Number worksheet — GCSE Higher

1.Work out 5⁰ + 5¹ + 5²

2.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

3.Work out the value of √49 + ∛27

4.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

5.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

6.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

7.Work out 3 + 4 × (−2).

8.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

9.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

10.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

11.Simplify √8 + √18, giving your answer in the form k√2.

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

13.Work out ∛64.

14.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.

15.Work out (−3) × 4 + 2 × (−5)