Number worksheet — GCSE Foundation

1.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

2.Work out how many factors 36 has.

3.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

4.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

5.Work out (−36) ÷ (−6) × 2

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

7.Write 0.325 as a fraction in its simplest form.

8.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.

9.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

10.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

11.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.

12.Work out (5 + 2) × 3²

13.Which of these numbers is the largest: −9, −7, −4, −2?

14.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.

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