Number worksheet — GCSE Foundation

1.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.

2.Work out 3/8 of 96.

3.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

4.Work out 35% of 180.

5.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

6.Work out the value of √(16 + 9)

7.Write 0.45 as a fraction in its simplest form.

8.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

9.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

10.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.

11.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

12.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

13.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.

14.Work out the reciprocal of (2 + 3)

15.Work out −4.5 + 2.8.