Number worksheet — GCSE Foundation

1.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

3.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

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

5.Work out √144

6.Which statement about the number 51 is correct?

7.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.

8.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

9.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

11.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.

12.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

13.Work out (−36) ÷ (−6) × 2

14.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?

15.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.