Number worksheet — GCSE Higher

1.Given that 2⁵ = 32, work out 2⁶.

2.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

3.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

4.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.

5.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

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

7.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.

8.Work out 100 − 4 × 5²

9.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

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

11.A country has an area of 25,000,000 hectares. Write this area in standard form.

12.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.

13.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

14.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

15.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.