Number worksheet — GCSE Higher

1.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

2.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

3.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

4.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

5.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

6.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

7.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

8.c = 50, correct to the nearest 10. d = 18, correct to the nearest whole number. Work out the upper bound of c − d.

9.Work out (−36) ÷ (−6) × 2

10.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

11.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

12.Work out 3.7 × 24.

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

15.Given that 5³ = 125 and 6³ = 216, use a midpoint test to estimate ∛130 to 1 decimal place.