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M6 4.1-4.5

Total questions: 87

Worksheet time: 5hrs 46mins

Name
Class
Date
1.

Multiples of 3 are

a)

1, 3

b)

3, 6, 9, 12, 15...

2.

The numbers 1, 2, 3, 4, 6, 12

a)

factors of 12

b)

multiples of 12

3.

The numbers 12, 24, 36 are

a)

factors of 12

b)

multiples of 12

4.

Factors of 24 are

a)

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

b)

24, 48, 72...

5.
Find the GCF of 64 and 144
a)
8
b)
6
c)
16
d)
2
6.
GCF of 28 and 40
a)
2
b)
4
c)
7
d)
8
7.

What is the GCF of 81 and 18?

a)

3

b)

9

c)

81

d)

18

8.
What is the LCM of 32 and 40?
a)
180
b)
160
c)
140
d)
200
9.
What is the LCM of 45 and 72?
a)
72
b)
3,240
c)
360
d)
260
10.
Fill in the Blank: Least _______ ________
a)
Common Multilpier
b)
Common Multiple
c)
Common Factor
11.
Fill in the missing multiple.
3:  3, 6, 9, ___, 15, 18, 21
a)
10
b)
11
c)
12
d)
13
12.
Is 5 prime or composite? 
a)
Prime
b)
Composite
13.
All of these are prime except
a)
3
b)
9
c)
2
d)
13
14.
2 x 2 x 2 is the prime factorization of
a)
6
b)
12
c)
22
d)
8
15.
Use a number tree to find the prime factorization of 72
a)
2x2x2x3x3
b)
4x3x3x2
c)
4x2x2x2x2
16.
What is the prime factorization of 50?
a)
1, 2, 5, 10, 25, 50
b)
1 x 50
c)
2 x 25
d)
2 x 5 x 5
17.
What is the prime factorization of 24?
a)
2 x 12
b)
2 x 2 x 2 x 3
c)
4 x 6
d)
1, 2, 3, 4, 6, 8, 12, 24
18.
52 x 7 is the same as
a)
5 x 5 x 7
b)
10 x 7
c)
5 x 2 x 7
d)
70
19.
23 x 7 is the prime factorization of which number?
a)
42
b)
56
c)
28
d)
Not Here
20.
Is 17, a prime or composite number? 
a)
Prime
b)
Composite
21.
If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?
a)
2⋅3⋅5⋅7
b)
2³⋅3²⋅5⋅7
c)
2²⋅3²⋅5⋅7
d)
8⋅9⋅35
22.
Show what 73 means
a)
7 x 3
b)
3 x 7
c)
3 x 3 x 3 x 3 x 3 x 3 x 3
d)
7 x 7 x 7
23.

Which of the following are all prime numbers

a)

2, 3, 6, 7, 9

b)

2, 4, 8, 16

c)

2, 3, 5, 7, 9

d)

2, 3, 5, 7, 11

24.

In a power, an _______ is the the number that tells how many times the base is used as a factor.

a)

exponent

b)

base

c)

composite number

d)

prime number

25.

What is the missing factor?

a)

1

b)

2

c)

5

d)

8

26.

What are the missing factors?

a)

2 and 3

b)

3 and 6

c)

3 and 3

d)

1 and 9

27.

What is the missing factor?

a)

3

b)

5

c)

6

d)

7

28.
What fraction is represented at point C?
a)
3/6
b)
3/7
c)
2/6
d)
3/6
29.
Which point is 7/8?
a)
Point C
b)
Point D
c)
Point E
d)
Point F
30.
Which letter represents 2/6?
a)
X
b)
G
c)
C
d)
B
31.
What fraction is represented with an 'x' on the number line?
a)
1/8
b)
2/9
c)
1/9
d)
1/4
32.

What is the numerator of 1/4 ?

a)

1/4

b)

4

c)

1

d)

0.25

33.

What is the denominator of 1/4 ?

a)

1

b)

4

c)

1/4

d)

0.25

34.

What fraction does shaded part of the model represent?

a)

2/1

b)

1/2

c)

1/3

d)

1/4

35.

What fraction does shaded part of the model represent?

a)

1/4

b)

2/4

c)

1/2

d)

3/4

36.
a)

6/12

b)

2/8

c)

6/8

d)

2/4

37.

What fraction of the snowflakes are blue?

a)

7/8

b)

1/6

c)

5/1

d)

1/5

38.

Use a factor tree to find the prime factorisation of 168

a)

2×2×2×3×72\times2\times2\times3\times7  

b)

2×3×4×72\times3\times4\times7  

c)

2×2×3×72\times2\times3\times7  

d)

2×2×2×2×3×72\times2\times2\times2\times3\times7  

39.

Find the prime factorization of 60

a)

5 • 12

b)

2 • 32 • 5

c)

22 • 3 • 5

d)

27

40.

Find the prime factorization of 30

a)

22 • 5 • 7

b)

2 • 32

c)

2 • 3 • 7

d)

2 • 3 • 5

41.

Find the LCM (Least Common Multiple) of 18 and 24.

a)

6

b)

72

c)

24

d)

5

42.
Joe has listed the first 4 multiples of 7 as: 
7   14    22     28
Which one is incorrect?
a)
7
b)
14
c)
22
d)
28
43.

What is the smallest prime number?

a)

1

b)

2

c)

3

44.

Which of the following is a correct way to use a factor tree to express 48 as a product of prime factors?

a)
b)
c)

Both A and B are correct ways.

45.

What is the prime factorization of 3150 in exponential form?

a)

22×32×522^2\times3^2\times5^2  

b)

2×32×52×72\times3^2\times5^2\times7  

c)

2×33×72\times3^3\times7  

d)

52×32×115^2\times3^2\times11  

46.

What is the prime factorization of 100 in exponential form?

a)

2×532\times5^3  

b)

23×52^3\times5  

c)

2*5

d)

22×522^2\times5^2  

47.

What is the prime factorization of 72 in exponential form?

a)

23 ×322^{3\ }\times3^2  

b)

22×322^2\times3^2  

c)

92×19^2\times1  

d)

23×182^3\times18  

48.
which number below is NOT prime?
a)
7
b)
9
c)
2
d)
3
49.

Fill in the missing number to form an equivalent fraction.

a)

2

b)

3

c)

4

d)

5

50.

Fill in the missing number to form an equivalent fraction.

a)

3

b)

5

c)

8

d)

10

51.

Fill in the missing number to form an equivalent fraction.

(a)  

52.

Fill in the missing number to form an equivalent fraction.

(a)  

53.

Fill in the missing number to form an equivalent fraction.

(a)  

54.

Fill in the missing number to form an equivalent fraction.

(a)  

55.

Fill in the missing number to form an equivalent fraction.

(a)  

56.

Which fraction is equivalent to the fraction 13\frac{1}{3}  ?

a)

23\frac{2}{3}  

b)

36\frac{3}{6}  

c)

39\frac{3}{9}  

57.

Which fraction is equivalent to the fraction 14\frac{1}{4}  ?

a)

48\frac{4}{8}  

b)

28\frac{2}{8}  

c)

35\frac{3}{5}  

58.

Simplify 9/18

a)

1/2

b)

3/6

c)

9/18

d)

5/10

59.
Reduce 4/16  to lowest terms.
a)
4/16
b)
2/8
c)
1/4
d)
4
60.
Simplify  5/40  to lowest terms.
a)
2/20
b)
5/40
c)
8
d)
1/8
61.

1242\frac{12}{42}  

a)

27\frac{2}{7}   

b)

114\frac{1}{14}  

c)

621\frac{6}{21}  

d)

721\frac{7}{21}  

62.

1520\frac{15}{20}  

a)

35\frac{3}{5}  

b)

510\frac{5}{10}  

c)

25\frac{2}{5}  

d)

34\frac{3}{4}  

63.

2135\frac{21}{35}  

a)

735\frac{7}{35}  

b)

515\frac{5}{15}  

c)

35\frac{3}{5}  

d)

57\frac{5}{7}  

64.

4064\frac{40}{64}  

a)

1032\frac{10}{32}  

b)

58\frac{5}{8}  

c)

532\frac{5}{32}  

d)

1016\frac{10}{16}  

65.

Convert 2142\frac{1}{4}  to an improper fraction

a)

214\frac{21}{4}  

b)

94\frac{9}{4}  

c)

49\frac{4}{9}  

d)

24\frac{2}{4}  

66.

245\frac{24}{5}  Convert to a mixed number

a)

3 953\ \frac{9}{5}  

b)

3 253\ \frac{2}{5}  

c)

4 454\ \frac{4}{5}  

d)

4 154\ \frac{1}{5}  

67.

334\frac{33}{4}   Convert to a mixed number

a)

7 347\ \frac{3}{4}  

b)

6 246\ \frac{2}{4}  

c)

8 248\ \frac{2}{4}  

d)

8 148\ \frac{1}{4}  

68.

Convert 3143\frac{1}{4}  into an improper fraction. 

a)

11241\frac{12}{4}  

b)

133\frac{13}{3}  

c)

154\frac{15}{4}  

d)

None of the above

69.

Convert 2352\frac{3}{5}  into an improper fraction.

a)

135\frac{13}{5}  

b)

215\frac{21}{5}  

c)

105\frac{10}{5}  

d)

175\frac{17}{5}  

70.

Convert 168\frac{16}{8}  into a mixed number. 

a)

22  

b)

1781\frac{7}{8}  

c)

2182\frac{1}{8}  

d)

None of the above

71.

Which point represents 2/8 on the number line below?

a)

A

b)

B

c)

E

d)

G

72.

Name the shaded fraction.

a)

2/6

b)

4/8

c)

8/4

d)

1/4

73.

Name the numerator in the fraction.

a)

1

b)

3

c)

6

d)

5

74.



(a)  

75.



(a)  

76.

What is the name of this fraction?

(There are two answers).

a)

One half

b)

One whole

c)

Three fourths

d)

Four fourths

77.
What fraction of the rectangle is SHADED?
a)
1/10
b)
10/1
c)
9/10
78.
a)
3   1/4
b)
3   3/4
c)
2   1/4 
d)
3   4/4
79.
a)
2    1/2
b)
2    3/8
c)
2    5/8
d)
2    2/3
80.
a)
2   7/3
b)
2   2/3
c)
2   1/3
81.
a)
2   5/4
b)
3    1/4
c)
3    3/4
d)
2    1/4
82.
a)
3   3/5
b)
3    3/6
c)
3     1/2 
d)
3    2/5
83.
a)
2   5/8
b)
1   5/8
c)
1   3/8
d)
2   3/8
84.

Which improper fraction does the model represent?

a)

1/3

b)

10/3

c)

2/3

85.

Which improper fraction does the model represent?

a)

5/8

b)

13/8

c)

8/8

d)

3/8

86.

Which improper fraction does the model represent?

a)

18/5

b)

3/5

c)

2/5

d)

5/5

87.

Which improper fraction does the model represent?

a)

3/8

b)

19/8

c)

5/8