GED Mathematics Practice Questions

C H A P T E R

45

GED
Mathematics
Practice
Questions
NOW IT’S time to put all that you have learned about mathematics
and problem solving into practice. In the following section, you will find
100 multiple-choice questions like those you will find on the GED
Mathematics Test.

Directions
Read the following questions carefully and choose the best answer for each question. Some questions may refer
to a figure, table, or graph. Be sure to answer every question; you will not be penalized for incorrect answers. Do
not spend too much time on any one question so you can be sure to complete the questions in the allotted time.
Record your answers on the answer sheet provided on the following page. Make sure you mark the answer in
the circle that corresponds to the question.
Note: On the GED, you are not permitted to write in the test booklet. Make any notes or calculations on a separate piece of paper.

423



– LEARNINGEXPRESS ANSWER SHEET –

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For questions 64, 65, 70, 71, 75, 77, 78, 83, 87, and 92, see the answer grids that follow each question.

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– GED MATHEMATICS PRACTICE QUESTIONS –

1.

4.

Danny worked 40 hours and earned $6.30 per
hour. His friend Erica earned $8.40 per hour at
her job. How many hours would Erica have to

work in order to equal Danny’s earnings for 40
hours?
a. 20
b. 25
c. 30
d. 252
e. Not enough information is given.

The gauge on a water tank shows that the tank is
1
ᎏᎏ full of water. In order to fill the tank, 16 gallons
3
of water are added. How many gallons of water
does the tank hold when full?
a. 20
b. 24
c. 30
d. 32
e. 48

Question 5 is based on the following figure.
Question 2 is based on the following figure.
A
mp
Ra

12 ft.

D

16 ft.

5.
B

2.

3.

6.

The number of students in a class is x. One day, 5
students were absent. What fractional part of the
class was present?
x
a. ᎏ5ᎏ
b.

5
ᎏᎏ
x

c.

5
ᎏᎏ
x−5
x+5
ᎏᎏ
5

x−5
ᎏᎏ
x

e.

At a luncheon, 48 half-pints of fruit juice are
served. What is the cost, at $3.50 per gallon, of
these servings of fruit juice?
a. $6.00
b. $7.00
c. $10.50
d. $12.50
e. $15.00

7.

Given the equation x2 + x − 6 = 0, which of the
following give(s) a complete solution of the
equation?
a. 2
b. 2 and −3
c. −2 and 3
d. 2 and 3
e. 3 and −3

C

᭝ABC is a right triangle, and ៮៮៮ ൿ ៮៮៮. If the
CD AB

measure of ∠CAD = 40°, what is the measure of
∠DCB?
a. 10°
b. 20°
c. 40°
d. 50°
e. 90°

d.

What is the length in feet of the ramp?
a. 13
b. 17
c. 20
d. 24
e. Not enough information is given.

427


– GED MATHEMATICS PRACTICE QUESTIONS –

Question 10 is based on the following figure.

Question 8 is based on the following figure.

3x − y

a + 2b

2a + b

2a

2x + 3y

x + 2y

a+b

8.

5x + y

What is the perimeter of the figure?
a. 6a + b
b. 5a + 5b
c. 6a + 4b
d. 3a + 5b
e. 3a + 5b

10.

What is the perimeter of the figure?
a. 11x + 5y
b. 10x + 5y
c. 11x + 4y
d. 9x − y
e. 8x + 3y

Question 9 is based on the following figure.

11.

Henry has $5 more than Oliver, and the same
amount of money as Murray. Together, they have
$85. How much money does Oliver have?
a. $10
b. $12
c. $15
d. $25
e. Not enough information is given.

A = 322 square feet

9.

23 feet

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. 28 feet
b. 37 feet
c. 45 feet
d. 60 feet
e. 74 feet

Question 12 is based on the following table.
This table gives the instructions that accompany an

income tax form.
IF YOUR TAXABLE INCOME IS:

At Least

But Not
More Than

Your Tax
Is

0

$3,499

2% of amount

$3,500

$4,499

$70 plus 3%
of any amount
above $3,500

$4,500

$7,499

$100 plus 5%

of any amount
above $4,500

$7,500

428

$250 plus 7%
of any amount
above $7,500


– GED MATHEMATICS PRACTICE QUESTIONS –

13.

How much tax is due on a taxable income of
$5,800?
a. $120
b. $135
c. $150
d. $165
e. $175
A bed and breakfast charges $48.00 per day for a
double room. In addition, there is 5% tax. How
much does a couple pay for several days’ stay?
a. $144.00
b. $151.20
c. $156.20
d. $158.40

e. Not enough information is given.

Question 16 is based on the following graph.
30
Hundreds of Dollars

12.

25
20
15
10
5

Baked
Goods

Groceries

Dairy

Produce

Meat

16.

By how many dollars do the sales in the meat
department exceed the sales in the dairy
department?

a. $100
b. $1,000
c. $1,500
d. $1,800
e. $10,000

17.

A box of cereal is priced at x cents per box. A
customer has a coupon for 15 cents off. If the
store reduces prices by doubling the value of
each coupon, how much, in cents, does the
customer pay for the box of cereal?
a. x − 15
b. x − 30
c. x + 15
d. x + 30
e. Not enough information is given.

Question 14 is based on the following figure.
A

C

B

D

14.

If ៮៮៮ is perpendicular to ៮៮៮ and m∠CBD =
AC
CB
125°, then m∠A equals
a. 15°.
b. 20°.
c. 35°.
d. 45°.
e. Not enough information is given.

15.

If the square of a number is added to the number
increased by 4, the result is 60. If n represents the
number, which equation can be used to find n?
a. n2 + 4 = 60
b. n2 + 4n = 60
c. n2 + n + 4 = 60
d. n2 + 60 = 4n + 4
e. n2 + n = 64

429


– GED MATHEMATICS PRACTICE QUESTIONS –

Question 21 is based on the following graph.

Question 18 is based on the following figure.
A

Distribution of Expenses
for Sales of $240,000
Ace Manufacturing Company

ЄA:ЄB:ЄC = 3:2:1

B
Labor
40%

Raw
Materials
33 %

C

18.

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. 65°
b. 70°
c. 72°
d. 80°
e. 90°

Operating
Expenses

20%

Net
Profit
6 %

21.

How many dollars were spent for labor?
a. $4,800
b. $9,600
c. $48,000
d. $96,000
e. $960,000

22.

The distance between two heavenly bodies is
63,150,000,000 miles. What is the number
expressed in scientific notation?
a. 631.5 × 108
b. 63.15 × 109
c. 6315 × 107
d. 6.315 × 1010
e. 6.315 × 10−10

Question 19 is based on the following figure.
E
D

1
C

2
A

3
B

19.

If m∠1 = 36° and m∠2 = 2(m∠3), then m∠3
equals
a. 36°.
b. 40°.
c. 44°.
d. 48°.
e. Not enough information is given.

20.

Ms. Klein bought 4 pounds of beef and 3ᎏ1ᎏ
2
pounds of chicken for $13.98. If the beef cost
$2.76 per pound, what was the cost of the
chicken per pound?
a. $0.72
b. $0.80
c. $0.84
d. $0.87

e. $0.92

430


– GED MATHEMATICS PRACTICE QUESTIONS –

Question 23 is based on the following graph.

Question 26 is based on the following graph.

y

A (5,4)

B (0,3)

Materials
$40

Salaries
$30

x

0

Profit
?
Taxes

$11

23.

What is the slope of the line passing through
points A (5,4) and B (0,3)?
a. ᎏ1ᎏ
10

Insurance
$5
Misc.
$6

c.

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. $5
b. $6
c. $7
d. $7.5
e. $8

27.

Nick scored 7 more points than Josh in a basketball game. Paul scored 2 points less than Josh in
the same game. If the three boys scored a total of
38 points, how many points did Josh score?

a. 5
b. 9
c. 11
d. 14
e. 15

28.

b.

26.

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. 5h2 = 200
c. 25h = 200
d. h = 200 ÷ 5
e. h = 5(200)

1
ᎏᎏ
5
3
ᎏᎏ
5
4

ᎏᎏ
5

d.
e. 5
24.

1 kilometer =
a. 10 meters
b. 100 meters
c. 1,000 centimeters
d. 10,000 centimeters
e. 1,000,000 millimeters

Question 25 is based on the following figure.
A

60′

B
48′

E

80′

D

25.

C

To measure the distance (DC) across a pond, a
surveyor takes points A and B so that ឈ៮៬ is parAB
ឈ៮៬ ឈ៮៬
ឈ៮៬
ឈ៮៬
allel to DC. If AB = 60 feet, EB = 48 feet, and ED
ឈ៮៬.
= 80 feet, find DC
a. 72 ft.
b. 84 ft.
c. 96 ft.
d. 100 ft.
e. Not enough information is given.
431


– GED MATHEMATICS PRACTICE QUESTIONS –

Question 29 is based on the following figure.
A
0

29.

1

B C
2

D
3

33.

E
4

5

Which point on the number line represents the
closest approximation to the square root of 12?
a. A
b. B
c. C
d. D
e. E

On a road map, ᎏ1ᎏ inch represents 8 miles of
4
actual road distance. The towns of Alton and
Waverly are represented by points 2ᎏ1ᎏ inches
8
apart on the map. What is the actual distance, in
miles, between Alton and Waverly?
a. 17
b. 32
c. 40
d. 60

e. 68

Question 34 is based on the following figure.
Question 30 is based on the following figure.

4 units

25′

15′

20′

8 units
10′

30.

31.

The diagram represents a large living room.
What is the area, in square yards, of the room?
a. 16.6
b. 33.3
c. 45
d. 50
e. 450
If 1 dollar is worth x French francs, what is the
value, in dollars, of y French francs?
a. xy

b. ᎏxᎏ
y
c.

y
ᎏᎏ
x
1
ᎏᎏ
xy

34.

What is the area, in square graph units, of the
triangle?
a. 8
b. 10
c. 16
d. 32
e. 48

35.

At a certain time of day, a man 6 feet tall casts a
shadow 4 feet in length. At the same time, a
church steeple casts a shadow 28 feet in length.
How high, in feet, is the church steeple?
a. 30
b. 32
c. 42

d. 48
e. 56

d.
e. x + y
32.

Evaluate y 2(4x − y) if y = −2 and x = 8.
a. −18
b. 18
c. 86
d. 96
e. 136

432


– GED MATHEMATICS PRACTICE QUESTIONS –

40.

A house and a lot cost $120,000. If the house cost
three times as much as the lot, how much did the
house cost?
a. $30,000
b. $40,000
c. $60,000
d. $90,000
e. $100,000

41.

Joan borrowed $1,300 to buy tools for her job as
an auto mechanic. The loan is for one year and
six months at 9% simple interest. Which of the
following expressions could be used to find the
amount she will pay back at the end of the loan
period?
a. $1,300 × 1.5 × 0.09
b. $1,300 × 1.6 × 0.09
c. $1,300 × 1.5 × 9
d. $1,300 + ($1,300 × 9 × 1.5)
e. $1,300 + ($1,300 × 0.09 × 1.5)

42.

Norm borrows $8,000 for five years to make
improvements to his home office. If the simple
interest rate is 13%, how much will he pay in
interest?
a. $5,200
b. $4,000
c. $1,040
d. $420
e. $400

43.

The solution x = −5 makes which of the following equations true?
a. 14 − x = 9

x
b. ᎏ5ᎏ = 1
c. x + 3 = 8
30
d. ᎏxᎏ = 6
e. 12x = −60

44.

Questions 36 through 38 are based on the following
information.

Marc had $572.18 in his checking account. After
writing a check, he had $434.68. Which of the
following equations could be used to find the
amount of the check (c)?
a. $572.18 + c = $434.68
b. $572.18 − c = $434.68
c. $572.18c = $434.68
d. $572.18 − 2c = $434.68
e. $434.68 + c = $572.18

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

20 ft.

3 ft.
30 ft.

36.

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. (23)(33)
b. (26)(36)
c. (23)(33) − (20)(30)
d. (26)(36) − (20)(30)
e. (26)(36) − (23)(33)

37.

If the depth of the pool is 6 feet, what volume of
water, in cubic feet, is needed to fill the pool?
a. 56
b. 300
c. 600
d. 3,000
e. 3,600

38.

What is the total area, in square feet, of the pool
and the walkway?
a. 50
b. 62
c. 759
d. 936

e. Not enough information is given.

39.

Evaluate (6 ì 105) ữ (4 × 103).
a. 20
b. 100
c. 150
d. 1,500
e. 2,000

433


– GED MATHEMATICS PRACTICE QUESTIONS –

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. $18
b. $15
c. $12
d. $9
e. $6

47.

Max needs to ship six identical packages, each
weighing 3 lb. 12 oz. What is the total weight of
the shipment?

a. 19 lb. 2 oz.
b. 22 lb. 5 oz.
c. 22 lb. 8 oz.
d. 24 lb. 12 oz.
e. 25 lb. 2 oz.
In a theater audience of 650 people, 80% were
adults. How many children were in the audience?
a. 130
b. 150
c. 450
d. 500
e. 520

52.

Ken earned x dollars at his part-time job on Friday. His wife earned $12 more than twice Ken’s
pay (2x + 12). Together, they earned $174. How
much did Ken earn on Friday?
a. $54
b. $87
c. $108
d. $120
e. $162

46.

50.

51.

45.

On a certain map, 1 inch represents 60 miles. If
two towns are 255 miles apart, what is the distance, in inches, between the towns on the map?
a. 4
b. 4ᎏ1ᎏ
4

What is the median value of $268, $1,258, $654,
$1,258, $900, $1,558, and $852?
a. $1,258
b. $960
c. $900
d. $913
e. $852

c. 4ᎏ1ᎏ
2
d. 4ᎏ5ᎏ
6
e. 4ᎏ7ᎏ
8

48.

What is the mode of the following: 14, 17, 14, 12,
13, 15, 22, and 11?
a. 13.5
b. 14
c. 14.75

d. 16.5
e. Not enough information is given.

49.

Charlie borrowed $1,500 from his aunt. He plans
to pay his aunt back in nine months. If he pays
4% interest on the loan, what is the total amount
he will pay back in nine months?
a. $540
b. $1,455
c. $1,545
d. $1,560
e. $2,040

53.

A carpenter has a board 4 feet 3 inches in length.
He cuts off a piece 2 feet 8 inches in length. The
length of the piece that is left is
a. 1 ft. 5 in.
b. 1 ft. 7 in.
c. 2 ft. 7 in.
d. 2 ft. 5 in.
e. 2 ft. 3 in.

54.

A cardboard crate is 5 feet long, 3 feet wide, and
2 feet tall. What is its holding capacity?

a. 45 ft.3
b. 37 ft.3
c. 9 ft.3
d. 30 ft.3
e. 10 ft.3

434


– GED MATHEMATICS PRACTICE QUESTIONS –

Questions 55 through 57 are based on the following graph.

Question 58 is based on the following figure.

Paint Sales at Carolyn’s Hardware
20

A

Number of Gallons

18
16
14
12

O

70°

10
8

B

6
4
2
M

55.

T

W
Th
F
Days of the Week

Sa

Su

How many gallons of paint were sold on
Wednesday?
a. 3
b. 4
c. 5
d. 6

e. 7

56.

What was the total amount, in gallons, of paint
sold by the store that week?
a. 20
b. 25
c. 30
d. 60
e. Not enough information is given.

O is the center of the circle, and the measure of
∠O is 70°. What is the measure of ∠OAB?
a. 55°
b. 60°
c. 70°
d. 70°
e. 75°

59.

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. 31
c. 32

d. 35
e. 39

60.

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. 15
c. 16
d. 18
e. 120

How much more paint was sold on Saturday
than on Monday?
a. 6 gallons
b. 8 gallons
c. 10 gallons
d. 11 gallons
e. 12 gallons

57.

58.

435

– GED MATHEMATICS PRACTICE QUESTIONS –

Questions 61 and 62 refer to the following graph.

Question 64 refers to the following graph.

Rico’s Beauty Supply
Total Sales—March

140

B

Dollars (in thousands)

120

A

100
80
60

64.

40
20
0

61.

62.

Catalog Sales

In-Store Sales

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. $35,000
b. $65,000
c. $130,000
d. $195,000
e. $650,000

/

c.
a.
d.

/

/

•

•

•

•

0

0

0

0

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9

9

9

9

9

•

Approximately what fraction of the company’s
total sales came from in-store sales?
a. ᎏ2ᎏ
3
b.

63.

Online Sales

What is the slope of the line that passes through
points A and B on the coordinate graph? Mark
your answer on the grid below.

1
ᎏᎏ
3
1
ᎏᎏ
2
1
ᎏᎏ
4
1
ᎏᎏ
6

Josh needs to replace the boards on a 22-foot
section of his fence. If the boards are 5ᎏ1ᎏ inches
2
wide, how many boards should he buy to cover
the distance?
a. 4
b. 33
c. 48
d. 66
e. 121

436


– GED MATHEMATICS PRACTICE QUESTIONS –

What is the value of the expression 3(2x − y) +
(3 + x)2, when x = 4 and y = 5? Mark your
answer in the circles in the grid below.

/

/
•

•

0

0

1

1

1

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2

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66.

Patricia wants to order business cards. A printing
company determines the cost (C) to the customer using the following function, where b =
the number of boxes of cards and n = number of
ink colors.
C = $25.60b + $14.00b(n − 1)
If Patricia orders 4 boxes of cards printed in 3
colors, how much will the cards cost?
a. $214.40
b. $168.00
c. $144.40
d. $102.40
e. $56.00

1

2

A bag contains 12 red, 3 blue, 6 green, and 4 yellow marbles. If a marble is drawn from the bag at
random, what is the probability that the marble
will be either blue or yellow?
a. 7%
b. 12%
c. 16%
d. 25%
e. 28%

0

1

68.

•

0

At the end of baseball season, 5% of the children
enrolled in a local youth baseball program will
be chosen to play in the state tournament. If 12
children will be chosen to play in the tournament, how many children are enrolled in the
program?
a. 24
b. 60
c. 120
d. 240
e. 600

/

•

67.

69.

65.

The dimensions of Box B, shown below, are
twice the length of the corresponding dimensions on Box A (not shown).

6

B

3
4

a. The volume of Box A is greater than the
volume of Box B.
b. The volume of Box B is twice the volume of
Box A.
c. The volume of Box B is three times the
volume of Box A.
d. The volume of Box B is four times the volume
of Box A.
e. The volume of Box B is eight times the
volume of Box A.

437


– GED MATHEMATICS PRACTICE QUESTIONS –

70.

Andrea bought a used mountain bike for $250.
She gave the bike a new paint job; replaced the
tires, chain, and gear assembly; and sold the bike
for 150% of the price she paid. For what
amount, in dollars, did she sell the bike? Mark
your answer in the circles in the grid below.

/

/
•

•

•

0

0

0

0

1

1

1

1

1

2

2

2

2

3

3

3

4

4

5

Ajani finds that the distance between two landmarks on a map is 6ᎏ1ᎏ inches. If the map scale
2
reads ᎏ3ᎏ inch = 120 miles, what is the actual dis4
tance, in miles, between the two landmarks?
Mark your answer in the circles in the grid
below.

/

•

71.

/

/

/

•

•

•

•

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0

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9

9

9

9

9

9

•

•

72.

Which of the following is a graph of the inequality −2 ≤ x < 4?
a. −5 −4 −3 −2 −1 0 1 2 3 4 5
b.
c.

−5 −4 −3 −2 −1 0 1 2 3 4 5

d.

−5 −4 −3 −2 −1 0 1 2 3 4 5

e.

438

−5 −4 −3 −2 −1 0 1 2 3 4 5

−5 −4 −3 −2 −1 0 1 2 3 4 5

– GED MATHEMATICS PRACTICE QUESTIONS –

50

12

76.

What was Edmundo’s mean score for a round of
golf in August if his scores for each round were
78, 86, 82, 81, 82, and 77?
a. 77
b. 78
c. 81
d. 82
e. 84

77.

Questions 73 and 74 are based on the following figure.

In quadrilateral ABCD, side AB is parallel to side
CD. Sides AD and BC are not parallel. What is the
area of the figure to the nearest square centimeter?

A

x

104

3

4

B

Lines A and B are parallel.
73.

What is the measure of ∠4?
a. 50°
b. 76°
c. 126°
d. 130°
e. 104°

A
3c

m

D
6 cm

2.5 cm

2 cm
C

74.

75.

What is the value of x?
a. 54°
b. 76°
c. 126°
d. 130°
e. Not enough information is given.

3.

6

cm

B

Mark your answer in the circles in the grid below.

On a coordinate plane, a vertical line is drawn
through the point (−3,4). On the same plane, a
horizontal line is drawn through the point
(2,−1). At what point on the plane will the two
lines intersect? Mark your answer on the coordinate grid below.

/

/

•

•

•

•

0

0

0

0

1

1

1

1

1

6

2

2

2

2

2

5

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3

4

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3

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2

6

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6

1
−6 −5 −4 −3 −2 −1

/

7

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9

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9

0

1

2

3

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•

6

−1
−2
−3
−4
−5
−6
439


– GED MATHEMATICS PRACTICE QUESTIONS –

78.

A display of canned yams has a sign that reads
“5 cans for $3.” At the same rate, how much
would the store charge, to the nearest whole cent,
for 8 cans? Mark your answer in the circles in the
grid below.

/

/
•

•

•

0

0

0

1

1

1

2

2

2

2

3

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•

79.

21 ft.

1

2

Hallway

0

1

24 ft.

/

•

Question 80 refers to the following diagram.

7 ft.

Bedroom

14 ft.

80.

The Wrights plan to carpet their bedroom and
the adjoining hallway as shown in the diagram.
What is the area of the bedroom and hallway in
square feet?
a. 147
b. 336
c. 294
d. 364
e. 504

81.

One number is 12 more than 3 times another
number. The sum of the 2 numbers is −20. What
are the numbers?
a. −2 and −18
b. −4 and −16
c. −5 and −15
d. −6 and −14
e. −8 and −12

A plastic pipe, 5 feet 9 inches long, is cut into
three equal pieces. Assuming no waste when the
cuts are made, what is the length of each piece?
a. 1 ft. 6 in.
b. 1 ft. 8 in.
c. 1 ft. 9 in.
d. 1 ft. 11 in.
e. 2 ft.

440


– GED MATHEMATICS PRACTICE QUESTIONS –

Other
12%
Credit
Card
Bills
24%

84.

The graph of the equation y = −ᎏ3ᎏ x + 1 is a line
4
that passes through points C and D on the coordinate plane. Which of the following points also
lies on the graph of the equation?
a. (2,0)
b. (3,−1)
c. (5,−3)
d. (8,−5)
e. (10,−6)

85.

Questions 82 and 83 refer to the following graph.

The sum of three consecutive even integers is 90.
What is the greatest number in the series?
a. 26
b. 28
c. 30
d. 32
e. 34

86.

The three interior angles of ᭝JKL measure 45°,
45°, and 90°. The three interior angles of ᭝PQR
measure 45°, 45°, and 90°. The side JK of JKL

measures 4 cm. Based on the given information,
which of the following must be a true statement?
a. ᭝JKL and ᭝PQR are acute triangles.
b. One side of ᭝PQR measures 4 cm.
c. The perimeter of ᭝JKL is 12 cm.
d. ᭝JKL and ᭝PQR are congruent triangles.
e. ᭝JKL and ᭝PQR are similar triangles.

Housing
27%

Food
28%
Transportation
4%
Clothing
5%

The Kleins are trying to pay off their credit card debt,
so they developed the following budget based on their
monthly take-home pay.
82.

83.

If the Kleins’ monthly take-home pay is $2,500,
about how much do they plan to pay each
month on their credit card debt?
a. $600
b. $450

c. $300
d. $240
e. Not enough information is given.
What fraction of the Kleins’ monthly take-home
pay goes toward clothing? Mark your answer on
the circles in the grid below.

/

/

/

•

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•

•

0

0

0

0

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•

441


– GED MATHEMATICS PRACTICE QUESTIONS –

87.

A parallelogram is drawn on a coordinate grid so
that three vertices are located at (3,4), (−2,4),
and (−4,1). At what coordinates should the
fourth vertex be located? Mark your answer on
the coordinate grid below.
6
5
4

Questions 89 and 90 refer to the following information.
1.85
1.80
1.75
1.70
1.65
1.60
1.55
1.50
1.45
1.40

West Coast

Midwest
East Coast

April
16

3

April
23

April
30

May
7

2

89.

1
−6 −5 −4 −3 −2 −1

0

1

2

3

4

5

On what date and in what location was there the
greatest jump in the price of gasoline from one
week to the next?
a. April 23 on the West Coast
b. April 30 in the Midwest
c. April 30 on the West Coast
d. May 7 on the East Coast
e. May 7 in the Midwest

90.

Based on the information in the graph, which of
the following is the best prediction of the price
per gallon of gasoline on the West Coast for the
week following May 7?
a. $1.64
b. $1.71
c. $1.76
d. $1.82
e. $1.86

91.

Chikita made three long-distance calls. According to her phone bill, the calls were 19 minutes,

24 minutes, and 8 minutes in length. If Chikita
pays 9 cents per minute on all long-distance
calls, how much was she billed for the three calls?
a. $2.70
b. $4.59
c. $5.10
d. $13.77
e. $15.30

6

−1
−2
−3
−4
−5
−6

88.

Eight athletes ran a 1 mile race. The winner’s
time was 4 minutes 8 seconds. If the median
time was 4 minutes 48 seconds, what was the
time of the athlete who finished last?
a. 5 min. 28 sec.
b. 5 min. 4 sec.
c. 4 min. 46 sec.
d. 4 min. 28 sec.
e. Not enough information is given.

442


– GED MATHEMATICS PRACTICE QUESTIONS –

92.

Maggie and Christian decided to share the cost
of buying their friends a wedding gift. Maggie
put in $20 less than twice the amount that Christian contributed. Together, they spent $94. How
many dollars did Maggie contribute toward the
gift? Mark your answer on the grid that follows.

/

/
•

•

25 ft.

/

•

Question 94 refers to the following diagram.

90°

•

•
9 ft.

0

0

0

0

1

1

1

1

1

2

2

2

2

2

3

3

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4

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5

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7

7

7

7

7

8

8

8

8

8

9

9

9

9

9

The Northridge Quakers have won 20 games and
lost 15. What is the ratio of games won to game
played?
a. 3:4
b. 3:7
c. 4:3
d. 4:7
e. 4:10

To set up a tent, workers place a 25-foot pole in
the center of a grassy area as shown in the diagram. A bracing wire is attached to the top of the
pole and to a stake 9 feet from the base of the
pole. Which of the following represents the
length of the bracing wire?
a. ͙1,156
ෆ
b. ͙706

ෆ
c. ͙625
ෆ
d. ͙256
ෆ
e. ͙34
ෆ

95.
93.

94.

What is the value of the expression
−3 × 52 + 2(4 − 18) + 33?
a. −130
b. −76
c. −20
d. 74
e. 130

96.

The lengths of the sides of ᭝ABC are 6 inches, 8
inches, and 10 inches. Which of the following
conclusions must be true?
a. ∠C is a right angle.
b. ᭝ABC is an acute triangle.
c. ᭝ABC contains one obtuse angle.
d. ∠A is an acute angle.

e. m∠A + m∠B + m∠C = 180°.

443


– GED MATHEMATICS PRACTICE QUESTIONS –

97.

Two sides of a triangle measure 6 and 10 inches.
If the triangle is a right triangle, which of the following could be the measure, in inches, of the
third side?
a. 4
b. 6
c. 8
d. 10
e. 12

1 2
4 3
5 6
8 7

T

SʈT

98.

m∠1 = 77

The floor of a walk-in closet measures 7 feet by 4
feet. If the ceiling height is 8 feet, what is the volume in cubic feet of the closet?
a. 28
b. 56
c. 112
d. 168
e. 224

100. In a right triangle, the hypotenuse measures 15
inches. If one leg of the triangle measures 6
inches, which of following equations could be
used to find the length of the other leg (x) in
inches?
a. x = ͙15 + 6
ෆ
b. x = ͙15 − 6
ෆ
c. x = 15 − 6
d. x2 = 152 + 62
e. x2 = 152 − 62

Question 98 refers to the figure below.

S

99.

9 10
11 12

13 14
16 15

m∠10 = 95

Classify the figure containing interior angles 3, 6,
11, and 13.
a. scalene triangle
b. trapezoid
c. parallelogram
d. rectangle
e. square

444


– GED MATHEMATICS PRACTICE QUESTIONS –

Answers and Explanations

7. d. If x is replaced by the answer choices, only 2 and
−3 make the expression true.
(2)2 + 2 − 6 = 0
(−3)2 + −3 − 6 = 0
4 + −4 = 0
9 + −3 − 6 = 0
9 + −9 = 0
0=0
0=0

1. c. Danny earned a total of 40($6.30) = $252. To
find the number of hours Erica would take to
earn $252, divide $252 by $8.40.
2.

A

8.

a + 2b

2a + b

2a
D

a+b

B

c. To find the perimeter of the figure, find the sum
of the lengths of its sides.
2a + a + b + 2a + b + a + 2b = 6a + 4b

C

c. Since m∠ACB = 90° and m∠CAD = 40°, then
m∠B = 180 − 90 − 40 = 50°. In BCD, m∠CDB =
90° and m∠B = 50°. Therefore, m∠DCB =
180 − 90 − 50 = 40.

9.

A = 322 square feet

3. e. If the class has x students and 5 students are
x−5
absent, then x − 5 students are present: ᎏ5ᎏ
4. b. If the tank is ᎏ1ᎏ full, it is ᎏ2ᎏ empty. Let x = the
3
3
capacity of the tank; ᎏ2ᎏ x = 16, so x = 16 ữ 2 =
3
3
16 ì 3 = 24.
2

23 feet

e. Let x = the width of the room; 23x = 322; x =
322 ÷ 23 = 14. Perimeter = 23 + 14 + 23 + 14 =
74 feet.

5.
10.
mp
Ra

12 ft.

3x − y

2x + 3y

x + 2y

16 ft.

5x + y

c. Let x = the length of the ramp. Use the
Pythagorean theorem to obtain the equation:
x2 = 122 + 162 = 144 + 256 = 400
x = ͙400 = 20
ෆ

a. The perimeter of the figure is
x + 2y + 3x − y + 2x + 3y + 5x + y = 11x + 5y.

6. c. 48 half-pints = 24 pints. Since 8 pt. = 1 gal.,
24 pt. = 3 gal., 3($3.50) = $10.50.

445


– GED MATHEMATICS PRACTICE QUESTIONS –

14.

11. d. Set up an equation with Oliver’s money as the

unknown, and solve. Oliver = x, Henry = 5 + x,
and Murray = 5 + x. Therefore,
x + 2(5 + x) = 85
x + 10 + 2x = 85
3x + 10 = 85
3x = 75
x = 25
12.

A

IF YOUR TAXABLE INCOME IS:

At Least

But Not
More Than

B

C

Your Tax
Is

0

$3,499

2% of amount

$3,500

$4,499

$70 plus 3%
of any amount
above $3,500

$4,500

$7,499

D

$100 plus 5%
of any amount
above $4,500

$7,500

c. m∠CBD = 125
m∠ABC = 180 − 125 = 55
m∠A + m∠ABC = 90
m∠A + 55 = 90
m∠A = 90 − 55 = 35
15. c. Let n = number. Then n2 = square of a number,
and n2 + n + 4 = 60.

$250 plus 7%

of any amount
above $7,500

16.
30
Hundreds of Dollars

d. $5,800 − $4,500 = $1,300. Tax is $100 + 5% of
$1,300 = 100 + 0.05(1,300) = 100 + 65 = $165.
13. e. You cannot compute the cost unless you are told
the number of days that the couple stays at the
bed and breakfast. This information is not
given.

25
20
15
10
5

Baked
Goods

Groceries

Dairy

Produce

Meat

b. Meat department sales = $2,500
Dairy department sales = $1,500
Difference = $1,000
17. b. Because the coupon has double value, the
reduction is 2(.15) = 30 cents. The cost of the
cereal is x − 30 cents.

446


– GED MATHEMATICS PRACTICE QUESTIONS –

18.

21.

A

ЄA:ЄB:ЄC = 3:2:1

Raw
Materials
33 %

Labor
40%

B

Operating
Expenses
20%

Net
Profit
6 %

C

e. Let x, 2x, and 3x be the measures of the three
angles. Then:
x + 2x + 3x = 180
6x = 180
x = 180 ÷ 6 = 30
3x = 3(30) = 90
19.

E
D

1
C

2

22. d. To express a number in scientific notation,
express it as the product of a number between 1
and 10 and a power of 10. In this case, the number between 1 and 10 is 6.315. In going from
6.315 to 63,150,000,000, you move the decimal

point 10 places to the right. Each such move
represents a multiplication by 1010 and
63,150,000,000 = 6.315 × 1010.
23.

3

A

d. Forty percent of the total expenses of $240,000
went for labor: 0.40($240,000) = $96,000.

y

B

d. Let x = m∠3 and 2x = m∠2
m∠1 + m∠2 + m∠3 = 180
36 + 2x + x = 180
3x + 36 = 180
3x = 180 − 36 = 144
x = 144 ÷ 3 = 48 degrees

B (0,3)

0

20. c. The beef costs 4($2.76) = $11.04. The chicken
costs $13.98 − $11.04 = $2.94. To find the cost
per pound of chicken, divide $2.94 by 3ᎏ1ᎏ or by

2
7
7
2
ᎏᎏ; 2.94 ÷ ᎏᎏ = 2.94 × ᎏᎏ = 0.84.
2
2
7

A (5,4)

x

y −y

1
2
b. Slope = ᎏᎏ; in this case, y1 = 4, y2 = 3, x1 = 5,
x1 − x2
4−3
and x2 = 0. Slope = ᎏᎏ = ᎏ1ᎏ.
5−0
5

24. e. 1 km = 1,000 m and 1 m = 100 cm. So 1 km =
100,000 cm and 1 km = 1,000,000 mm.

447