Number worksheet — GCSE Foundation

1.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

2.Which of these numbers lies between −4 and −1 on a number line?

3.Work out the value of 6² − 4³.

4.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

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

6.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

7.Work out the lowest common multiple of 9 and 15.

8.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

9.Write down a prime number between 30 and 40.

10.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

11.Write 90 as a product of its prime factors.

12.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

13.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

14.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.

15.Work out the highest common factor of 12 and 18.