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Worksheets

Number System Review

Total questions: 40

Worksheet time: 2hrs 59mins

Name
Class
Date
1.
An entire chocolate cake has 5,320 calories.  If the cake is equally divided into 14 pieces, how many calories are in each piece?
a)
354
b)
380
c)
483
d)
408
2.

 232^3  is the prime factorization of

a)

6

b)

12

c)

22

d)

8

3.
Calculate
5.75÷0.25
a)
0.23
b)
2.3
c)
2.03
d)
23
4.
What is the GCF of 12 and 16?
a)
4
b)
8
c)
12
d)
2
5.
What is the LCM of 18 and 24?
a)
48
b)
6
c)
64
d)
72
6.
Jane has 18 juice boxes, 24 bags of almonds, and 36 apples. She wants to make snack bags with the same number of each thing in each bag. What is the greatest number of snack bags Jane can make with what she has?
a)
4 snack bags
b)
6 snack bags
c)
8 snack bags
d)
10 snack bags
7.

Find the prime factorization for 80

a)

42 ⋅ 5

b)

24 ⋅ 5

c)

2 ⋅ 2 ⋅ 2

d)

8 ⋅ 5 ⋅ 2

8.
The school cafeteria serves tacos every sixth day and cheeseburgers every eighth day. If tacos and cheeseburgers are both served on today's menu, how many days will it be before they are both on the menu again?
a)
14 days
b)
24 days
c)
34 days 
d)
44 days
9.
What is the LCM of 4 and 12? 
a)
4
b)
8
c)
12
d)
16
10.
Is 35 prime or composite?
a)
prime
b)
composite
11.
0.48 ÷ 0.4
a)
1.2
b)
12
c)
0.12
d)
0.012
12.

Jenny goes to dance class every 6 days, karate class every 12 days, and to the library every 18 days. On December 1st she went to both classes and the library. How many days until she has dance, karate, and library on the same day?

a)

24 days

b)

36 days

c)

42 days

d)

52 days

13.

Find the prime factorization of 72

a)

23 x 32

b)

2 x 32 x 4

c)

24 x 33

d)

22 x 62

14.
Find the LCM of 18 and 24
a)
6
b)
72
c)
24
d)
5
15.
John works every 4 days.  Chris works every 7 days.  How many days until they work together again?
a)
28
b)
11
c)
3
d)
35
16.
Calculate
7.8÷0.03
a)
2.6
b)
26
c)
260
d)
.26
17.
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
18.
Morgan wants to cut a straight board into 6 equal pieces. The board is 75.96 inches long. How long should Morgan cut each piece?
a)
12.6 inches
b)
12.66 inches
c)
12.77 inches
d)
13.16 inches
19.
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
20.
Is this question asking to find GCF or LCM?
a)
GCF
b)
LCM
21.
At Kentucky Fried Chicken, the kitchen staff baked 96 chicken legs and 144 thighs.  The staff had to prepare platters for an office lunch.  If each platter will have the same number of legs and thighs, what is the greatest number of platters they can make?
a)
48
b)
2
c)
4
d)
16
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.

Use a factor tree to find the prime factorization of 32

a)

2x2x2x4

b)

2x2x2x2x2

c)

4x4x2

d)

2x2x2x2x1

24.
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
25.

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)

4

26.
GCF of 12 and 18
a)
3
b)
4
c)
6
d)
2
27.
51 is a _____________ of 3
a)
Factor 
b)
Multiple
28.
Jeremy has two pieces of wood:  one is 90 inches and the other is 72 inches. He wants to cut both pieces into smaller pieces of the same length.  What is the longest possible length he can cut and not have any lumber left over?
a)
9
b)
2
c)
18
d)
72
29.
List all the factors of 12
a)
1, 2, 3, 4, 6, 12
b)
1, 2, 4, 12
c)
1, 12
d)
1, 2, 3, 4, 5, 6, 12
30.
 Find the GCF of each set of numbers. 
12, 30 
a)
4
b)
2
c)
5
d)
6
31.
Avery gets newsletters by e-mail. He gets one for sports every 5 days, one for model railroads every 10 days, and one for music every 8 days. If he got all three today, how many more days will it be until he gets all three newsletters on the same day again? 
a)
80 days
b)
40 days
c)
50 days
d)
60 days
32.

Use a factor tree to find the prime factorization of 105

a)

7x5x3

b)

11x5x3

c)

7x5x2x1

d)

7x5x3x2

33.
A prime number...
a)
has one factor.
b)
has more than 2 factors.
c)
has 100 factors.
d)
has exactly 2 factors: 1 and the itself.
34.
A composite number ...
a)
has more than 2 factors.
b)
has one factor.
c)
has at least 10 factors.
d)
is always a really big number.
35.

What is the prime factorization of 16 ?

a)

4 x 4

b)

22x 4

c)

24

d)

22 + 22

36.

Which is the prime factorization of 12 ?

a)

2 x 6

b)

2 + 2 + 2 + 2 + 2 + 2

c)

22 x 3

d)

1 x 22 x 3

37.
Anette used 136.92 inches of lace equally on 12 dresses. How much lace did she use on each dress?
a)
11.04 inches
b)
11.31 inches
c)
11.41 inches
d)
12.57 inches
38.

Use a factor tree to find the prime factorization of 64

a)

4x4x4

b)

4x4x2x2

c)

2x2x2x2x2x2

d)

4x4x2x1

39.
What is 2637 divided by 18?
a)
146
b)
152
c)
67
d)
231
40.
2,156 ÷ 44
a)
50
b)
49
c)
49 R14
d)
50 R 3

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