Exam Style Question
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Question id: 133. This question is similar to one that appeared in a GCSE Higher paper in 2015. The use of a calculator is allowed.
On the day after one GCSE paper Twitter and the media were buzzing with comments about a particular question about Hanna's sweets. Here is our version:
Hannah has 6 orange sweets and some yellow sweets.
Overall, she has \(n\) sweets.
The probability of her taking 2 orange sweets is \(\frac13\).
Prove that: \(n^2-n-90=0\)
Hence or otherwise find \(n\).
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