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Worksheets

HCF & LCM

Total questions: 18

Worksheet time: 2hrs 47mins

Name
Class
Date
1.
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)
2.

Which number is a factor of 10

a)

3

b)

4

c)

5

d)

8

3.
Find the HCF of 12 and 15 ?
a)
2
b)
2 x 3
c)
3
d)
60
4.
What is the LCM of 4 and 12? 
a)
4
b)
8
c)
12
d)
16
5.
Find the HCF of 30 and 36
a)
2
b)
3
c)
4
d)
6
6.

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

7.

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

8.

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

9.

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

10.

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

11.

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

12.
51 is a _____________ of 3
a)
Factor 
b)
Multiple
13.
Which is a NOT a factor of 9?
a)
0
b)
1
c)
3
d)
9
14.
What number is a factor for EVERY number?
a)
0
b)
1
c)
2
d)
100
15.

Find the HCF of 8 and 24 ...

a)

2

b)

4

c)

6

d)

8

16.

Find the LCM of 8 and 24 ...

a)

24

b)

48

c)

32

d)

64

17.
Find the HCF of 25 and 35
a)
10
b)
5
c)
7
d)
1
18.
What is the least common multiple (LCM) of 15 and 2?
a)
30
b)
2
c)
45
d)
152