ 7. The least common multiple (LCM) of 24, 36, and 60 is ? _________ 8. 7

3 8

_________ 9. 7

1 5

+6

1 3

= __________.

x6

2 3

= __________.

_________ 10. 12 ¾ - 5

2 5

= __________.

_________ 11. When 4768 is divided by 49 the remainder is _________ . _________ 12. Last year, I bought a book for ₱88.50. This year the price is ₱104.25. How much is the increase in price? _________ 13. What are the prime numbers between 70 and 80? _________ 14. If 1 is excluded, how many common factors do 36 and 48 have? _________ 15. If one side of a square is increased by 5 cm, then the perimeter is increased by _____ cm. _________ 16 The ratio of the price of a bed to a sala set is 3 : 4. If the sala set costs ₱10,000 what is the cost of the bed? _________ 17. The number which is 35 more than 47 – 19 is? _________ 18. If one hectare is 10,000 square meters, how many hectares are in 2 square kms.?

_________ 19. A rectangle has a length of 15 dm. If the area is 120 dm 2, then the width is ? _________ 20. How many angles can you name from the figure? D E

C B O

A

1

_________ 21. Joy bought 2 notebooks at ₱9.50 each and 4 ballpens at ₱4.75 each. How much change did she get from a ₱50-bill? _________ 22. A cube has an edge of 9 cm. What is the total surface area? _________ 23. It takes 22 m. to make 3 pairs of window drapes. How many meters will it take to make a dozen pairs? _________ 24. How many decimal places are there in the product of 1.051 x 0.0311? _________ 25. If 3254 x 63.58 = 3.254 x N, what is N ? _________ 26. The product of 32 x 31 is closest to which multiple of 10 ? _________ 27. By how much is 34 larger than 43? _________ 28. I am thinking of a number. Twice the number plus 5 equals 29. What is the number? _________ 29. The sum of three numbers is 99. The first is 10 greater than the second and 20 greater than the third. What is the largest of the three numbers? _________ 30. In a spelling test of 50 items, Larry got 90% correctly. How many mistakes did he make? _________ 31. How many numbers between 30 and 60 contain the digit 2? _________ 32. What digit can you place in the blank so that 456,7_ 2 is divisible by 9? _________ 33. In 644,651 , how many times as great is the underlined 6 than the 6 that is not underlined? _________ 34. Suppose your step is 4.5 dm long and you can make 92 steps in one minute. At that rate, about how far, in meters, is your house from school if you take 5 minutes to go to school? _________ 35. Change 0.125 to a fraction in lowest . _________ 36. The perimeter of a rectangle is 54 cm. If the length is 3 cm. longer than the width, what is the length of the rectangle?

_________ 37. Divide ₱140 among Tom, Jake and Larry so that Tom gets twice as much as Jake and Jake gets as much as Larry. How much does Tom get? _________ 38. What is the smallest 4-digit number that you can make using 0, 4, 5 and 6 ? _________ 39. A dozen doughnuts and a loaf of bread cost ₱75, half a dozen doughnuts and a loaf cost ₱48. How much does a loaf of bread cost? _________ 40. An angle is 78o. What is its supplement ?

2

_________ 41. Nine sheets of bond paper cost ₱2.50. How much will 45 sheets cost ? _________ 42. One base angle of an isosceles triangle is 62 o. What is the vertex angle ? _________ 43. The perimeter of a triangle is 75 cm. If two sides are 21 cm and 27 cm, how long is the third side? _________ 44. A farmer kept track of his cows and hens by counting the legs and heads. If he counted 78 legs and 35 heads, how many cows did he have ? _________ 45. What is the perimeter of the figure if all angles are right angles?

20m

20m

35 m

35 m

55 m

75m

_________ 46. What is the area of the same figure? _________ 47. A tank contains 105 liters of water when 70% full. How many liters does it contain when full? _________ 48. I paid ₱126 for a dress at a 16% discount. What is the marked price? _________ 49. In 3 months the price of pork increased from ₱85.50 to ₱97.50. What is the percent increase to nearest percent? _________ 50. Three numbers are in the ratio 3 : 4 : 6. If the middle number is 28, what is the sum of the 3 numbers?

3

2004 ELIMINATION - Metrobank-MTAP-DepEd Math Challenge Grade 5

Solve each item on scratch paper and write the answer on the blank. [Use

π = 3.14]

_________ 1. What is the place value of 6 in 874,695,457? _________ 2. 735,480 = 7 x 105 + 3 x 104 + N + 480. What is N? _________ 3. Which number has 2 and 9 as factors? 6282, 7262, 6380. _________ 4. What is the remainder when 34,785 is divided by 37? _________ 5. How many prime numbers are there between 80 and 100? _________ 6. Round 478,512 to the nearest ten thousand. _________ 7. Round each number to the nearest thousand and estimate the sum of 7 501 + 8 398 + 6 521 . _________ 8. In 345,846, how many times as great is the underlined 4 than the 4 that is not underlined? _________ 9. What is the largest digit that can be placed in the blank to make 45,__78 divisible by 6? _________ 10. Two numbers are 23 x 32 x 5 x 11 and 22 x 33 x 5 x 7 respectively written as products of their prime factors. Write their least common multiple using exponents. _________ 11. Write the smallest 9-digit number with 3 different digits repeated only once. _________ 12. What is the difference between the largest and the smallest numbers that can be formed using all the digits 4, 5, 7 and 9? _________ 13. Write 2520 as a product of prime factors using exponents. _________ 14. What is the smallest number that has 12, 25 and 30 as factors? _________ 15. What is the greatest common factor of 240 and 270? _________ 16 168 is what percent of 480? _________ 17. 387 is 45% of what number?

_________ 18. What is the least common multiple of 240 and 270? 105 147

_________ 19.Reduce

_________ 20. Change 8

_________ 21.Change

to lowest .

7 12

131 14

to an improper fraction.

to a mixed number.

_________ 22. Joy bought 1 ½ dozen mangoes for ₱105. At the same rate, how much will 5 dozen mangoes cost? -1-

_________ 23. A gold coin weighs 20 grams. If the coin contains gold, copper and tin in the ratio 4:3:1, how much gold is there in the coin? _________ 24. Find two numbers whose sum is 16 and the product is 48. _________ 25. A book is opened to where the sum of the numbers of the facing pages is 313. What is the bigger of the two page numbers? _________ 26. Pat had 12 apples. He gave each of his friends ¾ of an apple and kept ¾ for himself. How many friends were with him? _________ 27. There are 680 Grades 4-6 students in a school. If 35% of them are in Grade 5, how many Grade 5 students are there? _________ 28. Rose bought a blouse at a discount of 18% for ₱147.60. What was the marked price of the blouse?. _________ 29. There are 240 scouts in a school. If 90 of them are cubs, what percent of the scouts in the school are cubs? _________ 30. Ann can make one uniform with 2.4 m of cloth. How many uniforms can she make from 20 m of cloth? _________ 31. Which of the following numbers can be written as the sum of two primes? a. 25

b. 35

c. 51

d. 57

_________ 32. Find N if N : 84 = 5 : 6.

16m

_________ 33. What is the perimeter of the figure?

_________ 34. What is the area of the same figure?

24 m

12 m 40m

_________ 35. If 8 men can do a piece of work in 6 days, how many men can do it in 4 days at the same rate? _________ 36. A restaurant charges 4% service charge. If your order amounted to ₱450, how much did you pay? _________ 37. A closed box for a raffle is 5 dm long, 3.5 dm wide and 7 dm high. If it is to be completely covered with colored paper, how much surface is to be covered?

-2-

_________ 38. An aquarium is 6 dm long, 4 dm wide and 4 dm high. How many liters of water does it contain when it is

6 5

full?

_________ 39. A base angle of an isosceles triangle is 52 o. What is the vertex angle? _________ 40. How many cubic meters of soil will be needed to raise a 4 m long and 2.5 m wide flower plot by 15 cm? _________ 41. If your step is about 70 cm and you can make 60 steps a minute, how far can you walk in 10 minutes? _________ 42. A park is 85 m long and 70 m wide. If you jog around it 6 times, how many meters will that be? _________ 43. The ratio of two numbers is 3 : 5 and their difference is 34. Find the bigger number? _________ 44.The average of two fractions is

7 8

and one fraction is

3 2

. What is the other?

_________ 45. The scale of a map is 1cm : 15 km. If two towns are 4.5 cm apart on a map, how many kilometers apart are they? _________ 46. A school basketball team won ¾ of its games. If it won 14 more games than it lost, how many games did it play? _________ 47. The parallel sides of a trapezoidal field are 52 m and 68 m. If they are 48 m apart, what is its area? _________ 48. A certain sum of money is sufficient to pay the wages of 12 men for 15 days. For how many days will it be enough for 9 men? _________ 49. The length of a rectangular garden is 3 m more than the width. If the perimeter is 106 m, find the length of the garden.

_________ 50. A room is 5.7 m wide and 6.6 m long. How many 30-cm tiles are needed to cover it ?

-3-

2005 ELIMINATION – Metrobank-MTAP-DepEd Math Challenge Grade 5 Solve each item on scratch paper and write the answer on the blank. _________ 1. Write “four million, two hundred sixty thousand, ninety-five”. _________ 2. What is the place value of 9 in 39,451,628? _________ 3. What is the value of 8 in 523,845,123? _________ 4. How many times as great is the underlined 4 in 45,642 than the 4 that is not underlined? _________ 5. Round to the nearest thousand and estimate 6,123 + 7,512 + 4,123. _________ 6. Round 36,957,345 to the nearest hundred thousand. _________ 7. What is the remainder when 3,567 is divided by 47? _________ 8. Write 5x105 + 7x104 + 9x102 + 7x10 + 5 as one number. _________ 9. Use exponents to write 3960 as a product of its prime factors. _________ 10. What is the smallest prime number larger than 100. _________ 11. How many prime numbers are there between 20 and 40? _________ 12. What is the greatest common factor of 72 and 90? _________ 13. What is the least common multiple of 72 and 90? _________ 14. Change

_________ 15. Change 6

90 78 8 13

to lowest .

to an improper fraction.

_________ 16. Change

134 9

_________ 17. A garden is 5

to a mixed number. 3 5

m long and 3 ¾ m wide. Find its perimeter.

_________ 18. What is the area of the garden in #17? _________ 19. Nita multiplied 4.27 x 56.9 with a calculator and got 242963 because she forgot to put the decimal points. What is the correct answer? _________ 20. Two numbers are in the ratio 3:5 and their sum is 112. Find the bigger number. _________ 21. Tonton picked 273 mangoes and put them 60 to a basket to sell. How many mangoes were not in a full basket? _________ 22. Nita can make 6 glasses of drink from a can of fruit juice. If she has to prepare for 76 people, how many cans of juice does she have to buy?

1

_________ 23. The lengths of the sides of a triangle are 12.3 cm, 15.8 cm and 16.5 cm. Find its perimeter. _________ 24. An apple costs ₱8.50. How many can you buy with a ₱100-bill? _________ 25. A P.E. teacher has 61 pupils. She told them to line up in rows of 9. How many pupils are in the last incomplete row? _________ 26. If 7:9 = 84:N, what is N?

15m

15m 12 m

12 m

_________ 27. What is the perimeter of the figure? _________ 28. What is the area of the figure?

27 m 50m

_________ 29. What fraction of the figure is shaded?

_________ 30. One side of a regular decagon is 12 dm. What is its perimeter?

_________ 31. A circular lagoon has a radius of 12 m. How much shorter will it be to go from A to B through O, in a boat, than to go along the edge as shown by the arrows? [Use π = 3.14]

O A

B

_________ 32. What is the area of the lagoon in #31? _________ 33. Bing has a 10-m piece of string. He cut from a 3 ½ m piece and another 2 1/7 m piece. How much string remained?

2

_________ 34. What is the ratio of 25 dm to 4 ½ m? _________ 35. During a storm, 12 out of the 40 students in a class were absent. What percent of the class was absent? _________ 36. A dress marked ₱185 was bought at a sale at 15% discount. How much was paid for it? _________ 37. 144 is 32 percent of what number? _________ 38. The sum of three consecutive pages of a book is 534. What is the middle page? _________ 39. What is the total surface area of a closed wooden box, 1.5 m long, 0.4 m wide, and 0.8 m high? _________ 40. A piece of cartolina is 42 cm by 32 cm. How many circles of radius 5 cm can be cut from it? _________ 41. The bases of a trapezoidal field are 186 m and 142 m. The distance between them is 95 m. How many hectares is the field? _________ 42. The area of a table cloth is 6.3 m2. If the width is 1.8 m, what is the length? _________ 43. What is N in 7, 9, 12, 16, 21, 27, N. _________ 44. A vendor bought 120 watermelons at P32 each. He sold them at a profit of 20%.Find his profit. _________ 45. The scale of the plan of a house is 2 cm to 1 m. On the plan, a room is 7 cm by 6 cm. What is actual area of the room?

_________ 46. A family has a monthly income of ₱12,000. On a circle graph representing their budget, how many degrees will be the sector for food if they spend ₱4200 a month for food? _________ 47. Find two numbers with a sum of 50 and a difference of 14. _________ 48. The vertex angle of an isosceles triangle is 58 o. Find each base angle. _________ 49. In a 100-item test, Ricky did not answer 6 questions. His number of correct answers is 4 more than 4 times his mistakes. How many correct answers did he get? _________ 50. The base of an isosceles triangle is 4 cm more than a leg. If the perimeter is 58 cm, find the base.

3

2008 ELIMINATION – Metrobank-MTAP-DepEd Math Challenge Grade 5 Solve each item and write the answer on the blank before the number. _________1.Write “five million, thirty-four thousand, eighty” in symbols. _________2.What is the smallest digit that can be placed in the blank to make 3__,863 > 32,862? _________3.What is the value of 7 in 67 801 350? _________4.How many times will you multiply 10 by itself to get 1,000,000? _________5.Round 45,872,871 to the nearest ten thousand. _________6.What number is 1 275 more than 32 650? _________7.What is the smallest prime number greater than 80? _________8.Which of 123, 126, 177, 281, 687 is/are prime? _________9.Which of 2, 3, 4, 5, 6, 7 and 8 is/are not factors of 1260? _________10.Write 5 x 105 + 7 x 103 + 9 x 102 + 7 as one number. _________11.What is the GCF of 72 and 120? _________12.What is the LCM of 72 and 120? _________13.How many multiples of 10 are there in the numbers 1 to 328? _________14.What is the remainder when 5439 is divided by 36?

_________15.Which of 126, 351, 773, 918 is not divisible by 9? _________16.If you have P200, how many apples costing P8.50 each can you buy? _________17.What is N in [ N ] -13 [ ]

x9

[ ]

+7

[ ] - 50 [ 20 ]. .

_________ 18. What is 14 x 30 ÷ 15? _________ 19. What is the value of 73 – 53? _________ 20. In three tests, Rod got 84, 92 and 85. What was his average? _________ 21.Change

129 7

to a mixed number.

_________ 22.Reduce

80 112

to lowest .

_________ 23. Lucy bought a blouse for ₱135.75. She gave the cashier two ₱100-bills. How much change did she get? _________ 24. Rolly can cover 11.6 km/h in his bicycle. How far can he go in 2.5 hours? _________ 25. Phil has a garden 18.5 m long and 13.7 m wide. Find the perimeter of Phil’s garden. _________ 26. What is the area of the garden of Phil? 1 _________ 27.Miss Lily has 42 pupils in her Sewing Class. Each needs

2 3

m of cloth for a

placemat. How many meters of cloth does Miss Lily have to buy for them? 2 _________ 28. Mr. Go bought a lot 23 ½ m long and 18 3 m wide. What is the perimeter of the lot? _________ 29. How many degrees is the supplement of an angle of 68 o? _________ 30. Linda started a 45-minute piano lesson at 3:30 P.M. After her lesson, Linda walked home for 20 minutes. What time did Linda reach home? _________ 31. Lester left his office and drove 15 minutes to a meeting that lasted 1 hour 20 minutes. He drove another 20 minutes before arriving home at 5:00 P.M. What time did he leave his office? _________ 32. In a factory with 336 employees, 114 are men. What is the ratio of male employees to female employees? _________ 33. The ratio of two numbers is 4:7. If their sum is 132, find the bigger number. _________ 34. In a class, there are 23 girls and 19 boys. If 14 pupils got merit certificates in the Math Challenge Eliminations, what fraction of the pupils got merit certificates? _________ 35. A vendor bought 125 pineapples at ₱12 each and sold them at ₱15 each. What was his gain percent? _________ 36. What is 44% of 950? _________ 37. A stove marked ₱2850 was bought at a 15% discount. How much was paid for it? _________ 38. A pair of shoes marked ₱950 was bought for ₱760. What was the percent discount? _________ 39. A blouse was bought for P196.80 at a discount of 18%. What was the marked price? _________ 40. A string is stretched ½ cm for every 10 kilos of weight. How far will a 24-kilo

weight stretched the spring? _________ 41. A picture is 30 cm long and 22 cm wide. It is placed in a uniform frame that is 3 cm wide. What is the outside perimeter of the frame? _________ 42. A milk can has a radius of 6 cm and a height of 18 cm. How much milk does it contain?( Use π = 3.14) _________43.How many different rectangular gardens can you make, whose dimensions are whole numbers, if you have 48 m of fencing materials and the width is at least 4 m? Consider a 6 m by 18 m rectangle the same as an 18 m by 6 m rectangle. _________44.I am a decimal with my last digit in the hundredths. Rounded to the nearest tenth, I am 6.5. Rounded to the nearest whole number, I am 6. If the sum of my digits is 16, what number am I? _________45.Jim, Tim and Kim have 67 marbles together. Tim has 6 more marbles than Jim and Kim has 8 fewer marbles than Jim. How many marbles has Tim? _________46.There are bicycles and tricycles parked along a road. There are 29 wheels and 11 riders. How many bicycles are there? _________47.Twin primes are prime numbers that differ by 2, like 3 and 5. Find twin primes between 65 and 80. _________48.Nick used straws, popsicle sticks and barbecue sticks to build a model house. He used twice as many barbecue sticks as straws and 5 more popsicle sticks as barbecue sticks. He used 35 popsicle sticks. How many straws and barbecue sticks did he use? _________49.The canteen sold 327 bowls of noodles and served 185 bowls of pancit more than noodles. How many bowls of food were served in all? _________50.The scale of a school building is 2 cm to 3 m. If a library is 18 m by 13.5 m, what is its area on the blueprint?

2

2005 Sectoral Finals Metrobank-MTAP-DepEd Math Challenge Grade 5 A. 15-second questions – 2 points each 27

__________1. 50

is equal to how many percent?

__________2. What is the sum of all even numbers between 11 and 19? __________3. 4.6% is equal to how many thousandths? __________4. The product of 3 numbers is 168. If two of the numbers are 4 and 6, what is the third? __________. If 4 mangoes cost ₱65, how much will a dozen cost? __________6. What digit must replace 2 in 332 to make it divisible by 14?

__________7. If 4 bangus weigh 1 kilo, how many kilos would 112 bangus weigh? __________8. Which has a greater area, a rectangular garden that is 40 m by 30 m or a square garden that is 35 m on a side? __________9. If 3 out of 8 people in a barangay are jobless, how many out of people are jobless? __________10. Job cleaned ½ of a yard; Jess cleaned

1 3

of the

remaining part. What fraction of the yard remained uncleaned? __________11. Give all the exact divisors of 24 excluding 1.

B. 30-second questions – 3 points each (Use π = 3.14 when necessary) __________1. Each month, Mr. So saves P925 which is 5% of his monthly income. What is monthly income? __________2. What percent of 240 is 25% of 192? __________3. What is the greatest common factor of 420 and 588? __________4. What is the area of a circular plot of radius 6 m? __________5.What is the perimeter of an equilateral decagon of side 12 5 6

m?

Give the answer with the fraction part in lowest . __________6. An 8 cm by 5 cm picture is enlarged so that the longer side becomes 26 cm. What does the shorter side become? 1 C. 1-minute questions – 5 points each __________1. The length of a rectangle is twice its width. If the perimeter is 99 cm, what is the width? __________2. In the figure, A ------B--------------------C if AB : BC = 1 : 3 and AC = 54 cm, how long is BC?

__________3. What is the nearest number to 23,500 that is divisible by 435 without a remainder? __________4. Rod had twice as many stamps as Nick. After giving Nick 6 stamps he still then had 8 more stamps than Nick. How many stamps had he at first? __________5. A box is 24 cm long, 18 cm wide and 12 cm high. What is the total surface area? __________6. A pair of shoes marked ₱1750 was bought for ₱1,505. What was the percent of discount?

Clincher questions __________1. How many common multiples of 2 and 7 are there between 10 and 60? __________2. A toy marked ₱458 was sold at a discount of 15%. How much paid for it? _________3. How many multiples of 7 are there between 100 and 250?

Do-Or-Die questions __________1. Four numbers are in the ratio 2 : 3 : 4 : 5. If their sum is 168, what are the four numbers?

2

2006 Sectoral Finals Metrobank-MTAP-DepEd Math Challenge Grade 5

A. 15-second questions – 2 points each __________1. What is 180% of 500? __________2. What digit will you put in the blank in 785__ to make it divisible 4? __________3. What is the sum of the prime numbers between 20 and 30? 2 7

__________4.John finished painting a

of a wall in 1 hour. How long

will it take him to paint the whole wall? __________5. 40% of 45 is what percent of 180? __________6. What is 5252 divided by 26? __________7. How many times as great is 240,000 than 103? __________8. The area of a rectangle is 380 cm2 and its width is 12 cm. What is its length? 3

__________9. What is the reciprocal of 7 8

?

__________10. What digit can be used to replace 3 in 937 to make it divisible by 11? __________11. What is the least common multiple of 3, 8, and 10?

B. 30-second questions – 3 points each __2___ __________1.What is the value of 4 +

1 5

?

__________2. Lina pays P6 for a one-way fare to school. For how many 2-way fares will P100 be enough? __________3. The ratio of the earnings of a man and his helper is 7:4. If the man received P1,092, how much did the helper receive?

__________4. A transistor radio was sold for P900 at a profit of 20%. How much was the profit?

1 __________5. If each side of a square is increased by 20%, by how many percent is the area increased? _________6.Three-eights of the 480 pupils in a school are boys and

2 3

of them are in the primary. How many boys are in the intermediate grades?

C. 1-minute questions – 5 points each __________1. Imagine a cube. If the sum of the edges is 108 cm, what is the total surface area? __________2. A swimming pool can be filled in 12 hours by 6 equal pumps working together. How many of the same pumps are needed to fill it in 8 hours? __________3.Pete, George and Roy together have P150. P4 more than 1 3

of

the money is Pete’s. Of the remaining money, George has P8 more than Roy. How much of the money belongs to Roy? __________4. Five small squares are put together to form a cross like the red cross without overlap. If the side of each square is 8 cm, what is the perimeter of the cross? __________5. A picture 32 cm by 24 cm is framed on a piece of colored cardboard 36 cm by 28 cm. What area of the cardboard is seen? __________6. A car traveled for 3 hours at 58 km/hr and for 2 hours at 51 km/hr. What is its average speed to the nearest whole kilometer? Clincher questions

__________1. Instead of dividing by 5, Lucy multiplied by 5 and got 25. What is the correct answer? __________2. How many 2-diugit numbers are divisible by 7? __________3. The rooms in a hotel are numbered from 201 to 601. How many odd numbered rooms are there? Do-Or-Die questions __________1. There are 15 more ducks than pigs in a farm. If there are 102 legs, how many ducks are there?

2

2004 Division Orals Metrobank-MTAP-NCR Math Challenge Grade 5 A. 15-second questions – 2 points each __________1. Round each factor to the nearest 100 and estimate the product of 830 x 768. __________2. How many common multiples of 3 and 5 are there between 10 and 100? __________ 3. What is the remainder when 300 is divided by 14? 5 __________ 4. Change 7 13

to an improper fraction.

__________5. Change 2.35 to a mixed number with the fraction in lowest . __________6. A rectangle is 28 m long and 16 m wide. What is its perimeter? __________7. What is 40% of 760? __________8. Jose is 5 years older than Paul. The sum of their ages is 41 years. How many years old is Jose? __________ 9. What is 27 more than the product of 4 and 18? __________10. What is 24 x 32 equal to?

__________11. Reduce

54 72

to lowest .

B. 30-second questions – 3 points each __________1. How many 7 dm pieces of ribbon can be cut from a spool of ribbon 50 meters long? __________2. A kilo of grapes costs ₱125. How much will I pay for 2.75 kilos? __________3. A pair of shoes marked ₱350 was sold for ₱287. What was the percent discount? __________4. A meter stick was cut into two pieces at the 45 cm mark. What is the ratio of the shorter piece to the longer piece? __________5. The area of a triangle is 294 cm2. If the base is 28 cm, what is the altitude? __________6. Carlo has 36 ballpens. Nine of them are blue and the rest are black. percent of the ballpens are black? 1 C. 1-minute questions – 5 points each __________1. A bathroom is 2.7 m long and 1.8 m wide. How many square tiles each 5 cm on a side are needed to cover its floor? __________2. A car uses 8 liters of gasoline for a distance of 90 km. How many liters will be needed for a round trip to a town 135 km. away? __________3. Nine small squares are put together to form a bigger square. If the perimeter of the big square is 60 cm, what is the area of each small square? __________4. Three numbers are in the ratio 3:5:7 and their sum is 135. What are the 3 numbers ?

__________5. What is the largest number less than 7,195 that is divisible by 372? __________ 6. 5 times a number is 135. What is 19 less than 7 times the number?

Clincher questions

__________1. If 3.5 x 6.8 = 23.8, what is 35 x 680 ? __________2. How many ballpens each costing ₱5.60 can I buy if I have ₱50? __________3. All prices increased by 15%. What is the present price of an item used to cost ₱75?

Do-Or-Die questions __________ 1. A class of 39 students standing in a circle counted 1, 2, 3, … until 39. Then, those who counted an odd number sat down. Those standing counted 1, 2, … once more. Those who counted odd numbers sat down, too. How many students remained standing?

__________ 2. A contractor finished 2.7 km of road in 12 days. On the average, how many meters of road was finished in one day?

2

2005 Division Orals Metrobank-MTAP-DepEd Math Challenge Grade 5 A. 15-second questions – 2 points each __________1. What is ¾ of P10? __________ 2. The diameter of a circular garden is 12 meters. Give its radius in centimeters. 90

__________3. 200

is equal to how many percent?

__________4. Write 0.875 as a fraction in lowest . __________5. Write 105 + 103 as one number. __________6.Which fraction is greater,

5 16

4

or 15

__________7. A rectangle is 18 cm long and 14 cm wide. What is its perimeter? __________8.How much more is 5 ½ than 4 1/3 __________9. One number is twice another and their sum is 90. What is the bigger number? __________10. What is the greatest common factor of 32 and 48? __________11. What is 300% of ₱600? B. 30-second questions – 3 points each __________1. The zoo has 5 deer for every 7 monkeys. How many deer are there if there are 21 monkeys in the zoo? __________2. What is the circumference of a circle if its radius is 42 cm? [Use π = 22/7] __________3. One side of a square is 12 cm. How much bigger is the area of a square whose side is 5 cm longer? __________ 4. If 4 papayas cost ₱110, how many papayas can you buy with ₱275? __________5. A cake is 45 cm by 30 cm. If 3 equal slices are cut from one end of the cake, the remaining part is a square. How wide is each slice? __________6. Mike got 80% on a 45 item Math test. How many items did he miss? C. 1-minute questions – 5 points each __________1. If the product of 2 numbers is 24 1 3

, what is the

other number? 1

2 3

and one number is 5

__________2. Tom got 85%, 80%, 76%, 84%, and 90% on five Math tests. What must he get on the next test to have an average of 85%? Less by __________3. A ₱300 pair of pants was increased by 25%. During a sale later, the new price was reduced by 25%. Was the sale price more or less than ₱300 and by how much? __________4. Mark bought twice as many notebooks as Dennis. If the two paid ₱375 in all, how much did Mark pay? __________5. A plate just fits into a square box. If the circumference of the plate is 78.5 cm, what is the inside perimeter of the box? __________6. 20% of 93.73 is what percent of 75, to the nearest whole percent?

Clincher questions __________1.What is

5 8

5

÷ 16

__________2. A laundry woman charges ₱150 for 4 hours of work. At the same rate, how much will she charge for 6 hours of work? __________3. Blanca had ₱925 in the bank. On Monday, she withdrew ₱350. On Thursday, she deposited twice what she withdrew on Monday. How much money had she then in the bank? Do-Or-Die question __________1. The three angles of a triangle are consecutive multiples of 5. What is the measure of the largest angle?

2

Grade 5 2008 Division Orals Metrobank-MTAP-NCR Math Challenge A. 15-second questions – 2 points each __________1. Give the greatest common factor of 45, 75, 120 ? __________2. Write 85% as a fraction in lowest . __________3. What fraction is midway between

1 5

and

1 3

?

__________4. What is the reciprocal of 2.75? __________5. Give the prime factorization of 98. __________6. What is the smallest whole number that rounds to 5,000 to the nearest thousand? __________7. In a class of 40, 25 are on the honor roll. What percent is this? __________8. The sum of 2 numbers is 42. If one number is 8 more than the other, give the two numbers. __________9. If 13 is subtracted from 3 times a number, the result is 68. What is the number? __________10. What is the quotient of

15 6

divided by ¼?

__________11. The perimeter of a square is 19.2. How long is one side?

B. 30-second questions – 3 points each __________1. Joe bought a pair of shoes for ₱695 and a pair of socks for ₱65. How much change did he get from the ₱1000-bill he gave the cashier?

__________2. Joyce missed 7 words on a spelling test. If she got 72%, how many words were in the test? ABC, if angle A = 40o and angle B = 65o, what is

__________3. In angle C?

1

__________4. The circumference of a circle is 26.4 cm. Find the diameter. Use π =

22 7

?

__________5. In a grocery store, apples cost ₱15 each. A vendor sells the same kind at ₱168 a dozen. How much do I save if I buy 2 dozens from the vendor? __________6. Of 225 Grade 5 pupils, 44% are under 11 years old as of December 31. How many pupils are under 11 years old? C. 1-minute questions – 5 points each __________1. The length of a rectangle is 5 cm more than the width. The perimeter is 70 cm. Find the length and width of the rectangle. __________2. A fraction reduces to

3 5

. Its denominator is 60 more

than the numerator. What is the fraction? __________3. How much money is deposited at 3.5% simple interest if the interest in one year is ₱2,450? __________4. Nick used wire to make the frame of a cube with a volume of 125 dm3. What is the total length of the edges of the frame? __________5. The total cost of 3 T-shirts at ₱105 each and 6 similar blouses is ₱1155. What is the cost of a dozen of the blouses? __________6. The scale of a map is 1 cm : 50 km. How far apart are two cities that are 3.2 cm apart on the map? Clincher questions __________1. What is the remainder when 300 is divided by 27? __________2. The width of a rectangle is 26.4 cm and its perimeter is 117.8 cm. What is the length?

__________3. 20% of 120 is what percent of 96? Do-Or-Die questions __________1. The three angles of a triangle are consecutive multiples of 5.Find the three angles. 2

Grade 5 2007 Division Team Competition Metrobank-MTAP-DepEd Math Challenge A. 15-second questions – 2 points each __________1. What is the smallest number that is divisible by 9, 24, and 36? __________2.By how much is 20 greater than 8

4 7

?

__________3. Write the product of 450 x 4000 in scientific notation. __________4. What is the difference between 4 m and 155 cm? (answer in meters) __________5. If 12 is subtracted from 5 times a certain number, the result is 88. What is the number? __________6. What number is 10 more than (1.5) 2 ? __________7.Two numbers are in the ratio 8:15. If the smaller number is 96, what is the larger number? __________8. If 5 out of 9 people in the auditorium are young adults, how many out of 801 people are young adults? 9

__________ 9. Express the fraction 50

as a percent.

__________10. A basketball team lost 20% of the 40 games that they played. How many games did they win? __________ 11. What do you call a polygon having 9 sides?

B. 30-second questions – 3 points each [Use π = 3.14]

__________1. Jim ate ½ of a melon, Joy ate

1 6

of the remaining part. What

fraction of the melon was left? __________ 2. How many pieces 0.8 m long can be cut from a board 4.88 m long? __________3. At a recycling station about 3% of the bottles returned are broken. If 1200 bottles are returned, how many bottles are probably broken?

1 __________4. A circular plot has a radius of 8 m. Find the area of the plot. __________5. Of 30 pupils in a class, 18 took up sewing, 15 took up cooking, and 6 took up both sewing and cooking. How many did not attend either subject? __________6. If 3 is added to a number and the sum is multiplied by 9, the result is 108. Find the number.

C. 1-minute questions – 5 points each __________1. What is the regular price of a toy robot which is sold at ₱175 at a discount of 30%? __________2. For working for 20 minutes, a carpenter was paid ₱125. At this rate how much will he be paid if he works for 2

1 2

hours?

__________3. Dan receives a commission of 8% for every newspaper he sells. How much does he earn for selling 56 newspapers at ₱15 each? __________4. A rectangular lot is 155 m long and has a perimeter of 500 m. What is the width? __________5. Ann had ₱P500. She bought 3 T-shirts of the same price and had ₱9.50 left. How much did each T-shirt cost? __________6. A farmer harvested 3 ½ dozen pieces of vegetables. If

1 3

are

eggplants and the rest are carrots, how many carrots did he harvest? Clincher questions __________1. What is the remainder when 388 is divided by 19? __________2. Sarah scored 18 out of 24 in Math and 24 out of 33 in English. In which test did she do better?

__________3. There are 26 rows of 36 seats in a theater. In a performance, 90% of the seats were filled. How many saw the performance? Do-Or-Die questions __________1. A farmer has chickens and pigs in his farm. If he counted 36 heads and 102 feet, how many chickens are there?

2

2006 Division Team Finals Metrobank-MTAP-NCR Math Challenge Grade 5 A. 15-second questions – 2 points each (Answers in fractions must be in lowest .) 68 13

__________1.Express

as a mixed number.

__________2. What number is 18 more than 152? __________3. What is the quotient of 0.085 divided by 17? __________4. How many 25¢ pieces are equal to ₱73? __________5. Two numbers are in the ratio 7:12. If the smaller number is 105, what is the bigger number? __________6. The area of a square is 625 cm2. What is its perimeter? __________7. 65 cm less than 3 m is equal to how many meters? __________8. What is the greatest common factor of 45, 75 and 120? __________9.What is

5 6

of the sum of 3

1 3

and 5

2 3

?

__________10. 16 is what percent of 40? 3 __________11.What is the reciprocal of 23 4

?

B. 30-second questions – 3 points each __________1. Write the product of 125 x 3000 in scientific notation.

__________2. Lyn bought a camera for ₱695.50 and 2 rolls of film at ₱105 a roll. How much change did she get from a ₱1000bill? __________3. How many hours are there in 250 minutes and 120 seconds? __________4.Nina bought 1 and 5

1 2

3 4

m of blue cloth. 2

3 5

m of red cloth

m of white cloth. How many meters of cloth in all did

she buy? __________5. Jake drove 252 km in 4

2 3

hours. What was his

average speed the journey? __________6. When 9 times Ricky's age is decreased by 15, the result is 84 years. How old is Ricky? 1 C. 1-minute questions – 5 points each __________1. Dante got 72 out of 81 questions in the first part of a test and 36 out of 42 in the second part. In which part did he get a higher percentage of correct answers? __________2. A set of 6 books cost ₱972. Single books of the set bought separately cost ₱180.50. How much less is the cost per copy if you buy the whole set? __________3.Express (3 x 10 ) + (9 x 10 ) + (6 x 10 ) + (2 x 6

4

2

1 10

2

)

in standard form? __________4.Roel won ₱280,000 in a lottery. He gave ¼ of the money to his brother who in turn gave

3 8

of what he received to his

wife. How much did the wife receive? __________5. A bakery uses 5 cups of flour for every 2 loaves of bread. How much flour is needed for 6 dozen loaves of bread? __________6. What is the sum of the prime numbers between 40 and 60? Clincher questions __________1.How much is 17 greater than 5

3 8

?

__________2.Mrs. Andaya had 2 dozen apples. She used dozen to make fruit salad and

2 3

5 6

of a

of a dozen to make apple tart. What

fraction of a dozen of the apples remained? __________3. Three different triangles are placed side by side as shown. What is the sum of the angles of the polygon formed?

Do-Or-Die questions __________1. A cube of 4 inch is made up of individual 1 inch cubes. How many of the individual cubes are face to face with exactly four other 1 inch cubes?

2

2005 Regional Finals Metrobank-MTAP-DepEd Math Challenge Grade 5 A. 15-second questions – 2 points each __________1. What is 27 more than 135 divided by 9? __________2. What number between 60 and 100 is divisible by 4 and 9? __________3. What is 35 – 26? __________4. What is 15% of 650? __________5. Write

7435 10000

as a decimal.

__________6. If a 108 m string is divided into 3 parts in the ratio 2 : 3 : 4, what is the length of the longest part? __________7. What is the remainder when 4650 is divided by 23?

__________8. If it takes 35 m of material to make 2 pairs of drapes, how many meters will be needed for 5 pairs of drapes? __________9. What is the greatest common factor of 75, 90 and 105? __________10. How many 7-dm pieces of ribbon can be cut from a spool of ribbon 50 meters long? __________11. Three numbers are in the ratio 3 : 5 : 7. If their sum is 135, What is the biggest number? B. 30-second questions – 3 points each __________1. If the average thickness of books in a 3.5 m long shelf full of books is 3 : 2 cm, about how many books are on the shelf? __________ 2. A team won 18 out of 24 games it played. At the same rate, how many games will it be expected to win in playing 52 games? __________3. A pair of shoes marked ₱650 was bought for ₱546. What Was percent discount?

1 __________4. ABC is isosceles with base BC. If BC = 35 cm and AB is 7 cm longer than BC, what is the perimeter of ABC? __________5. Miss Garcia has 45 students. If each student needs 2

1 3

m of cloth for a class project, how many meters of cloth has she to buy? __________6. If 537 x 287 = 154,119, what is 5,370 x 287,000 ?

C. 1-minute questions – 5 points each __________1. A circular pond has a circumference of 110 m. What is the

length from one point to another point of the pond through the center of the pond? Use =

20 7

__________2. Twenty ₱5-coins are to be divided into 4 piles so that there is a different number of coins in each pile, e.g. the coins can be put into 4 piles of 1, 2, 3, 14 coins. What is the smallest possible number of coins that can be placed in the largest pile? __________3. What is the ones digit of 295? __________4. A flower plot is 7.5 m by 5.6 m. How many cubic meters of soil will be needed to raise the soil by 18 cm? __________5. If 2*3 = 15, 3*4 = 28, 5*4 = 36, what is 8*5? __________6. A car uses 12 liters of gasoline for a distance of 90 km. how many liters will be needed for a round trip to a town 135 km away? Clincher questions __________1. Two complementary angles are in the ratio 7 : 8. Find the bigger angle. __________2. The sum of 3 consecutive numbers is 273. Find the 3 numbers. __________3. I used ¼ of my money on Monday;

5 7

of what remained

on Tuesday and then, I had exactly P60 left. How much had I at first? Do-Or-Die questions __________1. A grass lawn is 92 m by 68 m. At each of the 4 corners, there is a flower plot that is 18 m by 12 m. What is the area of the grass? 2

2006 Regional Finals Metrobank-MTAP-DepEd Math Challenge Grade 5

A. 15-second questions – 2 points each __________1. 75% of the 180 Grade 5 pupils in a school are at least 11 ½ years old. How many of them are less than 11 ½ years old? __________2. How many 10-thousandths are equal to 45-hundredths? __________3. If 5 is added to the numerator and denominator of

7 9

,

give in lowest the fraction that results. __________4. A rectangular garden is 9.5 m long and 8 m wide. What is its area? __________5. The gasoline tank of a car is

5 8

full. It took 24 liters to fill

it. What is the capacity of the tank when full? __________6. What digit can be placed in the blank of 8537__ to form a number divisible by 6? __________ 7. If 206.95 ÷ 36.5 = 5.67 to the nearest hundredth, what is 206.95 ÷ 0.365? __________8. What is the greatest whole number less than 1000 that rounds down to the hundred below it? __________9. A 12 m by 9 m room has an 8 m by 6 m carpet in the middle. What area of the room is not covered? __________10. If 11 + 12 + … + 20 = 155, what is 31 + 32 + 33 + … + 40? __________11. What number is 17 more than 128 divided by 8?

B. 30-second questions – 3 points each

__________1.The sum of two numbers is 85 6 7

2 3

. If one number is 39

, what is

the other number? __________2. For every 15 sampaguita garlands Rosa makes. Liza can make 18. If one day Liza made 126 garlands, how many did Rosa make? __________3. One kilometer is approximately

5 8

of a mile. If the speed

of a satellite is 18,000 miles per hour, what is its approximate speed in kilometers per hour? __________4. If 30% of a number is 174, what is ½ of the number?

1 __________5. The scale of a map is 1 cm to 30 km. How far apart, to the nearest cm, on the map are two towns 470 km apart? __________6. Write 8.625 as an improper fraction in lowest .

C. 1-minute questions – 5 points each __________1. On a square piece of cartolina of side 16 cm, a circle of radius 8 cm is drawn and then cut off. What is the area of the square, to the nearest sq. cm. that remains after cutting off the circle? __________2. A cardboard box is 65 cm long, 40 cm wide and 30 cm high in internal measurement. It is packed with soap 8 cm long, 5 cm wide and 4 cm thick. How many pieces of soap can the box contain? __________3. John made a cubical lantern. The total length of the edges is 72 cm. What is the total surface area that John has to cover? __________4. What is the ones digit of 353 ? __________5. __________6.

Clincher questions 1. 2. 3.

Do-Or-Die questions 1.

2

2007 Regional Finals Metrobank-MTAP-DepEd Math Challenge Grade 5 A. 15-second questions – 2 points each __________1. If 3.05 x 76.9 = 234.545, what is 30.5 x 7.69? __________2. What digit(s) placed in the blank in 73528__ will make it divisible by 6? __________3. What is the sum of the largest prime number less than 100 and the smallest prime number greater than 100? 2

__________4. If 3

of the area of a rectangle is 84 cm2, what is the

whole area? __________5. If John began doing his homework at 6:25 and spent 85 minutes doing it, what time did he finish? __________6. For every 9 garlands that Jane can make, Ann can make 8. If Ann made 56 one afternoon, how many garlands did the two make? __________7. A 16 cm by 12 cm picture was enlarged so that its dimensions increased by 25%. What are the dimensions of the enlarged picture? __________8. Give the smallest and the largest numbers that round to 250 to the nearest ten. __________9. Carla bought green mangoes at P20 a dozen and sold them at 3 for P8. If she sold 20 dozens, how much did she gain? __________10. What is the smallest multiple of 7 that is divisible by 13? __________11. What is MCMXCIV in Hindu-Arabic? B. 30-second questions – 3 points each

__________1. Five consecutive odd numbers have a sum of 215. What is the largest number? __________2. A piece of plastic sheet is 3 m by 2 m. How many 6-dm by 5-dm pieces can be cut from it? __________3. What is the smallest number by which you can multiply 2520 to make it a perfect square? __________4. What digit can be placed in 52,14__ to make it divisible by 7? __________5. Find the product of the biggest prime number less than 40 and the smallest prime number greater than 40. __________6. What is the sum of 137 and the quotient of 540 divided by 12? 1 C. 1-minute questions – 5 points each Use = 3.14 __________1. A distance of 65 km is represented on a map by 8 cm. To the nearest tenth of a cm, how long is a line representing 95 km? __________2. A train travels 60 km in

3 4

hour. If it maintains the same

average speed, how far will it travel in 2 ½ hours? __________3. Sixteen small squares are put together to form a bigger square. If the perimeter of the big square is 192 cm, what is the area of each small square? __________4. A grass lawn is 85 m by 60 m. At each end, there is a circular flower plot of radius 9 m. What is the area covered by grass to the nearest square meter? __________5. What is the smallest number that leaves a remainder of 5 when divided by 12, 14, 18? __________6. What is the sum of the cubes of the first 3 odd prime numbers?

Clincher questions __________1. What is the largest 3-digit number divisible by both 2 and 3? __________2. Each base angle of an isosceles triangle is 9o more than the vertex angle. Find each base angle. __________3. A piece of rope 75 m-long is cut into three pieces in the ratio 4:5:6. How long is the longest piece?

Do-Or-Die questions __________1. A class of 25 stood in a circle. They counted off 1,2,3,1,2,3, … Each student that counted 3 sat down. After the third round of counting, how many students remained standing?

2 2005 Regional Individual Finals Metrobank-MTAP-DepEd Math Challenge Grade 5 Solve each problem on scratch and write the answer on the blank before the number. [ 2 points each] __________ 1. Thrice what number is the same as the sum of 456 and 624? __________ 2. What is the greatest common factor of 140 and 245? __________ 3. What is the least common multiple of 140 and 245? __________ 4. ABCD is a rectangle. Find the area of the shaded part. A B

DC __________ 5. There are 78 electric posts. The first is in town A and the last is in town B. If the posts are 50 m apart, find the distance between the towns. __________ 6. Jack finished painting

2 7

of a wall in 1 hour 24 minutes.

How long will he take to finish the whole wall? __________ 7.Three-eighths of the 480 pupils in a school are boys and 2 3

of them

are in the primary. How many boys are in the intermediate grades? __________ 8. Lucy wants to cover completely a lottery box 6 dm by 3.5 dm by 7.2 dm. How much surface has she to cover? __________ 9. Lina pays P5.50 for a one-way ride to school. For how many two-way fares will her P100 be enough? __________ 10.The gasoline tank of a truck is

5 8

full. It needed 51 liters

to fill it. What is its capacity when full? __________ 11. A pair of shoes was sold for P747.50 with a gain of 15%. What was the cost price of the shoes? __________ 12. A picture 32 cm by 24 cm is framed on a piece of colored cardboard 36 cm by 28 cm. What area of the cardboard can be seen? __________ 13. How many bags of cement will you buy to pave a path 32 m long and 1.8 m wide if a bag of cement can cover 12m2 of the path? __________ 14. For every 15 sampaguita garlands that Luz can make, Liza can make 18 garlands. How many garlands did Luz make when Liza made 126 garlands? __________ 15. Lulu can put her pictures 4, 5 or 6 to a page, in her album, with 2 pictures left over in each case. What is the smallest number of pictures that Lulu has for the condition to hold? 1

In Parts II and III , solve each problem on scratch paper and write a neat and complete solution on the space provided. Show details of the solution as partial credit will be given. Part II. Solve each problem. [3 points each] 1. Rounded to tenths, I am 5.4. Rounded to ones, I am 5. Write 6 numbers that I can be.

2. There are 15 more ducks than pigs in a farm. If there are 102 legs, how many pigs are there?

3. The lengths of the sides of a triangle are consecutive odd numbers. Find the lengths of the sides if the perimeter is 7 cm less than 4 times the shortest side.

4. John made a cubical lantern. The total length of its edges is 36 dm. What is the total surface area that he has to cover?

5. A cube of side 5 dm is made up of individual 1-dm cubes glued together. How many of the 1-dm cubes are face to face with exactly four other cubes?

Part III. Solve each problem. [5 points each] 1. Rosa has P850; Jane has P225 less than twice as much as Rosa while Lily has P65 more than twice Rosa’s money. How much money do the three girls have?

2. John agreed to work after school for 8 weeks for a fixed weekly rate. But instead of being given only money for his work, John agreed to receive P850 and a bicycle. After 5 weeks, John got sick. He was given P250 and a bicycle. How much is the bicycle worth?

3. Let T be the set of all divisors of 120. Q, the set of all multiples of 3 and S, the set of all whole numbers less than 70. Find all numbers N so that N is in each of the three given sets. 2 2006 Regional Individual Finals Metrobank-MTAP-DepEd Math Challenge Grade 5 I. Write the answer on the blank before the number. [ 2 points each]Time: 90 minutes

__________ 1. Express 3960 as a product of prime factors using exponents. __________ 2. A typist types 75 words in 2 minutes. At this rate, how long would it take to type a term paper of 1125 words if a 5 minute allowance is given for change of paper? __________ 3. What is the greatest common factor of 154 and 198? __________ 4. What is the least common multiple of 154 and 198? __________ 5. An angle is 12o more than its complement. Find the angle. __________ 6. A car traveled at 50 km/hr for 4 hours and at 60 km/hr for 3.5 hours. What is the average speed to the nearest km? __________ 7. How many strips of colored paper 1.5 cm wide can be cut from a piece 22.5 cm wide? __________ 8. Two numbers are in the ratio 3:5. If their difference is 28, what is the bigger number? __________ 9. A tower cast a shadow of 15 m when a pole 6 m high cast a shadow of 2.5 m. How high is the tower? __________ 10. The average of 13 numbers is 57. Two of the numbers, namely 78 and 102 are removed. What is the average of the remaining numbers? __________ 11. About how many times must a jogger go completely around a park 95 m by 75 m to make sure he has run 3 km? __________ 12. A salesman has a basic salary of P2,500 a month. He gets a

commission of 6% of all sales above P20,000. How much did he get in a month when his sales amounted to P197,500? __________ 13. A refrigerator marked P9,750 was bought for P8,580. What was the rate of discount? __________ 14. The edge of one cube is double that of another. How many times as great is the volume of the bigger cube than the smaller cube? __________ 15. Find the value of: 20 ÷ 2 + 30 ÷ 3 – 40 ÷ 4 + 50 ÷ 5. II. Solve each problem on scratch paper and write a neat and complete solution in the space below and at the back. Label your solutions. [3 points each] 1. If 4 * 2 # 2 = 12, 5 * 3 # 4 = 32, and 3 * 5 # 3 = 24, what is 7 * 6 # 4?

2. The scale of a house plan is 2 cm to 3 m. a. What are the dimensions of a room that is 9 cm by 6 cm in the plan? b. If a room is actually 7.5 m by 6 m, what are its dimensions in the plan? 1 3. A courtyard is 33 m by 27 m. How many squares 5 dm on a side can be drawn on it if none of the squares overlap?

4. A school carpenter made 45 stools, some 3- legged, others, 4legged. If he used 152 legs, how many of each kind did he make?

5. Ron is thinking of a 3-digit number less than 500. If he exchanges the ones and hundreds digits, the new number is 396 more. If he exchanges the ones and tens, the new number is 18 more. Find as many numbers as you can of which Ron is thinking.

III. Solve each problem on scratch paper and write a neat and complete solution on the space below. Label your solutions. [5 points each] 1. Using 1, 2, 3, and 7, how many 2-digit numbers can be formed a. if no digit is repeated? b. if any digit may be repeated? c. which numbers formed in (b) are even? d. how many of the numbers formed in (b) are odd?

2. What is the sum of 1 + 3 + 5 + 7 + … + 495 + 497 + 499?

3. The 4-digit number A 5 5 B is divisible by 18. What can A + B be? What numbers can A 5 5 B be? Give all possible pairs of A and B that will make A 5 5 B divisible by 18.

2 2007 Regional Individual Finals Metrobank-MTAP-DepEd Math Challenge Grade 5 Solve each item and write the answer on the blank before the number. [ 2 points each] Use = 3.14 or

22 7

Time: 90 minutes

__________ 1. Write six billion, four hundred thirty-six million, one hundred fifty-two thousand, sixty-five in Hindu-Arabic. __________ 2. If 8 boys eat 12 kilos of rice a week, how much rice will 10 boys eat in 2 weeks? __________ 3. After spending of the

3 5

of her money on three T-shirts and

2 3

remaining money on a book, Tina found she had exactly ₱96. How much money had she at first? __________ 4.If

4 5

of a tank can be filled in 15

1 5

min, how long will

it take to fill the whole tank? __________ 5. The product of 68 x 40 is 2720. What is the product of 6 800 x 4 000? __________ 6. The three sides of a triangle are 15 5

and 13 6

1 2

cm, 12

1 5

cm

cm.

What is its perimeter? __________ 7. How many 6.5 cm pieces of ribbon can be cut from a piece 20 m long? __________ 8. A man drives at 40 km/hr for 3 hours and at 50 km/hr for 2 hours. What is the average speed for the journey? __________ 9. A park is 120 m long and 105 m wide. About how many times must a jogger go around the park completely to make sure he has run at least 3 kilometers? __________ 10. A piece of cartolina 45 cm by 36 cm is cut into equal squares the biggest that is possible so that no material will be wasted. How many squares can be cut? __________ 11. A pole is driven into the ground so that

11 15

of it is

above the ground. If 8 dm of it is in the ground, how long is the pole? __________ 12. Two numbers are in the ratio 3:4. If one number is 16 more than the other, what is the bigger number? __________ 13. A cyclist rode 35 km at 10 km/hr and another 30 km at 12 km/hr. How long did he take for the journey? __________ 14. A man is going to build a fence around a rectangular yard 40 m long and 36 m wide. If the posts are to be 2 m apart and one additional post is needed for the gate, how many posts are needed? __________ 15. Find the smallest and the biggest numbers that round to 7 800 to the nearest hundred. II. Solve each problem on scratch paper. Then, write a neat, clear and complete solution for it on the space provided. [3 points each]

1. A rectangular garden is 55 m by 32 m. How much would it cost to fence the garden with 4 strands of barbed wire at ₱25 a meter. 1 2. Study the following. 4 * 2 # 2 = 12, 3 * 5 # 3 = 24, 5 * 3 # 4 = 31. What is 7 * 6 # 4?

3. A can plough a field in 60 hours; B can do it in 48 hours and C can do it in 50 hours. How long will it take C to finish ploughing it alone after A and B have each done 12 hours of work?

4. Cupcakes cost ₱4.50 and Brownies cost ₱6.50. How many of each kind can be bought for exactly ₱94.50?

5. A grass lawn is 88 m long and 66 m wide. There are 3 circular flower plots of radius 5 m along the middle. What is the area of the grass in it?

III. Solve each problem on scratch paper. Then, write a neat, clear and complete solution for it on the space provided. [5 points each] 1. Using 1, 2, 3, 4 and 7, how many 2-digit numbers can you form if a. no digit may be repeated? Can you explain your answers? b. any digit may be repeated? c. how many of the numbers formed in (b) are even?

2. A piece of wire 132 cm long is cut and formed into 3 circles whose

circumferences are in the ratio

1 3

:

1 2

:

1 6

.Find the sum of the

diameters of the largest and smallest circles.

3. One-third of the area of a rectangle is equal to

4 5

of the area of a

square of side 15 cm. If the width of the rectangle is 18 cm, find its area, length and perimeter.

2

Grade 5 2008 Regional Individual Finals Metrobank-MTAP-DepEd Math Challenge I. Solve each item and write the answer on the blank before each number. [2 points each] __________ 1. What is the tens digit of (8 x 100) + (8 x 40) + (4 x 8)? __________ 2. What will you add to 1111 to get a sum of 10 100? __________ 3. What is (777,777,777 + 7) ÷ 7 ? __________ 4. What is the LCM of 420 and 252? __________ 5. Express 12,600 as a product of its prime factors. __________ 6. What is N, the answer in (20 ÷ 2) + (30 ÷ 3) + (40 ÷ 4) + (50 ÷ 5) = [ ] ÷ 5 = N ? __________ 7. If 6 widgets equals 12 fidgets, then 10 widgets equals how many fidgets? __________ 8. What must be added to the difference of 15,004 and 9007 to make it 10,000? __________ 9. How many pints of paint will you buy to paint a roof, 48 m by 22 m, with two coats if a pint can cover 18 m2 of paint? __________ 10. A 108-meter piece of nylon string was divided among 3 boys in the ratio 1 : 1.5 : 2. How long was the longest piece? __________ 11. How many 4-digit numbers can you make using all the digits 0, 4, 5 and 7? __________ 12. Lita has a sewing box which is 24 cm by 18 cm by 10 cm.

What is the total surface area to be covered with silk? __________ 13. The edge of one cube is double that of another. How many times as great is the volume of the bigger cube? __________ 14. Ray read

2 9

of a book on Friday and

1 3

of it on Saturday.

The rest, 160 pages, he read on Sunday. How many pages has the book? __________ 15. A bus travels 36 km in 45 min. How far will it go in 1 ¼ hours? II. Solve each item on scratch paper; then write a neat and complete solution on the space after Part III and the paper provided. [3 points each] 1. How many blocks measuring 3 in by 4 in by 5 in can be packed in a box measuring 4 ft by 5 ft by 3 ft internally? 1 2. Sheila went to Megamall. She spent Penshoppe and spent

1 3

1 3

of her money at Bayo. She went to

of her remaining money. Finally, at Cinderella, she

spent the remaining ₱180. If she had no money left, how much money did she begin with?

3. A courtyard is 36 m by 24 m. How many squares, 3 dm by 3 dm can be drawn on it if none of the squares overlap?

4. Find the amount of wood used to make an open box, 25 cm long, 14 cm wide and 8 cm high, external dimensions, if the wood used is 5 mm thick.

5. The product of two numbers is 5040. If the greatest common factor is 12, what is the least common multiple? Find two numbers that satisfy the conditions.

III. Solve on scratch paper; then write a neat and complete solution on the space provided. Explain your solution. [5 points each]

1. The product of three whole numbers is 2730. If no two of the three whole numbers have a common factor, find as many triples of numbers as you can find that satisfy the conditions. 2. The cost of one 2-liter bottle of juice is 5 times the cost of a can of juice. If one 2-liter bottle costs ₱20 more than 3 cans of juice, how much does one 2liter bottle cost? 3. Mark, Ray and Carlo shared 1200 marbles in the ratio 4 : 5 : 7. During a game, Mark won

4 15

of Carlo’s marbles, and Ray lost

2 25

of his marbles to

Carlo. At the end of the game, how many marbles did each boy have?

2 2002 FIRST NATIONAL-Metrobank-MTAP-DepEd Math Challenge Grade 5 Solve each item and write the answer on the blank before the number. [Use π = 3.14] _________ 1. What is the value of 8 in 86 543 217? _________ 2. Write MDXL in Hindu-Arabic. _________ 3. Write three million, four hundred fifty thousand, sixty-five in figures or standard form. _________ 4. How many times greater is the underlined 6 in 4 567 564 than the 6 that is not underlined? _________ 5. If I can save ₱75 a month, how much do I save in 4 years? _________ 6. Find N in the pattern: 2, 3, 5, 8, 12, ___ , N. _________ 7. What is the remainder when 564 is divided by 23? _________ 8. A farmer harvested 109 cavans of palay from his field. If each cavan sold for ₱350, how much did he get? _________ 9. What is the sum of the first 5 prime numbers greater than 50? _________ 10. Three more than 6 times a number is 45. What is the number. _________ 11. If I multiply a number by 8 and then subtract 15 from the product, the result is 65. what is the number? _________ 12. Find the sum of 1 + 2 + 3 + 4 + … + 18 + 19 + 20. _________ 13. Erl is 3 years older than Dhang. Together, their ages total 21 years. How old is Erl?

_________ 14. What is the GCF of 54 and 90? _________ 15. What is the LCM of 54 and 90? _________ 16 What is the smallest number that has 12, 13 and 30 as factors? 1 2

_________ 17.Evaluate: 3 ÷ [4 _________ 18Reduce

56 84

_________ 19.Jean bought 5

5 x1 6

].

to lowest . 3 5

m of white cloth and 3

3 4

m of blue cloth. How many

meters of cloth did she buy? _________ 20. Zeus has a string 26

2 3

dm long and Ador has one that is 17

4 5

dm long.

How much longer is the string of Zeus? 2 1 _________ 21.Divide 4 3 by 3 9 .

_________ 22. Add

2 3

_________ 23.Change 5

to the quotient of 4 divided by 5. 7 13

to an improper fraction.

_________ 24. Joy bought 4 mangoes for ₱46. At the same rate, how much would a dozen cost? _________ 25. Hercules had a temperature of 39.4 oC this morning and 37.8 OC this afternoon. By how much did the temperature go down? 1 _________ 26. If 4.26 ÷ 3 = 1.42, what is 42.6 ÷ 0.142? _________ 27. Change 155% to a fraction in lowest . _________ 28.Change 2

1 5

to percent.

_________ 29. A student got 90% of a test. He answered 36 items correctly. How many items were in the test? _________ 30. Out of 100 students in Grade 5, 48 are boys. What percent of the Grade 5 students are girls? _________ 31. There are 450 Cub and Boy Scouts in a school. If 70% are Cubs, how many are Boy Scouts? _________ 32. Find N if N : 90 = 14 : 30. _________ 33. If 200 is divided in the ratio 1 : 2 : 5, what is the middle part? _________ 34. If 7 men can do a job in 6 days, how many men can do the work in 3 days? _________ 35. A restaurant charges 3.5% service tax. If your order amounted to ₱210.50, how much in all did you pay?

_________ 36. Tessie uses 2.2 meters of cloth for one uniform. How many uniforms can she make from 20 meters of cloth? _________ 37. Find the perimeter of a regular pentagon with sides that are 90 dm long. _________ 38. A circular man-made lake has a radius of 30 m. What is its area? _________ 39. A rectangular field is 95 m long and 78 m wide. If you run around it 4 times, how many meters will that be? _________ 40. An angle is twice its complement. Find the angle. _________ 41. A closed box is 7 dm by 4 dm by 5 dm. What is its total surface area? _________ 42. What is the volume of the box in #41? _________ 43. The base of an isosceles triangle is 29 cm and the perimeter is 75 cm. How long is a leg? _________ 44. A circular pool has a diameter of 24 meters. If you walk around it, how many meters will that be? _________ 45. A base angle of an isosceles triangle is 52 o. Find the vertex angle. _________ 46. An angle is 10o more than its supplement. Find the angle. _________47. Nelly made a circle graph to represent her day of 24 hours. If she works for 8 hours, how many degrees is the sector that represents her work? _________ 48. The scale of a map is 1 cm to 30 km. If two cities are 450 km apart, how far apart are they on the map? _________ 49. The parallel sides of a trapezoidal field are 48 m and 64 m. If they are 45 m apart, what is the area of the field? _________ 50. How much soil will be needed to raise a flower plot by 1 dm if the plot is 6.5 m long and 4 m wide?

2

2004 FIRST NATIONAL-Metrobank-MTAP-DepEd Math Challenge Grade 5 Solve each item on scratch paper and write the answer on the blank. [Use π = 3.14] _________ 1. What is the place value of 6 in 874,695,457? _________ 2. 735,480 = 7 x 105 + 3 x 104 + N + 480. What is N? _________ 3. Which number has 2 and 9 as factors? 6282, 7262, 6380. _________ 4. What is the remainder when 34,785 is divided by 37? _________ 5. How many prime numbers are there between 80 and 100? _________ 6. Round 478,512 to the nearest ten thousand. _________ 7. Round each number to the nearest thousand and estimate the sum of 7 501 + 8 398 + 6 521 . _________ 8. In 345,846, how many times as great is the underlined 4 than the 4 that is not underlined?

_________ 9. What is the largest digit that can be placed in the blank to make 45,__78 divisible by 6? _________ 10. Two numbers are 23 x 32 x 5 x 11 and 22 x 33 x 5 x 7 respectively written as products of their prime factors. Write their least common multiple using exponents. _________ 11. Write the smallest 9-digit number with 3 different digits repeated only once. _________ 12. What is the difference between the largest and the smallest numbers that can be formed using all the digits 4, 5, 7 and 9? _________ 13. Write 2520 as a product of prime factors using exponents. _________ 14. What is the smallest number that has 12, 25 and 30 as factors? _________ 15. What is the greatest common factor of 240 and 270? _________ 16 168 is what percent of 480? _________ 17. 387 is 45% of what number? _________ 18. What is the least common multiple of 240 and 270? _________ 19.Reduce

_________ 20.Change 8

_________ 21.Change

105 147 7 12 131 14

to lowest .

to an improper fraction.

to a mixed number.

_________ 22. Joy bought 1 ½ dozen mangoes for ₱105. At the same rate, how much will 5 dozen mangoes cost? _________ 23. A gold coin weighs 20 grams. If the coin contains gold, copper and tin in the ratio 4:3:1, how much gold is there in the coin? _________ 24. Find two numbers whose sum is 16 and the product is 48. _________ 25. A book is opened to where the sum of the numbers of the facing pages is 313. What is the bigger of the two page numbers? 1 _________ 26. Pat had 12 apples. He gave each of his friends ¾ of an apple and kept ¾ for himself. How many friends were with him? _________ 27. There are 680 Grades 4-6 students in a school. If 35% of them are in Grade 5, how many Grade 5 students are there? _________ 28. Rose bought a blouse at a discount of 18% for ₱147.60. What was the marked price of the blouse?. _________ 29. There are 240 scouts in a school. If 90 of them are cubs, what percent of the scouts in the school are cubs? _________ 30. Ann can make one uniform with 2.4 m of cloth. How many uniforms can she make from 20 m of cloth? _________ 31. Which of the following numbers can be written as the sum of two primes? a. 25

b. 35

c. 51

d. 57 16m

_________ 32. Find N if N : 84 = 5 : 6 _________ 33. What is the perimeter of the figure?

24m

12m 40m _________ 34. What is the area of the same figure? _________ 35. If 8 men can do a piece of work in 6 days, how many men can do it in 4 days at the same rate? _________ 36. A restaurant charges 4% service charge. If your order amounted to ₱450, how much did you pay? _________ 37. A closed box for a raffle is 5 dm long, 3.5 dm wide and 7 dm high. If it is to be completely covered with colored paper, how much surface is to be covered? _________ 38. An aquarium is 6 dm long, 4 dm wide and 4 dm high. How many liters of water 5 does it contain when it is 6 full? _________ 39. A base angle of an isosceles triangle is 52 o. What is the vertex angle? _________ 40. How many cubic meters of soil will be needed to raise a 4 m long and 2.5 m wide flower plot by 15 cm? _________ 41. If your step is about 70 cm and you can make 60 steps a minute, how far can you walk in 10 minutes? _________ 42. A park is 85 m long and 70 m wide. If you jog around it 6 times, how many meters will that be? _________ 43. The ratio of two numbers is 3 : 5 and their difference is 34. Find the bigger number? 7 8

_________ 44.The average of two fractions is

and one fraction is

3 2 . What is the

other? _________ 45. The scale of a map is 1cm : 15 km. If two towns are 4.5 cm apart on a map, how many kilometers apart are they? _________ 46. A school basketball team won ¾ of its games. If it won 14 more games than it lost, how many games did it play? _________ 47. The parallel sides of a trapezoidal field are 52 m and 68 m. If they are 48 m apart, what is its area? _________ 48. A certain sum of money is sufficient to pay the wages of 12 men for 15 days. For how many days will it be enough for 9 men? _________ 49. The length of a rectangular garden is 3 m more than the width. If the perimeter is 106 m, find the length of the garden. _________ 50. A room is 5.7 m wide and 6.6 m long. How many 30-cm tiles are needed to cover it ? 2

2010 Math Challenge Grade 5 Division Orals 15-seconds question 1. 2. 3. 4.

Express 3/8 as decimal [0.375] What fraction in lowest is equal to 45% [9/20] Write 5x 105 + 7 x 104 + 6 x 102 + 8 in standard notation. [570 608] Two numbers are in the ratio of 5:12. The bigger number is 108, what is the smaller?

5. If a boat traveled 560 km in 8 hrs, what is its speed in kilometers per hour? [70 km/h] 6. What number is 25 more than the product of 12 and 15? [205] 7. What is N in 15N =225? [15] 8. What is the number with a prime factorization of 23 x 32 x 5? [360] 9. How many 25 centavo pieces are equal to P37.50? [150] 10.Express the product of 50 000 x 60 in scientific notation. [3 x 106] 11.What is the prime factorization of 240? [24 x 32 x 5]

30-seconds question 1. Robert mixes 3 bags of sand with 2 bags of cement. How many bags of sand should he mix with 12 bags of cement? [18] 2. Find the difference of [8 3/5 x 3] – 18 1/2. [7 3/10] 3. Three loaves of bread cost P127.50; how much do 2 loaves cost? [P85] 4. A machine stamps 250 envelopes in 1 2/3 minutes. How many can it stamp in 1 min? [19/4 or 4 ¾] 5. The product of two numbers is 15 5/6. If one number is 3 1/3, what is the other? 6. The perimeter of an isosceles triangle is 53 cm. If the base is 17 cm, find the length of each leag. [18 cm]

60-minute 1. Nine times Eva’s age

1

GRADE 5 – MTAP DIVISION TEAM FINALS ( FEBRUARY 2011 ) QUESTIONS: EASY: 1. What is the Perimeter of a pentagon if each side is 19 cm? 2. A storekeeper puts 75 kg. of rice into 8 bags. How many kg. does each bag weigh? 3. What is n if n=3 2/5 + 5 4/8? 4. What is the reciprocal of 0.9?

5. Express 4.125 as a mixed number with the fraction part in lowest term. 6. Subtract the greatest 2 digit even no. from the greatest 3 digit odd no. 7. What is 25% of 852? 8. A blouse marked P180 was bought at a discount of 15%. How much was the discount? 9. 4 x 4 = 16. 16 is a square number. What are the square numbers between 20 and 50? 10.In a school, there are 4 boys for every 5 girl students, if there are 2,700 students, how many boys are there? AVERAGE: 1. When the area of a square is 900 cm., what is the perimeter? 2. Toy robot marked at P885 was sold at 15% discount, how much was paid for it? 3. Product of 2 whole numbers is 48, what is the greatest possible sum of the 2 whole numbers? 4. PJ got 72% after missing 7 items. How many items are there in the test? 5. Cube edge of 15 cm was filled with 2L water, how much water is needed to fill it? DIFFICULT: 1. A blouse on sale P150 is 60% of its regular price. Find the regular price. 3. Along the highway, a car travels at 90km./hr. for 3 hrs. and 80km./hr. for 2 hrs. What is the average speed of the car? 4. Mila’s father has 2 jobs. 1st job pays P375 more than the 2nd job. How much does he get from the 1st job if he gets per week a total of P3,875? 5. The area of 4 squares is the same as the area of 12 cm. x 27 cm. rectangle. What is the perimeter of each square? 1

ANSWER KEYS

Answer Key Grade 5 2002 ELIMINATION 1. 80 000 000 2. 1540 3. 3 450 065 4. 1000 5. P 3600 6. 23 7. 12 8. P 38 150 9. 311 (no formula = 53, 59, 61, 67, 71) 10. 7 11. 10

12. 210 n (n + 1) 2 13. 12 14. 18 15. 270 16. 780 17. 4/11 18. 2/3 19. 9

7 20

13

20. 8 15

3 21. 2

or 1

22

22. 15

1 7

Faces Top Bottom Front Back Left Right

7

or 1 15

72

23. 13 24. P138 25. 1.6 oC 26. 300 31

27. 200 28. 29. 30. 31. 32. 33. 34.

42. 43. 44. 45. 46.

220% 40 52% 135 42 50 14

no. of mandays per work = 42 mandays (7 x 6) no. of men = 42 mandays / 3 days =14 men

35. P 217.87 Total Order + Service Charge = Tot Amt 210.50 + (210.50 x .035) = N 210.50 + 7.37 = P 217.87 36. 9 37. 450 dm 38. 2826 m2 39. 1384 m 40. 60o x = unknown angle 90 – x = its complement angle = twice its complement x = 2 (90 – x) x = 180 –2x 3x = 180 x = 60 41. 166 dm2 7 4 7 4 5 5

Area 7 x 4 = 28 7 x 4 = 28 7 x 5 = 35 7 x 5 = 35 5 x 4 = 20 5 x 4 = 20 Total 166 dm2

140 dm3 23 cm 75.36 m 76o 95o x = unknown angle 180 –x = its supplement angle = 10 more than its supplement x = 10 + (180 – x) 2x = 190 x = 95o

47. 120o 8 hrs = _x__ 24 hrs 360o 360

o

x

1 3

= x

120o = x 48. 15 cm 49. 2520 m2 50. 2600 dm2 Answer Key Grade 5 2003 ELIMINATION 1. 70 000 2. 3. 4. 5. 6. 7.

36 64

21,600 369,000 6282 12 360

8. 13 9. 48

17 24 7

10. 7 20 11. 15

12. 13. 14. 15. 16. 17. 18.

P 15.75 71, 73, 79 5 (2, 3, 4, 6, 12) 20 cm P 7,500 63 200 hectare = 100 m x 100 m = .1 km x .1 km = .01 km2 2 2km = 200 .01 km2

19. 8 dm 20. 10 Angles ( EOD, DOC, COB, BOA, EOC,EOB, EOA, DOB, DOA, COA) 21. P 12.00 22. 486 cm3 81 x 6 = 486 23. 88m 24. 7 25. 63580 26. 990 27. 17 28. 12 29. 43 30. 5 31. 3 32. 3 33. 1,000 34. 207 35. 36. 37. 38. 39.

125 1000

or

1 8

width = 12 length=15 P70 4056 P 21 D + B = 75 D = 75 B D/2 + B = 48 75 - B + B = 48 2 75 – B + 2B = 48 2 75 + B = 96 B = 21

40. 180 – 78 = 102o 41. P 12.50

42. 56o 43. 27 cm

44. 4 cows C + H = 35 C= 35 - H 4C + 2H = 78 4(35-H) + 2H = 78 140 – 4H + 2H = 78 140 – 2H = 78 140 – 78 –2H = 0 62 – 2H = 0 62 = 2H 31 = H So substituting: C= 35 – H C = 35 – 31 C=4

45. 46. 47. 48. 49.

330m 2,900m2 150L P 150 14%

50. 91 3x : 4x : 6x so: x = 7 21 : 28 : 42 + 42 =91

4x = 28 So: 21 + 28

Answer Key Grade 5 MTAP 2004 Elimination 1. hundred thousand 2. 5 x 103 or 5000 3. 6282 4. 5 5. 3 (83, 89, 97) – no formula 6. 480,000 7. 23,000 8. 1000 9. 9 10. 23 x 33 x 5 x 7 x 11 11. 100,122,345

12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25.

5175 23 x 32 x 5 x 7 300 30 35 % 860 24 x 33 x 5 or 2160 5/7 103/12 9 5/14 P 350 10 g 4, 12 157 x = smaller page no. x + 1 = bigger page no. x + (x + 1) = 313 2x = 312 x = 156 x + 1 = 157 26. 15 27. 238 28. P 180 29. 37.5 90 / 240 x 100% = 37.5% 30. 8 31. 25 no. = odd prime + even prime no. = odd prime + 2 25 = 23 + 2 32. 70 33. 128 m 34. 672 m2 35. 12 Total man-days = 8 men x 6 days = 48 man-days Total men = Total mandays Total days = 48 man- days 4 days = 12 men 36. P 468 37. 154 dm2 5 3.5

39. 76o X

52 o 52 o x = vertex angle x + 52 + 52 = 180 x + 104 = 180 x = 76o 40. 41. 42. 43.

1.5 m3 420 m 1860 m 85 3x = 1st no. 5x = 2nd no. (bigger no.) so. 5x = 5 x 17 = 85 5x – 3x = 34 2x = 34 x = 17

44. 1/4 45. 67.5 km 46. 28 x = games lost x + 14 = games won x + 14 = ¾ (won + lost) x + 14 = ¾ ( x + 14 + x) x + 14 = ¾ (2x + 14) 4x + 56 = 6x + 42 14 = 2x x=7 Total = won + lost = 2x + 14 = 14 + 14 = 28 games 47. 48. 49. 50.

2,880 m2 20 28 m 418

7

Faces Top Bottom Front Back Left Right Total 38. 80

Area 5 x 3.5 = 17.5 5 x 3.5 = 17.5 5 x 7 = 35 5 x 7 = 35 3.5 x 7 = 24.5 3.5 x 7 = 24.5 154 dm2

Answer Key Grade 5 2005 ELIMINATION 1. 2. 3. 4.

4,260,095 millions 800,000 1,000

5. 18,000 6. 37,000,000 7. 42 8. 570,975 9. 23 x 32 x 5 x11 10. 101 11. 4 12. 18 13. 360 14.

13 15

15.

86 13

16. 14

8 9

17. 18

7 10

18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29.

m

21 m2 242.963 70 33 13 44.6 cm 11 7 108 178 m 1,110 m2 13 18

30. 120 dm 31. 13.68 m 32. 452.16 m2 33. 4

5 14

34. 5:9

m

35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50.

30% P 157.25 450 178 4.24 m2 17 1.558 ha 3.5 m 34 P 768.00 10.5 m2 126o 18 & 32 61o 76 22 cm

ANSWER KEYS ~~~~~~~~~~ ~~~~~ 2004 Division Orals A. 15-second questions 1. 640,000 2. 6 3. 6 96 13

4.

3. ₱86.25 Do-Or-Die questions 1. 9 2. 225 ~~~~~~~~~~ ~~~~~~~ 2005 Division Orals A. 15-second questions

3. Less by ₱18.75 4. ₱250 5. 100 cm 6. 25 Clincher questions 1. 2 2. ₱225 3. ₱1275 Do-Or-Die question 1. 65o

1. P7.50 2. 600 3. 45

~~~~~~~~~~ ~~~~~~~

6. 88 m. 7. 304 8. 23 9. 99 10. 144

4.

2006 Division Team Finals

11.

1 8. 1 6

7

5. 2 20

3 4

B. 30-second questions 1. 2. 3. 4. 5. 6.

71 ₱343.75 18% 9 : 11 21 cm. 75%

C. 1-minute questions 1. 2. 3. 4. 5. 6.

1944 24 25 cm2 27, 45, 63 7068 170

Clincher questions 1. 23,800 2. 8

7 8

5. 101,000 6.

5 16

7. 64 cm

9. 60 10. 11. 0

16 P1,80

B. 30-second questions 1. 2. 3. 4. 5. 6.

15 264 cm 145 cm2 10 5 cm 9

C. 1-minute questions 1.

37 8 or 4 5 8

2. 95%

A. 15-second questions 3

1. 5 13 2. 243 3. 0.005 4. 292 5. 180 6. 100 cm 7. 2.35 8. 15 9. 7 ½ 10. 40

4 95

11.

B. 30-second questions 1. 3.75 or x 105 2. P94.50 1

3. 4 5 4. 9

17 20

5. 54 kph. 6. 11 years

C. 1-minute questions 1. 1st part 2. P18.50 3. 3,090,600. 02 4. P26,250 5. 180 cups 6. 243 Clincher questions 1. 11

5 8

2. ½ 3. 540o Do-Or-Die questions 1. 24

B. 30-second questions 1. 2. 3. 4. 5. 6.

5 12

6 36 200.96 m2 3 pupils 9

C. 1-minute questions 1. 2. 3. 4. 5. 6.

₱250 ₱937.50 ₱67.20 95 m ₱163.50 28

~~~~~~~~~~~~~ ~~~~ 2007 Division Team Competition A. 15-second questions 1. 72

3 2. 11 7

3. 1.8 x 106 4. 2.45 m 5. 20 6. 12.25 7. 445 8. 18% or 18 9. 32 10. Nonagon

B. 30-second questions 1. 2. 3. 4. 5. 6.

₱240 25 75o 8.4 cm ₱24 99

C. 1-minute questions

Clincher questions

1. L = 20 cm, W = 15 cm 90

2. 150

1. 8 2. Math Test 3. 842

ANSWER KEYS 2

6. 4 500 7. 62.5 or 62 ½ 8. 17, 25 9. 27 10. 10 11. 4.8

3. 4. 5. 6.

Do-Or-Die questions 1. 21

₱70,000 60 dm ₱1680 160 km

Clincher questions

~~~~~~~~~~~~~ ~~~~ 2008 Division Orals A. 15-second questions 1. 15

1. 3 2. 32.5 cm 3. 25 Do-Or-Die questions

2.

17 20

1. 55o, 60o, 65o

3.

4 15

~~~~~~~~~~ ~~~~~~~

4

2004 Sectoral Finals

4. 11 5. 2 x 7

2

A. 15-second questions

C. 1-minute questions

5 630 83 360 10% 101 25 m 2 30 400 m 3 10. 8 1. 2. 3. 4. 5. 6. 7. 8. 9.

ANSWER KEYS 3

~~~~~~~~~ ~~~ 2005 Sectoral Finals

7

11. 33

questions

1.

10 21

2. 3. 4. 5. 6.

21 cm ₱675 ₱125 57 84

2

294 cm 8 850 55 km/hr

5. 400

Solution for C #5. 4 dm = 40 cm / 4 cm = 10 4 dm = 40 cm / 8 cm = 5 5 dm = 50 cm / 6 cm = 8 10 x 5 x 8 = 400 6. ₱10,687.50

Clincher questions 1. 13 2. 151 3. 1872 cm2

Do-Or-Die questions 1. 30,45,60,75 2. 154 cm.

1. 24, 36, 48, 60

7 ₱195 6 28 Square garden 225

10.

Clincher question

Do-Or-Die questions

46 1000

C. 1-minute questions 1. 2. 3. 4.

1. 54 2. 60 3. 46, accept

4. 5. 6. 7. 8. 9.

16.5 cm 40.5 cm 23,490 40 1872 cm2 14

1. 4 2. ₱389.30 3. 21

A. 15 -second

B. 30-second questions

1. 2. 3. 4. 5. 6.

1 6

(but

1 should be 3

)

11. 2, 3, 4, 6, 8,12, 24 B. 30-second questions

1. ₱18,500 2. 20 accept (20% always do this) 3. 84 4. 113.04 m2 1

5. 128 3

m

6. 16.25 cm or 16 ¼ cm

~~~~~~~~~~ ~~~~ 2006 Sectoral Finals A. 15-second questions

1. 900 2. 6 or 2 3. 52 1

4. 3 2 5. 6. 7. 8.

hrs.

10% 202 240 30 cm 8

9. 59 10. 11.

5 120

B. 30-second questions

1.

10 21

2. 3. 4. 5. 6.

8 P624 P150 44% 60

C. 1-minute questions 1. 2. 3. 4. 5. 6.

3. 4. 5. 6.

C. 1-minute questions

486 cm2 9 P44 96 cm 240 cm2 55 km/hr

1. 35 m 2. 7 (3, 4, 6, 7) 3. 8 (powers of 2 end in 2, 4,8,6) 4. 7.56 5. 65 = 5(8+5) 6. 36

Clincher questions 1. 1 2. 13 3. 201

Clincher questions

Do-Or-Die questions

1. 48o 2. 90, 91, 92 3. ₱280

1. 27

~~~~~~~~~~ ~~~~

16% 119 cm 105 1,541,190, 000

Do-Or-Die questions 1. 5392 m2

2005 Regional Finals

B. 30-second questions

1. 109 2. 39

B. 30-second questions 1. 45 2. 3. 4. 5. 6.

17 21

105 28,800 290 16 cm 69 8

C. 1-minute questions 1. 55 sq. m. 2. 480 3. 216 cm2 4.3 [sol 353 =( 34 )13 (3)]

A. 15-second questions

1. 42 2. 72 3. 179 4. 97.5 5. 0.7435 6. 48 m 7. 4 8. 87.5 9. 15 10. 71 11. 63

4. 76 m2 5. 64 L 6. 4 7. 567 8. 949 9. 60 m2 10. 355 11. 33

ANSWER KEYS 4

~~~~~~~~~~~~~ ~~~~~ 2007 Regional Finals

~~~~~~~~~~ ~~~~2006

A. 15-second questions

Regional Finals A. 15-second questions 1. 45 2. 4,500 6

3. 7

234.545 2 or 8 198 2 4. 126 cm 5. 7:50 6. 119 7. 20 cm by15 cm 8. 245, 254 9. P240 1. 2. 3.

10. 91 11. 1994

B. 30-second questions 47 20 70 3 5. 1517 =37 x 41 6. 182 1. 2. 3. 4.

C. 1-minute questions 1. 2. 3. 4. 5. 6.

11.7 200 km 144 cm2 4591 m2 257 495

Clincher questions 1. 2.

996 63o

3.

30 m

Do-Or-Die questions 1.

8

GRADE 5 – MTAP DIVISION TEAM FINALS ( FEBRUARY 10, 2011 ) ANSWERS: EASY: 1. 95 cm.

6. 901

2. 9.375 kg. or 75/8 kg.

7. 213

3. 8 9/10

8. P27

4. 10/9

9. 25, 36, 49

5. 4 1/8

10. 1,200 boys

11. 12. AVERAGE: 1. 120 cm. 2. P752.25 3. 49 4. 25 5. 1.375 l. 13. 14. DIFFICULT: 1. P250 3. 86 km./hr. 4. P2,125 5. 36 cm. 15.