Number worksheet — GCSE Foundation

1.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

2.Work out 8% of £250.

3.Write down the reciprocal of 0.2

4.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

5.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

6.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

7.Which of these statements about −0.7 and −0.25 is true?

8.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?

9.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.

10.Work out (2/3)² + (1/2)². Give your answer as a fraction.

11.Which of these numbers lies between −4 and −1 on a number line?

12.Work out the highest common factor of 12 and 18.

13.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

14.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.

15.Work out −(−3)⁴ + (−3)³