Number worksheet — GCSE Foundation

1.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

2.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.

3.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

4.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.

5.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.

6.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

7.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

8.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

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

10.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

11.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

12.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

13.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.

14.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

15.3/5 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.