Number worksheet — GCSE Foundation

1.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

2.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

3.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

4.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

5.Given that 2⁵ = 32, work out 2⁶.

6.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

7.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

8.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

9.Write 0.0038 in standard form.

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

11.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.

12.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

13.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.

14.Write 45,000 in standard form.

15.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.