Free GED Math Practice Test and 20 Sample Questions

Try the free timed GED Math practice test, or start with the 20 public sample questions below and check the worked answers. Use mistakes to choose a topic to review. These are independent Effortless Math materials; practice results do not predict an official GED score.

Interactive GED Math practice test

This practice has 46 questions and a 115-minute timer. Answers and explanations appear after submission. Use the full-screen link if you need more room.

20 GED Math sample questions

Work through these questions with your answers on paper. Mark guesses too, then compare your method with the explanations. No paid book or signup is required to use these public samples.

1- Out of 55,000 voters in a city, 2,500 voted for a particular candidate. What fraction of voters voted for this candidate?

A. \(\frac{1}{22}\)

B. \(\frac{1}{20}\)

C. \(\frac{1}{18}\)

D. \(\frac{1}{15}\)

2- What is the value of \(4 \div \frac{1}{6}\)?

A. \(\frac{2}{3}\)

B. 6

C. 18

D. 24

3- Simplify \((6x^3-8x^2+2x^4 )-(4x^2-2x^4+2x^3 )\).

A. \(2x^4+4x^3-4x^2\)

B. \(4x^4+4x^3-12x^2\)

C. \(4x^4-4x^3-12x^2\)

D. \(8x^4+8x^3-12x^2\)

4- The population of a city increased by \(15\%\) in the first year and by \(20\%\) in the second year. What is the total percent increase in population over the two years?

A. \(35\%\)

B. \(37\%\)

C. \(38\%\)

D. \(40\%\)

5- What is the surface area of a cylinder with a diameter of 6 inches and a height of 8 inches?

A. \(48 {\pi} \space \text{ in }^2\)

B. \(57 {\pi} \space \text{ in }^2\)

C. \(66 {\pi} \space \text{ in }^2\)

D. \(288 {\pi} \space \text{ in }^2\)

6- A cruise line ship left Port A and traveled 80 miles due west and then 150 miles due north. At this point, what is the shortest distance from the cruise to port A in miles? ____________

7- A shirt costing $200 is discounted \(15\%\). After a month, the shirt is discounted another \(15\%\). Which of the following expressions can be used to find the selling price of the shirt?

A. \((200) (0.70)\)

B. \((200) – 200 (0.30)\)

C. \((200) (0.15) – (200) (0.15)\)

D. \( (200) (0.85) (0.85)\)

8- Solve: \(5 + 8 \times (-2) – [4 + 22 \times 5] \div 6 = ?\)

A. \(-30\)

B. \(-20\)

C. \(-10\)

D. 0

9- Which of the following points lies on the line \(x+2y=4\)?

A. \((-2, 3)\)

B. \((1, 2)\)

C. \((-1, 3)\)

D. \((-3, 4)\)

10- 5 less than twice a positive integer is 83. What is the integer?

A. 39

B. 41

C. 42

D. 44

11- 11 yards 6 feet and 4 inches equal to how many inches?

A. 388

B. 468

C. 472

D. 476

12- Mr. Carlos’s family is choosing a menu for their reception. They have 3 choices of appetizers, 5 choices of entrees, 4 choices of cake. How many different menu combinations are possible for them to choose from?

A. 12

B. 32

C. 60

D. 120

13- The average of five consecutive numbers is 38. What is the smallest number?

A. 38

B. 36

C. 34

D. 12

14- What is the difference between the smallest 4, digit number and the biggest 4, digit number?

A. 6666

B. 6789

C. 8888

D. 8999

15- How many tiles of 8 \(\text{ cm }^2\) is needed to cover a floor of dimension 6 cm by 24 cm?

A. 6

B. 12

C. 18

D. 24

16- A ladder leans against a wall, forming a \(60^\circ\) angle with the ground. If its bottom is 30 feet from the wall, how long is the ladder?

A. 30 feet

B. 40 feet

C. 50 feet

D. 60 feet

17- The average weight of 18 girls in a class is 60 kg and the average weight of 32 boys in the same class is 62 kg. What is the average weight of all the 50 students in that class?

A. 60

B. 61.28

C. 61.68

D. 62.90

18- An angle is equal to one-fifth of its supplement. What is the measure of that angle?

A. 20

B. 30

C. 45

D. 60

19- In a stadium the ratio of home fans to visiting fans in a crowd is 5:7. Which of the following could be the total number of fans in the stadium?

A. 12,324

B. 42,326

C. 44,566

D. 66,812

20- If \(40\%\) of a class are girls, and \(25\%\) of girls play tennis, what percent of the class are girls who play tennis?

A. \(10\%\)

B. \(15\%\)

C. \(20\%\)

D. \(40\%\)

Answers and explanations

2- D
\(4 \div \frac{1}{6} = 24 \)

3- B
Simplify and combine like terms.
\((6x^3-8x^2+2x^4 )-(4x^2-2x^4+2x^3 ) {\Rightarrow} (6x^3-8x^2+2x^4 )-4x^2+2x^4-2x^3 {\Rightarrow}4x^4+4x^3-12x^2\)

4- C
the population is increased by \(15\%\) and \(20\%\).
\(15\%\) increase changes the population to \(115\%\) of original population.
For the second increase, multiply the result by \(120\%\).
\((1.15) \times (1.20) = 1.38 = 138\%\)
38 percent of the population is increased after two years.

5- C
Surface Area of a cylinder \(= 2\pi r(r + h)\),
The radius of the cylinder is \(3(6 \div 2)\) inches and its height is 8 inches. Therefore,
Surface Area of a cylinder \(= 2\pi (3) (3 + 8) = 66\pi\)

6- 170
Use the information provided in the question to draw the shape.

Use Pythagorean Theorem: \(a^2 + b^2 = c^2 \)
\(80^2 + 150^2 = c^2 {\Rightarrow} 6400 + 22500 = c^2 {\Rightarrow} 28900 = c^2 {\Rightarrow} c = 170\).

7- D
To find the discount, multiply the number by \((100\% –\) rate of discount).
Therefore, for the first discount we get: \((200) (100\% – 15\%) = (200) (0.85) = 170\)
For the next \(15\%\) discount: (200) (0.85) (0.85)

8- A
Use PEMDAS (order of operation):
\(5 + 8 \times (-2) – [4 + 22 \times 5] \div 6 = 5 + 8 \times (-2) – [4 + 110] \div 6 = 5 + 8 \times (-2) – [114] \div 6 = 5 + (-16) – 19\)
\(5 + (-16) – 19 = -11 – 19 = -30\)

9- A
\(x+2y=4\). Plug in the values of \(x\) and \(y\) from choices provided. Then:
A. \((-2,3) x+2y=4(\rightarrow )-2+2(3)=4(\rightarrow )-2+6=4\) This is true!
B. \((1,2) x+2y=4(\rightarrow )1+2(2)=4(\rightarrow )1+4=4\) (This is NOT true!)
C. \((-1,3) x+2y=4(\rightarrow )-1+2(3)=4(\rightarrow )-1+6=4\) (This is NOT true!)
D.\( (-3,4) x+2y=4(\rightarrow )-3+2(4)=4(\rightarrow )-3+8=4 \)(This is NOT true!)

10- D
Let \(x\) be the integer. Then:
\(2x – 5 = 83\)
Add 5 both sides: \(2x = 88\)
Divide both sides by\( 2: x = 44\)

11- C
\(11 \times 36 + 6 \times 12 + 4 = 472\)

12- C
To find the number of possible menu combinations, multiply number of options for each factor:
3 \(\times \) 5 \(\times \) 4 \(=\) 60

13- B
Let \(x\) be the smallest number. Then, these are the numbers:
\( x, x+1, x+2, x+3, x+4 \)
\( \text{ average } = \frac{\text{ sum of terms }}{\text{ number of terms }} \Rightarrow 38 = \frac{x+(x+1)+(x+2)+(x+3)+(x+4)}{5} \Rightarrow 38= \frac{5x+10}{5} \Rightarrow 190 = 5x+10 \Rightarrow 180 = 5x \Rightarrow x=36 \)

14- D
Smallest 4, digit number is 1000, and biggest 4, digit number is 9999. The difference is: 8999

15- C
The area of the floor is: \(6 \text{ cm } \times 24 \text{ cm } = 144 \text{ cm }^2 \)
The number of tiles needed\( = 144 \div 8 = 18\)

16- D
The relationship among all sides of special right triangle
\(30^ \circ -60^ \circ – 90^ \circ \) is provided in this triangle:

In this triangle, the opposite side of \(30^ \circ \) angle is half of the hypotenuse.
Draw the shape for this question:
The ladder is the hypotenuse. Therefore, the ladder is 60 ft.

17- B
\(\text{ average } = \frac{\text{ sum of terms }}{\text{ number of terms }}\)
The sum of the weight of all girls is: \(18 \times 60 = 1080\) kg
The sum of the weight of all boys is: \(32 \times 62 = 1984\) kg
The sum of the weight of all students is: \(1080 + 1984 = 3064\) kg
\( \text{ average } = \frac{3064}{50}=61.28\)

18- B
The sum of supplement angles is 180. Let \(x\) be that angle. Therefore,
\(x + 5x = 180\)
\(6x = 180\), divide both sides by \(6: x = 30\)

19- A
In the stadium the ratio of home fans to visiting fans in a crowd is 5:7. Therefore, total number of fans must be divisible by \(12: 5 + 7 = 12\).
Let’s review the choices:
A. 12,324: \(12,324 \div 12 = 1027\)
B. 42,326: \(42,326 \div 12 = 3,527.166\)
C. 44,566: \(44,566 \div 12 = 3,713.833\)
D. 66,812: \(66,812 \div 12 = 5,567.666\)
Only choice A when divided by 12 results a whole number.

20- A
The percent of girls playing tennis is:
\(40 \% \times 25\% = 0.40 \times 0.25 = 0.10 = 10\%\)

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Official GED Math test facts

GED Testing Service lists 115 minutes for Mathematical Reasoning, including instructions, final review and a three-minute break between the two parts. Part 2 provides an on-screen calculator; a personal TI-30XS is allowed at a test center. The exam includes multiple choice and other response formats. See the official test-subject overview for current details.

The official passing score is 145 in each subject. This site’s practice accuracy cannot be converted into an official score or a pass prediction. See GED Testing Service score guidance and its free previews and calculator tutorials for additional preparation.