Number worksheet — GCSE Foundation

1.Find the missing number: 17 × ▢ = 391

2.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.

3.Write 0.00072 in standard form.

4.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

5.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.

6.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

7.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?

8.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

9.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

10.Work out 3³ + 2⁴.

11.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

12.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

13.Write the fraction 3/4 as a decimal.

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

15.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.