TEST NAME: Geometry Part 2-Pythagorean Theorem and Composite FiguresTEST ID: 25713GRADE: 08

SUBJECT: MathematicsTEST CATEGORY: My Classroom

  Geometry Part 2-Pythagorean Theorem and Composite Figures Page 1 of 13

Student:

Class:

Date:

1. What is the circumference of a circle with radius 5x?

A.

B.

C.

D.

 

2. A triangle has sides that measure 5 units, 7 units, and 8 units. Is this triangle a right triangle?

A.  

B.  

C.  

D.  

 

3. Tim and Sasha are making a model sailboat. They want the sail to be in the shape of a right triangle. If the legs ofthe sail measure 8 and 15 inches, what would be the length of the hypotenuse?

A. 13 in.

B. 15 in.

C. 17 in.

D. 23 in.

 

4. The figure below shows a square inside a rectangle.

If the area of the shaded part of the rectangle is 38, what is the length of a side of the square?

A. 2 units

B. 3 units

C. 4 units

D. 5 units

 

5. Alena designed an obstacle course. On the course, there is a ladder leaning against the top of a 24 ft wall. If theladder is 7 ft from the base of the wall, then what is the length of the ladder?

A. 15.5 ft

B. 17 ft

C. 25 ft

D. 31 ft

 

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6. The length of one side of a square pond is 15 feet. The pond is surrounded by a 3 foot wide walkway. What is thetotal area of the pond and the walkway, in square feet?

A. 84

B. 234

C. 324

D. 441

 

7. The lengths of the legs of a right triangle are consecutive even integers. The hypotenuse is 58 inches. What is thesum of the lengths of the legs in inches?

A. 82

B. 98

C. 100

D. 140

 

8. A figure with two right triangles is shown below.

What is the distance between A and B?

A. 21 feet

B. 33 feet

C. 40 feet

D. 57 feet

 

9. An isosceles triangle is shown.

What is the area of this isosceles triangle in square centimeters?

A. 64

B. 120

C. 240

D. 255

 

10. Which of these could be the lengths of sides of right triangle ABC?

A. (5, 6, 11)

B. (5, 7, 12)

C. (5, 12, 13)

D. (6, 7, 13)

 

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11. A walking track with a semicircle at each end is shown below.

What is the approximate length of the track in miles?

A. 2.2 miles

B. 2.3 miles

C. 3.0 miles

D. 3.6 miles

 

12. What is the length, in feet, of in the isosceles trapezoid ABCD?

A. 3 feet

B.

C.

D. 21 feet

 

13. What is the area, in square meters, of the figure below?

A. 11

B. 13

C. 15

D. 17

 

14. Which is true regarding the Pythagorean Theorem?

A. The sum of the squares of the legs equals the square of the hypotenuse.

B. The sum of the squares of the hypotenuses equals the square of the leg.

C. The sum of the legs equals the hypotenuse.

D. The sum of the hypotenuses equals the leg.

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15. What would be the best unit for measuring the volume of a toy box?

A. feet

B. cubic feet

C. square feet

D. square inches

 

16. Which measurement would Sally need to know when laying tile on the floor of her house?

A. area of the room

B. weight of each tile

C. volume of each tile

D. perimeter of the room

 

17. What is the area of this right triangle?

A.

B.

C.

D.

 

18. Mr. Swanson used exactly 36 feet of fencing to build a fence around his rectangular garden. Which of the followingare the possible dimensions of the garden?

A. 10 feet by 7 feet

B. 13 feet by 5 feet

C. 18 feet by 2 feet

D. 20 feet by 16 feet

 

19. Which situation uses a volume measurement?

A. finding the amount of water inside a bath tub

B. finding the distance across a rectangular field

C. finding the size of a picture that will fit in a square picture frame

D. finding the number of steps taken to walk around a building one time

 

20. Jill wants to put some fringe around a rectangular pillow. If the pillow measures 2 feet by 3 feet, how much fringewill Jill need to buy?

A. 5 feet

B. 6 feet

C. 8 feet

D. 10 feet

 

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21. What is the approximate area, in square feet, of the shaded region in this figure?

A. 10.3

B. 20.4

C. 24.3

D. 32.2

 

22. The formula for the area of a circle is If the radius, r, is doubled, what is the effect on A, the area?

A. The area decreases by a factor of one fourth.

B. The area decreases by a factor of one half.

C. The area increases by a factor of 2.

D. The area increases by a factor of 4.

 

23. The perimeter shown below is 81 inches.

What is the length of

A. 9 inches

B. 18 inches

C. 27 inches

D. 36 inches

 

24. Hunter has a choice between 2 pizzas: a circular pizza with a 10-inch diameter, and a square pizza with a 9-inchside. Which statement below is true?

A. The pizzas have the same area.

B. The area of the square pizza is larger.

C. The area of the circular pizza is larger.

D. The area of the circular pizza is 100 square inches.

 

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25. Ian’s garden is in the shape of an isosceles trapezoid with a height of meters and bases of 8 and 9 meters.

What is the area of Ian’s garden?

A. 20 square meters

B. square meters

C. square meters

D. square meters

 

26. A rectangle has width 12 inches and length 16 inches. The width of the rectangle is decreased by 25% and itslength is increased by 25%. What is true about the new rectangle?

A. The area decreases.

B. The area is unchanged.

C. The perimeter decreases.

D. The perimeter is unchanged.

 

27. The length of a rectangle is three times its width. The perimeter is 72 feet. What is the width of the rectangle infeet?

A. 9

B. 12

C. 18

D. 24

 

28. Jill cut out two squares from a poster board to use as backgrounds for her art project. The larger of the twosquares has an area 16 times the area of the smaller square. Which phrase describes the perimeter of the largersquare compared to the perimeter of the smaller square?

A. 4 times as large

B. 8 times as large

C. 16 times as large

D. 32 times as large

 

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29. What is the approximate area, in square inches, of the shaded region of this figure? (Use

A. 15.5

B. 34.3

C. 43.7

D. 53.2

 

30. Marco wants to buy wallpaper to cover the walls in his living room. Which best describes the measurement that heneeds?

A. mass

B. volume

C. perimeter

D. surface area

 

31. is similar to

What is the perimeter of triangle

A. 31.5 inches

B. 33.0 inches

C. 37.5 inches

D. 42.0 inches

 

32. A line segment PQ has endpoint P at (12,−4) and Q at (−16,8). As a result of dilation about the origin, theendpoint of P' has coordinates (18,−6). What are the coordinates of Q'?

A. ( − 24 , 12 )

B. ( − 22 , 10 )

C. ( − 11 , 5 )

D. ( − 10 , 6 )

 

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33. Carlos wants to build a ramp like the one shown in the diagram below.

• What are the measures of Angles 1, 2, 3, and 4 in the diagram? Show all work needed to justify your answer.

 

34. The diameter setting on a machine that produces softballs and baseballs must be adjusted when the type of ball itis producing is changed. Softballs must be 12 inches in circumference, and baseballs must be 9 inches incircumference. Which sentence best describes the change in the diameter setting that must be made when themachine is switched from producing softballs to producing baseballs?

A. The diameter setting must be   inch smaller.

B. The diameter setting must be 3 inches smaller.

C. The diameter setting must be 25% smaller.

D. The diameter setting must be 48% smaller.

 

35. Jason had been working 20 hours per week at a book store for $8.00 per hour. His pay was increased to $8.50 perhour, and his hours were increased to 24 per week. By what percent did his total weekly pay increase as a result ofthese changes?

A. 6.25%

B. 20.00%

C. 27.50%

D. 44.00%

 

36. Which list shows the given numbers in order from least to greatest?

A.

B.

C.

D.

 

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37. Which set shows the fractions and ordered from greatest to least?

A.

B.

C.  

D.

 

38. Which set of numbers is ordered from least to greatest?

A.

B.

C.

D.

 

39. Which of the following shows the set of numbers in order from least to greatest?

A.

B.

C.

D.

 

40. If y = –5 and z = –3, what is the value of

A.

B.

C.

D.

 

41. What is the value of the expression when

A.

B.

C.

D.

 

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42. Arely earned $800.00 this past summer. The graph below shows how she used her money.

How much more money did Arely save than spend on school supplies?

A. $17

B. $64

C. $136

D. $504

 

43. The graph of which of the following equations contains the point (–3, 0)?

A.

B.

C.

D.

 

44. Which equation can be represented by the line that contains the points and

A.

B.

C.

D.

 

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45. Which equation is represented by this graph?

A.

B.

C.

D.

 

46. Which of the following points lies on the line that contains the points (8, 4) and (4, 6)?

A. (6, 8)

B. (4, – 2)

C. (12, 10)

D. (12, 2)

 

47. Which of the following inequalities is equivalent to

A.

B.

C.

D.

 

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48. In the diagram,   and  .

What is the closest to the value of x ?

A. 5.3B. 5.5C. 11.5D. 12.5

 

49. What is the measure of the smallest angle in the right triangle below?

A. 30°

B. 34°

C. 36°

D. 40°

 

50. In is three times as large as is twice as large as What is

A. 90°

B. 72°

C. 60°

D. 30°

 

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