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Integers, Rational Numbers, and Number Systems Review

Total questions: 58

Worksheet time: 2hrs 24mins

Name
Class
Date
1.

 −334 ÷ −10-3\frac{3}{4}\ \div\ -10  

a)

37 1/2

b)

-3/8

c)

3/8

d)

-37 1/2

2.

 −712 ÷ 214-7\frac{1}{2}\ \div\ 2\frac{1}{4}  

a)

3 1/3

b)

-3 1/3

c)

16 7/8

d)

-16 7/8

3.

 710÷145\frac{7}{10}\div1\frac{4}{5}  

a)

7/10

b)

7/18

c)

1 3/7

d)

9/5

4.

 −356 − 438-3\frac{5}{6}\ -\ 4\frac{3}{8}  

a)

1 11/24

b)

-7 8/14

c)

-8 5/24

d)

-1 11/24

5.

 (−256) + 323\left(-2\frac{5}{6}\right)\ +\ 3\frac{2}{3}  

a)

5/6

b)

-5/6

c)

6 ½

d)

-6 ½

6.

 −1 67 − (−34)-1\ \frac{6}{7}\ -\ \left(-\frac{3}{4}\right)  

a)

1 3/28

b)

-28/31

c)

-1 3/28

d)

28/31

7.

 57 + (−97)\frac{5}{7}\ +\ \left(-\frac{9}{7}\right)  

a)

-4/7

b)

-7/4

c)

4/7

d)

-7/4

8.
- 5.62 + (- 12.9)
a)
-6.91
b)
- 18.52
c)
6.28
d)
6.91
9.
- 2.09 - 15.271
a)
-17.361
b)
13.181
c)
17.361
d)
-13.181
10.
5.23 - (-9.1)
a)
-3.87
b)
3.87
c)
4.32
d)
14.33
11.
-51 + 81.623
a)
30.623
b)
-30.623
c)
132.623
d)
-132.623
12.

Leah wants to cut a rope that is 7.2 inches long into four equal pieces. How long was each piece of rope?

a)

1.4 inches

b)

2.4 inches

c)

1.8 inches

d)

2.2 inches

13.
Find the quotient
-3.6 ÷ .06
a)
-0.6
b)
6
c)
-60
d)
600
14.
Solve 0.729 ÷ 1.5
a)
0.473
b)
0.466
c)
0.486
d)
0.491
15.
-6.3(-0.6)
a)
-3.78
b)
5.76
c)
3.78
d)
-5.12
16.

Zane ate 1/4 of a pizza, and Tyler ate 6/8 of a different pizza. How much more pizza did Tyler eat than Zane?

a)

6/32

b)

2/8

c)

1/2

d)

5/4

17.
Is this a correct answer?
a)
Yes, the student correctly added.
b)
No, you cannot add unlike denominators
c)
No, 5 + 7 is not 12
d)
No, 2 + 3 is not 5
18.
a)
- 1  7/40
b)
15/40
c)
- 1 10/40
d)
17/40
19.
Sara had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?
a)
4
b)
2
c)
48
d)
8
20.
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?
a)
55 minutes
b)
25 minutes
c)
60 minutes
d)
75 minutes
21.
Lisa is making activity baskets to donate to charity.  She has 12 coloring books and 36 crayons.  What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?
a)
2
b)
12
c)
36
d)
6
22.

Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white

balloons, and 16 orange balloons. She wants each arrangement to have the same number of each

color. What is the greatest number of arrangements that she can make if every balloon is used?

a)

6

b)

2

c)

4

d)

8

23.

Peter has 18 oranges and 27 pears. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of fruit baskets he can make?

a)

1

b)

3

c)

9

d)

18

24.
Find the LCM of each set of numbers.
8, 12 
a)
48
b)
24
c)
76
d)
96
25.
What is the least common multiple (LCM) of 5 and 20?
a)
4
b)
5
c)
20
d)
100
26.
What is the least common multiple (LCM) of 2 and 3?
a)
6
b)
8
c)
20
d)
10
27.

Compare using > , < , or , =


I - 4.5 I _________ - 6.8

a)

>

b)

<

c)

=

28.
Find the GCF of 64 and 144
a)
8
b)
6
c)
16
d)
2
29.
Find the LCM of 42 and 66
a)
2772
b)
6
c)
462
d)
132
30.
Find the LCM of 18 and 24
a)
6
b)
72
c)
24
d)
5
31.
Pencils come in packs of 8 and highlighters in packs of 12.  
A.  What is the least number of pencils and highlighters you need to buy for an equal amount?
B.  What is the least number of packages you need to buy to have an equal amount of pencils and highlighters?
a)
A. 4  B.  2 pencil and 3 highlighter
b)
A.  48  B.  6 pencil and 4 highlighter
c)
A. 24  B. 3 pencil and 2 highlighter
32.
You have 18 red legos and 24 green legos.  You need to combine them into groups of the same size with the same number of red and green legos in each group.
A.  What is the greatest number of groups you can make?
B.  How many red and green legos will be in each group?
a)
A.  6 groups  B.  3 red and 4 green
b)
A.  72 groups  B.  6 red and 3 green
c)
A.  3 groups  B.  6 red and 8 green
33.
An art project requires rows with the same number of discs and same amount of red and blue discs in each row.  You have 40 red discs and 24 blue discs.
A.  What is the greatest number of discs you could put in each row?
B.  How many red discs and blue discs will be in each row?
a)
A.  120 discs  B.  3 red and 5 blue
b)
A.  8 discs  B.  5 red and 3 blue
c)
A.  4 discs  B.  10 red and 6 blue
34.
What is the divisibility rule for 5?
a)
The digits must add up to 10.
b)
The last digit needs to be a 5 or 0.
c)
The last digit can only be a 5.
d)
The sum of the digits need to be divisible by 5.
35.
All of these numbers are divisible by 5 except for...
a)
75,395
b)
984,940
c)
222,222,235
d)
8,943,892
36.

What is the divisibility rule for 3?

a)

Add up the digits. The sum must be an even number

b)

The digits must add up to 9.

c)

The last digit must be a 3.

d)

Add up the digits. The sum must be a multiple of 3.

37.
Is 816 divisible by 3?
a)
Yes
b)
No
38.

What is the divisibility rule for 4?

a)

The sum of the digits must be a multiple of 4

b)

The last two digits must form a number that is a multiple of 4

c)

The number must be divisible by 2 and 3.

d)

The number must end in 0, 2, or 4

39.

2520 is divisible by 6 because:

a)

It is divisible by 2 (even) and 5 (ends in a 0 or 5)

b)

The sum of the digits is 12, a multiple of 6

c)

It's divisible by 2 (even) and 3 (sum of digits is a multiple of 3)

d)

The sum of the digits is even

40.
70 can be evenly divided by which number?
a)
5
b)
10
c)
2
d)
All of the above
41.

252 is divisible by 9 because:

a)

The number is divisible by 2 and 3

b)

The sum of the digits is a multiple of 9.

c)

The sum of the digits is a multiple of 3

d)

The sum of the digits is even.

42.

Is 19,584 divisible by 9?

a)

Yes

b)

No

43.

Jackson’s mother buys 4 packs of hamburger meat.

Each pack contains 2/3 of a pound of meat. How much total meat did she buy?

BEFORE YOU USE THE CALCULTOR, WRITE DOWN THE PROBLEM!!

a)

2 2/3 lbs.

b)

1/6 lbs

c)

6 lbs.

d)

3 1/3 lbs.

44.

Mrs. Diego has 3 cups of sugar.

She needs to divide the sugar equally into containers of 1/3 of a cup of sugar.

How many containers will Mrs. Diego be able to fill?

WRITE DOWN THE PROBLEM BEFORE YOU USE THE CALCULATOR!!

a)

1 container

b)

6 containers

c)

1/9 container

d)

9 containers

45.

Mr. Simpson feeds his dog ½ of a cup of dog food each day.

How long will 4 cups of dog food last?

WRITE DOWN THE PROBLEM BEFORE YOU USE THE CALCULATOR?

a)

1/8 day

b)

2 days

c)

8 days

d)

4 days

46.

After a party, 1/3 of a pizza remains.

Rachel eats 1/2 of the remaining pizza.

What fraction of a pizza does she eat?

WRITE DOWN THE PROBLEM BEFORE YOU SOLVE THIS!!

a)

1/6 of a pizza

b)

2/3 of a pizza

c)

1 1/2 of a pizza

d)

1/5 of a pizza

47.

A fudge company makes 4 pounds of fudge.

A worker separates the fudge into packages of ¼ of a pound of fudge each.

How many packages does he make?

WRITE DOWN THE PROBLEM BEFORE YOU USE THE CALCULATOR?

a)

1 package

b)

1/16 package

c)

8 packages

d)

16 package

48.

Keisha is making potato casserole for a dinner party.

She needs ½ of a potato per guest.

How many potatoes will she need for 9 guests?

WRITE DOWN THE PROBLEM BEFORE YOU USE THE CALCULATOR?

a)

4 1/2 potatoes

b)

8 1/2 potatoes

c)

18 potatoes

d)

1/18 potatoes

49.

Deandre has 8 pints of milk.

If he drinks ¼ of a pint of milk each day, how long will the 8 pints of milk last him?

WRITE DOWN THE PROBLEM BEFORE YOU USE THE CALCULATOR!!

a)

8 days

b)

2 days

c)

16 days

d)

32 days

50.

Tydus wants to fill six containers with ¾ of a cup of lemonade.

How much lemonade will he need to fill the six containers?

WRITE DOWN THE PROBLEM BEFORE YOU USE THE CALCULATOR!!

a)

8 cups

b)

4 1/2 cups

c)

1/8 cups

d)

6 cups

51.

On Saturday, 12 friends go ice skating. Altogether, they pay $83.40 for admission. They share the cost equally. How much does each person pay?

a)

.695

b)

69.50

c)

6.95

d)

1000.90

52.

Tim's favorite peaches are $2.57 per pound at the local farmers’ market. She bought 3 pounds of the peaches. How much did she spend?

a)

$0.86

b)

$7.50

c)

$7.71

d)

$5.64

53.

Jackie earns $8.95 per hour. This week she worked 7.5 hours. How much did she earn this week?

Remember, dollars and cents are how many cents there are.....round!!

Watch the decimal point!!

a)

$6.7125

b)

$67.12

c)

$67.13

d)

$68.00

54.

Riley has started a babysitting business.

She charges $3.85 per hour. If she works 8 hours a week, what would be the total she earned for the week?

a)
$30.80
b)
$3.08
c)
$308.80
d)
$40.80
55.
A group of four friends are going to see a movie. If one ticket costs $8.50, how much does it cost for everyone? 
a)
$34.50
b)
$44.00
c)
$34.00
d)
$44.50
56.
Mrs. Rice bought 27 books for the class.  What was the cost for one book if she spent a total of $67.50?
a)
$2.13
b)
$0.21
c)
$0.25
d)
$2.50
57.
Brandon worked  15 hours last week. This week he worked 2.5 times as many hours. How many hours did Brandon work?
a)
30.5
b)
32.5
c)
35
d)
37.5
58.
Davis earned $36.12 for making 7 touchdowns at his football game.  How much does he make per touchdown? 
a)
$5.17
b)
$5.12
c)
$5.14
d)
$5.16

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