Gcse Grade C Exam Practice Worksheet With Answer Key - Alperton Community School Page 6

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6.
Sophie says, ‘For any whole number, n, the value of 6n – 1 is always a prime number’.
Sophie is wrong. Give an example to show that Sophie is wrong.
(Total 2 marks)
7.
Jill says
“If you multiply any two prime numbers together, the answer will always be an odd number”.
Write down an example to show that Jill is wrong.
(Total 2 marks)
8.
Seejal says
“If a and b are prime numbers greater than 2, then a × b is always an odd number.”
Is Seejal correct? ......................Give reasons for your answer.
.............................................................................................................................................
............................................................................................................................... (Total 2 marks)
9.
(a)
Work out the Highest Common Factor (HCF) of 24 and 64
(2)
(b)
Work out the Lowest Common Multiple (LCM) of 24 and 64.....................................
(2)
(Total 4 marks)
10.
(a)
Express 252 as a product of its prime factors.
.....................................(3)
James thinks of two numbers. He says “The Highest Common Factor (HCF) of my two numbers is 3
The Lowest Common Multiple (LCM) of my two numbers is 45”
(b)
Write down two numbers that James could be thinking of.
................ and ..................(3) (Total 6 marks)
2
11.
2x
= 72
(a)
Find a value of x......................................(2)
(b)
Express 72 as a product of its prime factors.............................................................
(2)
(Total 4 marks)
Alperton Community School Maths Department: GCSE Grade C Exam Practice
6

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