Number worksheet — GCSE Higher

1.Write 0.875 as a fraction in its simplest form.

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

3.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

4.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

5.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

6.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

7.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

8.Write 0.005 in standard form.

9.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

10.Work out 5⁰ + 5¹ + 5²

11.Work out ∛(−27) + ∛8

12.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

13.Work out (−36) ÷ (−6) × 2

14.Work out (−2)³ + (−3)² − (−4)

15.A padlock code is formed from 3 different digits chosen from 1, 2, 3, 4, 5 and 6 (no digit may be used twice in the same code). Work out how many different codes can be made.