Study Island Copyright © 2014 Edmentum - All rights reserved.
Generation Date: 02/23/2014 Generated By: Abdullah Khan
1.
Picture is not drawn to scale.
The dimensions of rectangle A are three times the dimensions of rectangle B. The area of rectangle A is 288 cm2. What is the area of rectangle B? A. 16 cm2 B. 64 cm2 C. 32 cm2 D. 96 cm2
2.
Above are two different models of the same triangular-shaped garden. If the height of the model on the left is 18 cm, what is the height of the model on the right? A. 36 cm B. 23 cm C. 20 cm D. 25.5 cm
3. The dimensions of an office conference room are 8 feet by 16 feet. If the conference room blueprint dimensions are 4 centimeters by 8 centimeters, what is the scale of the blueprint? A. 1 centimeter = 2 feet B. 1 centimeter = 6 feet C. 1 centimeter = 4 feet D. 1 centimeter = 8 feet
4. Trisha drew a blueprint of her bedroom, shown below. Denoted by a 1 on the blueprint, her bed's blueprint dimensions are
inches by
inches.
If the scale of the blueprint is 1 inch = 2 feet, what are the actual dimensions of Trisha's bed? A. B. C. D.
5.
Picture is not drawn to scale.
The dimensions of square A are three times the dimensions of square B. The area of square A is 1,764 cm2. What is the area of square B? A. 392 cm2 B. 49 cm2 C. 196 cm2 D. 588 cm2
6. Figure STUV and figure WXYZ, shown below, are similar figures.
The scale factor of figure STUV to figure WXYZ is 3:1. If ST = 78 mm and SV = 102 mm, what is the length of side WZ? A. 306 mm B. 234 mm C. 34 mm D. 26 mm
7. Pierce works at a tutoring center on the weekends. At the center, they have a large calculator to use for demonstration purposes that is a scale model of calculators available for the students to use.
Each key on the student calculators is 16 millimeters wide, and each key on the demonstration calculator is 4.8 centimeters wide. If the student calculators are 255 millimeters tall, how tall is the demonstration calculator? A. 0.765 meter B. 0.048 meter C. 12.24 meters D. 76.5 meters
8. Preston drew a blueprint of an additional room he is planning to add to his house. On the blueprint, 1 centimeter is equal to 3 feet in the actual room. If Preston wants the room to measure 9 feet by 12 feet, what are these dimensions on the blueprint? A. 3 cm by 8 cm B. 4 cm by 6 cm C. 6 cm by 8 cm D. 3 cm by 4 cm
9.
Picture is not drawn to scale.
The dimensions of triangle A are three times the dimensions of triangle B. The area of triangle B is 15 cm2. What is the area of triangle A? A. 135 cm2 B. 90 cm2 C. 45 cm2 D. 5 cm2
10. The following blueprint of a kitchen has dimensions of 8 inches by 8 inches. The island has been highlighted in red.
The island's actual dimensions are feet by are the dimensions of the island on the blueprint?
feet. If the scale of the blueprint is 1 inch =
feet, what
A. B. C. D.
11. Delisa is deg a website that will be viewable on both computers and mobile devices, so the website as it is seen on a mobile device is proportional to the website as it is seen on a computer. The diagonal of Delisa's computer monitor is 21 inches, and the diagonal of Delisa's tablet is 9.8 inches. If an image is 18 centimeters wide on the website when it's displayed on Delisa's computer, how wide should the image be on the tablet? Round to the nearest tenth of a millimeter, if necessary. A. 385.7 millimeters B. 1,554 millimeters C. 84 millimeters D. 1.2 millimeters
12.
Picture is not drawn to scale.
The dimensions of circle B are twice the dimensions of circle A. The area of circle B is 64 What is the area of circle A? A. B.
32 8
cm2 cm2
cm2.
C. D.
16
cm2
64
cm2
13.
Picture is not drawn to scale.
The dimensions of triangle B are twice the dimensions of triangle A. The area of triangle A is 15 cm2. What is the area of triangle B? A. 30 cm2 B. 45 cm2 C. 60 cm2 D. 42 cm2
14.
Picture is not drawn to scale.
The dimensions of rectangle A are four times the dimensions of rectangle B. The area of rectangle A is 512 cm2. What is the area of rectangle B? A. 32 cm2 B. 16 cm2 C. 128 cm2 D. 64 cm2
15.
Above are two different models of the same hexagon. If the side length of the model on the left is is the corresponding side length of the model on the right? A.
in, what
B. C. D.
16.
Picture is not drawn to scale.
The dimensions of triangle A are twice the dimensions of triangle B. The area of triangle A is 162 cm2. What is the area of triangle B? A. 162 cm2 B. 81 cm2 C. 729 cm2 D. 40.5 cm2
17.
Above are two different models of the same diamond-shaped platform. If the length of side a is 4 cm, what is the length of side b? A. 5.25 cm B. 10 cm C. 5 cm D. 6 cm
18.
Above are two different models of the same triangle. If the area of the model on the right is 7 sq in, what is the area of the model on the left? A. 35 sq in B. 3.5 sq in
C. 14 sq in D. 28 sq in
19.
Above are two different models of the same triangle. If the area of the model on the left is 20 sq cm, what is the area of the model on the right? A. 40 sq cm B. 100 sq cm C. 80 sq cm D. 22.5 sq cm
20. Figure KLMN and figure PQRS, shown below, are similar figures.
If KN = 3 cm, MN = 7 cm, RS = 14 cm, and PS = 6 cm, what is the scale factor of figure PQRS to figure KLMN? A. B. C. D.
21. Pierce works at a tutoring center on the weekends. At the center, they have a large calculator to use for demonstration purposes that is a scale model of calculators available for the students to use. Each key on the student calculators is 15 millimeters wide, and each key on the demonstration calculator is 4.5 centimeters wide. If the student calculators are 248 millimeters tall, how tall is the demonstration calculator? A. 0.744 meter B. 0.045 meter C. 74.4 meters D. 11.16 meters
22.
Picture is not drawn to scale.
The dimensions of triangle B are three times the dimensions of triangle A. The area of triangle A is 24.5 cm2. What is the area of triangle B? A. 49 cm2 B. 73.5 cm2 C. 110.25 cm2 D. 220.5 cm2
23. Clarise drew the scale drawing below of a circular fish pond she plans to put in her backyard.
If 1 centimeter on the scale drawing represents 2 feet, what will be the diameter of Clarise's fish pond? A. 8 feet B. 16 feet C. 100.48 feet D. 50.24 feet
24. The image on a movie poster was shrunk to make the DVD cover art for the movie, so that the cover art is a scale image of the poster. The poster is 30 inches wide, and the DVD cover art is 5 inches wide. If the diagonal of the poster is 4.5 feet, what is the diagonal of the DVD cover art? A. 8 inches B. 0.75 inch C. 7.5 inches D. 9 inches
25.
Above are two different models of a microchip. If the model of the microchip on the left measures 4 cm tall, how tall is the model of the microchip on the right? A. 6 cm B. 4 cm C. 12 cm D. 8 cm
26. The image on a movie poster was shrunk to make the DVD cover art for the movie, so that the cover art is a scale image of the poster. The poster is 48 inches wide, and the DVD cover art is 4 inches wide. If the diagonal of the poster is 9 feet, what is the diagonal of the DVD cover art? A. 0.75 inch B. 9 inches C. 12 inches D. 8 inches
27. Pierce works at a tutoring center on the weekends. At the center, they have a large calculator to use for demonstration purposes that is a scale model of calculators available for the students to use. Each key on the student calculators is 18 millimeters wide, and each key on the demonstration calculator is 5.4 centimeters wide. If the student calculators are 247 millimeters tall, how tall is the demonstration calculator? A. 13.338 meters B. 0.054 meter C. 74.1 meters D. 0.741 meter
28.
Above are two different models of the same television. If the screen in the model on the left has a 12-inch diagonal, what is the diagonal of the screen in the model on the right? A. 72 in B. 24 in C. 48 in D. 36 in
29. The image on a movie poster was shrunk to make the DVD cover art for the movie, so that the cover art is a scale image of the poster. The poster is 45 inches wide, and the DVD cover art is 5 inches wide. If the diagonal of the poster is 6.75 feet, what is the diagonal of the DVD cover art? A. 8 inches B. 9 inches C. 11.25 inches D. 0.75 inch
30.
Above are two different models of the same triangular handkerchief. If the area of the model on the right is 72 sq cm, what is the area of the model on the left? A. 8 sq cm B. 36 sq cm C. 24 sq cm D. 18 sq cm
31.
Above are two different models of the same rectangular patio. If the area of the model on the left is 6 sq cm, what is the area of the model on the right? A. 60 sq cm B. 31 sq cm C. 30 sq cm D. 150 sq cm
32. Delisa is deg a website that will be viewable on both computers and mobile devices, so the website as it is seen on a mobile device is proportional to the website as it is seen on a computer. The diagonal of Delisa's computer monitor is 21 inches, and the diagonal of Delisa's tablet is 9.4 inches. If an image is 16 centimeters wide on the website when it's displayed on Delisa's computer, how wide should the image be on the tablet? Round to the nearest tenth of a millimeter, if necessary. A. 1.4 millimeters B. 1,294 millimeters C. 357.4 millimeters D. 71.6 millimeters
33.
Above are two different models of the same rectangle. If the width of the model on the left is 11 in, what is the width of the model on the right? A. 4 in B. 3.67 in C. 12.25 in D. 19.25 in
34.
Picture is not drawn to scale.
The dimensions of rectangle B are twice the dimensions of rectangle A. The area of rectangle A is 50 cm2. What is the area of rectangle B? A. 150 cm2 B. 25 cm2 C. 200 cm2 D. 100 cm2
35. Delisa is deg a website that will be viewable on both computers and mobile devices, so the website as it is seen on a mobile device is proportional to the website as it is seen on a computer. The diagonal of Delisa's computer monitor is 21 inches, and the diagonal of Delisa's tablet is 9.7 inches.
If an image is 22 centimeters wide on the website when it's displayed on Delisa's computer, how wide should the image be on the tablet? Round to the nearest tenth of a millimeter, if necessary. A. 101.6 millimeters B. 476.3 millimeters C. 1 millimeter D. 1,924 millimeters
36.
Above are two different models of the same pentagon. If the length of side b is 34 cm, what is the length of side a? A. 8.5 cm B. 42.5 cm C. 17 cm D. 30.25 cm