2 (a) Write down
(i) a multiple of 13,
(ii) a prime number between 40 and 50 - OCR - GCSE Maths - Question 2 - 2017 - Paper 1
Question 2
2 (a) Write down
(i) a multiple of 13,
(ii) a prime number between 40 and 50.
(b) Find the lowest common multiple (LCM) of 16 and 28.
Worked Solution & Example Answer:2 (a) Write down
(i) a multiple of 13,
(ii) a prime number between 40 and 50 - OCR - GCSE Maths - Question 2 - 2017 - Paper 1
Step 1
(a)(i) a multiple of 13
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Answer
A multiple of 13 can be found by multiplying 13 by any integer. For example, 13 x 1 = 13, or 13 x 2 = 26. Therefore, an acceptable answer is 26.
Step 2
(a)(ii) a prime number between 40 and 50
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Answer
Prime numbers are those greater than 1 that have no positive divisors other than 1 and themselves. The prime numbers between 40 and 50 are 41, 43, and 47. We can select 41 as an example.
Step 3
(b) Find the lowest common multiple (LCM) of 16 and 28
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Answer
To find the LCM of 16 and 28, we can first list their multiples:
Multiples of 16: 16, 32, 48, 64, 80, 96, 112, ...
Multiples of 28: 28, 56, 84, 112, ...
The smallest common multiple in both lists is 112. Thus, the LCM of 16 and 28 is 112.
