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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 |
(a) Solve 9m < 15m − 12
(b) On the number line below, show the set of values of \(x\) for which \( -4 \le x-1 \lt 5 \)
3. | GCSE Higher |
Solve the following inequalities then explain how the whole number solutions to A and B different.
$$A: 5 \le 5x \lt 30$$ $$B: 5 \lt 5x \le 30$$4. | 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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