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Worksheets

Factors and Multiples and Fractions

Total questions: 125

Worksheet time: 6hrs 15mins

Name
Class
Date
1.

Which of the following is NOT a factor of 8?

a)

2

b)

4

c)

1

d)

6

2.

Which of the following are multiples of 6?

a)

2, 4, 6

b)

1, 2, 3, 6

c)

6, 12, 18, 24

d)

6, 12, 24, 48

3.

Which is a factor of 20?

a)

8

b)

10

c)

40

d)

3

4.

Which is a multiple of 15?

a)

30

b)

2

c)

5

d)

10

5.

A factor is:

a)

A number which multiplies by itself

b)

A number which is divisible by another number with no remainders

c)

A number that doubles each time

d)

A number which divides by itself

6.
Which is a NOT a factor of 9?
a)
0
b)
1
c)
3
d)
9
7.
Is 5 a factor of 80?
a)
Yes
b)
No
8.

Is 6 a factor of 12?

a)

Yes

b)

No

9.

A factor is larger than the given number?

a)

True

b)

False

10.

A multiple is larger than the given number?

a)

True

b)

False

11.

What are the factors of 15?

a)

1, 2, 3, 5, 15

b)

1, 3, 5, 15

c)

1, 2, 3, 4, 5

d)

1, 5, 10, 15

12.

What are the factors of 15?

a)

1, 2, 3, 5, 15

b)

1, 3, 5, 15

c)

1, 2, 3, 4, 5

d)

1, 5, 10, 15

13.

What are the factors of 24?

a)

1, 2, 3, 4, 5, 6, 7, 8, 24

b)

1, 3, 4, 6, 8, 10, 24

c)

1, 2, 3, 4, 6, 8, 12, 24

d)

1, 2, 4, 8, 12, 24

14.

What are the first five multiples of 3?

a)

6, 9, 15, 18, 21

b)

3, 6, 9, 12, 18

c)

3, 6, 9, 15, 18

d)

3, 6, 9, 12, 15

15.

What is the sixth multiples of 4?

a)

12

b)

18

c)

16

d)

24

16.

What are the common factors of 12 and 15?

a)

1, 2, 3

b)

2, 4, 5

c)

1, 3

d)

1, 5

17.

What are the common factors of 24 and 36?

a)

1, 2, 3, 4, 6, 12

b)

1, 3, 4, 6

c)

2, 4, 12

d)

1, 2, 3, 4, 5, 12

18.

What are the first six multiples of 7?

a)

14, 35, 21, 28, 42

b)

7, 28, 42, 35, 63

c)

7, 14, 28, 35, 42, 56

d)

7, 14, 21, 28, 35, 42

19.

Which of these are factor of 36

a)

6

b)

9

c)

3

d)

8

20.

Which of these are factors of 49

a)

1

b)

8

c)

7

d)

None of above

21.
The numerator is the ________ number in a fraction.
a)
Top
b)
Bottom
c)
Not sure
d)
Either
22.
The denominator is the ________ number in a fraction.
a)
Top
b)
Bottom
c)
Not sure
d)
Either
23.

What is the fraction of the shaded part?

a)

1/2

b)

4/8

c)

8/4

d)

6/8

24.

What is the fraction of the shaded part?

a)

1/6

b)

5/6

c)

1/4

25.

What is the fraction of the shaded part?

a)

1/3

b)

2/3

c)

1/4

26.

Half also means?

a)

1

b)

1/3

c)

1/2

d)

1/4

27.

1/3 also means?

a)

one- third

b)

whole

c)

half

d)

one - quarter

28.

Pick the correct image for the fraction 3/4

a)
b)
c)
29.

One - quarter also means?

a)

1/3

b)

1

c)

1/4

d)

1/2

30.

What is the fraction of the shaded part?

a)

6/1

b)

5/6

c)

1/5

d)

1/6

31.

Pick the correct image for the fraction 1/3

a)
b)
c)
32.

This is ?

a)

half or 1/2

b)

one-third or 1/3

c)

whole or 1

d)

one-quarter or 1/4

33.

If the numerator or TOP number in a fraction is smaller than the denominator, then you have a:

a)

proper fraction

b)

improper fraction

34.

The fraction 2/3 is less than 1.

a)

True

b)

False

35.

Identify the correct type of fraction:

33\frac{3}{3}  

a)

Proper Fraction

b)

Improper Fraction

c)

Mixed Numbers

36.

A number with a whole number and a fraction part is called a/an ______________.

a)

Improper Fraction

b)

Proper Fraction

c)

Mixed Number

d)

Simplest Form Fraction

37.

Identify the correct type of fraction:

4384\frac{3}{8}  

a)

Proper Fraction

b)

Improper Fraction

c)

Mixed Numbers

38.

What mixed number is shown in this model?

a)

3 2/3

b)

11/12

c)

4 2/3

39.

Select the model that shows 4 4/8.

a)
b)
c)
40.

Choose the mixed number this image represents:

a)

2 1/2

b)

5/2

c)

2 1/1

d)

3

41.
What improper fraction is shown by the picture?
a)
13/8
b)
13/16
c)
13/4
d)
3    1/4
42.
Which is the correct improper fraction for the shaded area in the picture?
a)
9/5
b)
2/5
c)
10/5
d)
2/1
43.

Improper fractions can be written as mixed numbers.

a)

True

b)

False

44.

What is the correct decomposition of 175\frac{17}{5}  

a)

55+55+55+35\frac{5}{5}+\frac{5}{5}+\frac{5}{5}+\frac{3}{5}  

b)

55+25\frac{5}{5}+\frac{2}{5}  

c)

55+55+55+25\frac{5}{5}+\frac{5}{5}+\frac{5}{5}+\frac{2}{5}  

d)

55+55+25\frac{5}{5}+\frac{5}{5}+\frac{2}{5}  

45.

How many wholes can you form from the improper fraction 15/3?

a)

5

b)

4

c)

3

d)

1

46.

If I have 8/3, how many WHOLES do I have?

a)

3

b)

1

c)

2

47.

Which expression shows the necessary math for making

2 252\ \frac{2}{5}  into an improper fraction

a)

2÷5+22\div5+2  

b)

2×5×22\times5\times2  

c)

2×5+22\times5+2  

d)

2×5−22\times5-2  

48.

34\frac{3}{4}  

a)

Proper Fraction

b)

Improper Fraction

49.

153\frac{15}{3}  

a)

Proper Fraction

b)

Improper Fraction

50.

Convert 106\frac{\text{10}}{\text{6}}  to a mixed number.

a)

2  410\frac{4}{10}  

b)

1461\frac{\text{4}}{\text{6}}  

c)

4464\frac{\text{4}}{\text{6}}  

d)

2462\frac{\text{4}}{\text{6}}  

51.
Convert this mixed number to an improper fraction.
a)
1/6
b)
21/6
c)
13/6
d)
12/6
52.

Convert this fraction into mixed number

229\frac{22}{9}  

a)

2 392\ \frac{3}{9}  

b)

2 492\ \frac{4}{9}  

c)

2 292\ \frac{2}{9}  

53.

Convert the mixed number to an improper fraction.

a)

12611\frac{126}{11}

b)

1617\frac{16}{17}

c)

11011\frac{110}{11}

d)

11611\frac{116}{11}

54.

Equivalent fractions look different but share the same position on the number line because they have the same value

a)

False

b)

True

55.

1/2 = 50/100

a)

True

b)

False

56.

2/3=18/27

a)

True

b)

False

57.

Equivalent Fractions can be made by:

a)

A. Adding and Subtracting

b)

B. Multiplying and Dividing

58.

4/6=16/?

a)

A.12

b)

B.18

c)

C.24

d)

D.20

59.

7/8=?/72

a)

A.63

b)

B.42

c)

C.21

d)

D.77

60.

4/6=

a)

A.

6/12; 12/18; 16/24

b)

B.

5/7; 10/14; 15/21

c)

C

1/3; 2/6; 4/12

61.

5/5=

a)

A. 1

b)

B. 10/10

c)

C. 15/15

62.

2/10=?/40

a)

A. 20

b)

B. 8

c)

C. 16

d)

D. 25

63.
Which is greater?
a)
3/4
b)
3/6
64.
Which is less?
a)
6/8
b)
3/8
65.
3/5 ____ 1/2
a)
>
b)
<
c)
=
66.
a)
<
b)
>
c)
=
67.
Paige rode her bike 4/5 mile. Megan rode her bike 1/3 mile.   Which statement is true?
a)
4/5=1/3
b)
4/5 > 1/3 
c)
1/3 > 4/5
d)
4/5 < 1/3 
68.
Fractions are shown.  
1/3, 1/4, 5/8 
Order the fractions from least to greatest.
a)
1/4, 5/8, 1/3
b)
1/4, 1/3, 5/8 
c)
5/8, 1/3, 1/4
d)
1/3, 1/4, 5/8
69.
Put these fractions in order from least to greatest:
1/4, 1/6, 1/2
a)
1/2, 1/4, 1/6
b)
1/6, 1/2, 1/4
c)
1/6, 1/4, 1/2
d)
1/4, 1/6, 1/2
70.
1/3, 3/5, 2/4
Which shows these fractions in correct order? 
a)
1/3, 2/4, 3/5
b)
2/4, 1/3, 1, 3/5
c)
1/3, 3/5, 2/4
d)
2/4, 3/5, 1/3 
71.

Choose the word TRUE if the statement is correct. Otherwise, choose FALSE.


In adding similar fractions, simply add the denominators.

a)

TRUE

b)

FALSE

72.

In adding or subtracting similar fractions, what should you do in their denominators?

a)

Add or subtract

b)

Copy

c)

Find their LCD

d)

None of these

73.

What type of fractions are the following?

a)

similar fractions

b)

dissimilar fractions

c)

mixed fractions

d)

unit fractions

74.

The following are examples of _______________ fractions.

a)

similar

b)

dissimilar

c)

mixed

d)

unit

75.

Add and simplify 4/7 and 3/7.

a)

6/7

b)

1

c)

1 4/7

d)

7/49

76.

What is 2/8 + 3/8 = ?

a)
b)
c)
77.

What is the sum of 68\frac{6}{8} and 58\frac{5}{8}  ?

a)

118\frac{11}{8}  

b)

1116\frac{11}{16}  

c)

1 381\ \frac{3}{8}  

d)

1 181\ \frac{1}{8}  

78.
2 3/8 + 1 1/8 =
a)
- 3 4/16
b)
-3 1/2
c)
3 1/2
d)
3 4/16
79.

The sum of two fraction is 3 1/4. One fraction is 1 3/4. Find the other fraction.

a)

2 1/3

b)

1 1/2

c)

3 1/2

d)

4 1/3

80.

When can we add or subtract fractions?

a)

We can add or subtract fractions if and only if their denominators are the same.

b)

We can only add or subtract fractions if and only if their numerators are the same.

c)

We can add or subtract fractions if and only if they are dissimilar.

d)

We can add or subtract fractions simply by adding or subtracting their numerators as well as adding or subtracting their denominators.

81.
What is the least common denominator of 1/2 and 3/7?
a)
2
b)
14
c)
7
d)
28
82.
a)
1/4
b)
2/4
c)
3/4
d)
2/6
83.
a)

1 4/15

b)

2 5/15

c)

1 5/15

d)

2 4/15

84.

Add and simplify if needed. 3/4 + 1/8 =

a)

7/8

b)

4/8

c)

7/32

d)

4/32

85.
a)
1/20
b)
2/20
c)
4/20
d)
11/20
86.

7/8 - 7/12

a)

7/24

b)

1/4

c)

7/12

d)

4/24

87.


2 210+5 15=2\ \frac{2}{10}+5\ \frac{1}{5}=  Reduce if needed.

a)

5 345\ \frac{3}{4}  

b)

7 257\ \frac{2}{5}  

c)

3 353\ \frac{3}{5}  

d)

7 4107\ \frac{4}{10}  

88.

6 24 −2 25=6\ \frac{2}{4\ }-2\ \frac{2}{5}=  
Reduce if needed.

a)

5 275\ \frac{2}{7}  

b)

4 2204\ \frac{2}{20}  

c)

6 126\ \frac{1}{2}  

d)

4 1104\ \frac{1}{10}  

89.

5 −3 23=5\ -3\ \frac{2}{3}=  

a)

2 232\ \frac{2}{3}  

b)

1 131\ \frac{1}{3}  

c)

2 132\ \frac{1}{3}  

90.

Liza has 1/4 kilograms of beef and 2/8 kilograms of chicken in her refrigerator. How many kilograms of meat does she have in her refrigerator?

a)

1/2

b)

1/4

c)

2/3

d)

3/4

91.

A cake requires 2/5 cup of sugar for frosting and 1/5 cup of sugar for the cake. What is the total amount of sugar needed?

a)

3/5

b)

1/5

c)

2/5

d)

4/5

92.

Jonah painted 1/5 of their fence in the morning and 3/10 in the

afternoon. How much fence has she painted?

a)

1/2

b)

1/3

c)

1/8

d)

1/7

93.

Mr. Escobar has 4/8 box of nails to make a cabinet. He used 3/8 box of nails to make a cabinet. How much does he have left?

a)

4/8

b)

3/8

c)

2/8

d)

1/8

94.

Joseph walked 6/8 kilometer in going to school while Michael walked 2/4 kilometer. Who walked longer and by how many kilometer?

a)

Joseph by 2/8 km

b)

Michael by 1/2 km

c)

Michael by 3/8 km

d)

Joseph by 1/4 km

95.

Mrs. Romero bought 4/5 kilogram of cabbage and 2/10 kilograms of carrots. How many kilograms of cabbage did Mrs. Romero buy than carrots?

a)

2/3 kg

b)

3/5 kg

c)

4/7 kg

d)

5/8 kg

96.
GCF stands for 
a)
Greatest common factor
b)
Greatest common fraction
c)
Giant cat fingernail 
d)
Greatest calculated factor
97.
LCM stands for
a)
Least correct multiple
b)
Latest common multiple
c)
Least common multiple
d)
Laser classroom mouse
98.

TRUE or FALSE?


A FACTOR is greater than the given number.

a)

TRUE

b)

FALSE

99.

TRUE or FALSE?


A Multiple is equal or bigger than the given number

a)

TRUE

b)

FALSE

100.
Is 3 a factor of 12?
a)
yes
b)
no
101.

True or False...

40,500 is divisible by 6

a)

True

b)

False

102.

All of these numbers are divisible by 5 except...

a)

1050

b)

155

c)

980

d)

2938

103.

Is 2,385 divisible by 10?

a)

Yes

b)

No

104.

Is 1,943,806 divisible by 2?

a)

Yes

b)

No

105.

Is 60,714 divisible by 3?

a)

Yes

b)

No

106.

105 is NOT divisible by which of the following numbers?

a)

1

b)

5

c)

3

d)

2

107.

Which of these numbers is divisible by 2 AND 5?

a)

675

b)

674

c)

670

d)

673

108.

360 is divisible by... (select all that apply)

a)

6

b)

2

c)

3

d)

10

e)

5

109.

55 is divisible by what number?

a)

5

b)

2

c)

10

d)

6

110.

Is 81 divisible by 3?

a)

Yes

b)

No

111.

543 is divisible by which of the following? Select all that apply.

a)

5

b)

2

c)

10

d)

3

e)

6

112.

684,933 is divisible by which of the following numbers? (select all that apply)

a)

3

b)

5

c)

2

d)

6

e)

10

113.

864 is divisible by which of the following numbers? (select all that apply)

a)

3

b)

2

c)

5

d)

6

e)

10

114.

What is the divisibility rule for 5?

a)

It is divisible by 2 and 3

b)

The last digit is a five

c)

The last digit is five or zero

d)

The last digit is zero

115.
Which of the following is an even number?
a)
1
b)
9
c)
4
d)
5
116.

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

117.
All of these numbers are divisible by 5 except for...
a)
75,395
b)
984,940
c)
222,222,235
d)
8,943,892
118.

Is 81 divisible by 3?

a)

Yes, because the sum of the digits is 9, a multiple of 3

b)

No, because 81 is an odd number

c)

Yes, because 81 is an odd number

d)

No, because 81 does not end in 3

119.
Insert the correct digit to make the following number divisible by 3.
60__2
a)
1
b)
2
c)
3
d)
5
120.

54,322 is divisible by 3

a)

True

b)

False

121.

What is the divisibility rule for 1

a)

It has to be an even number

b)

Every number is divisible by 1

c)

Add up all of the digits and if it is divisible by 1 then the whole number is.

122.

insert the greatest digit to make the following number divisible by 3.

98732_6

a)

9

b)

8

c)

7

d)

1

123.

240 is divisible by 6. True or False?

a)

True

b)

False

124.

A number is divisible by 10 if

a)

It is even

b)

It ends in 0

c)

It ends in 0 or 5

d)

The sum of the digits is a multiple of 10

125.

Check all the numbers that are divisible by 5 and 10.

a)

10,500

b)

20,005

c)

12,430

d)

11,901