Topics included in this portion of the exam are quantitative and algebraic problem-solving, geometry, data analysis, and data sense. The goal is to measure your mathematical knowledge and problem-solving skills.

Get a sense of the test questions by answering the quiz below. In the actual, the test may include multiple-choice, drag-and-drop, and fill-in-the-blank questions. This is Part-2 of our free GED reviewer for Mathematics.

## GED Math reviewer

**Direction:** Solve each problem and select the best answer. You may use your calculator and use the Mathematics Formula Sheet as needed.

**Question 1. In a ballet class, 80% of the ballet students are girls and 20% are boys. The average age of the girls is 30 and the average age of boys is 40. What is the average age of all ballet students?**

A. 40

B. 36

C. 30

D. 32✅

**Question 2. The can of soda has a height of 6 inches and a lid diameter of 3 inches. Calculate the surface area of this soda can.**A. \(70.65~ \text{in}^2\)✅

B. \(169.56~ \text{in}^2\)

C. \(14.13~ \text{in}^2\)

D. \(56.52~ \text{in}^2\)

**In the high school volleyball team, each player has been weighed, the data are shown below in the box-and-whisker plot.**

**Question 3. Based on the box-and-whisker plot which of the statement is correct?A. The median player weighs 245 lbs.B. The heaviest player weighs 300 lbs.C. The lightest player weighs 200 lbs.D. One-fourth of the players weigh less than 200 lbs.**✅

**Question 4. Which of the following equations represents\(y\) in terms of \(x\) for all ordered pairs listed?**

x | y |
---|---|

2 | 7 |

3 | 9 |

4 | 11 |

A. \(y = x + 5\)

B. \(y = 4x ÷ 3\)

C. \(y = 2x + 3\)✅

D. \(y = 3x^2\)

**Question 5. On the soccer field, each time they play a game there is a 90% chance that the Red Bull soccer team will score the first goal. What is the probability of the Red Bull soccer team scoring the first goal in 4 straight games?**

A. 0.45

B. 0.656✅

C. 0.81

D. 0.729

**Question 6. Compute the value of x in the right triangle as shown below.**

A. 65✅

B. 66

C. 89

D. 56

**Question 7. Albert lives halfway between Chicago and Hoopertown. Samantha lives halfway between Albert and Chicago. Lucas lives between Albert and Hoopertown. All three houses lie in a straight line from Chicago to Hoopertown. If Lucas lives 15 miles from Samantha and 23 miles from Chicago, how far does he live from Hoopertown?**

A. 12 miles

B. 9 miles✅

C. 7 miles

D. 5 miles

**Question 8. Joey browses an online shop and wants to buy as many bags of fertilizer as possible for his backyard garden with his 305$, he wanted them to be delivered to his house, and each bag of fertilizer costs 7.50$ and with a delivery charge of 35.75$. How many bags of fertilizer can Joey buy if the fertilizer is sold in full bags?**

A. 45

B. 36

C. 46

D. 35✅

**Question 9. What is the slope of the line passing through the points (0, 5) and (7, 0) in the given coordinate plane?**

A. \(\frac{5}{7}\)

B. \(\frac{7}{6}\)

C. \(-\frac{5}{7}\)✅

D. \(-\frac{7}{5}\)

**Question 10. Which of the following expressions must be positive if \(\mathbf{x}\) is a small negative integer and \(\mathbr{y}\) is a large positive integer?**

A. \(y − x\)✅

B. \(y ÷ x\)

C. \(x * y\)

D. \(x ÷ y\)

**Question 11. What is the distance between these two points if the two points are plotted on a number line -11.2 and 3.3?**

A. -7.9

B. 14.5✅

C. 7.9

D. -14.5

**Question 12. What is the product of 65 x 8.8?**

A. 5.72

B. 57.2

C. 657

D. 572✅

**Question 13. Which of the following expressions in the set of real numbers is undefined?**

A. \(\sqrt{0}\)

B. \(\sqrt{-9}\)✅

C. \(\sqrt{16}\)

D. \(\sqrt{5.29}\)

**Question 14. To make this fraction undefined, find the value of \(\mathbf{x}\) in the given equation below.**

\(\frac{12x}{5+x}\)

A. -5✅

B. 5

C. 0

D. -12

**Question 15. Find the greatest common factor of 56 and 66.**

A. 14

B. 4

C. 6

D. 2✅

**Question 16. Find the quotient of 20.65 ÷ 5.**

A. 41.3

B. 413

C. 4.13✅

D. 4.12

**Question 17. What is the distance between the two points shown on the number line?**

A. \(5\frac{1}{2}\)

B. \(6\frac{1}{2}\)✅

C. \(\frac{1}{2}\)

D. \(-5\frac{1}{2}\)

**Question 18. Find the greatest common factor of 23, 45, and 60.**

A. 3

B. 9

C. 1✅

D. 4

**Question 19. What is \(\mathbf{\sqrt[\leftroot{10}3]{-8}}\) =?**

A. 4

B. -2✅

C. undefined

D. -4

**Question 20. Find the quotient of 15.18 ÷ 3.3.**

A. 4.6✅

B. 0.46

C. 46

D. 46.06