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

## 1. | GCSE Higher |

A number, \(n\), when rounded to two decimal places is 7.32

Express the error interval for \(n\) using inequalities.

## 2. | GCSE Higher |

The height of a tree is 9 metres to the nearest metre.

(a) Complete the error interval for the height of the tree.

$$ ........ m \le height \lt ........ m $$The height of a different tree is 7 metres to the nearest metre.

Mr Schneebly says "The sum of the heights of the two trees is 17 metres to the nearest metre."

(b) Give an example to show that he could be correct.

## 3. | GCSE Higher |

(a) Work out an estimate for the value of \( \sqrt{48.3 \times 82.01}\).

\( (3.4)^5 = 454 \) correct to 3 significant figures.

(b) Find the value of \( (0.034)^5\) correct to 3 significant figures.

(c) Find the exact value of \( 3^{–3} \)

## 4. | GCSE Higher |

Ralph used his calculator to work out the value of C, the circumference of a circle. Unfortunately he put his banana down on his desk so that it covered most of the calculator screen. All that can be seen are the first two digits of the answer.

Complete the error interval for C

$$. . . . . . . . . . \le C \lt . . . . . . . . . .$$If you would like space on the right of the question to write out the solution try this Thinning Feature. It will collapse the text into the left half of your screen but large diagrams will remain unchanged.

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