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Worksheets

LCM and HCF

Total questions: 25

Worksheet time: 26mins

Name
Class
Date
1.

Which number is a factor of 10

a)

3

b)

4

c)

5

d)

8

2.
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)
3.
Which one is a multiple of 4?
a)
33
b)
22
c)
18
d)
24
4.
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
5.
Find the HCF of 21 and 28
a)
3
b)
4
c)
7
d)
14
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.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

8.

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

9.

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

10.

what are the first 5 prime numbers in ascending order?

a)

2,3,4,5,11

b)

1,2,3,5,11

c)

2,3,5,7,11

d)

2,3,11,7,5

11.

Which of these numbers is not prime?

a)

17

b)

25

c)

23

d)

37

12.

Which of the following numbers is not composite?

a)

24

b)

40

c)

66

d)

61

13.

Name the 5th prime number.

a)

2

b)

11

c)

5

d)

7

14.
Write in index notation. 2 x 3 x 3 x 5 x 5 x 5 x 2
a)
2 x 32 x 52
b)
22 + 32 + 53
c)
22 x 32 x 53
15.

What is the value of 400 000+20 000+3 000+5

a)

423 005

b)

42 305

c)

420 005

d)

423 015

16.

what is the value of 42 ?

a)

16

b)

8

c)

4

d)

25

17.

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

18.
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
19.
Sara had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?
a)
4
b)
2
c)
48
d)
8
20.

Is this question asking to find HCF or LCM?

a)

HCF

b)

LCM

21.

Is this question asking to find HCF or LCM?

a)

HCF

b)

LCM

22.
Jenny goes to  karate class every 12 days.and too the library every 18 days. On December 1st she went to both class and the library. On what date will she do both class and go to the library?
a)
24 days
b)
36 days
c)
42 days
d)
52 days
23.
Two neon signs are turned on at the same time. Both signs blink as they are turned on. One sign blinks every 9 seconds. The other sign blinks every 15 seconds. In how many seconds will they blink together again?
a)
48 seconds
b)
45 seconds
c)
16 seconds
d)
8 seconds
24.

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

25.
What number is a factor for EVERY number?
a)
0
b)
1
c)
2
d)
100