Ratio, proportion and rates of changeKS3 / GCSE

Recognising direct proportion from a table

Use a constant ratio to recognise direct proportion.

  • In direct proportion, is constant.
  • Use , where is a constant.

Example 1

Are and directly proportional? Give a reason.

Yes

The ratios are constant.

Example 2

Are and directly proportional? Give a reason.

No

The ratios are not all equal.

Your turn

Question 1

Are and directly proportional? Give a reason.

Check answer
Yes

The ratios are constant.

Question 2

Are and directly proportional? Give a reason.

Check answer
No

The ratios are not all equal.

Question 3

Are and directly proportional? Give a reason.

Check answer
Yes

The ratios are constant.

Question 4

Are and directly proportional? Give a reason.

Check answer
No

The ratios are not all equal.

Question 5

Are and directly proportional? Give a reason.

Check answer
Yes

The ratios are constant.

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