Number worksheet — GCSE Foundation

1.Which of these units would be most appropriate to use when stating the mass of a small car?

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

3.Write down the reciprocal of 5/8

4.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.

5.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

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.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

8.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.

9.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

10.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

11.Work out 36 ÷ (2 × 3)

12.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

13.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35

14.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

15.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.