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.

## GED Reviewer Advanced Math, pt. 2

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

**Question 1. Alice needs to ship eight identical packages, each weighing 5 lb 8 oz. What is the total weight of the shipment?**

A. 38 lb 12 oz

B. 42 lb 4 oz✅

C. 45 lb 8 oz

D. 52 lb 12 oz

**Question 2. In a zoo, there are 540 animals. If 45% of the animals are monkeys, how many animals are there that are non-monkeys?**

A. 297

B. 292

C. 297✅

D. 297.5

**Question 3. On a blueprint, 1 inch represents 20 feet. If the length of a room is 35 feet, what is the length of the room on the blueprint?**

A. 1.75 inches✅

B. 1.75 feet

C. 7 inches

D. 7 feet

**Question 4. A rope is 20 meters long. If a 6-meter piece is cut off from it, how many meters of rope are left?**

A. 12 meters

B. 14 meters✅

C. 16 meters

D. 26 meters

**Question 5. A swimming pool is 20 meters long, 10 meters wide, and 3 meters deep. What is the volume of the pool in cubic meters?**

A. 30 cubic meters

B. 50 cubic meters

C. 200 cubic meters

D. 600 cubic meters✅

**For questions 6–8 refer to the following graph provided below.**

**Question 6. What was the total amount, in gallons, of paint sold by the store that week?**

A. 20

B. 30

C. 60✅

D. 65

**Question 7. How many gallons of paint were sold on Wednesday?**

A. 6✅

B. 8

C. 9

D. 10

**Question 8. How much more paint was sold on Saturday than on Monday?**

A. 15 gallons

B. 12 gallons✅

C. 20 gallons

D. 35 gallons

**Question 9. A car travels at a speed of 60 miles per hour. If it travels for 3 hours, how far does it go?**

A. 90 miles

B. 120 miles

C. 180 miles✅

D. 200 miles

**Question 10. Mark invested $1,500 in a savings account that pays 4% interest per year. If he leaves the money in the account for two years, how much interest will he earn?**

A. $60

B. $120✅

C. $240

D. $480

**Question 11. John borrows $10,000 for two years at a simple interest rate of 8%. How much will he pay in interest?**

A. $800

B. $1,000

C. $1,200

D. $1,600✅

**For questions 12 and 13 refer to the graph provided below.**

**Question 12. Approximately what fraction of the company’s total sales came from in-store sales?**

A.1/3✅

B. 2/3

C.1/4

D.1/2

**Question 13. Customers of Rico’s Beauty Supply can make purchases online, from a catalog, or in the store. About how much more did the company make from catalog sales than from online sales in March?**

A. $40,000

B. $50,000

C. $65,000✅

D. $75,000

**Question 14. Two adults and four children pay $48 to get into the fair. A child’s ticket is $6 less than an adult’s ticket. What is the cost of an adult’s ticket?**

A. $8

B. $12✅

C. $15

D. $18

**Question 15. At a certain time of day, a flagpole casts a shadow 16 feet long. At the same time, a man standing nearby casts a shadow 4 feet long. If the man is 6 feet tall, how tall, in feet, is the flagpole?**

A. 12 feet

B. 18 feet

C. 20 feet

D. 24 feet✅

**Question 16. What is the mode of the following: 24, 16, 20, 18, 20, 21, 19, and 17?**

A. 20✅

B. 18

C. 17

D.16

**Question 17. If 1 euro is worth 1.2 U.S. dollars, what is the value, in euros, of 500 U.S. dollars?**

A) 400 euros

B) 416.67 euros**✅**

C) 500 euros

D) 600 euros

**For questions 18–20 refer to the information provided below**.

**A 3-foot-wide walkway is built around a swimming pool that is 20 feet by 30 feet, as shown in the following figure.**

**Question 18. What is the total area, in square feet, of the pool and the walkway?**

A.1200

B. 936✅

C.739

D.159

**Question 19. If the depth of the pool is 6 feet, what volume of water, in cubic feet, is needed to fill the pool?**

A. 200

B. 600

C.1300

D. 3600✅

**Question 20. In order to determine how much flagstone to buy, the homeowner needs to know the total area, in square feet, of the walkway. Which of the following expressions represents this area?**

A. (26)(36)

B. (23)(33)

C. (26)(36) − (20)(30)✅

D. (23)(33) − (20)(30)

**Question 21. A bookcase has 3 large shelves and 4 small shelves. Each large shelf contains 8 more books than each small shelf. If the bookcase contains 297 books, how many books does each small shelf hold?**

A. 29

B. 39✅

C. 49

D. 59

**Question 22. What is the slope of the line that passes through points A and B on the coordinate graph?**

A. 1/2

B. 1/4

C. 1/5

D. 1/3✅

**Question 23. On a road map, 1/4 inch represents 8 miles of actual road distance. The towns of Alton and Waverly are represented by points 2 (1/8) inches apart on the map. What is the actual distance, in miles, between Alton and Waverly?**

A. 68✅

B. 58

C. 42

D. 32

**Question 24. Mia had $846 in her savings account. She withdrew $125 and made a deposit of $98.50. Which of the following equations could be used to find the new balance (b) in her savings account?**

A. b = 846 – 125 + 98.50

B. b = 846 + 125 – 98.50✅

C. b = 846 – 125 – 98.50

D. b = 846 + 125 + 98.50

**Question 25. What is the area, in square graph units, of the triangle?**

A. 48

B. 32

C. 16✅

D. 10

**Question 26. At the start of the year, the value of a car was $12,000. By the end of the year, its value had decreased by 25%. What was the value of the car at the end of the year?**

A. $2,000

B. $4,000

C. $6,000

D. $9,000**✅**

**Question 27. Evaluate \(\mathbf{y^2(4x−y)}\) if \(\mathbf{y=−2}\) and \(\mathbf{x=8}\).**

A. 98

B. 102

C. 136**✅**

D. 140

**Question 28. John has $60,000 to invest. He puts some of the money in a savings account at 4% annual interest and the rest in stocks that have an average return of 8% per year. If his total interest earnings after one year were $3,720, how much money did John invest in the stocks?**

A) $30,000**✅**

B) $36,000

C) $42,000

D) $48,000

**Question 29. What is the value of the expression \(\mathbf{4x-3y+2z}\), when \(\mathbf{x=5}\), \(\mathbf{y=7}\), and \(\mathbf{z=9}\)?**

A. 16

B. 17**✅**

C. 25

D. 30

**Question 30. What is the median value of $268, $1,258, $654, $1,258, $900, $1,558, and $852?**

A. $1,258

B. $913

C. $960

D. $900✅

**Question 31. Emily has a rectangular garden that measures 12 feet by 18 feet. She wants to put a fence around the perimeter of the garden to keep animals out. If one fence panel is 6 feet long, how many fence panels will she need to completely surround the garden?**

A. 6

B. 9

C. 10**✅**

D. 12

**Question 32. O is the center of the circle, and the measure of ∠O is 70°. What is the measure of ∠OAB? **

A. 45°

B. 55°✅

C. 65°

D. 75°

**Question 33. The solution x = −5 makes which of the following equations true?**

A. x + 3 = 8

B. 2x = 20

C. 14 − x = 9

D. 12x = −60✅

**Question 34. Ms. Kraus buys 40 feet of wool to use for scarves. How many scarves of 3 feet 4 inches each in length can she cut from this material, assuming each scarf is as wide as the original piece of fabric?**

A. 12✅

B. 14

C. 16

D. 20

**Question 35. Evaluate (6 × 10 ^{5}) ÷ (4 × 10^{3}).**

A. 120

B. 150✅

C. 1500

D. 2000