Video: GCSE Mathematics Foundation Tier Pack 4 • Paper 2 • Question 1

GCSE Mathematics Foundation Tier Pack 4 • Paper 2 • Question 1

01:30

Video Transcript

Find a multiple of eight that is between 90 and 100.

In order to solve this problem, we could list all the multiples of eight from eight multiplied by one and then get to the point where we actually find one of the multiples that’s between 90 and 100. However, we don’t need to do that because we can actually start with a much higher number.

Because we know that eight multiplied by 10 is 80, we could start there because that’s much closer to the 90 that we want to get near to if we want to find a multiple of eight that’s between 90 and 100. Okay, great! So we got eight multiplied by 10 is 80. Then if we add eight, we get 88. So we can say that eight multiplied by 11 is 88. So we could’ve got that because eight multiplied by 11 gives us 88, or also like I said it’s because it’s eight more than 80. Then if we add another eight, we get to 96. So we can say that eight multiplied by 12 is 96.

Well, if we check the question to see what it wants, it wants a multiple of eight that’s between 90 and 100. Well, 96 is between 90 and 100. So that is a multiple of eight that’s between those two values. We’ll just try and see if there are any more. Well, if we add one more eight on, we get to 104, and this would be eight multiplied by 13. Well, this isn’t actually between 90 and 100. So therefore, we can say that the multiple of eight that’s between 90 and 100 is 96, and we get this by multiplying eight by 12.

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