TAKS Questions by Objective Grades 9-11

TAKS Grade 910: Objective #8 – Released Tests

1. Kate has 2 similar triangular pieces of paper, as shown below.

Using the dimensions given, find the approximate length of the side labeled p. (8.9B)

A. 2.4 centimeters C. 16.5 centimeters B. 7.3 centimeters D. 19.6 centimeters

2. Describe the effect on the area of a circle with the radius is doubled. (8.10A)

A. The area is reduced by ½. C. The area is doubled. B. The area remains constant. D. The area is increased four times.

3. The net of a cube is shown below.

Use the ruler on the Mathematics Chart to measure the dimensions of the cube to the nearest tenth of a centimeter. Which best represents the volume of this cube to the nearest cubic centimeter? (8.8B)

A. 11 cm2 B. 13 cm2 C. 30 cm2 D. 42 cm2

4. The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cylinder to the nearest 1/8 inch.

Which is closest to the total surface area of this cylinder? (8.8A)

A. 4 in.2 B. 11 in.2 C. 14 in.2 D. 25 in.2

5. A 72-inch piece of wire was cut into equal segments, which were then soldered at the ends to form the edges of a cube.

What is the volume of the cube? (8.8C)

A. 216 in.3 B. 576 in.3 C. 729 in.3 D. 1728 in.3

6. In a town, there is a small garden shaped like a triangle, as shown below. The side of the garden that faces Sixth Street is 80 feet in length. The side of the garden that faces Third Avenue is 30 feet in length.

What is the approximate length of the side of the garden that faces Elm Street? (8.9A)

A. 35 ft B. 40 ft C. 85 ft D. 110 ft

7. The drawing shows part of the plan for a new underground lawn-sprinkler system.

Which is closest to the length of the section of plastic pipe from point A to point C? (8.9A)

A. 4.7 ft B. 5.7 ft C. 6.7 ft D. 7.7 ft

8. The edges of a large cube are 4 times longer than the edges of a small cube. How many times greater is the volume of the large cube? (8.10B)

A. 4 times B. 12 times C. 16 times D. 64 times

9. A certain parallelogram has the dimensions shown.

Which set of dimensions would produce a similar figure? (8.9B)

A. 17.6 cm, 88 cm B. 70.4 cm, 176 cm C. 105.6 cm, 132 cm D. 140.8 cm, 220 cm

10. Ginny made a cylindrical clay vase for her art project. If the vase has a volume of 339 cubic inches and a diameter of 6 inches, which is closest to the height of the vase? (8.8C)

A. 36 in. B. 18 in. C. 12 in. D. 3 in.

11. The net of a cube is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cube to the nearest quarter inch.

Which represents the volume of this cube to the nearest cubic inch? (8.8B)

A. 2 in.3 B. 9 in.3 C. 12 in.3 D. 18 in.3

12. The scale of two similar quadrilaterals is 1:2. The perimeter of the smaller quadrilateral is 80 centimeters. What is the perimeter of the larger quadrilateral? (8.10A)

A. 40 cm B. 80 cm C. 160 cm D. 320 cm

13. The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cylinder to the nearest tenth of a centimeter.

Find the total surface area of this cylinder to the nearest square centimeter. (8.8A)

A. 6 cm2 B. 14 cm2 C. 19 cm2 D. 33 cm2

14. If TSR is similar to TNM, what is the length of x? (8.9B)

A. 240 units B. 140 units C. 120 units D. 70 units

15. A cylindrical water tank has a radius of 2.8 feet and a height of 5.6 feet. The water tank is filled to the top. If water can be pumped out at a rate of 36 cubic feet per minute, about how long will it take to empty the water tank? (8.8C)

A. 3 h B. 2 h C. 4 min D. 1 min

16. A square park has a diagonal walkway from 1 corner to another. If the walkway is about 38 yards long, what is the approximate length of each side of the park? (8.9A)

A. 6 yd B. 19 yd C. 27 yd D. 54 yd

17. Tony and Edwin each built a rectangular garden. Tony’s garden is twice as long and twice as wide as Edwin’s garden. If the area of Edwin’s garden is 600 square feet, what is the area of Tony’s garden? (8.10A)

A. 1200 ft2 B. 2400 ft2 C. 3600 ft2 D. 4800 ft2

18. The net of a cube is shown below.

Use the ruler on the Mathematics Chart to measure the dimensions of the cube to the nearest ¼ inch. Find the surface area of the cube to the nearest square inch. (8.8A)

A. 2 in.2 B. 9 in.2 C. 14 in.2 D. 18 in.2

19. The scale factor of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon? (8.10A)

A. 100 cm B. 75 cm C. 50 cm D. 150 cm

20. The owners of Neatly Packaged Company make a cylindrical container that has the dimensions shown below.

What is the approximate lateral surface area available for the package label? (8.8C)

A. 131.95 in.2 B. 151.19 in.2 C. 263.89 in.2 D. 115.45 in.2

21. Mrs. Cheung hired a landscaping service to plant a row of bushes around her triangular backyard.

If the bushes must be planted 3 feet apart, approximately how many bushes are needed for Mrs. Cheung’s backyard? (8.9A)

A. 23 B. 25 C. 28 D. 32

22. If the dimensions of a rectangle with a perimeter of 24 inches are tripled, what will be the perimeter in inches of the new rectangle? (8.10A)

Record your answer and fill in the bubbles. Be sure to use correct place value.

23. A triangular prism is shown below.

What is the volume of this triangular prism? (8.8B)

A. 192 in.3 B. 240 in.3 C. 384 in.3 D. 480 in.3

24. Steven has a cylindrical fish tank with a diameter of 8 inches and a height of 14 inches. He placed some rocks that took up 50 cubic inches at the bottom of the tank. Then he filled the tank with springwater to 2 inches from the top. Which is the best strategy for determining the volume of water the fish has for swimming? (8.8B)

A. (8)2(14) – 50 C. (4)2(14 – 2) – 50 B. (8)2(14 – 2) – 50 D. (14 – 2)2(4) – 50

25. The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cylinder to the nearest tenth of a centimeter.

Which of the following best represents the total surface area of this cylinder? (8.8A) A. 142 cm2 B. 93 cm2 C. 23 cm2 D. 14 cm2

Page 11 26. To estimate the height of her school’s gym, Nicole sights the top of the gym wall in a mirror that she has placed on the ground. The mirror is 3.6 meters from the base of the gym wall.

Nicole is standing 0.5 meter from the mirror, and her height is about 1.8 meters. What is the height of the gym wall? (8.9B)

A. 1 m B. 5.9 m C. 7.2 m D. 12.96 m

TAKS Grade 911: Objective #8 – Released Tests Answer Key

1. B 2. D 3. A 4. C 5. A 6. C 7. B 8. C 9. D 10. C 11. A 12. C 13. D 14. B 15. C 16. C 17. B 18. B 19. A 20. A 21. A 22. 72 23. A 24. C 25. B 26. D