Number worksheet — GCSE Higher

1.Round 592.5 to the nearest 10.

2.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

3.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

4.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

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

6.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

7.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.

8.Write down the symbol that makes this statement true: −2/3 ___ −5/6

9.Work out the value of √(16 + 9)

10.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

11.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

12.A cyclist travels 40 km, correct to the nearest 10 km, in a time of 3 hours, correct to the nearest hour. Work out the maximum possible average speed, in km/h.

13.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

14.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

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?