Math 7 – Second Semester Final – Practice Test - Mr. V's Math ...

7th Grade Semester Final (Practice Test)

Math 7 ? Second Semester Final ? Practice Test

Name__________________________________________ Period______ Date____________

Part 1 ? Learning Target 5: I can solve and explain formulas involving volume of geometric solids.

1. Which label would be appropriate for a volume measurement?

A. ft? B. m?

C. in2 D. cm

5. The area of the base of a trapezoidal pyramid is 30 ft?. The pyramid is 13.6 feet tall. What is the volume of the pyramid?

A. 68 ft3 B. 136 ft3

C. 304 ft3 D. 480 ft3

2. What is the volume of the sphere shown

below? Use 3.14 for .

A. 418.66 cm? B. 4,186.66 cm? C. 12,560 cm? D. 34,464.63 cm?

10 cm m

6. The perimeter of the base of a square

pyramid is 10 yd. The height of the pyramid is 18 yd. What is the volume of the pyramid?

A. 40 yd3 B. 60 yd3

C. 120 yd3 D. 150 yd3

3. Cindy has a cylindrical water bottle. The water bottle is 8 inches tall and has a 2 inch radius. Approximately how much water can the water bottle hold? Use 3.14 for .

A. 16 in? B. 50 in?

C. 100 in? D. 85 in?

4. What is the volume of the cone shown below? Use 3.14 for .

A. 32 m? B. 54 m? C. 75 m? D. 133 m?

6.8 m 8 m

4 m

7. A rectangular prism measures 7 cm by 6.5 cm by 13.2 cm. What is the volume of the prism?

A. 65.2 cm? B. 384.5 cm?

C. 600.6 cm? D. 818.8 cm?

8. A cylindrical water barrel is 4 feet tall. It has a 1.5-foot radius. What is the volume of the barrel? Use 3.14 for .

A. 28.26 ft3 B. 31.4 ft3

C. 49.3 ft3 D. 78.5 ft3

9. The base of a square pyramid has sides that are 6 centimeters long. The volume of the pyramid is 144 cubic centimeters. What is the height of the pyramid?

A. 10 cm B. 11 cm

C. 12 cm D. 15 cm

10. Volume can be measured in "______ meters"?

A. square B. cubic

C. regular D. triangular

11. A cylinder has been removed from a cube.

What is the remaining volume of the solid?

Use 3.14 for .

2 cm

A. 21.86 cm? B. 87.92 cm? C. 343 cm? D. 255.08 cm?

7 cm

7 cm 7 cm

12. A rectangular prism is 6 cm long, 4 cm wide and 9 cm tall. What is the volume of the prism?

A. 24 cm3 B. 54 cm3 C. 216 cm3 D. 320 cm3

13. Most of the volume formulas contain "h". What does the "h" stand for?

A. Base length B. Height C. Area of the Base D. Perimeter of the Base

14. What is the volume of the composite solid?

5 cm

A. 256 cm3 B. 320 cm3 C. 482 cm3 D. 510 cm3 4 cm

9 cm 10 cm

7th Grade Semester Final (Practice Test)

15. If the volume of the cylinder below is 100.48 cm?, what is the height? Use 3.14 for .

4 cm

A. 0.5 cm

B. 1 cm

C. 1.5 cm

h

D. 2 cm

16. When solving a problem like #11, which is the general strategy?

A. Find the volume of each solid and add them together. B. Find the volume of the rectangular prism and then subtract off the volume of the cylinder. C. Find the volume of each solid and multiply them. D. Find the surface area of each solid and subtract them.

17. What is the volume of this solid?

A. 72 yd? B. 48 yd? C. 288 yd? D. 144 yd?

6 yd

4 yd 12 yd

18. A cylinder has a volume of 90 cubic centimeters. What is the volume of a cone with a congruent base and height to the cylinder?

A. 180 cm3 B. 270 cm3

C. 45 cm3 D. 30 cm3

19. What is the volume of this solid?

A. 287.66 cm? B. 352.4 cm? C. 125.37 cm? D. 408.23 cm?

The area of the base is 75.7 cm2. 3.8 cm

7th Grade Semester Final (Practice Test)

20. Jim has a cylindrical above ground pool in his back yard. The radius of the pool is 8 feet. The pool is 3.5 feet tall. When the pool if half full, how much water does it hold? Use 3.14 for .

A. 87.92 ft3 B. 351.68 ft3

C. 43.96 ft3 D. 703.36 ft3

Part 2 ? Learning Target 6: I can solve problems applying scale factor to geometric figures or scale drawings.

21. What is the value of x in the proportion

! =!?

!" !

A. 8.3 B. 10.7

C. 16.8 D. 18.5

22. MAT is similar to RUG. Which side of RUG corresponds to AM in MAT?

A. RU B. UG C. UR D. RG

A

U

M

T

R

G

25. What is the value for y in the similar figures?

A. 6.5 B. 7 C. 7.5 D. 8

24 32

y 10

26. Mia ran 12 laps in 10 minutes. How many laps did Mia run in 1 minute?

A. 1.3 laps per min C. 1.4 laps per min B. 1.2 laps per min D. 0.83 laps per min

23. Inessa ran 5 laps in 12 minutes. How long would it take her to run 15 laps at this pace?

A. 36 minutes B. 26 ! minutes

!

C. 24 minutes D. 33 ! minutes

!

27. What is the scale factor for the similar figures?

A. 2 : 3

B. 1 : 2

18

C. 3 : 4

24

D. 4 : 5

24. Trevor bought 8 packages of cake mix for $22.00. How much would 13 packages of cake mix cost?

A. $30.00 B. $35.75

C. $36.25 D. $37.50

28. A map scale is 1 inch : 6 kilometers. If two cities are 48 kilometers apart in real life, how far apart are they on the map?

A. 10 inches B. 12 inches

C. 8 inches D. 1 inch

29. Two similar triangles have a scale factor of 2 : 3. The smaller triangle has a perimeter of 18 inches. What is the perimeter of the larger triangle?

A. 18 inches B. 21 inches

C. 27 inches D. 36 inches

Use the figure below for questions 30-32.

42 cm

18 cm

30. What is the scale factor?

A. 4 : 3 B. 7 : 3

C. 7 : 4 D. 3 : 4

31. What is the ratio of the perimeters?

A. 4 : 3 B. 7 : 3

C. 7 : 4 D. 3 : 4

32. What is the ratio of the areas?

A. 16 : 9 B. 25 : 16

C. 25 : 9 D. 49 : 9

33. A wildlife ranger caught and tagged 108 rabbits in a forest and then released them back into the wild. Later, he caught 405 rabbits, and of those, 45 had tags. Approximately how many rabbits are in the forest?

A. 972 B. 169

C. 12 D. 1000

7th Grade Semester Final (Practice Test)

34. A map has a scale of 1 inch : 8 miles. If two cities are 8 inches apart on the map, how far apart are they in real life?

A. 8 miles B. 16 miles

C. 48 miles D. 64 miles

35. Victor wanted to know the height of a tree at his friend's house. On Saturday morning, he measured the shadow of the tree along the ground to be 21 feet long. At the same time, he measured his own shadow to be 3 feet long. Victor is 6 feet tall. Find the height of the tree.

A. 10.5 feet B. 42 feet

C. 86 feet D. 39 feet

36. What is the value for x in the similar figures?

A. 15 B. 21 C. 22 D. 23

x 24

5 8

37. A blue print of a house has a scale of 1 inch : 3 feet. Find the actual length of a wall that is 9 inches on the blue print?

A. 9 feet B. 18 feet

C. 27 feet D. 36 feet

38. Two squares are similar. The smaller one has a side length of 3 and the larger has a side length of 4. What is the ratio of their areas?

A. 3 : 4 B. 6 : 8

C. 4 : 3 D. 9 : 16

39. Two similar triangles have a scale factor of 2 : 3. The smaller triangle has a perimeter of 16 inches. What is the perimeter of the larger triangle?

A. 17 inches B. 24 inches

C. 21 inches D. 27 inches

7th Grade Semester Final (Practice Test)

40. A model car has a scale of ! . The length

!"

of the frame on the model is 8 inches. How long is the frame (in feet) on the real car?

A. 144 B. 2.25

C. 12 D. 15

Part 3 ? Learning Target 7: I can understand and use proportions to solve percent problems.

41. What is 45% as a decimal?

45. What is 70% of 140?

A. 0.4 B. 0.45

C. 0.85 D. 0.9

A. 75 B. 104

C. 98 D. 89

42. Corey hit 5 homeruns at batting practice out of 20 pitches thrown. What is the ratio of homeruns Corey hit to the total pitches thrown?

A. !

!

B. !

!

C. !

!

D. !

!

43. Which number is the smallest?

A. !

!

B. !

!

C. 0.44 D. 42%

44. The Central Park fish pond has several different varieties of fish. If 34% of the fish are Koi and the pond has 550 total fish, how many fish are Koi?

A. 156 B. 187

C. 195 D. 203

46. Lydia wants to buy a new computer that has an original price $800. It is on sale for 15% off. How much would her discount be?

A. $15 B. $60

C. $120 D. $680

47. A car salesman earns a 5% commission on his car sales. If the salesman sells a car for $24,000, how much does he make?

A. $800 B. $1,000

C. $1,200 D. $1,400

48. Andrew decides to treat his friends to dinner. The bill for their meals is $54.60. Andrew wants to leave a 20% tip. How much money should he leave as a tip for the waiter?

A. $10.92 B. $11.08

C. $12.37 D. $13.75

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