Free Printable ACT Math and Science Review

1.

How many questions are on the math portion of the ACT?

a)

30

b)

45

c)

60

d)

100

2.

How much time is allotted during the math portion of the ACT?

a)

30 min

b)

45 min

c)

60 min

d)

100 min

3.

Which of the following is NOT a strategy you should use when taking the math portion of the ACT?

a)

Use process of elimination.

b)

Skip the hard questions first.

c)

Leave answers blank.

d)

Know the test structure.

4.

When plugging in solutions, which answer should you plug in first?

a)

Option A

b)

Option B

c)

Option C

d)

Option D

e)

Option E

5.

What does $i^2$ equal?

(a)

6.

On level ground, a vertical rod 12 feet tall casts a shadow 4 feet long, and at the same time a nearby vertical flagpole casts a shadow 12 feet long. How many feet tall is the flagpole?

a)

4

b)

8

c)

12

d)

20

e)

36

7.

Kalino earned 85, 95, 93, and 80 points on the 4 tests, each worth 100 points, given so far this term. How many points must he earn on his fifth test, also worth 100 points, to average 90 points for the 5 tests given this term?

a)

87

b)

88

c)

90

d)

92

e)

97

8.

$Ifx=-5,what\ is\ the\ value\ of\ \frac{x^2-1}{x+1}?$

a)

-6

b)

-4

c)

4

d)

$5\frac{4}{5}$

e)

19

9.

$What\ is\ the\ value\ of\ \sqrt{\frac{m}{x-3}}\ when\ x=-1\ and\ m=-16?$

a)

-2

b)

2

c)

$2\sqrt{2}$

d)

$2i$

e)

$2i\sqrt{2}$

10.

Tickets for a community theater production cost $6 each when bought in advance and $8 each when bought at the door. The theater group's goal is at least $2,000 in ticket sales for opening night. The theater group sold 142 opening-night tickets in advance. What is the minimum number of tickets they need to sell at the door on opening night to make their goal?

a)

143

b)

144

c)

192

d)

250

e)

357

11.

Mark and Juanita own a sandwich shop. They offer 3 kinds of bread, 5 kinds of meat, and 3 kinds of cheese. Each type of sandwich has a combination of exactly 3 ingredients: 1 bread, 1 meat, and 1 cheese. How many types of sandwiches are possible?

a)

11

b)

15

c)

30

d)

45

e)

120

12.

$If\ 12\left(x-11\right)=-15,\ then\ x=?$

a)

$-\frac{49}{4}$

b)

$-\frac{13}{6}$

c)

$-\frac{5}{4}$

d)

$-\frac{1}{3}$

e)

$\frac{39}{4}$

13.

$If\ f\left(x\right)=9x^2+5x-8,\ then\ f\left(-2\right)=?$

a)

-54

b)

-18

c)

18

d)

36

e)

38

14.

What is the least common multiple of 30, 20, and 70?

a)

40

b)

42

c)

120

d)

420

e)

42,000

15.

A certain computer performs 1.5x10⁸ calculations per second. How many seconds would it take this computer to perform 6.0x10¹⁶ calculations?

a)

2.5x10^-9

b)

9.0x10⁰

c)

4.0x10²

d)

4.0x10⁸

e)

9.0x10²⁴

16.

Which of the following is NOT a Pythagorean Triple that you should be familiar with for the ACT?

a)

3, 4, 5

b)

6, 7, 8

c)

5, 12, 13

d)

8, 15, 17

e)

7, 24, 25

17.

$7\left(x+3\right)-3\left(2x-2\right)\ is\ equivalent\ to\$

a)

x+1

b)

x+15

c)

x+19

d)

x+23

e)

x+27

18.

When (2x-3)² is written in the form ax²+bx+c, where a, b, and c are integers, a+b+c=?

a)

-17

b)

-5

c)

1

d)

13

e)

25

19.

Barb is going to cover a rectangular area 8 feet by 10 feet with rectangular paving blocks that are 4 inches by 8 inches by 2 inches to make a flat patio. What is the minimum number of paving blocks she will need if all the paving blocks will face the same direction? (Note: Barb will not cut any of the paving blocks.)

a)

80

b)

360

c)

601

d)

960

e)

1,213

20.

The coordinates of the endpoints of line segment GH, in the standard (x,y) coordinate plane, are (-8, -3) and (2, 3). What is the x-coordinate of the midpoint of line segment GH?

a)

-6

b)

-3

c)

0

d)

3

e)

5

21.

Let 2x+3y=4 and 5x+6y=7. What is the value of 8x+9y?

a)

-10

b)

-1

c)

2

d)

7

e)

10

22.

$3x^3\cdot2x^2y\cdot4x^2y\ is\ equivalent\ to\$

a)

$9x^7y^2$

b)

$9x^{12}y^2$

c)

$24x^7y^2$

d)

$24x^{12}y$

e)

$24x^{12}y^2$

23.

A rectangular lot that measures 150 ft by 200 ft is completely fenced. What is the approximate length, in feet, of the fence?

a)

300

b)

350

c)

400

d)

700

e)

1,400

24.

What two numbers should be placed in the blanks so that the difference between consecutive numbers is the same?

17, _____, _____, 41

a)

23, 29

b)

24, 34

c)

25, 33

d)

26, 35

e)

27, 31

25.

If a marble is randomly chosen from a bag that contains exactly 8 red marbles, 6 blue marbles, and 6 white marbles, what is the probability that the marble will NOT be white?

a)

3/4

b)

3/5

c)

4/5

d)

3/10

e)

7/10

26.

"Compound"

Which of the following is the best definition for this word?

a)

a substance made up of more than one element

b)

a liquid or gas

c)

the force that attracts an object towards the center of the earth

d)

a section of DNA that determines inheritance

27.

"Boiling Point"

Which of the following is the best definition for this word?

a)

a liquid or a gas

b)

the temperature when a liquid becomes a gas

c)

rate of change in distance with respect to time

d)

heat transfer as a result of fluid movement

28.

"Element"

Which of the following is the best definition for this word?

a)

elements of an experiment that are controlled to remain the same

b)

a substance composed of atoms with the same atomic number which cannot be split into smaller substances

c)

substances that participate in a chemical reaction

d)

mass per volume of a substance

29.

"Density"

Which of the following is the best definition for this word?

a)

quantity of heat energy

b)

substances that participate in a chemical reaction

c)

quantity of a body's matter

d)

mass per volume of a substance

30.

"Buoyancy"

Which of the following is the best definition for this word?

a)

quantity of a body's matter

b)

measure of mass

c)

ability to float

d)

mass per volume of a substance

31.

"Neutron"

Which of the following is the best definition for this word?

a)

smallest unit of a chemical component

b)

fundamental atom particle that has no charge

c)

fundamental atom particle that has a negative charge

d)

energy of an object due to its motion

32.

"Herbivor"

Which of the following is the best definition for this word?

a)

an animal that eats only plants

b)

an animal that eats only other animals

c)

an animal that eats both plants and other animals

d)

a plant that "eats" bugs for additional nutrients

33.

"Abiotic"

Which of the following is the best definition for this word?

a)

study of a cell

b)

study of living things

c)

with/ of life

d)

without life/ not living

34.

"Calorie"

Which of the following is the best definition for this word?

a)

a quantity of heat energy

b)

quantity of energy per food molecule

c)

quantity of sugar per gram of food

d)

evil

35.

"Molecule"

Which of the following is the best definition for this word?

a)

fundamental atom particle that has a positive charge

b)

second smallest unit of a chemical compound

c)

smallest unit of a chemical compound

d)

chemical compound that is always composed of several different atoms

36.

Match the prefix with its meaning.

"a-"

a)

one

b)

without

c)

with

d)

by itself

37.

Match the prefix with its meaning.

"macro-"

a)

large

b)

small

c)

biggest

d)

smallest

38.

Match the prefix with its meaning.

"super-" / "sur-"

a)

greatest

b)

below, beneath

c)

above, upon

d)

heroes!

39.

Match the prefix with its meaning.

"deca-"

a)

twelve

b)

ten

c)

one hundred

d)

one thousand

40.

Match the prefix with its meaning.

"inter-"

a)

among

b)

between

c)

go in

d)

exit

41.

Match the suffix with its meaning.

"-graph"

a)

representation of data

b)

instrument for making records

c)

instrument for directing experiments

d)

results of an experiment

42.

Match the suffix with its meaning.

"-meter"

a)

measure

b)

evaluate

c)

distance

d)

height

43.

Match the suffix with its meaning.

"-pod/ -ped"

a)

a grouping

b)

type of animal

c)

foot

d)

measure of population

44.

Match the suffix with its meaning.

"-logy"

a)

involving logic/reason

b)

study of something

c)

measure of something

d)

involving experiments

45.

Match the suffix with its meaning.

"-sect"

a)

a grouping

b)

a measure of people

c)

cut

d)

examine

ACT Math and Science Review

Total questions: 45

Worksheet time: 23mins

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