Number worksheet — GCSE Foundation

1.Write 0.35 as a fraction in its lowest terms.

2.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

3.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

4.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.

5.Write 0.36 as a fraction in its simplest form.

6.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

7.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

8.Oliver uses his calculator to work out 25% of 80 and writes down 320. Without using a calculator, work out the correct value of 25% of 80.

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

10.Work out the value of 2⁻⁴

11.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

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 45,000 in standard form.

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

15.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.