Number worksheet — GCSE Higher

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

2.Write down the exact decimal value of the fraction 1/6.

3.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

4.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.

5.Work out (5 + 2) × 3²

6.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.

7.Work out the value of √(16 + 9)

8.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

9.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

10.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

11.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.

12.Work out (−6) + (−4) × 3

13.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.

14.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

15.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.