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-4 of our free GED reviewer for Mathematics.

## GED Math Reviewer, pt. 4

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

**Question 1. What is the perimeter of the figure?**

A. \(11x + 4y\)

B. \(11x + 5y\)✅

C. \(10x + 5y\)

D. \(9x − y\)

**Question 2. The measures of the angles of a triangle are in the ratio 3:2:1. What is the measure of the largest angle of the triangle?**

A. 90°✅

B. 80°

C. 70°

D. 60°

**Question 3. In a basketball game, Nick scored 7 more points than Josh, while Paul scored 2 points less than Josh. If the three boys scored a total of 38 points, how many points did Josh score?**

A. 18

B 14

C. 12

D. 11✅

**Question 4. The number of students in a class is \(\mathbf{x}\). One day, 5 students were absent. What fractional part of the class was present?**

A. \(\frac{5}{x-5}\)

B. \(\frac{x+5}{5}\)

C. \(\frac{5}{x}\)

D. \(\frac{x-5}{x}\)✅

**Question 5. If \(\mathbf{\overline{AC}}\) is perpendicular to \(\mathbf{\overline{CB}}\) and m∠CBD = 125°, then m∠A equals?**

A. 35°✅

B. 45°

C. 55°

D. 85°

**Question 6. The distance between two heavenly bodies is 53,150,000,000 miles. What is the number expressed in scientific notation?**

A. 531.5 ×10^{8}

B. 53.15 × 10^{9}

C. 5.315 × 10^{10}✅

D. 5.315 × 10^{-10}

**Question 7. Given the equation \(\mathbf{x^2+x−6=0}\), which of the following give(s) a complete solution of the equation?**

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

B. \(x=-2, x=3\)✅

C. \(x=-3, x=-2\)

D. \(x=3, x=2\)

**Question 8. What is the slope of the line passing through points A (5,4) and B (0,3)?**

A. 1/10

B. 1/5✅

C. 3/5

D. 4/5

**Question 9. What is the length in feet of the ramp?**

A. 20✅

B. 22

C. 30

D. 32

**Question 10. By how many dollars do the sales in the meat department exceed the sales in the dairy department?**

A. $800

B. $999

C. $1,000✅

D. $1,500

**Question 11. To measure the distance (DC) across a pond, a surveyor takes points A and B so that \(\mathbf{\overline{AB}}\) is parallel to \(\mathbf{\overline{DC}}\). If \(\mathbf{\overline{AB}=60ft}\), \(\mathbf{\overline{EB}=48ft}\), and \(\mathbf{\overline{ED}=80ft}\), find \(\mathbf{\overline{DC}}\).**

A. 200 ft.

B. 100 ft.✅

C. 90 ft.

D. 85 ft.

**Question 12. Mr. Brown purchased 2 bags of apples and 3 bags of oranges for $11.40. If each bag of apples costs $2.50, what is the cost per bag of oranges?**

A. $2.13✅

B. $2.10

C. $1.20

D. $1.15

**Question 13. A rectangular dining room has a floor area of 322 square feet. If the length of the room is 23 feet, what is the perimeter?**

A. 45 ft.

B. 59 ft.

C. 69 ft.

D. 74 ft.✅

**Question 14. The diagram represents a large living room. What is the area, in square yards, of the room?**

A. 60

B. 50✅

C. 40

D. 35

**Question 15. \(\mathbf{\triangle ABC}\) is a right triangle and \(\mathbf{\overline{CD}\perp\overline{AB}}\). If the measure of \(\mathbf{\angle CAD=40°}\), what is the measure of \(\mathbf{\angle DCB}\)?**

A. 30°

B. 40°✅

C. 50°

D. 60°

**Question 16. A box in the form of a rectangle solid has a square base 5 feet in length and a height of h feet. If the volume of the rectangular solid is 200 cubic feet, which of the following equations may be used to find h**

A. 5h = 200

B. 15h = 200

C. h = 200 ÷ 5

D. 25h = 200✅

**Question 17. Wilbert worked 40 hours and earned $6.30 per hour. His friend Jeremy earned $8.40 per hour at her job. How many hours would Jeremy have to work in order to equal Wilbert’s earnings for 40 hours?**

A. 30✅

B. 40

C. 50

D. 110

**Question 18. Which point on the number line represents the closest approximation to the square root of 12?**

A. point A

B. point B

C. point C

D. point D✅

**Question 19. The gauge on a water tank shows that the tank is 1/3 full of water. In order to fill the tank, 16 gallons of water are added. How many gallons of water does the tank hold when full?**

A. 42

B. 32

C. 24✅

D. 20

**Question 20. If 3 times a number is subtracted from twice the number, the result is 10. If \(\mathbf{n}\) represents the number, which equation can be used to find \(\mathbf{n}\)?**

A. \(3n-2=10\)

B. \(2n-3=10\)

C. \(2n-3n=10\)

D. \(2n-3n=-10\)✅

**Question 21 is referred on the following table. This table gives the instructions that accompany an income tax form.**

**Question 21. How much tax is due on a taxable income of $5,800?**

A. $130

B. $165✅

C. $175

D. $210

**Question 22. The graph shows what happens to each $100 taken in by a small business. How many dollars out of each $100 taken in represent profit?**

A. $32

B. $15

C. $9

D. $8✅

**Question 23. 1 kilometer =?**

A. 1,000,000 millimeter*s*✅

B. 10,000 centimeters

C. 1,000 centimeters

D. 100 meters

**Question 24. How many dollars were spent for labor?**

A. $9,600

B. $48,000

C. $96,000✅

D. $960,000

**Question 25. If m∠1 = 36° and m∠2 = 2(m∠3), then m∠3 equals**

A. 48°✅

B. 58°

C. 60°

D. 65°

**Question 26. A bookstore is selling textbooks at x dollars each. A student has a coupon for 20% off. If the store reduces prices by tripling the value of each coupon, how much, in dollars, does the student pay for a textbook?**

A. 0.6x✅

B. 0.8x

C. 0.9x

D. 0.7x

**Question 27. James has $5 more than Arthur and the same amount of money as Marvin. Together, they have $85. How much money does Arthur have?**

A. $20

B. $25✅

C. $30

D. $35

**Question 28. What is the perimeter of the figure?**

A. \(5a+5b\)

B. \(6a+b\)

C. \(6a+4b\)✅

D. \(3a+5b\)

**Question 29. A clothing store is selling a shirt for x dollars. A customer has a coupon for 20% off the original price. If the store reduces prices by subtracting the value of each coupon from the original price, how much, in dollars, does the customer pay for the shirt?**

A. 0.8x✅

B. 0.6x

C. 0.2x

D. 0.5x

**Question 30. A restaurant offers a 10% discount on all meals. If a customer’s bill, including tax, is $60.00, how much did their meal cost before tax and discount?**

A. $43.00

B. $57.14✅

C. $66.00

D. $72.00