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Worksheets

LCM , HCF, Fraction

Total questions: 46

Worksheet time: 3hrs 14mins

Name
Class
Date
1.

What is a factor?

a)

a number or quantity that when multiplied with another produces a given number or expression.

b)

a number that can be divided by another number without a remainder.

c)

A Number

d)

A number experssiona to solve a multiplication problem

SHOW ANSWER

2.

What are all the FACTORS of 24?

a)

1, 2, 12, 24

b)

1, 2, 8, 24

c)

1, 2, 3, 4, 5, 6, 8, 12, 24

d)

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

3.
Find the HCF of 30 and 36
a)
2
b)
3
c)
4
d)
6
4.
Find the HCF of 25 and 35
a)
10
b)
5
c)
7
d)
1
5.

List the first four multiples of 8.

a)

1, 2, 4, 8

b)

8, 16, 24, 32

c)

16, 24, 32, 40

d)

2, 4, 6, 8, 10

6.

17 is a PRIME NUMBER because it has just ___ factors: ___ and ___.

a)

2, 5, 7

b)

two, itself, 1

c)

2, 15, 2

d)

2, 8.5, 2

7.

Which of these statements is true?

a)

All numbers have 4 factors.

b)

2 is a factor of every number.

c)

1 is a factor of every number.

d)

All odd numbers have an odd number of factors.

8.
What is the LCM of 4 and 12? 
a)
4
b)
8
c)
12
d)
16
9.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

10.

What is the LCM of 2,4,6

a)

4

b)

6

c)

2

d)

12

11.

The highest common factor of 28, 42, and 76 is….

a)

14

b)

7

c)

4

d)

2

12.

Find the HCF for 18, 36, and 81

a)

3

b)

2

c)

6

d)

9

13.

Which number is a factor of 10

a)

3

b)

4

c)

5

d)

8

14.
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)
15.
Find the HCF of 12 and 15 ?
a)
2
b)
2 x 3
c)
3
d)
60
16.
What is the LCM of 4 and 12? 
a)
4
b)
8
c)
12
d)
16
17.
Find the HCF of 30 and 36
a)
2
b)
3
c)
4
d)
6
18.

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

19.

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

20.

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

21.

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

22.

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

23.

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

24.
51 is a _____________ of 3
a)
Factor 
b)
Multiple
25.
Which is a NOT a factor of 9?
a)
0
b)
1
c)
3
d)
9
26.
What number is a factor for EVERY number?
a)
0
b)
1
c)
2
d)
100
27.

Find the HCF of 8 and 24 ...

a)

2

b)

4

c)

6

d)

8

28.

Find the LCM of 8 and 24 ...

a)

24

b)

48

c)

32

d)

64

29.
Find the HCF of 25 and 35
a)
10
b)
5
c)
7
d)
1
30.
What is the least common multiple (LCM) of 15 and 2?
a)
30
b)
2
c)
45
d)
152
31.
2/3 x 15 ( il faut simplifier la réponse)
a)
30/3
b)
5
c)
10
d)
15
32.
7 ¼ x 2 ½
a)
18 ⅛
b)
14 ⅛
c)
14 ¾
d)
9 ¾
33.
Dans les 240 élèves de secondaire 1, les ⅖ des élèves sont des filles.  Combien y a-t-il des garçons ?
a)
72 gars
b)
144 gars
c)
96 gars
d)
120 gars
34.
5⅕ ÷ 2½
a)
52/25
b)
9/5
c)
13
d)
18/15
35.
Pour une campagne de financement, Zackary et James ont amassé 300 $ ensemble.  James a amassé le 1/4 de l'argent de Zackary.  Combien d'argent que Zackary a amassé ?
a)
240 $
b)
225 $
c)
60 $
d)
75 $
36.
Quelle fraction est irréductible?
a)
3/27
b)
2/6
c)
2/10
d)
5/7
37.
Lors de la saison de hockey, Maxence a compté le 2/5 des buts d'Antoine.  Ensemble, ils ont compté 35 buts.  Combien de buts que Maxence a compté ?
a)
14 buts
b)
7 buts
c)
25 buts
d)
10 buts
38.
Ellie-Rose s'est acheté un chapeau étrange à 180 $.  Quel est le prix si les taxes sont de 15 % ?
a)
192 $
b)
207 $
c)
195 $
d)
270 $
39.
Catherine, Laurie et Mathilde décident d'acheter une boule de noël avec un affreux dessus au coût de 96 cennes.  Catherine fournit le 1/4 du prix, Laurie le 5/8 du reste tandis que Mathilde fournit les cennes manquantes.  Combien de cennes que Laurie a payé ?
a)
24 cennes
b)
45 cennes
c)
27 cennes
d)
60 cennes
40.
Émile planifie de faire son jardin.  Il doit acheter des sac de terre.  En sachant qu'un sac couvre le 2/15 de son jardin.  Combien de sacs doit-il acheter ?
a)
7 sacs
b)
30 sacs
c)
8 sacs
d)
15 sacs
41.
William décide d'acheter des nouveaux souliers de course au coût de 120$ dans le but de battre M. Ouellette.  Il a un rabais de 35%, quel est le prix des souliers (il n'y a pas de taxes à payer) ?
a)
65 $
b)
78 $
c)
42 $
d)
85 $
42.
 Lors d'un concours de force entre Neige et Vincent.  Vincent a soulevé une masse de 16 kg tandis que Neige a soulevé 2 ¼ fois plus lourd que Vincent.  Quelle est la masse soulevée par Neige ?
a)
32 ¼ kg
b)
18 ¼ kg
c)
36 kg
d)
32 kg
43.
Laquelle des fractions représente le plus grand nombre?
a)
2/6
b)
8/14
c)
6/12
d)
50/100
44.
Jeanne est engagée pour nettoyer des enclos à cochons.  Elle nettoie le 2/3 d'un enclos en une heure.  Elle est payée 4 $ par heure.  Quelle est son salaire pour nettoyer 12 enclos ?
a)
8 $
b)
32 $
c)
48 $
d)
72 $
45.

1/8 x 3/4

a)

2/32

b)

3/32

c)

4/32

46.

What fraction is shaded? Simplify fully!

a)

12\frac{1}{2}

b)

47\frac{4}{7}

c)

24\frac{2}{4}

d)

410\frac{4}{10}

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