GED Math Diagnostic Practice Test

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Question 1 of 20

1. Question
Put these four fractions in order from smallest to largest: 1/4, 2/3, 4/7, 1/2
- a. 1/4, 1/2, 4/7, 2/3
- b. 1/4, 1/2, 2/3, 4/7
- c. 1/2, 2/3, 1/4, 4/7
- d. 1/4, 4/7, 1/2, 2/3
Correct

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Question 2 of 20

2. Question
On a number line what is the distance between -3/7 and -2/3 ?
- a. 23/21
- b. 1/4
- c. 5/21
- d. -23/21
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Question 3 of 20

3. Question
An isosceles triangle has two equal sides. If two of the sides are 5 inches and 2 inches, what is the perimeter of the triangle?
- a. 19 inches
- b. 12 inches
- c. 10 inches
- d. None of the above
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Question 4 of 20

4. Question
The cylinder below has r = 10 inches and a volume of 6283 cubic inches to the nearest cubic inch. Find the height of the cylinder to the nearest inch.
- a. 25 inches
- b. 3 inches
- c. 10 inches
- d. 20 inches
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Question 5 of 20

5. Question
A rocket on a computer screen has a path modeled by the equation h=-t²+3t+10 where t is time in seconds and h is the height above a platform and is in computer units. Find how long the rocket takes to reach the platform.
- a. 2 seconds
- b. 10 seconds
- c. 12 seconds
- d. 5 seconds
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Question 6 of 20

6. Question
One third of the candidates for a job were 25 years old or younger. Two sevenths of the candidates were at least 50 years old. If 84 people applied for the job, how many were between 25 and 50?
- a. 32
- b. 28
- c. 24
- d. 33
Correct

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Question 7 of 20

7. Question
Which of the following is a factor of 450 and multiple of 25?
- a. 30
- b. 75
- c. 90
- d. 100
Correct

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Question 8 of 20

8. Question
Which of the following is the equation of the straight line joining the points on the graph corresponding to t = 2 and t = 1?
- a. T + 3t = 11
- b. T – 3t = 11
- c. T + 11t = 3
- d. T + 3t = 1
Correct

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Question 9 of 20

9. Question
The formula for the volume V of the sphere = 4(pi)r³ / 3. Which of the following is the closest approximation to the volume when r, the radius, is 11 inches?
- a. 6000 cubic inches
- b. 5590 cubic inches
- c. 5573 cubic inches
- d. 5000 cubic inches
Correct

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Question 10 of 20

10. Question
Results that senior students from a large high school received in an international mathematics examination.

A pass in this examination is regarded as a mark of 40 or more. How many students in this high school failed to pass this mathematics examination?
- a. 167
- b. 279
- c. 187
- d. 299
Correct

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Question 11 of 20

11. Question
Which is the best simplification of (2⁴ x 3²) / (2 x 3)?
- a. (2⁴ x 3²) / (2 x 3)
- b. (2³ x 3) / (2 x 3)
- c. 6⁵
- d. 2³ x 3
Correct

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Question 12 of 20

12. Question
Which of the following is the same as (√3 + √2)² ?
- a. 5 + 2√6
- b. 5
- c. 6
- d. 5 + 2√5
Correct

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Question 13 of 20

13. Question
What is the value of (x² + x + 3) / (x + 2) when x = -1?
- a. 1
- b. 3
- c. 5
- d. -1.5
Correct

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Question 14 of 20

14. Question
Which of the following is the same as 10x² – 11x + 3?
- a. (5x + 3)(2x – 1)
- b. (5x – 3)(2x – 1)
- c. (5x + 1)(2x – 3)
- d. (5x – 3)(2x + 1)
Correct

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Question 15 of 20

15. Question
How many ways can 6 people sit on a bench if 3 of them have to sit side by side?
- a. 720
- b. 5040
- c. 144
- d. 24
Correct

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Question 16 of 20

16. Question
There is a 12% sales tax. The pre-tax cost of a mobile phone is $280. What is the tax payable on this mobile phone?
- a. $28.56
- b. $33.60
- c. $312
- d. $313.60
Correct

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Question 17 of 20

17. Question
Given the formula a = s² + 3b – c , find the value of a when s = 7, b = 13 and c = -24.
- a. 77
- b. 29
- c. 64
- d. 112
Correct

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Question 18 of 20

18. Question
The circle below is divided into eight equal sectors. If a sector is chosen at random what is the probability that the sector contains B or C?
- a. 37.5%
- b. 62.5%
- c. 50%
- d. 75%
Correct

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Question 19 of 20

19. Question
A wage sheet of a small business shows one employee’s details. The employee is paid $40 an hour for overtime hours where they work more than their usual 26 hours.

Employee Rate Per Hour Normal Hours Overtime Hours Wage

ABC $25.00 26 x $850

What number should replace x?
- a. 4
- b. 5
- c. 3
- d. 8
Correct

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Question 20 of 20

20. Question
The graph below is part of the graph of the function T = (t + 1)(t – 3) for the temperature in a refrigerator for time t hours after midday.

For which set of t values is the temperature below 0?
- a. 1< t < 3
- b. -1< t < 3
- c. t >= 3
- d. -1< t < -3
Correct

Incorrect