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-1 of our free GED reviewer for Mathematics.

## GED Ready 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. Simplify \(\mathbf{(x^4+2)(x^3-8)}\).**

A. \(x^7+8x^4+2x^6-16\)

B. \(x^7 – 8x^4 + 2x^3 – 16\)✅

C. \(x^7-8x^4-2x^3-16\)

D. \(-x^7+8x^4+2x^3+16\)

**Question 2. Solve \(\mathbf{4x – 7 > 2(x + 1)}\).**

A. \(x > 4\)

B. \(x < 4\)

C. \(x < -4\)

D. \(x > -4\)✅

**Question 3. Given \(\mathbf{f(x) = x^2 − 4x + 6}\), where \(\mathbf{x = 3.5}\).**

A. 2.25✅

B. 0.25

C. 0.5

D. 1.75

**Question 4. Find the x and y axis of the given plane coordinate below.**

A. (-6, 5)

B. (-5, 6)

C. (6, -5)✅

D. (5, -6)

**Question 5. Sandy is a math tutor and charges $30 for an initial consultation and then $20 per hour for each tutoring session. If S represents the total cost of tutoring for a certain number of hours, and H represents the number of tutoring hours, which of the following represents the cost formula for tutoring with Sandy?**

A. S = 20H + 10

B. S = 30H + 20

C. S = 20H + 30

D. S = 20H + 30✅

**Question 6. In a jar, there are 6 green marbles, 3 red marbles, and 1 blue marble. If one marble is selected at random, what is the probability that it will be green?**

A. \(\frac{1}{2}\)✅

B. \(\frac{1}{3}\)

C. \(\frac{1}{6}\)

D. \(\frac{1}{8}\)

**Question 7. How are you going to describe the equation \(\mathbf{y = -3x + 2}\) when plotted in a graph?**

A. A line that slopes upward from left to right

B. A line that slopes downward from left to right ✅

C. A horizontal line that intersects the y-axis at 2

D. A vertical line that intersects the x-axis at 2

**Question 8. If \(\mathbf{c = 5}\) and \(\mathbf{d = -2}\), what is \(\mathbf{|c + d|}\)?**

A. 5

B. 3 ✅

C. 7

D. 2

**Question 9. Sam has taken 5 tests so far and has an average score of 80. He wants to raise his average to 85. What score will he need to get on Test 6 to achieve this goal?**

A. 85

B. 90

C. 95

D. 100✅

**Question 10. The area of the circle shown below is 100 π. What is the diameter (D) of the circle?**

A. 10

B. 20✅

C. 30

D. 40

**Question 11. Which of the following is equivalent to \(\mathbf{(4a – 2b)(3a + 5b)}\)?**

A. \(12a^2 – 6b^2\)

B. \(12a^2 + 2ab – 10b^2\)

C. \(10a^2 + 4ab – 15b^2\)✅

D. \(7a^2 + 3ab – 8b^2\)

**Question 12. Each side of the figure below is 12 in. long. What is the area of this shape?**

A. 5 ft^{2}✅

B. 12 ft^{2}

C. 6 ft^{2}

D. 36 ft^{2}

**Question 13. The following data set is given: 122, 130, 145, 154, 165, 178. Adding which number to the set will increase its mean?**

A. 150✅

B. 148

C. 145

D. 140

**Erica’s income and expenditures for the first five months of the year 2020 are given in the table below:**

Month | Income | Spending |
---|---|---|

January | $3020 | $2370 |

February | $2827 | $2012 |

March | $3589 | $2620 |

April | $3424 | $2630 |

May | $3540 | $2570 |

**Question 14. In which two months were her savings the highest?**

A. January and March

B. March and May✅

C. February and March

D. January and February

**Question 15. In Parkville High School, 60% of students are enrolled in a sports team. If the total number of students is 800, how many students are not enrolled in a sports team?**

A. 400

B. 360

C. 320✅

D. 510

**Question 16. Jake filled his car with 15 gallons of gas at $3.15 per gallon. If there is a flat service charge of $2.50 per car fill-up, what was his total cost?**

A. $47.50

B. $51.25

C. $53.50

D. $49.75✅

**Question 17. Jenny is taking a vacation to Florida. She travels 70 kilometers per hour for 2 hours and 63 kilometers per hour for 5 hours. Over the 7-hour time period, what was Jenny’s average speed?**

A. 65 km/h✅

B. 64 km/h

C. 66 km/h

D. 67 km/h

**Question 18. If the sides of this cube are 4 inches long, what is the cube’s volume?**

A. 32 in^{3}

B. 48 in^{3}

C. 64 in^{3}✅

D. 24 in^{3}

**Question 19. Julia earns $12 per hour and worked 35 hours last week. Thomas earns $15 per hour. How many hours would Thomas need to work to earn the same amount as Julia did last week?**

A. 30 hrs.✅

B. 25 hrs.

C. 35 hrs.

D. 40 hrs.

**Question 20. A clothing manufacturer produces 10,000 T-shirts. The company randomly selects 500 T-shirts to inspect for defects. The inspection reveals that 25 T-shirts are defective. Based on the sample, how many of the total T-shirts produced are likely to be defective?**

A. 1000

B. 1,500

C. 500✅

D. 600