Number worksheet — GCSE Higher

1.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

2.A set of kitchen scales displays the mass of a bag of sugar as 0.63 recurring kilograms, meaning 0.636363... kg with the block '63' repeating forever. Convert this mass to a fraction of a kilogram, then work out the mass in grams, giving your answer to the nearest gram.

3.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

4.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

5.After a price increase of 10%, a laptop costs £330. Work out the original price.

6.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

7.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

8.Work out (−3) × 4 + 2 × (−5)

9.Which of these statements about −0.7 and −0.25 is true?

10.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.

11.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

12.The decimal 0.111... has the digit 1 repeating for ever. Write 0.1 recurring as a fraction in its simplest form.

13.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

14.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

15.Estimate the value of √45, giving your answer to the nearest whole number.