Gcse Grade C Exam Practice Worksheet With Answer Key - Alperton Community School Page 7

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SOLUTIONS
2 × 2 × 3 × 5
1.
(a)
(i)
4
2 × 30
× 3 2 × 48
5
(ii) 2
× 3 × 5
5
(b)
12
(c) 480
2
3
2.
(a)
2
× 3 × 5
2
120
2
60
2
30
e.g.
3
15
5
5
1
(b)
600
2
e.g.
150 = 2 × 3 × 5
3
2
LCM = 2
× 3 × 5
3.
(a)
(i)
2.21 (ii) 0.013
(b) 663 LCM = 3 × 13 × 17 = 3 × 221
2
3
4.
(a)
2
× 3
eg 2│108
2│54
3│27
3│9
3
(b)
12
108
=
2
5.
(a)
x
6
3
(b)
2 × 54 = 2 × 2 × 27
2 × 2 × 3 × 3 × 3
6.
No because when n = 6 6n – 1 (= 35) is not prime
7.
2 × 3 = 6
8.
2 is the only even prime number and the product of 2 odd numbers is odd
Yes
9.
(a)
8 (b) 192
10.
(a) 2 × 2 × 3 × 3 × 7
(b)
HCF: The numbers must be 3n and 3m where n and m are coprime and at most one is a
multiple of 3
LCM: Factors of 45 are 1, 3, 5, 9, 15, 45
9 and 15 or 3, 45
2
11.
(a)
x
= 72 ÷ 2 =36 so x=6
(b)
72 = 2 × 36 = 2 × 2 × 18
= 2 × 2 × 2 × 9
2 × 2 × 2 × 3 × 3
Alperton Community School Maths Department: GCSE Grade C Exam Practice
7

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