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 100π. 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 ft2✅
B. 12 ft2
C. 6 ft2
D. 36 ft2
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 in3
B. 48 in3
C. 64 in3✅
D. 24 in3
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
