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

## 1. | GCSE Higher |

The red line in the diagram below shows an inequality. If the variable is \(x\), which inequality best describes \(x\)?

(a) \(-9 \le x \le 4\)

(b) \(-9 \lt x \le 4\)

(c) \(-9 \le x \lt 4\)

(d) \(-9 \lt x \lt 4\)

(e) \(-4 \le x \le 9\)

## 2. | GCSE Higher |

Solve the following inequalities then explain how the whole number solutions to A and B different.

$$A: 5 \le 5x \lt 30$$ $$B: 5 \lt 5x \le 30$$## 3. | GCSE Higher |

John times how long it takes him to run around Hazelnut Park each Friday afternoon. The last three weeks his times, rounded to the nearest minute are \(p, q \; \text{and} \; r\).

He notices that \(q\) is 5% more than \(p\) and \(r\) is 5% less than \(q\).

Indicate which of the following statements are true:

(a) \( r \lt p \) and \( r \lt q \)

(b) \( r \gt p \) and \( r \gt q \)

(c) \( r = p \) and \( r \lt q \)

(d) \( p \gt q \) and \( p = r \)

(e) \( p =q \) and \( p \gt r \)

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