FP1
HiSET Mathematics
TM
Practice Test
Copyright 2013 Educational Testing Service. All rights reserved. ETS and the ETS logo are registered
trademarks of Educational Testing Service (E T S) in the United States and other countries. HiSET is
a trademark of E T S. Test items from THE IOWA TESTS OF EDUCATIONAL DEVELOPMENT
copyright 2001, 2003, 2007 by The University of Iowa. All rights reserved. Used under license from
Houghton Mifflin Harcourt. THE IOWA TESTS is a registered trademark of Houghton Mifflin Harcourt
Publishing Company.
Directions
This is a test of your skills in applying mathematical concepts and solving mathematical
problems. Read each question carefully and decide which of the five alternatives best
answers the question. Then mark your choice on your answer sheet.
There are relatively easy problems scattered throughout the test. Thus, do not waste time
on problems that are too difficult; go on, and return to them if you have time.
Work as quickly as you can without becoming careless. Dont spend too much time on
any question that is difficult for you to answer. Instead, skip it and return to it later if you
have time. Try to answer every question even if you have to guess.
Mark all your answers on the answer sheet. Give only one answer to each question and
make every mark heavy and dark, as in this example.
If you decide to change one of your answers, be sure to erase the first mark completely.
Be sure that the number of the question you are answering matches the number of the row
of answer choices you are marking on your answer sheet.
-3-
Mathematics
Time45 minutes
25 Questions
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-4-
1 A used motorcycle can be purchased for 4 The following graph shows the sales
$500 cash or on credit with a $200 down figures for a toy company since it
payment plus payments of $70 per month opened 10 years ago.
for 5 months. How much would be saved
by paying cash? Toy Sales
0.9
A $50
Dollars in Millions
B $150 0.8
C $200
0.7
D $350
E $550 0.6
0.5
2 A solution of salt water is made by 1 2 3 4 5 6 7 8 9 10
dissolving 2 grams of salt in 1 liter of Year
water. Which of the following would yield According to the graph, what was the
a solution with the same concentration? approximate dollar value of sales in
1 the companys 9th year of business?
A Dissolving gram of salt in 2 liters
of water 2 A $75,000,000
1 1 B $7,500,000
B Dissolving gram of salt in liter
of water 2 2 C $750,000
1 D $75,000
C Dissolving 1 gram of salt in liter
2 E $7,500
of water
D Dissolving 1 gram of salt in 2 liters 5 Consider the graphs below.
of water
1 y U
E Dissolving 2 grams of salt in liter
of water 2 T
S
3 An appliance store uses the following
formula to set its selling prices. ITED A Q 102 toy sales
Price = (actual cost) + (25 percent of actual cost) R
Q
If the actual cost of a refrigerator
x
is $800, what price will the store set
for the refrigerator? Although the numbers are not included
on either axis, it is possible to determine
A $200 from shape and location that the equation
B $600 y = 1.2 x + 4 corresponds to graph
C $800
D $1,000 A Q.
E $1,400 B R.
C S.
D T.
E U.
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-5-
Directions: Questions 6 through 11 are based on the information below.
A city is going to build a new swimming pool at the recreation center. The illustration below shows the plans for
the pool.
70 m
50 m
20 m
30 m
Tile
6 Assuming that the pool is 10 feet deep, 8 The Recreation Department wants
approximately how many cubic meters to put in swim lanes along the length
of water will this pool hold when filled? of the pool. If each swim lane must
( 3.3 feet 1 meter ) be 8 feet wide, which of the following
represents the best estimate for the
A 1,000 number of swim lanes there can be in
B 3,000 the pool ( 3.3 feet 1 meter )?
C 10,000
A 20 8
D 30,000
B (203.3) 8
E 100,000
C 20 (3.38)
D 50 (83.3)
7 If one box of tiles covers 10 square E (503.3) 8
meters, which of the following
represents the number of boxes
required to cover the designated
area around the pool with tile? 9 To maintain water purity, each week
1
1 kilograms of a certain chemical
A (7030) 10 2
B 703010 should be added for each million liters
C (5020) 10
of water. If the pool contains
D [(70 30) (50 20)] 10
E [(70 30) (50 20)] 10 2.5 million liters of water, how many
kilograms of the chemical should be
added each week?
A 1.5
B 2.25
C 2.5
D 3.0
E 3.75
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-6-
10 It is estimated that construction of 12 The relationship between rate of
this pool area will cost $75,000. A large speed (r), distance traveled (d), and time
corporation donated $35,000 toward traveled (t) is given by the following
the construction of the pool, and an equation.
additional $2,000 was earned during
d
a local fund-raising activity. If 20 local r=
businesses agree to donate the rest t
of the money, which of the following If rate remains constant, which of the
represents the average amount each following must be true?
business will have to contribute?
A When t remains constant, d increases.
A $75, 000 $37, 000
B When t decreases, d remains constant.
B ($75, 000 $2, 000) 20
C When t decreases, d increases.
C 20 ($75, 000 $37, 000)
D When t increases, d decreases.
D $75, 000 20
E When t decreases, d decreases.
E ($75, 000 $37, 000) 20
13 Consider the equation 2 x 3 = 4.
11 A larger diagram of the proposed To solve the equation for x, what would
swimming pool area will be presented be the most logical first step?
to the city council. If each inch on
that diagram represents 5 meters of A Add 3 to both sides of the equation.
actual distance, what are the overall B Subtract 3 from both sides of the equation.
dimensions of the pool area (including C Divide both sides of the equation by 2.
the tile area) in the diagram?
D Multiply both sides of the equation by 2.
A 4 inches by2 inches E Subtract 4 from both sides of the equation.
B 10 inches by4 inches
C 14 inches by6 inches
D 250 inches by100 inches
14 A tank for mixing chemical solutions is
1.5 meters long, 0.6 meters wide, and
E 350 inches by150 inches 1.5 meters deep. Which of the following
represents the maximum number of
cubic meters of solution this tank
will hold?
A (1.5 + 0.6) 1.5
B (1.5 + 1.5) 0.6
C 1.5 0.6 1.5
1.5 1.5
D
0.6
E 1.5 + 0.6 + 1.5
GO
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PAGE
-7-
Directions: Questions 15 through 17 are based on the graph below, which shows the percentages of the
Earths surface at various elevations.
Percentage of Earths Crustal Surface
at Various Elevations
5,000
4,000
3,000
2,000
Elevation (meters)
1,000
Sea 0
Level
5 10 15 20 25
-1,000 Percentage of Earths Surface
-2,000
-3,000
-4,000
-5,000
-6,000
-7,000
15 Approximately what percentage of the 17 Which of the following best
Earths surface is at or above sea level? approximates the difference between
the highest elevations and the lowest
A 22% elevations of the Earths crustal
B 30% surface? (1, 000 m = 1 km)
C 50%
A 12 km
D 60%
B 8 km
E 100%
C 7 km
D 5 km
16 Which of the following elevation E 2 km
intervals contains the highest
percentage of the Earths crustal
surface?
A 0 to 1,000
B 1,000 to 0
C 4,000 to 3,000
D 5,000 to 4,000
E 6,000 to 5,000
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-8-
18 Consider the circle graph below. 19 If the temperature at 8:00 a.m. was 22F,
and at 4:00 p.m. the same day, it was 2F,
Land and Water Areas on Earth
what was the average temperature decrease
Indian Ocean per hour during this period?
Land Area
A 2F
B 2.5F
Atlantic C 3F
Ocean
D 5F
E 6F
Other
Water
20 Each month a lawn-care company
Pacific Ocean sprays for weeds in 500 different
If the measure of the arc associated yards. Last month, to determine the
with the Pacific Ocean is approximately effectiveness of its herbicide, the
125, which of the following represents company randomly selected 50 lawns
the proportion of Earths surface that is for inspection. Of the lawns selected,
covered by the Pacific Ocean? 40 showed 5 or fewer weeds. Which of
the following could the lawn company
125 conclude with the greatest certainty?
A
360 125
A Exactly 80% of the lawns sprayed last
360 125 month have 5 or fewer weeds.
B
360 B At least 80% of the lawns sprayed last
month have exactly 5 weeds.
360 125
C C More than 80% of the lawns sprayed last
125 month have 5 or more weeds.
360 D It is very likely that more than half of
D the lawns sprayed last month have 5 or
125 fewer weeds.
125 E It is very likely that more than half of
E the lawns sprayed last month have at
360
least 5 weeds.
21 Which of the following correctly
expresses x yards, y feet, and
z inches in terms of inches?
A 36x +12y + z
B x +12y +36z
C 36x +36y + z
D x +36y +36z
E x +36y +12z
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-9-
22 A fence encloses a rectangular field 24 The diagram below shows a coordinate
measuring 300 feet by 100 feet. A cow is grid. What are the coordinates of the
tied to a fence post at one corner of the point where the graph of y = 4 x + 8
field. If the rope is 50 feet long, which intersects the x-axis?
of the following represents the grazing
area of the cow inside the fence in square y
feet?
8
Area of a circle = ( radius) 2
6
Area of a rectangle = length times width
4
A 300 100 2
B (300 50) (100 50) x
8 6 4 2 2 4 6 8
50 50 2
C
4 4
50 50
D 6
2
8
E (300 100) (50 50)
A (2,0)
23 The unit of measurement used to describe
the energy produced by an atomic particle B (8,0)
accelerator is the electron volt (eV). Shown C (0,2)
below are the amounts of energy produced D (0,4)
by two versions of a particle accelerator. E (0,4)
Original Model 2 1010 eV
New Model 8 1011 eV 25 Kyle purchased a padlock with a
resettable combination that uses 3 digits
from 0 through 9 that must be entered in
How many more electron volts are
the proper order. A digit may be repeated
produced by the new model as compared
in the combination. Which expression
with the original model?
shows the total number of possible
A 7.8 10 combinations for the padlock?
11
B 7.8 1010 A 310
C 7.8 109 B 10 3
D 6 10
1 C 10 + 9 + 8
D (10)(9)(8)
E 4 101
E 10 + 10 + 10
-10-
Mathematics Practice Test
Answer Key
Question Correct
Number Answer
1 A
2 C
3 D
4 C
5 B
6 B
7 D
8 B
9 E
10 E
11 C
12 E
13 A
14 C
15 B
16 D
17 A
18 E
19 C
20 D
21 A
22 C
23 A
24 A
25 B
-11-
Are You Ready to Take the HiSET Mathematics Test?
You can estimate how well prepared you are for the real test in the following way. First, count how many
questions you answered correctly on this practice test. Do not include any questions that you did not answer or
that you answered incorrectly. Then find the number of questions you answered correctly in the table below to
see an estimate of how well prepared you are.
Number of questions How prepared
you answered correctly you are
0 to 7 Not yet prepared
8 to 9 Perhaps prepared
10 to 14 Adequately prepared
15 to 25 Well prepared
