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Number Systems Unit Assessment

Total questions: 70

Worksheet time: 5hrs 42mins

Name
Class
Date
1.
What is the reciprocal of 5?
a)
5/1
b)
1/5
2.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
3.
Divide 3/5 by its reciprocal
a)
1
b)
9/25
c)
25/9
d)
5/3
4.
Find the quotient.
a)
1  1/4
b)
1
c)
1  1/5
d)
1  2/7
5.
Solve.
a)
8 / 9
b)
1/5
c)
1
d)
4/5
6.
How many 1/2 cup servings are in a package of cheese that contains 5 1/4 cups altogether?
a)
  10 1/2 servings
b)
15 servings
c)
5 1/2 servings
d)
9 servings 
7.
The serving size for the granola that Ted likes to eat for breakfast is 3/4 cup. How many servings are there in a box that holds 13 cups?
a)
There are 15 2/3 servings.
b)
There are 17 1/3 servings.
c)
There are 16 1/3 servings.
d)
There are 18 1/3 servings.
8.
The serving size for the granola that Ted likes to eat for breakfast is 3/4 cup. How many servings are there in a box that holds 13 cups?
a)
There are 15 2/3 servings.
b)
There are 17 1/3 servings.
c)
There are 16 1/3 servings.
d)
There are 18 1/3 servings.
9.

Simplify your answer as much as possible...


Write your answer as a mixed number...

a)

1 7/8

b)

3 2/6

c)

3 1/3

d)

2 1/8

10.

Simplify your answer as much as possible...


Write your answer as a mixed number...

a)

2 14/15

b)

4 7/12

c)

44/15

d)

2 13/15

11.

Simplify your answer as much as possible...

a)

25/33

b)

60/15

c)

20/33

d)

55/15

12.

Simplify your answer as much as possible...


Write your answer as a mixed number...

a)

17/28

b)

1 34/56

c)

30/56

d)

15/28

13.

Simplify your answer as much as possible...

a)

27/40

b)

90/12

c)

28/40

d)

12/14

14.
a)
12 1/2
b)
8  12/35
c)
8  4/15
d)
10
15.
.
a)
88/60
b)
48/110
c)
24/55
16.
0.2 x 0.8
a)
16
b)
0.16
c)
0.016
d)
1.6
17.
5.78 x 3.5
a)
0.223
b)
2.23
c)
22.3
d)
20.23
18.
7.13 x 5.5 
a)
39.215
b)
3.9215
c)
392.15
d)
3921.5
19.
3.5 x 4.92
a)
17.32
b)
17.22
c)
1.72
d)
0.1722
20.
45.1 x 7
a)
31.57
b)
315.7
c)
3,157
d)
3.157
21.
 A florist sells a dozen roses for $29.88. What is the cost of one rose?
a)
$2.41
b)
$2.49
c)
$2.40
d)
$2.08
22.
Fourteen boxes of candles were sold for $91.00. What is the cost of 1 box?
a)
$1.30
b)
$6.50
c)
$13.00
d)
$0.65
23.

What is 63.2 divided by 5?

a)

12.63

b)

12.87

c)

12.64

d)

12.65

24.
Corrine has 10 pounds of trail mix to divide into 8 bags. How much trail mix will go in each bag? 
a)
0.125 trail mix
b)
12.5 pounds
c)
1.25 pounds
d)
12.5 trail mix
25.
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
26.
86.04 + 4.04
a)
9.044
b)
9044
c)
90.08
d)
90.44
27.
7.9 + 18.72
a)
2662
b)
26.62
c)
1
d)
25.62
28.
0.89 + 4.59
a)
.548
b)
Hot Dog
c)
5.48
d)
548
29.
Find the sum 27.63 + 15.04
a)
27.77
b)
27.67
c)
28.67
d)
27.78
30.

1.8-0.9

a)

0.9

b)

2.7

c)

0.8

d)

2.2

31.

0.56-0.23

a)

0.32

b)

0.45

c)

0.33

d)

1.2

32.

1.24-0.7

a)

0.44

b)

1.4

c)

0.55

d)

0.54

33.

5.4-2.43

a)

3.01

b)

2.97

c)

3.97

d)

1.34

34.

2 ones 5 tenths-3 tenths

a)

2.1

b)

1.56

c)

2.2

d)

2.205

35.

8 hundreds-7 hundreds 4 ones

a)

54

b)

78

c)

96

d)

108

36.
What is the LCM of 8 and 6
a)
36
b)
48
c)
24
d)
12
37.
What is the LCM of 12 and 10
a)
120
b)
50
c)
60
38.
What is the LCM of 9 and 33
a)
36
b)
66
c)
99
d)
999
39.
What is the GCF of 8, 36 and 40?
a)
4
b)
2
c)
8
d)
1
40.
What is the GCF of 30 and 75?
a)
5
b)
25
c)
15
d)
30
41.
What is the GCF of 20, 10 and 18?
a)
4
b)
1
c)
2
d)
9
42.
Factor this expression using GCF:
27 + 39
a)
3(9 + 13)
b)
66
c)
9(3 + 4)
d)
1(27 + 39)
43.
Factor this expression using GCF:
36 + 24
a)
2 (18 + 12)
b)
3 (12 + 8)
c)
6(6 + 4)
d)
12 ( 3 + 2)
44.
Factor this expression using GCF:
45 + 30
a)
5 ( 9+ 6)
b)
3 ( 15 + 10)
c)
15 (3 + 2)
d)
1 (45 + 30 )
45.
12(3 + 4) =
a)
36 + 48
b)
15 + 16
c)
123 + 124
d)
0.84
46.
8(3 + 4) =
a)
24 + 32
b)
11 + 12
c)
123 + 124
d)
5 + 4
47.
8(3 + 4) =
a)
24 + 32
b)
11 + 12
c)
123 + 124
d)
5 + 4
48.
12(3 + 4) =
a)
36 + 48
b)
15 + 16
c)
123 + 124
d)
0.84
49.
Which expression uses the greatest common factor and distributive property to express
54 + 90?
a)
9 ( 6 + 10 )
b)
9 ( 6 + 90 )
c)
30 ( 24 + 60 )
d)
18 ( 3 + 5 )
50.
Rewrite using distributive property and GCF.
16 + 24
a)
2(8+12)
b)
3(5+8)
c)
4(4+6)
d)
8(2+3)
51.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

52.
Find the Greatest Common Factor (GCF) of 60 and 75
a)
1
b)
3
c)
5
d)
15
53.
Peter has 18 oranges and 12 bananas. 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)
3
b)
4
c)
5
d)
6
54.
What is the least common multiple (LCM) of 4 and 10?
a)
4
b)
40
c)
15
d)
20
55.
What is the least common multiple (LCM) of 6 and 8?
a)
6
b)
8
c)
48
d)
24
56.
What is the least common multiple (LCM) of 15 and 2?
a)
30
b)
2
c)
45
d)
152
57.
Two neon signs are turned on at the same time.  Both signs blink as they are turned on.  One sign blinks every 9 seconds.  The other sign blinks every 15 seconds.  In how many seconds will they blink together?
a)
30
b)
45
c)
50
d)
90
58.
Rewrite the sum of the numbers as the product of their GCF and another sum. 36 + 45 = ?
a)
6(6 + 9)
b)
3(12+15)
c)
9(4 + 5)
59.
Find the missing number using the distributive property.
10 + 20  =  2(5 +  __)
a)
2
b)
4
c)
5
d)
10
60.

What is the GCF of 30 and 18

a)

3

b)

2

c)

6

d)

9

61.

List the factors of 12.

a)

1, 2, 3, 4, 6, 12

b)

12, 24, 36, 48, 60...

c)

1, 12, 24, 4, 6

62.

What is the LCM of 7 and 4?

a)

14

b)

28

c)

16

d)

8

63.

Which is NOT an equivalent expression to 21 + 7?

a)

28

b)

7 (3 + 1)

c)

(7 + 3) (7 +1)

d)

(7 x 3) + (7 x 1)

64.

Kendra has a math test every 12 school days and a vocabulary test every 9 school days. She had both a math test and a vocabulary test today. The next time she will have both tests on the sam day will be the _______ day?

a)

3

b)

12

c)

36

65.

Ms. Winter makes homemade bath soaps and bottles of lotion. In her inventory, she has 24 bath soaps and 36 bottles of lotion. She wants to use all of her inventory to make as many gift baskets as she can using the same number of bath soaps and the same number of lotion bottles in each gift basket. How many gift baskets can she make?

a)

864

b)

3

c)

12

66.
2 x 2 x 2  or 23 is the prime factorization of
a)
6
b)
12
c)
22
d)
8
67.
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
68.
Using a Factor Tree, find the prime factorization of 75.  
a)
52 x 3
b)
5 x 5 x 3
c)
32 x 5
d)
15 x 5
69.
Use a number tree to find the prime factorization of 48
a)
4x2x6
b)
4x22x3
c)
3x24
d)
12x4
70.
Create a factor tree and find the prime factorization for 80
a)
24⋅5
b)
42⋅5
c)
2⋅2⋅2
d)
8⋅5⋅2

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