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Worksheets

ACT Mixed Practice

Total questions: 35

Worksheet time: 2hrs 48mins

Name
Class
Date
1.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?

a)

2/7

b)

1/6

c)

5/7

d)

25/26

2.
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
3.

A letter from the word MATH is chosen at random, then a coin is flipped. What is the probability of choosing the letter 'M' and getting tails?

a)

17/26

b)

1/8

c)

5/13

d)

1/6

4.
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.
a)
3/20
b)
1/4
c)
3/31
d)
2/27
5.
There are seven boys and seven girls in a class. The teacher randomly selects one student to answer a question. Later, the teacher randomly selects a different student to answer another question. What is the probability that the first student is a boy and the second student is a girl?
a)
7/26
b)
1/2
c)
2/17
d)
8/29
6.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of not choosing lemon?

a)

3/5

b)

9/10

c)

3/25

d)

1/10

7.
She _____ home if she _____ time.
a)
drive / has
b)
will drive / has
c)
will drive / have
d)
will drive / had
8.

When the fire alarm sounds, all of the students ______ out the nearest exit. 

a)

walking

b)

will walk

c)

walks

d)

are walking

9.

The entire cast from her favorite television show, except the actress who plays the main character, were present at the event last night.

a)

NO CHANGE

b)

will be present

c)

are present

d)

was present

10.

Each of the students are responsible for completing his or her work.

a)

NO CHANGE

b)

is

c)

have been

d)

were

11.

My classes will have began by then so I probably won't have time to babysit.

a)

NO CHANGE

b)

will have begin

c)

began

d)

will have begun

12.

Both of my roommates has decided to live in the dorms next semester.

a)

NO CHANGE

b)

have

c)

will have

d)

had

13.

The presence of certain bacteria in our bodies are one of the factors that determines our overall health.

a)

NO CHANGE

b)

have been

c)

is

d)

were

14.

She is a very hard worker; _________, she is always on time.

a)

since

b)

furthermore

c)

because

d)

however

15.

She is a very hard worker; _________, she is frequently late.

a)

since

b)

furthermore

c)

because

d)

however

16.

Neither the professor nor his assistants was able to solve the mystery of the eerie glow in the laboratory last semester.

a)

NO CHANGE

b)

will be

c)

has been

d)

were

17.
A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. Mrs. Cox picks one without looking, replaces it and picks another one. What is the probability that she picks two that are not orange? 
a)
9/16
b)
3/4
c)
9/144
d)
5/16
18.
A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 
a)
2/3
b)
5/36
c)
1/9
d)
1/36
19.

A chorus has 50 girls and 35 boys. If two are chosen at random to sing a duet, what is the probability that both will be boys?

a)

1/6

b)

7/17

c)

3/8

d)

13/25

20.

What is the probability that the person picked will be a boy given they speak German? 

a)
.7273
b)
.4
c)
.16
d)
.22
21.

What is the probability that you draw an ace from a deck of cards three times if each card is not replaced?

a)

1/13

b)

3/52

c)

1/2197

d)

1/5525

22.
A magician is doing a card trick using a standard deck of cards. What is the probability that he will pull a jack, followed by a queen?
(Without replacement)
a)
1/13
b)
4/663
c)
4/13
d)
1/104
23.

Mara is making a necklace. She has a bag of 45 pink, purple and blue beads. 1/9 of the beads are blue and 2/5 of the beads are purple. She randomly selects her first bead. What is the probability that the bead is pink?

a)

2/9

b)

4/15

c)

22/45

d)

23/26

24.

To make a 750-piece puzzle more challenging, a puzzle company includes 5 extra pieces along with the 750 pieces. The extra pieces do not belong anywhere in the puzzle. If you buy such a puzzle, open the box, and select one piece, what is the probability that it will be one of the extra pieces?

a)

1/5

b)

1/750

c)

1/755

d)

1/151

25.

Kyle has been tossing a coin and recording the number of heads and tails. So far, he has tossed the coin 5 times and gotten heads each time. What are the odds that he will get tails on his next coin toss?

a)

1/2

b)

5/6

c)

1/6

d)

1/32

26.

What is a perfect square?

a)

the smallest multiple that two or more numbers have in common

b)

the product of an integer and itself

c)

any negative or positive number that can be written without a fraction or decimal

d)

a whole number with exactly 2 factors

27.

What is a least common multiple?

a)

the smallest multiple that two or more numbers have in common

b)

the product of an integer and itself

c)

any negative or positive number that can be written without a fraction or decimal

d)

a whole number with exactly 2 factors

28.

What is a prime number?

a)

the smallest multiple that two or more numbers have in common

b)

the product of an integer and itself

c)

any negative or positive number that can be written without a fraction or decimal

d)

a whole number with exactly 2 factors

29.

What is a greatest common factor (GCF)?

a)

the smallest multiple that two or more numbers have in common

b)

the product of an integer and itself

c)

any negative or positive number that can be written without a fraction or decimal

d)

the largest positive integer that divides evenly into two or more numbers

30.

What is an integer?

a)

the smallest multiple that two or more numbers have in common

b)

the product of an integer and itself

c)

any negative or positive number that can be written without a fraction or decimal

d)

the largest positive integer that divides evenly into two or more numbers

31.

What is the least common multiple (LCM) of 6 and 9?

(a)  

32.

What is the least common multiple (LCM) of 12 and 20?

(a)  

33.

What is the greatest common factor (GCF) of 6 and 9?

(a)  

34.

What is the greatest common factor (GCF) of 12 and 20?

(a)  

35.

What is the greatest common factor (GCF) of 28 and 35?

(a)