GED Mathematics Review Test (21)
50 Question | 115 minutes
1. A tailor has 10 yd of shirt fabric.
3
How many shirts can he make if each shirt requires 24 of fabric?
(A) 3
(B) 4
(C) 5
(D) 6
2. A cone for a motorcycle obstacle course has a slant height of 10 in and a radius of 6 in.
Determine the volume of the right cone in terms of .
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
(A) 96 in3
(B) 120 in3
(C) 128 in3
(D) 200 in3
3. Determine the approximate surface area of the cylinder. Round the answer to the nearest whole square yard.
Use = 3.14
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
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(A) 54 yd2
(B) 226 yd2
(C) 254 yd2
(D) 565 yd2
4. If 4x – 3y = 10 and x + 3y = 5, what is the value of y?
(A) 1
(B) 2
(C) 6
(D) 10
5. A bagel with cream cheese costs $2.35. Samaan wants to buy as many bagels as he can with $10.
Which of the following inequalities represents Samaan’s bagel purchase?
(A) 2.35b 10
(B) 2.35b 10
(C) 2.35 + b 10
(D) 2.35 + b 10
6. What is the distance between the two points on the number line?
(A) 4 units
(B) 5 units
(C) 9 units
(D) 13 units
7. Which ordered pair best describes the location of the point on the graph?
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(A) (3,2)
(B) (3, 2)
(C) (3,2)
(D) (3, 2)
8. The surface area of a sphere is 484𝜋 cm2. Determine the diameter of the sphere.
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
(A) 11 cm
(B) 13 cm
(C) 18 cm
(D) 22 cm
9. Tyreke is a fashion model. He has 44 pairs of socks, which is the same number that Zaire and Jaysha have
combined. Zaire has three times as many pairs of socks as Jaysha. The equation 44 = 3x + x represents the
pairs of socks each model has.
Tyreke Zaire Jaysha
44
How many pairs of socks does Zaire have?
(A) 3
(B) 11
(C) 33
(D) 44
10. Jasmine rides her bike for 5hr and records the distance she traveled as 65 mi.
What is the average rate that she rode her bike?
(A) 12 mi/h
(B) 13 mi/h
(C) 14 mi/h
(D) 15 mi/h
11. What is the range of the dot plot?
(A) 5
(B) 6
(C) 7
(D) 9
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12. Expand and simplify (x y) (x + y)
(A) x2 – y2
(B) 2x – 2y
(C) x2 – xy + y2
(D) x2 + xy + y2
13. The distance around a tire is about 78.5 in.
What is the approximate longest distance from each end of the tire? Use = 3.14 in
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
(A) 39.25 in
(B) 25 in
(C) 19.625 in
(D) 12.5 in
14. What is the slope of the line given?
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
(A) 9
(B) 6
(C) 0
(D) undefined
15. Simplify | 5 – (-3) |
(A) 8
(B) 2
(C) 2
(D) 8
16. In the graph shown, on which intervals is the graph positive?
I. 2
II. –3<x<0
III. x>0
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IV. x3
(A) I only
(B) II only
(C) IV only
(D) II and III
17. Tetteh has $25 in his wallet. He wants to take a taxi home tonight. The taxi charges a flat fee of $2.50 per ride
and an additional $0.75 per mile.
How many miles can Tetteh ride using only the money in his wallet?
(A) 30
(B) 14.3
(C) 9.7
(D) 7.7
18. Given the function, f(x) = x2 – x – 2, complete the following table.
(A)
(B)
(C)
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(D)
19. What is the period of the graph shown?
(A) 4
(B) 2
(C) ½
(D) 2
20. Mackenzie and Fran are biking in a triathlon. Mackenzie’s bike ride can be modeled by the function f(x) =
6.5x . Fran’s bike ride can be modeled by the function in the table.
Who bikes faster, on average?
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
Time Distance
(min) (km)
5 35
10 70
15 105
20 140
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(A) Mackenzie bikes faster, on average.
(B) Fran bikes faster, on average.
(C) Mackenzie and Fran bike at the same average rate.
(D) There is not enough information to tell.
21. Two wooden racecars are released at top of a ramp. Racecar 1’s distance traveled over time is shown in the
table, and racecar 2’s distance traveled over time is shown in the graph.
Which racecar has a greater average speed in the first five seconds?
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
(A) The average speed of racecar 1 is greater during the first five seconds.
(B) The average speed of racecar 2 is greater during the first five seconds.
(C) The average speed of racecar 1 is the same as the average speed of racecar 2 during the first five seconds.
(D) There is not enough information to tell.
22. Which expression demonstrates the distributive property?
(A) 6 – 1 – 9 = ( 6 – 1) – 9
(B) 6 (1 + 9) = (6)(1) + (1)(9)
(C) 6 + 1 + 9 = 9 + 6 +1
(D) 6(1+9) = (6) (1) + (6)(9)
3
23. If f(x) = 4x + 1, what is the value of f( 4) ?
(A) 6
(B) 4
(C) 0
(D) 1
24. A rectangular prism has a surface area of 86ft2. The length of the prism is 10 ft. The width of the prism is 3 ft.
Determine the height of the prism.
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
(A) 1 ft
(B) 7 ft
(C) 13 ft
(D) 30 ft
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25. What is the range of the frequency table?
(A) 4
(B) 5
(C) 6
(D) 10
26. What is the equation of the line that goes through the points (1, 3) and (2, 4)?
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
(A) y = x – 2
(B) y = x + 2
(C) y = x – 2
(D) y = x + 2
27. In the graph shown, which of the following is an x-intercept?
(A) 15
(B) 5
(C) 1
(D) 0
28. A soccer coach makes his players run two laps around the soccer field to warm up before practice.
If the field is 100yd long and 160 ft wide, about how many miles do the players run to warm up? Round
answer to the nearest hundredth.
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Hint: 3ft = 1yd and 5,280 ft = 1 mi
(A) 0.50 mi
(B) 0.45 mi
(C) 0.40 mi
(D) 0.35 mi
29. Maryanne and Chyna are both employees at a local fast-food restaurant. The scatterplot shows the number of
hours worked per day this past week for both Maryanne and Chyna. Maryanne’s hours are graphed in blue.
Chyna’s hours are graphed in orange.
Who worked more hours this week?
(A) Maryanne worked more hours.
(B) Chyna worked more hours.
(C) Maryanne and Chyna worked the same amount of hours.
(D) There is not enough information to determine how many hours Maryanne and Chyna worked.
30. Based on the scatterplot, which of the following would be the best estimate of a person’s age who owns 15
cats?
(A) 40 years old
(B) 50 years old
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(C) 60 years old
(D) 70 years old
31. The heights of nine basketball players at Northside High School were recorded.
62 in. 65 in. 69 in. 68 in. 70 in. 71 in. 66 in. 65 in. 65 in.
What is the mode height of these nine players?
(A) 65 in.
(B) 66 in.
(C) 68 in.
(D) 70 in.
32. What is the area of the figure shown?
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
(A) 48 m2
(B) 87 m2
(C) 93 m2
(D) 117 m2
33. What is the equation of a line that goes through the point (7, - 1) and has a slope of -2?
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
(A) y = 2x + 13
(B) y = 2x – 1
(C) y = 7x – 1
(D) y = 7x + 13
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34. Compare the table and graph.
Which function has a positive y-intercept?
(A) Only the function in the table has a positive y-intercept.
(B) Only the function in the graph has a positive y-intercept.
(C) Both the function in the table and in the graph have a positive y-intercept.
(D) Neither the function in the table nor the graph has a positive y-intercept.
35. Two wooden racecars are released at top of a ramp. Racecar 1’s distance traveled over time is shown in the
table, and racecar 2’s distance traveled over time is shown in the graph.
Which racecar has a greater average speed from10 – 15 seconds?
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
(A) The average speed of racecar 1 is greater during the interval from 10 - 15 seconds.
(B) The average speed of racecar 2 is greater during the interval from 10 - 15 seconds.
(C) The average speed of racecar 1 is the same as the average speed of racecar #2 during the interval from 10
– 15 seconds.
(D) There is not enough information to tell.
36. Which of the following represents the graph of the line x – 2y = 1?
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
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(A)
(B)
(C)
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(D)
37. Which of the following equations – 2x + y = 2 represents the graph given?
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
(A) – 2x + y = 2
(B) x – 2y = 2
(C) x – 2y = 4
(D) – 2x + y = 4
38. What is the slope of the line with the equation 2x + 6y = 12?
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
(A) – 2
1
(B) – 3
1
(C) 3
(D) 2
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39. What is the relationship between the two lines represented by the equations 3x + 4y = 16 and 3x – 4y = 12?
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
(A) They are parallel.
(B) They are perpendicular.
(C) They cross, but are not perpendicular.
(D) They are the same line.
40. The table represents the cost of washers at the hardware store.
What is the slope of the linear equation that represents the relationship between the number of washers and
cost?
1
(A) 6
1
(B) 5
(C) 5
(D) 6
41. Assuming a constant rate, the graph represents the number of visitors at the history museum.
What is the slope of the linear equation?
(A) 2
(B) 40
(C) 80
(D) 160
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42. Which of the following represents the axis of symmetry in the graph shown?
(A) x = 2
(B) x = 1.5
(C) x = 1
(D) x = 1.5
43. A contracting company charges $50 per hour for labor. Theo wants to determine how much it will cost at
various amounts of time. He decides to represent the contracting fees as a linear equation, with x representing
the amount of time in hours and y representing the amount of money charged.
What is the slope of the linear equation?
(A) 50
(B) 25
1
(C) 25
1
(D) 50
44. In the graph shown, on which interval is the graph positive?
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(A) x < 2
(B) – 2 < x < 0
(C) 0 < x < 3
(D) x > 0
45. A table of values from the function f(x) is shown. From the table of values, what is a relative minimum of
the function?
x f(x)
-4 -2
-3 0
-2 -2
-1 -6
0 -2
(A) 6
(B) 3
(C) 2
(D) 0
46. Compare g(x) to the function in the graph, when g(x) = x2 – 8.
Which statement is true?
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(A) Both g(x) and the function in the graph open down.
(B) Both g(x)and the function in the graph have positive y-intercepts.
(C) Both g(x) and the function in the graph have the same rate of growth.
(D) Both g(x) and the function in the graph have two x-intercepts.
47. In the graph shown, on which interval is the graph increasing?
(A) x 0
(B) – 3 x 1
(C) x 1
(D) x 2
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48. In the graph shown, what is the relative maximum?
(A) 3
(B) 2
(C) 1
(D) 2
49. The table and graph below both show the distances two different cars traveled over time.
Which car had the greatest average speed?
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
(A) Car 1 had the greatest average speed.
(B) Car 2 had the greatest average speed.
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(C) Car 1 and car 2 had the same average speed.
(D) It is impossible to tell from the given information.
50. Given the function f(x) = x – 4 , complete the following table of values.
(A)
(B)
(C)
(D)
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