Number worksheet — GCSE Foundation

1.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

2.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.

3.Work out ∛(−27) + ∛8

4.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.

5.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

6.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

7.Round 592.5 to the nearest 10.

8.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.

9.Sara has a red T-shirt, a blue T-shirt and a green T-shirt. She has black shorts and grey shorts. By listing the combinations systematically, work out how many different outfits of one T-shirt and one pair of shorts she can make.

10.Which one of these statements is true?

11.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.

12.Work out 1/2 of 1/4 of 80.

13.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

14.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.

15.Write down the reciprocal of 5/8