GED Math Practice Test 1

Measurement and Geometry

14. What is the approximate distance from New Orleans to Biloxi, MS?
    1. 135 centimeters
    2. 135 meters
    3. 135 millimeters
    4. 135 kilometers
    5. 135 liters
15. On Sundays, Mike gives half-hour drum lessons from 10:30 A.M. to 5:30 P.M. He takes a half-hour lunch break at noon. If Mike is paid $20 for each lesson, what is the total amount he makes on Sunday?
    1. $260
    2. $190
    3. $170
    4. $140
    5. $110
16. Jamal bought 2 feet of material for a costume. The price of the material is $.80 per yard. What fraction of a yard did Jamal purchase?



17. If Ming walks at a rate of 4.5 miles per hour, how many miles can she walk in 5 hours? Mark your answer in the circles in the grid.



18. You borrow $7,000 from Washington Bank to buy a new car. You agree to pay the entire amount owed, including interest, as one payment at the end of 15 months. About how much must you pay the bank at that time?



1. $7,842.25
2. $7,437.50
3. $7,180.94
4. $7,120.30
5. $7,074.75
19. Pierre wants to reduce an 8"× 10" vertical photograph to wallet size. At most, the copy can be 4 inches high. At this height, what will be the width of the copy?



1. 2.4 inches
2. 2.8 inches
3. 3.1 inches
4. 3.2 inches
5. 3.7 inches
20. A map of Nevada has the following scale: 0.5 inches = 15 miles. Which expression tells the actual distance, d, between points that are 5.25 inches apart on the map?



21. A CD plays 75 minutes of music. Which expression can be used to find the maximum number of songs, s, that can be recorded on one CD if the average length of a recorded song is 2 minutes 20 seconds?
    1. s = 75 ÷ 2.2
    2. s = 75 × 2.2
    3. s = 75 ÷ 2
    4. s = 75 × 2
    5. s = 75 ÷ 2
22. The measure of ABC is 55.3°. What is the measure in degrees of an angle that is the complement to ABC?



Mark your answer in the circles in the grid.



23. Annie is making a memory quilt for her grandmother. One of the quilt pieces is shown here. Which expression tells you how to find the measure in degrees of x?



1. (3 × 4) ÷ 360
2. (3 × 4) ÷ 3
3. 180 ÷ 3
4. 180 ÷ (3 × 4)
5. 180 ÷ 4
24. Which is the best estimate of the length of side AB?



1. less than 3 meters
2. equal to 3 meters
3. between 3 and 6 meters
4. equal to 6 meters
5. greater than 6 meters
25. Molly is using square tiles measuring 8 inches on each side to cover the floor of a pantry. Which expression tells the number of tiles needed if the pantry is 6 feet long and 4 feet wide?



26. Travis is making a concrete driveway. The rectangular driveway is 25 feet long and 16 feet wide; the concrete will be 6 inches thick. Which expression gives the number of cubic feet of concrete Travis will need?
    1. 25 × 16 × 0.5
    2. 25 × 16 × 0.6
    3. 25 × 16 × 0.12
    4. 25 × 16 × 2
    5. 25 × 16 × 6
27. The coordinates of three vertices of a parallelogram are (–3,–2), (–1,2), and (3,2). Plot the fourth vertex on the coordinate plane grid.



28. Two points are on a graphed line: (5,1) and (2,0). Which expression gives the slope of this line?
    1. (5 – 1) ÷ (2 – 0)
    2. (2 – 1) ÷ (5 – 0)
    3. (5 – 2) ÷ (1 – 2)
    4. (1 – 0) ÷ (5 – 2)
    5. none of the above

Data Analysis, Statistics, and Probability

29. On two 100-point math exams, Haley scored 80 and 100. If she scores 90 on the next exam, which of the following data measures would change: mean, median, mode, or range?
    1. mean only
    2. median only
    3. mode only
    4. range only
    5. none will change
30. Avi's final math grade is based on his scores on four tests. To get an A, Avi needs an average test score of 88 or higher. His scores for the first three tests are



What is the lowest score Avi can get on the fourth test and still earn an A?

1. 99
2. 97
3. 95
4. 93
5. 91

Use the following information and graph to answer questions 31 and 32.

The Tibetan Tea House sells hot and iced tea. The graph shows how average total sales of each drink depend on the outdoor average temperature.



31. At approximately what temperature are the sales of iced tea and hot tea equal?
    1. 30° F
    2. 40° F
    3. 50° F
    4. 55° F
    5. 60° F
32. Which is the best estimate of hot tea sales at a temperature of 45° F?
    1. about 3 servings
    2. about 3.5 servings
    3. about 6.5 servings
    4. about 65 servings
    5. about 650 servings

Use the following information and line graph to answer questions 33 and 34.

Brenna took an eight-hour road trip. She made a line graph to show the distance she traveled.



33. What was Brenna's average speed during the first five hours?
    1. 55 mph
    2. 45 mph
    3. 35 mph
    4. 30 mph
    5. Not enough information is given.
34. How far did Brenna travel during the first hour of her trip?
    1. about 10 miles
    2. about 25 miles
    3. about 50 miles
    4. about 65 miles
    5. about 85 miles
35. 

In 2000, there were 40,400 registered male voters in Bergen County. That same year, there were 36,200 registered female voters. About how many more women voted that year than men?

1. about 4,000
2. about 3,000
3. about 2,000
4. about 1,000
5. Not enough information is given.

Use the following pie chart to answer questions 36–38.



36. For which item does Ricardo spend half as much as he puts in his savings account?
    1. car
    2. clothes
    3. housing
    4. food
    5. Not enough information is given.
37. For which two items does Ricardo spend 50% of each budgeted dollar?
    1. savings and housing
    2. clothes and housing
    3. car and medical
    4. medical and food
    5. savings and car
38. Last year, Ricardo made $46,500. About how much more did he spend on housing during the year than he put away in savings?
    1. $2,000
    2. $2,600
    3. $2,800
    4. $3,000
    5. $3,200
39. Hillary, Mark, and Jomarie are attending a benefit. A drawing will be held for a door prize for all of those attending. If 390 people attend the benefit, what is the probability that Hillary, Mark, or Jomarie will win the door prize?



40. During a basketball game, Jack has made 20 free-throw shots out of his 50 tries. How many of his next 25 free-throw attempts is Jack most likely to make?
    1. 5
    2. 10
    3. 15
    4. 20
    5. 25

Algebra, Functions, and Patterns

41. What is the value of j in the formula j = 2(4h – 3w)² where h = 3 and w = 2? Mark your answer in the circles in the grid.



42. On an exam, Bart is asked to choose two ways to determine n% of 40. He is given these four choices:
    1. n ÷ 100 × 40
    2. (n × 0.01) × 40
    3. (n × 100) ÷ 40
    4. (n ÷ 0.01) × 40

Which two ways are correct?

1. I and II
2. I and IV
3. II and III
4. II and IV
5. III and IV
43. Terrell is paying a math tutor a $30 one-time fee plus $40 per hour for time spent tutoring. Which of the following equations tells how to find x, the total amount Terrell will be charged for h hours?
    1. x = $30h + $40
    2. x = $30 + $40h
    3. x = ($30 + $40)h
    4. x = $30h – $40
    5. x = ($30 – $40)h
44. Which expression gives the area of this triangle?



1. 7x
2. 12x
3. 6x²
4. 12x²
5. 12x³
45. Serena has to choose between two jobs. One is at Books R Us and pays $18,000 with yearly raises of $800. The other, at Readers Galore, pays $16,400 per year with yearly raises of $1,200. In how many years will the two yearly salaries be equal?
    1. 6
    2. 5
    3. 4
    4. 3
    5. 2
46. When you know the temperature in degrees Celsius (°C), the formula that tells you how to find degrees in Fahrenheit (°F) is °F = C + 32°. According to the formula, which of the following is NOT true?
    1. 212° F = 100° C
    2. 86° F = 30° C
    3. 50° F = 10° C
    4. 32° F = 0° C
    5. 0° F = 32° C
47. Bernie's monthly rent is r. For each day he pays the rent before it is due, he is given a small discount. Which equation tells how the value of r depends on the value of d, the number of days early that Bernie pays his rent?



1. r = $485d – $3
2. r = ($485 + $3)d
3. r = ($485 – $3)d
4. r = $485 + 3d
5. r = $485 – $3d
48. The point (2,2) is on a line that passes through the origin (0,0). What is the point on this line that has a y-coordinate of –5? Mark your answer on the following coordinate plane grid.



49. The simple interest formula is interest earned = principal × rate × time, or I = prt. Maria leaves $3,500 in the bank for 1 year and 6 months. If the total interest earned is $210, what is the interest rate?
    1. 2%
    2. 3%
    3. 4%
    4. 5%
    5. 6%
50. Crystal keeps her winter clothes in two storage boxes during the hotter months. Each edge of the larger box, including the height, is 1.25 yards long. Each edge of the smaller box is 1 yard long or high. By about what percent is the volume of the larger box greater than the volume of the smaller box?
    1. 150%
    2. 95%
    3. 66%
    4. 50%
    5. 33%

Answers

1. b.   $224.99 is greater than $220 but less than $225 (i.e., $224.99 is less than halfway between $220 and $230), so $224.99 rounded to the nearest $10 is $220.
2. d.   Look at the numbers in the tens place: 7, 6, 0, and 8. Placing these numbers on a number line, start at zero to order them from least to greatest.
3. b.   $589.86 – $18.12 – $50.43 + $40.11 = $561.42.
4. d.   Add the cost of the shirts (3 × $16), the cost of the sweatshirts (2 × $22), and the shipping cost ($11).
5. b.   $22 ÷ 4 (Chris plus his three friends) = $5.50.
6. d.   Denise is the fastest runner because she ran the greatest distance. Rewrite the fractional distances greater than 1 mile using the greatest common denominator: 8. . Now, compare numerators. The greatest numerator is 6, so is the greatest distance.
7. d.   Round each distance to the nearest whole number: rounds to 0; rounds to 3; rounds to 2. Then, add the numbers: 0 + 3 + 2 = 5.
8. 

Three pounds divided into -pound pieces equals 12: 3 ÷ = 3 × 4 = 12. You can also think about the question this way: Alexia can make four quarter-pound pieces from one pound of chocolate. With three pounds, she gets three times as much: 4 × 3 = 12.

9. 

= 37.5% ( × 100% = 37.5%); 80% – 37.5% = 42.5%.

10. d.   II: The discounted price = 75% of the original price = 0.75 × $250. IV: The discounted price = (100% – 25%) of the original price = (100% – 25%) × $250 = (1 – 0.25) × $250.
11. b.   Amount going to taxes = $300 + $100 + $124 = $524; gross earnings = $2,000; percent going to taxes = ($524 ÷ $2,000) × 100 = 26.2%, which rounds to 26%.
12. d.   You are looking for n, and = or n = × 200,000. 25 of the 200,000 sample population bicycle to work. × 200,000 = 80,000.
13. a.   (15.5 – 14) ÷ 14 = 0.107 = 10.7%, which rounds to 11%.
14. d.   Only kilometers is a metric measurement used to measure distances between cities. One kilometer is a distance of about 0.6 miles. A distance of 135 kilometers is equal to a distance of about 81 miles.
15. a.   10:30 A.M. to 5:30 P.M. is a seven-hour period. Mike can give 13 lessons, each lasting 30 minutes, if he takes 30 minutes for lunch. $20 × 13 = $260.
16. b.   2 feet = 24 inches = yard = yard. You can also think that 3 feet = 1 yard, so 2 feet = yard.
17. 

d = r × t; d = 4.5 mph × 5 hours = 22.5 miles.

18. b.   Total owed = $7,000 + ($7,000 × 0.05 × 1.25) = $7,437.50. For this question, it may be easier to work using fractions, rather than decimals: total owed = $7,000 + ($7,000 × ) = $7,437.50.
19. d.   Width of copy/width of original = height of copy/height of original: = 3.2.
20. a.   , or map distance in inches/actual distance in miles.
21. e.   20 seconds = minutes = minute. Now, divide the available minutes on the CD (75) by the length of one song (2).
22. 

Remember that any two angles whose measures add to 90 degrees are complementary angles. 90° – 55.3° = 34.7°.

23. c.   Each of the three angles has an equal measure because each of the sides has an equal measure (4 inches). The sum of the three angles is 180 degrees.
24. c.   An estimate using the Pythagorean relationship gives a length of a little more than 5 meters: .
25. e.   Number of tiles equals area of pantry (in square feet) divided by area of a single tile (in square feet): area of pantry = 6 × 4 square feet; area of single tile = × square foot.
26. a.   The volume of a rectangular solid is found by multiplying the length times the width times the height, where each dimension is in the same unit: 25 feet × 16 feet × 0.5 feet (6 inches is written as 0.5 feet).
27. 

A parallelogram has two pairs of parallel sides. You can easily determine the fourth vertex by visually identifying where the lines must meet. Remember, opposite sides are parallel and have equal length.

28. d.   Slope equals change in y value divided by change in x value: (1 – 0) ÷ (5 – 2).
29. e.   The mean of 80 and 100 is 90; the mean of 80, 90, and 100 is also 90. The median of 80 and 100 is 90; the median of 80, 90, and 100 is also 90. The range of 80 and 100 is 20 (100 – 80); the range of 80, 90, and 100 is also 20. Neither set has a mode.
30. b.   For the lowest score Avi needs to get an A, assume his final average is 88. Average = (90 + 80 + 85 + a) ÷ 4 = 88. To find a, multiply 88 by 4. Then subtract Avi's first three scores: 88 × 4 = 352; 352 – (90 + 80 + 85) = 352 – 255 = 97.
31. d.   If you connect the dots, the two lines would cross at about 55° F. The number of sales of each drink at this point is about 375.
32. e.   This would be about 650 servings, which is halfway between 750 (at 40° F) and 550 (at 50° F).
33. c.   To determine the average speed, divide the miles traveled during the first 5 hours (175 miles) by the time of travel (5 hours). 175 miles ÷ 5 hours = 35 miles per hour.
34. c.   You can determine this by finding the point on the graphed line above the 1-hour point on the horizontal axis, which is about 50 miles.
35. d.   In 2000, 70% of women voted, and 70% of 36,200 = 0.7 × 36,200 = 25,340. In 2000, 60% of men voted, and 60% of 40,400 = 0.6 × 40,400 = 24,240. Female voters – male voters = 1,100, which is closest to 1,000.
36. a.   Ricardo spends 11% for his car, half of the 22% he saves. (You can use % for the pie chart values without doing any additional math, since the values are out of 100 already.)
37. a.   Savings and housing together make up 50% of Ricardo's budget: 22% + 28%.
38. c.   Ricardo spent 6 cents more per dollar on housing than on food: 28 – 22 = 6. 6 cents is 6% of each budgeted dollar. $46,500 × 0.06 = $2,790, which is about $2,800.
39. d.   Hillary, Mark, and Jomarie together have three chances. Probability = .
40. b.   Jack is likely to make × 25 = 10 of his next 25 free-throw attempts.
41. 

j = 2(4 × 3 – 3 × 2)² = 2(12 – 6)² = 2(6)² = 2(36) = 72.

42. a.   Percent means "out of 100 equal parts." The term n% can be written as or as 0.01n, which is equal to n × 0.01.
43. b.   The one-time fee is $30, and the charge for working h hours is $40h. Add $30 and $40h to find x: x = $30 + $40h.
44. c.   The area of a triangle = × base × height = (4x)(3x) = (12x²) = 6x².
45. c.   Each job will pay $21,200 after 4 years. You can see this by making a chart:



46. e.   If °C = 32, then (32°) + 32° = F, not 0° F.
47. e.   This equation matches the table. When d = 0, r = $485: $485 – $3(0) = $485. When d = 1, r = $482: r = $485 – $3(1) = $482; and so on.
48. 

This line passes through the origin and has a slope of +1. For every point on this line, the x value is equal to the y value.

49. c.   I = prt can also be written as r = i ÷ (p × t). r = $210 ÷ ($3,500 × 1.5) = $210 ÷ $5,250 = 0.04 = 4%.
50. b.   The volume of the larger box = 1.25³, which is about 1.95 cubic yards. The volume of the smaller box = 1³, or 1 cubic yard. 1.95 is 95% larger than 1.