Free Printable Maths

1.

Write 36 as the product of it's prime factors...

a)

2 x 2 x 3 x 3

b)

2 x 2 x 2 x 3

c)

2² x 3²

d)

2² x 3

2.

Write 16 as the product of it's prime factors...

a)

2 x 2 x 2 x 2

b)

2 x 2 x 2

c)

2³

d)

2⁴

3.

Write 80 as the product of it's prime factors...

Write your answer in index form...

a)

2⁴ x 5

b)

2 x 2 x 2 x 5 x 5

c)

2 x 2 x 2 x 2 x 5

d)

2³ x 5²

4.

What number is never allowed in a factor tree?

a)

13 (it's bad luck!)

b)

1

c)

8675309

d)

2

5.

Write 144 as the product of it's prime factors...

a)

2³ x 3²

b)

2 x 2 x 2 x 3 x 3

c)

2 x 2 x 2 x 2 x 3 x 3

d)

2⁴ x 3²

6.

210 written as a product of its prime factors is 2x3x5x7.

a)

True

b)

False

7.

Write 54 as a product of its prime factors.

a)

2x2x3x3

b)

2x3x3x3

c)

2x3x9

d)

6x9

8.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

9.

Find the HCF of 12 and 16...

a)

2

b)

4

c)

6

d)

8

10.

What is 34 as a product of its prime numbers in ascending order

a)

2x17

b)

3x17

c)

17x2

d)

3x4x2

11.

A number is expressed as

2³x 3³x 5.

What is the number?

a)

11

b)

72

c)

270

d)

1080

12.

How should you express 96 as a product of its prime factors?

a)

32 x 3

b)

3 x 2⁵

c)

2 x 48

d)

1 x 2⁵x 3

13.

What is 720 as a product of its prime factors?

a)

2⁴ x 3² x 5

b)

16 x 3³x 5

c)

2³ x 4² x 3

d)

2⁶x 7

14.

Find the LCM of 120 and 150.

a)

300

b)

360

c)

450

d)

600

15.

Find the HCF of 32 and 80.

a)

8

b)

16

c)

24

d)

32

16.

What is the HCF of 72 and 120

a)

22

b)

24

c)

26

d)

28

17.

What is the LCM of 72 and 108?

a)

144

b)

216

c)

280

d)

312

18.

Ben exercises every 12 days and Isabel every 8 days. Ben and Isabel both exercised today. How many days will it be until they exercise together again?

a)

4

b)

6

c)

12

d)

24

19.

210 written as a product of its prime factors is 2x3x5x7.

a)

True

b)

False

20.

Find the HCF and LCM of 15, 20 and 35.

a)

HCF = 5 and LCM = 420

b)

HCF = 5 and LCM = 402

c)

HCF = 15 and LCM = 10500

d)

HCF = 5 and LCM = 10500

21.

Write 36 as the product of it's prime factors...

a)

2 x 2 x 3 x 3

b)

2 x 2 x 2 x 3

c)

2² x 3²

d)

2² x 3

22.

Write 16 as the product of it's prime factors...

a)

2 x 2 x 2 x 2

b)

2 x 2 x 2

c)

2³

d)

2⁴

23.

Write 80 as the product of it's prime factors...

Write your answer in index form...

a)

2⁴ x 5

b)

2 x 2 x 2 x 5 x 5

c)

2 x 2 x 2 x 2 x 5

d)

2³ x 5²

24.

What number is never allowed in a factor tree?

a)

13 (it's bad luck!)

b)

1

c)

8675309

d)

2

25.

Write 144 as the product of it's prime factors...

a)

2³ x 3²

b)

2 x 2 x 2 x 3 x 3

c)

2 x 2 x 2 x 2 x 3 x 3

d)

2⁴ x 3²

26.

210 written as a product of its prime factors is 2x3x5x7.

a)

True

b)

False

27.

Write 54 as a product of its prime factors.

a)

2x2x3x3

b)

2x3x3x3

c)

2x3x9

d)

6x9

28.

What is the product of 4 and 6?

a)

46

b)

24

c)

48

29.

Which is not a factor of 24?

a)

2

b)

3

c)

4

d)

5

30.

The factors of 16 are 1, 2, 4, 8, 16

While the factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

What are the Common Factors?

a)

1,2,3,4,5

b)

1,2,4,6,8

c)

12,3,4,6,8,12,16,24

31.

Which number is a factor of 18, but not a multiple of 2?

a)

36

b)

9

c)

8

d)

24

32.

List the first five multiples of 8.

a)

1, 2, 4, 8

b)

8, 16, 25, 32, 40

c)

8, 16, 24, 32, 40

d)

8, 16, 24, 31, 40

33.

List the first 5 MULTIPLES of 3

a)

3, 6 10, 15, 20

b)

1, 3, 2, 6, 4

c)

3, 6, 9, 12, 15

d)

6, 9, 12, 15, 18

34.

Factors are numbers that we can multiply together to get another number.

a)

True

b)

False

35.

Which is not a factor of 36?

a)

1

b)

5

c)

6

d)

12

36.

Which number is a factor of 12?

a)

2

b)

9

c)

8

d)

24

37.

Which number is a multiple of 18?

a)

2

b)

9

c)

36

d)

24

38.

Find the LCM of 32 and 40.

a)

80

b)

2

c)

8

d)

24

39.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

40.

A number is expressed as

2³x 3³x 5.

What is the number?

a)

11

b)

72

c)

270

d)

1080

41.

How should you express 96 as a product of its prime factors?

a)

32 x 3

b)

3 x 2⁵

c)

2 x 48

d)

1 x 2⁵x 3

42.

What is 720 as a product of its prime factors?

a)

2⁴ x 3² x 5

b)

16 x 3³x 5

c)

2³ x 4² x 3

d)

2⁶x 7

43.

Find the LCM of 120 and 150.

a)

300

b)

360

c)

450

d)

600

44.

What is the HCF of 72 and 120

a)

22

b)

24

c)

26

d)

28

45.

Ben exercises every 12 days and Isabel every 8 days. Ben and Isabel both exercised today. How many days will it be until they exercise together again?

a)

4

b)

6

c)

12

d)

24

46.

210 written as a product of its prime factors is 2x3x5x7.

a)

True

b)

False

47.

Which number has 215 as one of its multiples?

a)

40

b)

15

c)

43

d)

25

48.

Which number has a factor of 16?

a)

258

b)

112

c)

596

d)

452

49.

What is 500 as a product of its primes

a)

5²x 3³

b)

5³x 2³

c)

5³ x 2²

d)

5 x 3 x 2⁴

50.

Which number is a multiple of 3?

a)

27

b)

28

c)

29

51.

Which one is a multiple of 4?

a)

33

b)

22

c)

24

52.

Find the missing multiple.

10: 10, 20, 30, 40, ___, 60, 70, 80

a)

100

b)

50

c)

55

53.

Fill in the missing multiple.

3: 3, 6, 9, ___, 15, 18, 21

a)

10

b)

11

c)

12

54.

Which of the following shows the multiples of 12?

a)

12,22,53,60

b)

4,8,12,16,24

c)

12,24,36,48,60

55.

List the first 5 multiples of 3

a)

3,6,10,15,20

b)

3,6,9,12,15

56.

List the first 5 multiples of 8

a)

1,2,4,8

b)

8,16,24,32,40

57.

What is the next multiple?

12, 24, 36, 48, _____

a)

50

b)

60

58.

Fill in the blank:

2, 4, 6, 8, 10, 12, ____, 16, 18 ,20

a)

13

b)

14

c)

15

d)

17

59.

Which of the following shows the multiples of 5:

a)

0,2,4,6,8,10

b)

A,B,C,D,E,F

c)

5,10,15,20,25,30

60.

28 girls and 32 boys volunteer to plant trees at a school. The principal divides the girls and boys into groups with the same number of boys and girls. What is the greatest number of groups the principal can make?

(a)

61.

There are 6 trombones, 12 saxophones, and 21 trumpets in the jazz ensemble. Mr. Smith wants them to sit in rows, and he wants each sections to have the same number of rows. What is the greatest number of people that can be in a row?

(a)

62.

What is the LCM for 11 and 55?

a)

11

b)

55

c)

165

d)

5

63.

LCM stands for

a)

Least correct multiple

b)

Latest common multiple

c)

Least common multiple

d)

Laser classroom mouse

64.

What is the least common multiple (LCM) of 2 and 5?

a)

2

b)

10

c)

20

d)

7

65.

What is the LCM of 22 and 6?

a)

6

b)

22

c)

42

d)

66

66.

Melanie and Martin are both building a toy train track out of connecting pieces. Melanie has pieces that are 8 inches long while Martin's pieces are 20 inches long. How long will the shortest track be that they can each build with the same length?

a)

2

b)

40

c)

4

d)

20

67.

Eason 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

68.

What does the shaded portion of the Venn diagram represent?

a)

Band and Art

b)

Only Art

c)

Band or Art

d)

Neither

69.

How many senior boys play football and wrestle?

a)

9

b)

12

c)

18

d)

39

70.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

71.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

72.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

73.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

74.

How many senior boys play football but do not wrestle?

a)

9

b)

12

c)

18

d)

104

75.

Left Pocket (L) = {pencils, erasers, pens}
Right Pocket (R) = {gloves, paper, coins, phone}
What is L ∩ R?

a)

∅

b)

{pencils, erasers, pens}

c)

{gloves, paper, coins, phone}

d)

{pencils, erasers, pens, gloves, paper, coins, phone}

76.

The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

77.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

78.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

79.

How many students took French and Spanish?

a)

18

b)

3

c)

15

d)

104

80.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

81.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

82.

If X = {a, e, i, o, u} and Y = {a, b, c, d, e}, then what is Y - X ?

a)

{a, e}

b)

{i, o, u}

c)

{b, c, d}

d)

{b, c, d, i, o, u}

83.

a)

{casey, drew, jade}

b)

{alex, blair, erin, francis, glen, hunter, ira}

c)

{alex, blair, erin, francis, hunter, ira}

d)

{blair, erin, francis, ira}

84.

a)

{casey, drew, jade, glen}

b)

{alex, glen, hunter, jade}

c)

{casey, drew, glen}

d)

{drew, jade}

85.

Suppose A = {red, blue, yellow}, B = {Red, yellow, green}, and C = {green, red, purple}. Which set is equivalent to $\left(A\cup B\right)\cap C$ ?

a)

{purple}

b)

{red}

c)

{red, green}

d)

{yellow, purple}

86.

Which is the correct set notation for the complement of A union B ?

a)

{12, 14, 15, 18, 21}

b)

{10, 11, 12, 14, 15, 18, 21}

c)

{10, 11, 13, 16, 17, 19, 20}

d)

{12, 14, 15}

87.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

88.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

89.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

90.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

91.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

92.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

93.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

94.

Identify the shaded area...

a)

A'∩B

b)

A∩B'

c)

A∪B'

d)

A'∪B

95.

Identify the shaded area...

a)

A'∩B

b)

A∩B'

c)

A∪B'

d)

A'∪B

96.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play football?

a)

⁶⁶/₈₀

b)

⁴/₈₀

c)

¹⁸/₈₀

d)

⁴⁹/₈₀

97.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play football only?

a)

⁶⁶/₈₀

b)

⁴/₈₀

c)

¹⁸/₈₀

d)

⁴⁹/₈₀

98.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play all three sports?

a)

³¹/₈₀

b)

⁴⁵/₈₀

c)

⁶²/₈₀

d)

⁶⁷/₈₀

99.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play Hockey and Rugby?

a)

³⁶/₈₀

b)

⁵/₈₀

c)

⁴¹/₈₀

d)

⁴⁴/₈₀

100.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play Hockey and Rugby but not Football?

a)

³⁶/₈₀

b)

⁵/₈₀

c)

⁴¹/₈₀

d)

⁴⁴/₈₀

101.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play any of the three sports?

a)

⁷⁹/₈₀

b)

¹/₈₀

c)

⁷⁴/₈₀

d)

⁶/₈₀

102.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they don't play any of the three sports?

a)

⁷⁹/₈₀

b)

¹/₈₀

c)

⁷⁴/₈₀

d)

⁶/₈₀

103.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play Rugby or Hockey?

a)

⁷⁵/₈₀

b)

⁸/₈₀

c)

¹³/₈₀

d)

⁴⁴/₈₀

104.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play Rugby or Hockey but not Football?

a)

⁷⁵/₈₀

b)

⁸/₈₀

c)

¹³/₈₀

d)

⁴⁴/₈₀

105.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they don't play Rugby?

a)

²⁴/₈₀

b)

⁷⁷/₈₀

c)

²³/₈₀

d)

¹⁷/₈₀

106.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they don't play Football?

a)

¹⁴/₈₀

b)

¹³/₈₀

c)

⁷⁶/₈₀

d)

⁷⁵/₈₀

107.

What statement does the shaded region represent

a)

A or B

b)

Not A

c)

A and B

d)

Not B

108.

How many senior boys play football or wrestle?

a)

9

b)

21

c)

30

d)

39

109.

What is the probability that someone plays basketball?

a)

.50

b)

.68

c)

.52

d)

.46

110.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

111.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

112.

How many senior boys play football AND wrestle?

a)

9

b)

12

c)

18

d)

39

113.

What does the shaded portion of the Venn diagram represent?

a)

Band and Art

b)

Only Art

c)

Band or Art

d)

Neither

114.

What statement does the shaded region represent?

a)

A or B

b)

A and B

c)

A

d)

B

115.

What is the intersection of sets A and B?

A ⋂ B = ______

a)

1, 2, 3, 4. 5

b)

1, 2

c)

3, 4, 6, 8

d)

3, 4

116.

What does this symbol ( ∩ )?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

117.

What does this symbol ( ∪ ) represent?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

118.

What is the probability of spinning the fair 8-sided spinner and landing on the 7?

a)

impossible - 0 / 8

b)

1 / 2

c)

1 / 8

d)

7 / 8

119.

What is the probability of spinning a fair 6-sided spinner and landing on an odd number?

a)

1 / 2

b)

5 / 6

c)

6 / 6 or 1

d)

0 / 6

120.

If you randomly pick from the following M & M colors from a bag, what is the probability that you choose blue?

5 green

6 yellow

8 blue

7 brown

a)

8/26 or 4/13

b)

7/26

c)

8/25

d)

1/3

121.

What is the probability of spinning green?

a)

0

b)

1/4

c)

1/2

d)

3/4

122.

Find the probability of drawing a 10 from a standard deck of 52 cards. Simplify your fraction.

a)

1/52

b)

4/13

c)

1/2

d)

1/13

123.

P(not A) =
*Remember to simplify.*

a)

6/8

b)

3/4

c)

2/8

d)

1/4

124.

How do you write 0.02 as a percent?

a)

20%

b)

200%

c)

2%

d)

.02%

125.

If the probability of an event is 2/9, what is the percent chance?

a)

22%

b)

29%

c)

38%

d)

42%

126.

Describe the shading of this Venn Diagram.

a)

NOT B

b)

NOT A

c)

Intersection of A and B

d)

A U B

127.

Raawi asks his classmates if they have brown hair or wear glasses. B = {students with brown hair} and G = {students with glasses}. His results are shown in the Venn diagram. How many students have brown hair?

a)

13

b)

16

c)

20

d)

22

128.

How many students have all 3 streaming services?

a)

40

b)

360

c)

10

d)

140

129.

How many senior boys play football AND wrestle?

a)

9

b)

12

c)

18

d)

39

130.

How many senior boys play football but do not wrestle?

a)

9

b)

12

c)

18

d)

104

131.

How many senior boys play football OR wrestle?

a)

9

b)

21

c)

30

d)

39

132.

What does the shaded portion of the Venn diagram represent?

a)

Band and Art

b)

Only Art

c)

Band or Art

d)

Neither

133.

Identify the shaded area...

a)

A

b)

B

134.

Find the probability that the whales OR the fish can swim.

a)

0

b)

0.25

c)

0.5

d)

1

135.

Find the probability of getting a red shape.

a)

$\frac{5}{9}$

b)

$\frac{3}{9}$

c)

$\frac{1}{3}$

136.

How many 4 sided red shapes are there?

(a)

137.

Find the probability of getting a 4 sided shapes.

a)

$\frac{6}{9}$

b)

$\frac{4}{9}$

c)

$\frac{2}{3}$

d)

$\frac{2}{9}$

138.

How many people own cats?

a)

3

b)

4

c)

6

d)

7

e)

10

139.

How many people ONLY own dogs?

a)

3

b)

4

c)

6

d)

7

e)

9

140.

How many people only own cats and dogs?

a)

3

b)

4

c)

6

d)

7

e)

9

141.

Raawi asks his classmates if they have brown hair or wear glasses. B = {students with brown hair} and G = {students with glasses}. His results are shown in the Venn diagram. How many students wear glasses?

a)

2

b)

3

c)

5

142.

Raawi asks his classmates if they have brown hair or wear glasses. B = {students with brown hair} and G = {students with glasses}. His results are shown in the Venn diagram. How many students are in B $\cup$ G?

a)

3

b)

15

c)

18

d)

22

143.

Raawi asks his classmates if they have brown hair or wear glasses. B = {students with brown hair} and G = {students with glasses}. His results are shown in the Venn diagram. How many students are in the complement of G?

a)

18

b)

17

c)

16

d)

13

144.

Raawi asks his classmates if they have brown hair or wear glasses. B = {students with brown hair} and G = {students with glasses}. His results are shown in the Venn diagram. How many students are in B $\cap$ G?

a)

2

b)

3

c)

4

d)

18

145.

Raawi asks his classmates if they have brown hair or wear glasses. B = {students with brown hair} and G = {students with glasses}. His results are shown in the Venn diagram. What is the probability that a student does has brown hair and wears glasses?

a)

$\frac{3}{18}$

b)

$\frac{3}{22}$

c)

$\frac{18}{22}$

146.

Find P(coloured shape)

a)

$1$

b)

$\frac{3}{4}$

c)

$\frac{1}{2}$

d)

$\frac{1}{4}$

e)

$0$

147.

What is the missing factor?

a)

1

b)

2

c)

5

d)

8

148.

What are the missing factors?

a)

2 and 3

b)

3 and 6

c)

3 and 3

d)

1 and 9

149.

What is the missing factor?

a)

3

b)

5

c)

6

d)

7

150.

What are the factors of 25?

a)

1, 2, 3, 5, 10, 15, 25

b)

1, 5, 25

c)

1, 25

d)

1, 5

151.

What are the factors of 24?

a)

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

b)

1, 3, 6, 8, 24

c)

1, 2, 3, 4, 6

d)

1, 24

152.

Find the prime number

a)

10

b)

9

c)

7

d)

4

153.

What factors do these numbers (18 and 27) have in common?

a)

2

b)

2 and 3

c)

3 and 3

d)

3

154.

What factors do these numbers (16 and 24) have in common?

a)

2

b)

3

c)

2 and 2

d)

2, 2, and 2

155.

Which number is a factor of 36?

a)

7

b)

9

c)

10

d)

5

156.

Which number is a factor of 54?

a)

5

b)

9

c)

4

d)

3

Maths

Total questions: 156

Worksheet time: 6hrs 39mins

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