Number worksheet — GCSE Foundation

1.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

2.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

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

4.Work out the value of 5³.

5.Which one of these statements about negative numbers is true?

6.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

7.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

8.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

9.Which statement about the number 91 is correct?

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

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

12.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.

13.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

14.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.

15.Work out 2/5 + 1/4, giving your answer in its simplest form.