Number worksheet — GCSE Foundation

1.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.

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

3.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

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

5.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.

6.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.

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

8.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

9.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

10.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

11.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

12.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

13.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

14.3/5 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.

15.Given that 2⁵ = 32, work out 2⁶.