## Exam-Style Question on Proportion## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 326. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is not allowed.

The following table shows corresponding values for two variables \(x\) and \(y\).

x | 1 | 2 | 3 | 4 |

y | 5 | \(1 \frac14 \) | \(\frac{5}{9}\) | \( \frac{5}{16}\) |

(a) If \(y\) is inversely proportional to the square of \(x\) find an equation for \(y\) in terms of \(x\).

(b) Find the positive value for \(x\) when \(y = 20\).

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If you need more practice try the self-checking interactive exercises called Direct and Inverse Proportion.

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