Number worksheet — GCSE Higher

1.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.

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

3.Ten athletes run in a final. Gold, silver and bronze medals are awarded to the first three athletes to finish, and there are no ties. Work out how many different ways the three medals can be awarded.

4.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

5.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.

6.Write 0.06 as a fraction in its simplest form.

7.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

8.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

9.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.

10.Write 0.36 as a fraction in its simplest form.

11.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.

12.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.

13.Work out √144 − 2 × 3 + √25

14.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

15.Write 60 as a product of its prime factors, using index notation.