GED Math Practice Test 2

Part I

You may use a calculator for questions on this part of the test.

1. At the local bookstore, notebooks are available in two colors: white and gray. Shown are the notebooks currently in stock.



What percent of the notebooks are gray? Mark your answer in the circles in the grid.



2. Estimate the average number of people who entered the Natural History Museum per day for the week shown in the following table:



1. 900
2. 800
3. 700
4. 600
5. 500
3. Bonnie's phone plan charges $0.1165 for each minute she uses. Her sister Blaire pays $0.095. How much more does Bonnie pay for each minute?
   1. $0.0215
   2. $0.107
   3. $0.126
   4. $0.2115
   5. $1.0665
4. 5 + =
   1. 6
   2. 7
   3. 8
   4. 9
   5. 10

Questions 5 and 6 refer to the following table.

5. From an online store, Maelyn buys two CDs for $15.95 each and a poster for $5.97. What is the total cost for Maelyn's purchase if she uses standard shipping?
   1. $15.97
   2. $27.87
   3. $29.92
   4. $45.82
   5. $52.82
6. Maelyn orders three DVDs from the online store for $14.50 each. How much more will her order cost if she chooses one-day shipping rather than standard shipping?
   1. $19
   2. $20
   3. $23
   4. $43.50
   5. $51.45
7. Mika ran the 100-yard dash in 10.11 seconds. To the nearest hundredth of a mile, how far did Mika run?
   1. 0.02 mile
   2. 0.05 mile
   3. 0.06 mile
   4. 0.19 mile
   5. 0.57 mile
8. A 1.2-ounce piece of chocolate contains about 230 calories. About how many calories does a 4-ounce piece contain?
   1. 610
   2. 650
   3. 710
   4. 770
   5. 840
9. Beatriz takes a loan out for $2,000 at 12% simple interest. If she makes no payments for 18 months, how much interest will she owe?
   1. $24
   2. $36
   3. $240
   4. $360
   5. $720
10. A building's blueprint has a scale that reads 1 inch = 24 inches. What is the actual length of a window that measures 1 inches on the blueprint?
    1. 2 feet 10 inches
    2. 3 feet 2 inches
    3. 3 feet 4 inches
    4. 3 feet 6 inches
    5. 3 feet 9 inches
11. To tile a patio, Herman uses packages of tile that each cover an area of 80 square feet. If the area Herman has to cover is 3,140 square feet, how many packages will he have to purchase? Mark your answer in the circles in the grid.



12. Valerie designed a circular garden. All of the large sections (light shaded) will be planted in roses. All the small sections (dark shaded) will be planted in lilies. What fraction of the garden will be planted in lilies?



   

Questions 13 and 14 refer to the following triangle.

13. What is the measure of angle PNO?
    1. 20°
    2. 30°
    3. 35°
    4. 40°
    5. 50°
14. What is the measure of angle NMO?
    1. 20°
    2. 30°
    3. 40°
    4. 50°
    5. Not enough information is given.
15. A swimming pool is 50 feet long and 30 feet wide. The pool is surrounded by a 5-foot-wide walkway. What is the area of this walkway?
    1. 90 square feet
    2. 350 square feet
    3. 450 square feet
    4. 900 square feet
    5. 1,200 square feet
16. A pile of dirt is in the shape of a cone. If the height of the pile is 4 feet and the diameter of the pile is 8 feet, what is the approximate volume of the pile?
    1. 70 cubic feet
    2. 110 cubic feet
    3. 160 cubic feet
    4. 200 cubic feet
    5. 220 cubic feet

Questions 17 and 18 refer to the following chart.

17. For the year 2000, which is the best estimate of the ratio of average rent costs in Wycoff to those in South Orange?



18. By about what percent did the rent in South Orange increase between 1980 and 2000?
    1. 10%
    2. 25%
    3. 40%
    4. 65%
    5. 80%
19. You have taken a 30-year mortgage at 6% for the amount of $100,000. Based on the following bar graph, what is the average interest paid per year?



Round the average interest to the nearest thousand. Mark your answer in the circles in the grid.



20. The profit of Two Scoops Ice-Cream Parlor by quarter is shown on the following circle graph.



How much more total profits would this business need to earn during the year to increase the average profit per quarter to $5,000?

1. $2,000
2. $1,500
3. $700
4. $500
5. $300

Questions 21 and 22 are based on the following information and table.

Sal's Pizzeria sells four types of pizzas for dinner. The table shows the pizzas ordered by customers between 8 P.M. and 9 P.M. today.

21. Expressed as a percent, what is the probability that the next pizza ordered will be pepperoni?
    1. 40%
    2. 35%
    3. 30%
    4. 20%
    5. 10%
22. How many of the next 15 pizzas ordered are likely to be cheese?
    1. 1
    2. 2
    3. 3
    4. 4
    5. 5
23. Choose a rule that tells how the numbers change in the following sequence:
    1. 1, 4, –2, 10, –14,…
    2. Multiply by –2 and then add 6.
    3. Multiply by 2 and then add 2.
    4. Add 10 and then subtract 7.
    5. Multiply by –1 and then add 5.
    6. Add 5 and then subtract 2.
24. Lysa goes to the state fair. She must pay an admission fee and buy ticket booklets for rides. Each ticket package is good for three rides. The cost of Lysa's trip to the fair is represented by the equation x = $15 + $2.25n, where n is the number of ticket packages Lysa buys. Not counting the cost of admission, how much does each ride cost?
    1. $0.75
    2. $1.50
    3. $2.25
    4. $6.75
    5. $17.25
25. The volume of a cylinder is given by the following formula: V = π × radius² × height, or V = πr²h. Ms. Beacon estimated the volume of a cylindrical can to be 124 cubic inches. She used the values r = 2 inches and h = 10 inches and estimated the value of π. What value did Ms. Beacon use for π?
    1. 3
    2. 3.1
    3. 3.14
    4. 3.18
    5. Not enough information is given.

Part II

You may NOT use a calculator for questions on this part of the test.

26. A new art exhibit was attended by 4,289 people. Round 4,289 to the nearest hundred.
    1. 4,000
    2. 4,200
    3. 4,300
    4. 4,500
    5. 5,000
27. Joey buys a journal for $2.25 and a pen for $0.75. He pays with a $10 bill. Which expression shows how to find the amount of his change?
    1. $2.25 + $75 – $10
    2. $10 – ($2.25 + $75)
    3. ($2.25 + $0.75) – $10
    4. $10 – ($2.25 + $0.75)
    5. $10 – ($2.25 – $0.75)
28. A box weighing 11.3 kilograms contains two dozen cans of canned corn. When empty, the box weighs 0.5 kilograms. Which expression gives the weight, in kilograms, of one can of corn?
    1. (11.3 + 0.5) ÷ (2 × 12)
    2. 11.3 ÷ (2 × 12) – 0.5
    3. (11.3 × 12) × 2 – 0.5
    4. 11.3 ÷ (12 × 2) – 0.5
    5. (11.3 – 0.5) ÷ (2 × 12)
29. Before he began a workout routine, Ray weighed 147 pounds. After working out for one week, his weight had dropped to 146pounds. What fraction of a pound did Ray lose? Mark your answer in the circles in the grid.



30. After being on sale for only two weeks, 63% of the television sets at Crazy Carl's were sold. Which of the following fractions is the best estimate of the fraction of the total televisions sold?

   

31. Mike needs to repair his car. Using the following graph, what is the ratio of the cost for materials to the cost for labor?



   

32. What is the approximate length of a ladybug?
    1. 1 meter
    2. 1 centimeter
    3. 10 centimeters
    4. 1 millimeter
    5. 1 liter
33. Martin arrived at the library at 10:45 A.M. He left at the time shown.



How long was Martin at the library?

1. 2 hours 45 minutes
2. 2 hours 30 minutes
3. 2 hours 15 minutes
4. 1 hour 45 minutes
5. 1 hour 30 minutes
34. Blaire earned $48 babysitting five hours on Saturday. She is scheduled to babysit three more hours on Sunday afternoon. If she is paid at the same rate, which proportion can be used to find the amount (b) Blaire will earn on Sunday?

   

35. Ramy needs to determine the distance between two cities, so he looks at a state map. He measures the distance between the cities on the map and sees that it is almost 2 inches. The map scale reads "1 inch = 15 miles." What is the distance between the cities?
    1. between 25 and 30 miles
    2. between 31 and 35 miles
    3. between 36 and 40 miles
    4. between 41 and 45 miles
    5. between 46 and 50 miles
36. What is the best estimate of the angle shown here?



1. 10°
2. 45°
3. 85°
4. 140°
5. 185°
37. What is the area in square yards of the triangular park shown here?



1. 120 square yards
2. 110 square yards
3. 100 square yards
4. 80 square yards
5. 60 square yards

Questions 38 and 39 refer to the following coordinate plane.

38. What are the signs of the coordinates of points in the shaded quadrant?
    1. x value negative, y value positive
    2. x value positive, y value negative
    3. x value negative, y value negative
    4. x value positive, y value positive
    5. none of the above
39. What coordinates are identified by point J?
    1. (–4,–3)
    2. (–4,3)
    3. (–3,–4)
    4. (3,–4)
    5. (–3,4)
40. (5,1) and (2,0) are on a graphed line. 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. (1 – 0) ÷ (2 – 2)

Questions 41–43 refer to the following coordinate plane.

41. Use the line of best fit to estimate the average height of a student who has a foot length of 10.5 inches. Mark your answer in the circles in the grid.



42. Use the line of best fit to estimate the foot length of a person who has a height of 62 inches.
    1. about 8 inches
    2. about 8.5 inches
    3. about 9 inches
    4. about 60 inches
    5. about 62 inches
43. What is the median foot length of students in the class?
    1. 8 inches
    2. 9 inches
    3. 10 inches
    4. 11 inches
    5. 12 inches
44. Of the last 15 calls to the Rivera family, 10 have been for Mr. Rivera. Of the next 6 calls, how many of the calls most likely will be for Mr. Rivera?
    1. 2
    2. 3
    3. 4
    4. 5
    5. 6
45. In Judy's math class, there are m men in a class of n students. Which expression gives the ratio of men to women in the class?

   

46. Cory bought 8 tennis balls and 12 golf balls. He spent a total of $32.50. Each tennis ball was $1.75. Which equation tells how to find g, the cost of each golf ball?
    1. 8g = $32.50 + $1.75 × 12
    2. 8g = $32.50 – $1.75 × 12
    3. 12g = $32.50 × $1.75 – 8
    4. 12g = $32.50 + $1.75 × 8
    5. 12g = $32.50 – $1.75 × 8
47. Jim and his family want to go to the beach. The cost of admission follows the pattern in the following table.



What will be the total cost for Jim and four other family members to go to the beach?

1. $7
2. $9.25
3. $9.75
4. $10.50
5. $11.50
48. In the equation y = 6p – 23, p is a positive whole number. What is the least value of p for which y is positive?
    1. 1
    2. 2
    3. 3
    4. 4
    5. 5
49. Which of the following lines contains the point (3,1)?
    1. y = 2x + 1
    2. y = 2x + 2
    3. y = ()x – 2
    4. y = ()x – 1
    5. Not enough information is given.
50. At Luna Pizza, pizza pies come in two sizes. The large size has twice the diameter of the small size. About how much more cheese topping is on the large size than on the small size? Remember, the formula for the area of a circle is area = π × radius².
    1. twice as much
    2. 2π times as much
    3. four times as much
    4. 4π times as much
    5. eight times as much

Answers

1. 

Nine out of 12 notebooks are gray.

2. d.   Rounding to the nearest hundred, (600 + 500 + 600 + 500 + 700 + 700) ÷ 6 = 600.
3. a.   $0.1165 – $0.095 = $0.0215.
4. a.  

If you use a calculator to solve this, solve for the value inside the square root sign and then take the square root.

5. d.   ($15.95 × 2) + $5.97 = $37.87. The cost of standard shipping for this order is $7.95. $37.87 + $7.95 = $45.82.
6. a.   The cost for three DVDs is $43.50. One-day shipping would be $26.95 and standard shipping would be $7.95. Find the difference: $26.95 – $7.95 = $19.00.
7. c.   1 mile = 1,760 yards (5,280 ÷ 3). 100 yards = 100 ÷ 1,760 yards/mile = 0.056818181 mile, which is about 0.06 mile.
8. d.   Let c = the number of calories in 4 ounces. Calories/ounces: = 766.666… , which is about 770.
9. d.   It is easier to solve this problem using decimals, rather than fractions or percents: $2,000 × 0.12 × 1.5 = $240 × 1.5 = $360.
10. d.   The actual length is 24 inches × = 24 × = 6 × = 42. 42 inches is also 3 feet 6 inches.
11. 

3,140 ÷ 80 = 39 . To complete the job, Herman must buy 40 packages.

12. c.   The three roses sections have 90-degree angles which, when added, total 270 degrees. Subtract the total of the roses sections from the total degrees in a circle: 360 – 270 = 90. The lily sections total 90 degrees, or of the garden.
13. d.   Angle PNO = 180 – (90 + 50) = 180 – 140 = 40°.
14. e.   Without knowing the measure of angle MNO, there is no way to know the measure of angle NMO.
15. d.   The area of the walkway equals the area of the outer rectangle minus the area of the pool. Notice that the outer rectangle has a length of 60 feet (50 + 5 + 5) and a width of 40 feet (30 + 5 + 5). The area of the walkways equals (60 × 40) – (50 × 30) = 2,400 – 1,500 = 900 square feet.
16. a.   V = × π × r² × h = × 3.14 × 42 × 4, which is about equal to 66.987 or 70 cubic feet.
17. c.   The ratio of rent in Wycoff to South Orange in 2000 = .
18. e.   Between 1980 and 2000, rent in South Orange increased from about $250 to $450. Percent increase = ($450 – $250) ÷ $250 = = 80%.
19. 

The total interest paid on a 30-year loan at 6% is about $118,000. To find the average: $118,000 ÷ 3 = $3,933, which rounds to $4,000.

20. a.   To raise the average profit per quarter to $5,000, Two Scoops Ice-Cream Parlor would need to earn a total yearly profit of $20,000. You can see above the circle graph that the total yearly profit is $18,000. $20,000 – $18,000 = $2,000.
21. a.   The probability that the next pizza will be pepperoni is , which rounds to or 40%.
22. c.   The probability that the next pizza will be cheese is , which reduces to . Of the next 15 pizzas, × 15 are likely to be cheese. × 15 = 3.
23. a.   Try this rule on the sequence and you will see that it predicts each next number in this sequence. This is not true for any of the other rules.
24. a.   A ticket package costs $2.25 and is good for three rides. A single ride costs $2.25 ÷ 3, or $0.75.
25. b.   V = π × r² × h. π = × 10 = = 3.1.
26. c.   4,289 rounded to the nearest hundred is 4,300; 289 rounds up to 300, not down to 200.
27. d.   Add the prices of what Joey bought together: $2.25 + $0.75. This total amount must be subtracted from $10.00: $10.00 – ($2.25 + $0.75).
28. e.   Subtract to find the weight of the cans and then divide by two dozen to find the weight of one can.
29. 

pound. You could solve using decimals: 147.5 – 146.75 = 0.75, which as a fraction is expressed as .

30. d.   × 100% is about 67%. You can also eliminate the other answer choices easily if you figure out that is the only fraction listed that is greater than (50%).
31. a.   Materials/labor = .
32. b.   A centimeter is about the length of a ladybug. A millimeter would be the measure of a small ant, while a meter is a little longer than a yard. Liters measure capacity, not length.
33. d.   In 45 minutes, the time will be 11:30 and, if you add one more hour, the time will be 12:30, the time shown on the clock: 45 minutes + 1 hour = 1 hour 45 minutes.
34. a.   The ratio is amount earned/number of hours worked. On Saturday, this ratio is , and on Sunday .
35. c.   The actual distance is 15 miles × = 15 × = 37.5 miles.
36. d.   The angle shown is larger than a right angle, which is 90 degrees, but less than a straight angle, which is 180 degrees.
37. a.   The formula for the area of a triangle is × base × height = × 12 × 20 = 120 square yards.
38. c.   Any coordinates in this shaded area would have negative x and y values.
39. e.   This point is three units to the left of the y-axis and four units above the x-axis.
40. d.   Slope = change in y value/change in x value = (1 – 0) ÷ (5 – 2).
41. 

Identify the point on the line of best fit that lies directly above 10.5 on the horizontal axis. This point is directly across from 69 on the vertical axis.

42. a.   Identify the point on the line of best fit that lies directly across from 62 on the vertical axis. This point is directly above 8 on the horizontal axis.
43. c.   You need to find the average of the two middle foot lengths. Both of these points are 10 inches; there are seven points to the left and seven points to the right. The median is 10 inches.
44. c.   The probability that the next call is for Mr. Rivera is (or ) × 6 = 4.
45. e.   The number of men is represented by m; the number of women is represented by n – m. The ratio of men to women can be written as the fraction .
46. e.   The cost of the tennis balls = $1.75 × 8. The cost of the golf balls = g × 12 = 12g. The cost of the golf balls is $32.50 minus the cost of the tennis balls, or 12g = $32.50 – $1.75 × 8.
47. e.   Each guest beyond the first person pays $1.75 to be admitted to the beach. For a total of five people, the total cost is $4.50 + ($1.75 × 4), or $11.50.
48. d.   When p = 3, y = 6(3) – 23 = 18 – 23 = –5. When p = 4, y = 6(4) – 23 = 24 – 23 = 1.
49. d.   Substitute x = 3 and y = 1 into the equation. Only choice d results in a true statement: 1 = ()3 – 1 = 2 – 1 = 1.
50. c.   When the diameter doubles, so does the radius. If r increases from 1 to 2 units, r² increases from 1 to 4 units. The area of a circle quadruples when r doubles.