Prime Factors, HCF & LCM (Edexcel IGCSE Maths A (Modular): Foundation Unit 2): Exam Questions

Exam code: 4XMAF/4XMAH

15 mins4 questions
1a
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2 marks

Write 300 as a product of its prime factors. Show your working clearly.

1b
2 marks

A equals 2 cross times 2 cross times 2 cross times 3 cross times 3 cross times 5

B equals 2 cross times 2 cross times 3 cross times 3 cross times 3 cross times 5

Find the lowest common multiple (LCM) of 5 A and 7 B
Show your working clearly.

2a
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2 marks

Find the Highest Common Factor (HCF) of 140 and 245.

2b
3 marks

A machine has a buzzer that sounds every 50 minutes.
The machine also has a bell that sounds every 80 minutes.

The buzzer and the bell sound together at 10 am.

Find the time at which they next sound together.

3a
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2 marks

Write 300 as a product of its prime factors. Show your working clearly.

3b
2 marks

A equals 2 cross times 2 cross times 2 cross times 3 cross times 3 cross times 5

B equals 2 cross times 2 cross times 3 cross times 3 cross times 3 cross times 5

Find the lowest common multiple (LCM) of 5 A and 7 B
Show your working clearly.

4
2 marks

A equals 5 cubed cross times 7 cubed cross times 11 to the power of 6 and B equals 5 to the power of 6 cross times 7 squared cross times 11 to the power of 4

Find the highest common factor (HCF) of Aand B
Give your answer as a product of powers of its prime factors.