Video: KS2-M17 • Paper 3 • Question 21

The numbers in this sequence increase by the same amount each time. Write the missing numbers. _, 1, 1 5/8, 2 1/4, _

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Video Transcript

The numbers in this sequence increase by the same amount each time. Write the missing numbers. The first number is missing. Then we have one, one and five-eighths, two and a quarter, and what.

We’re told that the numbers increase by the same amount each time. So we need to work out how much the numbers increase by before we can find the missing numbers. The first number is missing. The second number is number one. And the third number is one and five-eighths. So how much did one increase by for us to get to one and five-eighths?

We’ve added five-eighths. So we could start by converting each of these numbers or the mixed numbers into eighths. We could write one as eight-eighths and two and a quarter would be two and two-eighths. So to find the last number in the sequence, we need to add five-eighths to two and two-eighths, which would be two and seven-eighths.

Now all we need to do is find the first number in the sequence. There isn’t a number before it to add five-eighths to. So we need to go backwards. We need to subtract five-eighths from eight-eighths. Eight-eighths subtract five-eighths is three-eighths. So the missing numbers in the sequence are: three-eighths and two and seven-eighths.

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