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ACT Math Cram

Total questions: 96

Worksheet time: 6hrs 6mins

Name
Class
Date
1.

The following M & M colors are in the bowl:

4 yellow, 6 orange, 3 green, 5 blue, 2 brown

What is the probability of selecting a brown candy?

a)

2/18

b)

1/9

c)

1/10

2.
The probability of an event occurring, P(A), can be expressed as a fraction, decimal, or percent.
a)
True
b)
False
3.
What statement does the shaded region represent?
a)
A or B
b)
A and not B
c)
Not A
d)
Not A or B
4.

an event with a probability of zero

a)

impossible

b)

mutually exclusive

c)

outcome

d)

outcome

5.
Based on the chart, what is the probability of pulling a green marble?
a)
1/8
b)
8/25
c)
8/100
d)
7/8
6.
What is the probability of getting any letter that is not A?
a)
6/8
b)
3/4
c)
2/8
d)
1/4
7.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
8.
A jar contains 8 marbles: 3 are red and 5 are blue. What is the probability of selecting a red marble, replacing it, and then selecting another red marble?
a)
9/64
b)
6/56
c)
15/64
d)
25/64
9.
If a dice is rolled 300 times, how many times would you predict a roll of a 1 or a 6?
a)
50
b)
100
c)
150
d)
75
10.
Which number is a FACTOR of 16
a)
7
b)
6
c)
9
d)
4
11.
A PRIME NUMBER is...
a)
a number that has only one factor.
b)
a number that has at least two factors.
c)
a number that has more than two factors.
d)
a number that has only two factors.
(1 and itself)
12.
Which number below is NOT PRIME?
a)
2
b)
11
c)
13
d)
18
13.
Is 5 a factor of 80?
a)
yes
b)
no
14.
Which one shows ALL of the factors of 6?
a)
1, 6, 12
b)
1, 2, 3, 6
c)
1, 2, 3,
d)
1, 6
15.
Which choice lists all the factors for the number 24?
a)
2, 3, 4, 6, 8, 12, 24
b)
2, 3, 4, 6, 8, 12, 24, 36
c)
1, 2, 3, 4, 6, 8, 12, 24
d)
1, 2, 4, 5, 6, 8, 12 ,24
16.
Is 2 a prime or composite number?
a)
Prime
b)
Composite
17.
Which number listed below is a prime number?
a)
1
b)
37
c)
63
d)
33
18.

Why is 1 a unique number?

a)

1 is the only even prime number

b)

1 is prime and composite

c)

1 is neither prime or composite

d)

1 is lonely

19.

Corn muffins cost $2 each. Blueberry muffins cost $3 each. Which of the following equations can be used to find m, the total cost in dollars of 8 corn muffins and 7 blueberry muffins?

a)

(2 + 3) x (8 + 7) = m

b)

(2 x 3) + (8 x 7) = m

c)

(2 + 8) x (3 + 7) = m

d)

(2 x 8) + (3 x 7) = m

20.

Kiril’s clues about a number are:

  1. It is an even number
  2. It is a multiple of 5
  3. It is less than 28

What number fits all of Kiril's clues?

(a)  

21.

During art class last week, Carmen put crayons into cups for her art teacher.

She put exactly 9 crayons into each cup.

Altogether, Carmen put more than 35 crayons, but fewer than 40 crayons, into the cups.


What is the total number of crayons that Carmen put into the cups?

(a)  

22.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
23.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
24.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
25.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
26.

Simplify using your exponent rule(s) (-2)³⋅(-2)⁶

a)

(-2)⁹

b)

(-2)¹⁸

c)

(-2)⁻³

d)

(-2)

27.

Simplify using your exponent rule(s) x⁵⁄x³

a)

x²

b)

x

c)

1

d)

x⁸

28.

Simplify using your exponent rule(s) x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

29.

Simplify using your exponent rule(s) -14x7/7x

a)

-2x6

b)

-2x

c)

-2x5

d)

-2x8

30.

Simplify using your exponent rule(s) (53x2y4)0

a)

5xy

b)

1

c)

0

d)

5

31.
Find the missing exponent:
5y2 . (2y3)x = 80y14
a)
x = 9
b)
x = 4
c)
x = 3
d)
x = 2
32.

Rewrite using positive exponents

a)

24

b)

1/24

c)

42

d)

1/42

33.

The triangle sum theorem states that the sum of the interior angles of all triangles equals ________.

a)

100*

b)

180*

c)

90*

d)

360*

34.

<2 and <8 are ____________________.

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Same side exterior angles

d)

Vertical angles

35.

Name a pair of alternate interior angles.

a)

<c & <d

b)

<a & <b

c)

<a & <c

d)

<a & <d

36.

Name the relationship of <1 and <2

a)

Vertical angles

b)

Corresponding angles

c)

Supplementary angles

d)

Complementary angles

37.

<a and <f are _______________ angles

a)

Same side interior

b)

Alternate interior

c)

Same side exterior

d)

Alternate exterior

38.

Name a pair of same side interior angles.

a)

<3 and <4

b)

<3 and <6

c)

<2 and <7

d)

< 2 and <3

39.

If the measure of <c = 35*, what is the measure of <d?

a)

55*

b)

45*

c)

145*

d)

180*

40.

<DBE = 90*; <BED = 75*. What is the measure of <EDB

a)

15*

b)

25*

c)

35*

d)

45*

41.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
42.
Choose the correct ratio.
a)
A
b)
B
c)
C
d)
D
43.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
44.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
45.

What is the ratio for Sine?

a)

Hypotenuse/Opposite

b)

Opposite/Hypotenuse

c)

Opposite/Adjacent

d)

Adjacent/Opposite

46.

What is the ratio for Tangent

a)

Opposite/Adjacent

b)

Adjacent/Opposite

c)

Opposite/Hypotenuse

d)

Hypotenuse/Opposite

47.

What is the ratio for Cosine?

a)

Opposite/Hypotenuse

b)

Opposite/Adjacent

c)

Adjacent/Opposite

d)

Adjacent/Hypotenuse

48.

If you are given the two sides that are NOT the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

49.

What is the opposite side to <D?

a)

EF

b)

DF

c)

DE

50.

What is the opposite side to <E?

a)

EF

b)

DF

c)

DE

51.

What is the adjacent side to <D?

a)

EF

b)

DF

c)

DE

52.

What is the green side labelled as using the starred angle as a starting point?

a)

adjacent

b)

opposite

c)

hypotenuse

53.

What is the green side labelled as from the starred angle?

a)

adjacent

b)

opposite

c)

hypotenuse

54.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

55.

 ∣−8∣+∣8∣\left|-8\right|+\left|8\right|  

Evaluate the expression.



(a)  

56.

What situation defines the following integer:


-15

a)

Jake Fromm threw a touch down pass for 15 yards.

b)

Bryan Edwards ran for a 15 yard gain.

c)

Ezekiel Elliot rushed the ball 15 yards.

d)

Demarcus Lawrence sacked Ben Roethlisberger for a loss of 15 yards.

57.

What is the distance between 4 and -6 on a number line?

a)

-10

b)

-2

c)

10

d)

2

58.

 What is the absolute value of −∣14∣-\left|14\right| ?

a)

-14

b)

14

c)

This cannot be solved.

59.

Order the following Integers from least to greatest.


-9, 6, 12, -19, 15, 0, -8, 7

a)

-19, -8, -9, 6, 7, 12, 15, 0

b)

0, -8, -9, -19, 6, 7, 12, 15

c)

-19, -9, -8, 0, 6, 7, 12, 15

d)

-8, -9, -19, 0, 6, 7, 12, 15

60.

Compare. >, <, =.
 −4      −∣16∣-4\ \ \ \ \ \ -\left|16\right| 

a)

=

b)

>

c)

<

61.
Order the numbers from least to greatest.
-2, I8I, 5, I-10I, 6
a)
-2, I8I, 5, I-10I, 6
b)
-2, 5, 6, I8I, I-10I
c)
-2, 5, 6, 8, 10
d)
I-10I, -2, 5, 6. I8I
62.
Which is the greatest integer?
a)
-33
b)
-31
c)
-28
d)
-17
63.
What is the cube root of 125?
a)
5
b)
-5
c)
25
d)
-25
64.
Estimate √5 to the nearest tenth:
a)
2.2
b)
2.9
c)
4.1
d)
3.2
65.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
66.
Which of the following setups would be used to find four consecutive integers?
a)
n
n+2
n+4
n+6
b)
n
2n
4n
6n
c)
n+1
n+2
n+3
n+4
d)
n
n+1
n+2
n+3
67.
What two consecutive even integers have a sum of 90?
a)
30 and 60
b)
43 and 47
c)
44 and 46
d)
10 and 80 
68.
Find three consecutive odd integers whose sum is -45.
a)
-15, -17, -19
b)
-17, -18, -19
c)
-13, -15, -17
69.

The sum of three consecutive odd integers 141. What are the three integers?

a)

47, 48 , 49

b)

45, 47, 49

c)

46, 48, 50

d)

41, 49, 51

70.

Choose the correct answer to the question

a)

A

b)

B

c)

C

d)

D

71.

Choose the correct answer to the question

a)

A

b)

B

c)

C

d)

D

72.

Choose the correct answer to the question

a)

A

b)

B

c)

C

d)

D

73.

Choose the correct answer to the question

a)

A

b)

B

c)

C

d)

D

74.

Choose the correct answer to the question

a)

A

b)

B

c)

C

d)

D

75.

Choose the correct answer to the question

a)

A

b)

B

c)

C

d)

D

76.

So far, a student has earned the following scores on four 50-point quizzes during this marking period: 40, 37, 44, and 42. What score must the student earn on the fifth quiz to earn an average quiz score of 42 for the 5 quizzes?

a)

42

b)

45

c)

47

d)

49

e)

The students cannot earn an average of 42.

77.

The following chart shows the results when 31 high school juniors were asked to write the name of their favorite movie on a slip of paper and place it in a box. If a slip of paper is chosen at random from the box, which of the following is closest to the percent chance that the slip chosen will name Wedding Crashers?

a)

4%

b)

13%

c)

31%

d)

35%

e)

69%

78.

Arthur buys an ice cream sundae that contains one scoop of ice cream, one sauce, and either a cherry or pineapple wedge on top. He can choose chocolate, vanilla, strawberry, or banana ice cream; he can choose chocolate, caramel, or berry sauce; and he can choose either the cherry or the pineapple wedge for the top. How many different arrangements of these ingredients for Arthur's ice cream sundae are possible?

a)

9

b)

14

c)

24

d)

44

e)

64

79.

Javier earned the following 7 test scores. What is the median? 85, 92, 82, 94, 90, 80, 79

a)

80

b)

82

c)

85

d)

86

e)

90

80.

What two numbers should be placed in the blanks so that the difference between consecutive numbers is the same? 14, ___, ___, 47

a)

11, 11

b)

25, 36

c)

27, 38

d)

29, 39

e)

30, 30

81.

Tiara earned 12 dollars on her first day selling lemonade, and she was determined to earn 3 more dollars each day than she had made the day before. If she met this goal exactly, how much money did she earn, in total, for her first 20 days selling lemonade?

a)

810

b)

610

c)

405

d)

72

e)

60

82.
Choose the correct answer.
a)
A
b)
C
c)
D
d)
E
83.
What is the slope of segment CD?
a)
-3
b)
-1
c)
5/21
d)
3/2
84.
Choose the correct answer.
a)
G
b)
H
c)
J
d)
K
85.

If f(x)=2(3x)+1, what is the value of f(2)?

(Substitute and be careful with order of operations)

a)

19

b)

37

c)

13

d)

20

86.

Evaluate f(2):


f(x)=3x+1

a)

7

b)

9

c)

11

d)

13

87.

If g(x)=2x+5, what is the value of g(4)?

(a)  

88.

Fill in the blank that will give the correct output!


If f(x) = 2x+1, then f( (a)   )=13

89.

Which of the following is equivalent to the inequality -8 + 6p ≤ 4 - 3p?

a)

p ≤ 1/3

b)

p ≤ 4/3

c)

p ≥ 3/4

d)

p ≥ 3

e)

p ≤ 12

90.

Which of the following represents the greatest integer m that satisfies the inequality 8 > m/4 + 3 ?

a)

19

b)

20

c)

21

d)

22

e)

24

91.
Find the product:
(n - 5)(n - 1)
a)
n2 - 5n + 5
b)
n2 - 6n + 5
c)
n2 + 5
d)
n2 + 6n + 5
92.

Simplify

(x+4)2 [hint: use (x + 4)(x + 4)]

a)

x2+16

b)

x2-16

c)

x2 + 8x + 16

d)

x2+ 4x - 16

93.

Solve the equation log4x = 2 for x.

a)

2

b)

4

c)

8

d)

16

e)

64

94.

Evaluate the following logarithm:


log327

a)

3

b)

2

c)

-3

d)

1/3

95.

Evaluate the following logarithm:


log416

a)

1

b)

-2

c)

2

d)

1/2

96.

Evaluate the following logarithm:


log55

a)

1

b)

0

c)

-1

d)

1/2

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