Number worksheet — GCSE Foundation

1.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.

2.Work out the value of 5³.

3.Oliver uses his calculator to work out 25% of 80 and writes down 320. Without using a calculator, work out the correct value of 25% of 80.

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

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

6.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

7.Work out 3³ + 2⁴.

8.Work out 3/8 of 96.

9.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.

10.Work out 2/5 of 45.

11.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.

12.Work out 4π + 2π, giving your answer as a multiple of π.

13.Write 5,000,000 in standard form.

14.Round 0.006482 to 2 significant figures.

15.Freya types 4² + 3² into her calculator and writes down 49. Work out the correct value of 4² + 3².