Free Printable hcf , lcm

1.

Which number is a factor of 10

a)

3

b)

4

c)

5

d)

8

2.

List the first 5 multiples of 3

a)

3, 6 10, 15, 20

b)

1, 3

c)

3, 6, 9, 12, 15

d)

6, 9, 12, 15, 18

3.

A prime number is...

a)

a number that has only one factor.

b)

a number that has at least two factors.

c)

a number that has more than two factors.

d)

a number that has only two factors.
(1 and itself)

4.

Which one is a multiple of 4?

a)

33

b)

22

c)

18

d)

24

5.

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

6.

Find the HCF of 21 and 28

a)

3

b)

4

c)

7

d)

14

7.

What is the LCM of 4 and 12?

a)

4

b)

8

c)

12

d)

16

8.

Find the HCF of 12 and 15 ?

a)

2

b)

2 x 3

c)

3

d)

60

9.

Find the HCF of 40 and 60?

a)

10

b)

20

c)

30

d)

None of the above

10.

What is the LCM of 6 and 8 ?

a)

12

b)

18

c)

24

d)

36

11.

Find the HCF of 30 and 36

a)

2

b)

3

c)

4

d)

6

12.

Which answer lists all the factors for 40?

a)

1,2,4,5,8,12,14,40

b)

1,2,3,4,5,8,10

c)

1,2,4,5,8,10,20,40

d)

1,2,4,5,6,7,8,9,10

13.

Which number is a multiple of 8?

a)

2

b)

4

c)

48

d)

46

14.

What are the next three multiples? 6, 12, 18, ___ ,___ ,___

a)

24, 30, 34

b)

24, 36, 42

c)

24, 30, 36

d)

22, 28, 34

15.

Which is a factor pair of 24?

a)

2,12

b)

3,5

c)

7,6

d)

8,5

16.

Which are factor pairs of 45?

a)

1,45,5,9

b)

1,3,7,9

c)

5,7,8,9

d)

7,9,5,2

17.

2

a)

Prime

b)

Composite

18.

15

a)

Prime

b)

Composite

19.

Multiples of 4

a)

4,8,12,16,20

b)

2,4,6,8

c)

1,2

d)

3,6,9

20.

Find the HCF of 12 and 16...

a)

2

b)

4

c)

6

d)

8

21.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

22.

Find the HCF of 8 and 24 ...

a)

2

b)

4

c)

6

d)

8

23.

Find the LCM of 8 and 24 ...

a)

24

b)

48

c)

32

d)

64

24.

Find the LCM of 5 and 8...

a)

40

b)

80

c)

20

d)

60

25.

Find the LCM of 6 and 8...

a)

12

b)

16

c)

24

d)

36

26.

Find the LCM of 6 and 9...

a)

18

b)

30

c)

24

d)

36

27.

Find the LCM of 10 and 12...

a)

80

b)

40

c)

60

d)

120

28.

Find the HCF of 20 and 24

a)

6

b)

4

c)

5

d)

12

29.

Find the HCF of 30 and 25

a)

5

b)

6

c)

10

d)

15

30.

Which number is a factor of 10

a)

3

b)

4

c)

5

d)

8

31.

A prime number is...

a)

a number that has only one factor.

b)

a number that has at least two factors.

c)

a number that has more than two factors.

d)

a number that has only two factors.
(1 and itself)

32.

Find the HCF of 12 and 15 ?

a)

2

b)

2 x 3

c)

3

d)

60

33.

What is the LCM of 4 and 12?

a)

4

b)

8

c)

12

d)

16

34.

Find the HCF of 30 and 36

a)

2

b)

3

c)

4

d)

6

35.

What are the next three multiples? 6, 12, 18, ___ ,___ ,___

a)

24, 30, 34

b)

24, 36, 42

c)

24, 30, 36

d)

22, 28, 34

36.

Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how long will they wait before they can have both during the same appointment?

a)

HCF

b)

LCM

37.

Sophie checks her bike for repairs every 9 days and Susan check hers every 12 days. If they both check their bikes today, after how many days do they next both check their bike again?

a)

HCF

b)

LCM

38.

There are two loaf cakes. One is 35cm long and one is 21cm long. They want to cut the cake up and sell the slices, but all the slices must be equal. What is the largest slices that they can cut them into?

a)

HCF

b)

LCM

39.

A carpenter got given some free wooden planks. Some are 12m long and some are 18m long. She wants to cut them up so that she has equal size planks to make using them easier. What size planks should she cut them into to avoid wasting any wood?

a)

HCF

b)

LCM

40.

Tom and Claire both like do short exercise that involve small breaks. Tom does a short burst of exercise every 2 minutes, and Claire does hers every 3 minutes. If they start doing their exercise at 9:00am, when do they both do their exercises again?

a)

HCF

b)

LCM

41.

51 is a _____________ of 3

a)

Factor

b)

Multiple

42.

Which is a NOT a factor of 9?

a)

0

b)

1

c)

3

d)

9

43.

What number is a factor for EVERY number?

a)

0

b)

1

c)

2

d)

100

44.

Find the HCF of 8 and 24 ...

a)

2

b)

4

c)

6

d)

8

45.

Find the LCM of 8 and 24 ...

a)

24

b)

48

c)

32

d)

64

46.

Find the HCF of 25 and 35

a)

10

b)

5

c)

7

d)

1

47.

What is the least common multiple (LCM) of 15 and 2?

a)

30

b)

2

c)

45

d)

152

48.

Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how long will they wait before they can have both during the same appointment?

a)

HCF

b)

LCM

49.

Sophie checks her bike for repairs every 9 days and Susan check hers every 12 days. If they both check their bikes today, after how many days do they next both check their bike again?

a)

HCF

b)

LCM

50.

Train A and Train B stops at Swindon as 10:30. Train A stops every 12 minutes and Train B stops every 14 minutes. When do they both stop at Swindon again?

a)

HCF

b)

LCM

51.

There are two loaf cakes. One is 35cm long and one is 21cm long. They want to cut the cake up and sell the slices, but all the slices must be equal. What is the largest slices that they can cut them into?

a)

HCF

b)

LCM

52.

An artist uses different types of paper to create her masterpieces. She has shiny metallic paper and pink glittery paper. The shiny paper comes in lengths of 24 inches and the glitter paper in lengths of 36 inches. She wants to make sure she can cut her paper into equal sizes but doesn’t want them to be too small. What’s the largest size she can cut them into without any waste?

a)

HCF

b)

LCM

53.

Florence wants to invest money abroad. Florence is aware that France generally has a recession every 6 years and America generally has a recession every 8. in the year 2005, both France and America were in recession. Florence needs to work out the next time they will both be in recession. When will this be?

a)

HCF

b)

LCM

54.

A carpenter got given some free wooden planks. Some are 12m long and some are 18m long. She wants to cut them up so that she has equal size planks to make using them easier. What size planks should she cut them into to avoid wasting any wood?

a)

HCF

b)

LCM

55.

Tom and Claire both like do short exercise that involve small breaks. Tom does a short burst of exercise every 2 minutes, and Claire does hers every 3 minutes. If they start doing their exercise at 9:00am, when do they both do their exercises again?

a)

HCF

b)

LCM

56.

What fraction of the circle is SHADED?

a)

⅙

b)

⅚

c)

¼

57.

What fraction of the circle is NOT shaded?

a)

⅓

b)

⅔

c)

¼

58.

Which picture shows 3/4?

a)

green

b)

blue

c)

purple

d)

pink

59.

The number on the top of a fraction is called what?

a)

numerator

b)

denominator

60.

The number on the bottom of a fraction is called what?

a)

numerator

b)

denominator

61.

What fraction of this shape is orange?

a)

2/8

b)

8/2

c)

3/8

d)

2/7

62.

What is the fraction of the shaded area of the shape?

a)

4/8

b)

1/8

c)

1/4

63.

What is the fraction of the shaded area?

a)

2/6

b)

7/8

c)

5/6

64.

If one circle is a whole, what is this fraction?

a)

11/12

b)

2 3/4

c)

2 1/4

d)

8 3/4

65.

The bottom number in a fraction is called the ______________.

a)

numerator

b)

denominator

c)

dividend

d)

divisor

66.

What fraction is red?

a)

1/4

b)

2/4

c)

3/4

d)

4/4

67.

What fraction of the balls are football?

a)

1/6

b)

2/6

c)

1/7

d)

1/5

68.

If you color in 2 more slices what is the fraction?

a)

3/8

b)

6/8

c)

5/8

d)

5/9

69.

What fraction of the rectangle is blue?

a)

1/6

b)

2/6

c)

6/2

d)

2/3

70.

1/8 x 3/4

a)

2/32

b)

3/32

c)

4/32

71.

2/5 x 3/7

a)

6/35

b)

6/30

c)

5/35

72.

3/4 x 2

a)

1 1/2

b)

6/2

c)

3

73.

3/8 x 11

a)

3 1/8

b)

33/8

c)

4 1/8

74.

3/5 x 5/7

a)

15/35

b)

3/7

c)

12/30

75.

2/5 x 5/6

a)

1 1/3

b)

1/3

c)

10/30

76.

The bleachers at a football game are 7/8 full, and 1/2 of the fans in the bleachers are rooting for the home team. What fraction of the bleachers are filled with home-team fans?

a)

5/14

b)

8/16

c)

7/16

77.

Lee is making chocolate chips cookies and the recipe calls for 3/4 cup of chocolate chips. If she wants to make 2/3 of the recipe, what fraction of a cup of chocolate chips will she need?

a)

1/2

b)

1/4

c)

1/3

78.

The table shows the fraction of the votes that each candidate received. If 230 students voted, how many students voted for each candidate?

a)

Nyemi: 128; Luke: 79; Natalie: 13

b)

Nyemi: 136; Luke: 67; Natalie: 24

c)

Nyemi: 138; Luke: 69; Natalie: 23

79.

Alberto rode 5/8 of the water rides at a water park. His sister, Reina, rode half of the rides that Alberto rode. What fraction of the water rides did Reina not ride?

a)

11/16

b)

12/16

c)

13/16

80.

7/9 x 1/2 =

a)

7/18

b)

14/9

c)

8/11

d)

1 5/9

81.

5/6 x 1/2 =

a)

5/6

b)

6/12

c)

5/12

d)

1/2

82.

4/9 x 2/3 =

a)

6/12

b)

8/27

c)

1/2

d)

6/27

83.

What is the answer to the model shown?

a)

1/16

b)

1/4

c)

7/16

d)

1/2

84.

What multiplication problem is being modeled in this picture?

a)

3/4 x 3/4

b)

4/3 x 4/3

c)

3/4 x 3/5

d)

3/4 x 4/3

85.

Charlotte bought 16 songs. 3/4 of the songs are pop songs. How many songs are pop songs?

a)

4

b)

8

c)

12

d)

16

86.

Sara took a test that had 24 questions on it. She got 4/6 of them correct. How many questions did she get correct?

a)

12

b)

15

c)

16

d)

25

87.

Mr. Walton ordered 12 pizzas for the art class celebration. 1/4 of them had mushrooms. How many pizzas had mushrooms?

a)

3

b)

4

c)

8

d)

9

88.

Use the model to find the product.

a)

4/15

b)

4/8

c)

1/2

d)

4/5

89.

Use the model to find the product.

a)

35/1

b)

2/12

c)

1/6

d)

1/35

90.

a)

2/45

b)

1 3/4

c)

10/45

d)

1 1/9

91.

1 ¼ × 2 ¾ =

a)

3 ⁷/₁₆

b)

1 ¹/₂

c)

2 ³/₁₆

d)

4 ¹/₄

92.

Lori is baking cookies. Her recipe calls for ²/₃ of a cup of milk. Lori decides she wants to triple the recipe. How much milk is needed?

a)

²/₉

b)

4 ½

c)

1

d)

2

93.

Arian spent 24 days at Grandma's house last summer. His brother spent ⅜ of that time at Grandma's. How many days did Arian's brother spend at Grandma's house last summer?

a)

6

b)

9

c)

14

d)

64

94.

What is the product of
⁵/₈ and 6?

a)

⁵/₁₀₈

b)

3 ³/₄

c)

2 ¹/₃

d)

6 ⁵/₁₈

95.

Mrs. Colucci is having a taco party. She using ¹/₅ pound of beef for each taco. If she plans on making 24 tacos, how much beef will she need? (Simplify your answer if possible.)

a)

2 ⁴/₅ pound of beef

b)

4 ⁴/₅ pound of beef

c)

5 ⁴/₅ pound of beef

d)

⁵/₂₄pound of beef

96.

What fraction is equivalent to 45/50

a)

6/8

b)

4/5

c)

9/10

d)

5/15

97.

What is 10/100 simplified?

a)

1/1

b)

1/1000

c)

10/1000

d)

1/10

hcf , lcm

Total questions: 97

Worksheet time: 7hrs 34mins

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