## Exam-Style Questions.## Problems adapted from questions set for previous Mathematics exams. |

## 1. | GCSE Higher |

There are only crayons in a pencil case and the crayons are either orange, purple or brown.

The table shows the probability of taking at random a brown crayon from the pencil case.

Colour: | orange | purple | brown |
---|---|---|---|

Probability: | 0.4 |

The number of orange crayons in the pencil case is the same as the number of purple crayons.

(a) Complete the table.

There are 20 brown crayons in the pencil case.

(b) Work out the total number of crayons in the pencil case.

## 2. | GCSE Higher |

At the Trantown annual Fayre there are a number of different sideshows designed to raise money for cancer research. Roger is looking after two of these, the lucky dip and the raffle.

(a) At the lucky dip it costs £1 to enter and everyone wins one of three different types of prize.

- The probability of winning a teddy bear is \(x\);
- The probability of winning is soft drink is \(2x\);
- The probability of winning chocolate bar is \(7x\).

Calculate the value of \(x\).

(b) Roger is offering a free raffle ticket for every raffle ticket purchased. He tells people that this doubles their chances of winning. Is he correct?

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