Number worksheet — GCSE Foundation

1.Given that 2⁵ = 32, work out 2⁶.

2.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?

3.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

4.Round 3.947 to 2 decimal places.

5.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

6.Write down the symbol that makes this statement true: 0.45 ___ 0.5

7.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.

8.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

9.Work out the value of ∛125.

10.Work out the lowest common multiple of 4 and 6.

11.Which of these decimals lies between 1/4 and 2/5?

12.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

13.Write down the reciprocal of 0.2

14.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

15.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?