Number worksheet — GCSE Foundation

1.Round 4,685 to the nearest 100.

2.Work out 8% of £250.

3.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

4.Amelia eats 5/8 of a bar of chocolate and Oliver eats 3/4 of an identical bar. Write both amounts as eighths and write down the greater of the two fractions.

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

6.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.

7.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

8.Work out (−36) ÷ (−6) × 2

9.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

10.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.

11.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

12.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

13.In the number 3.472, work out the value of the digit 7.

14.Which of these is written correctly in standard form?

15.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.