Number worksheet — GCSE Foundation

1.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

2.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

3.Work out 3 + 4 × (−2).

4.Work out (2/3)² + (1/2)². Give your answer as a fraction.

5.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

6.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

7.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.

8.Round 4,685 to the nearest 100.

9.Work out √25 + 4² − 12 ÷ 3

10.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

11.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

12.Write 200 as a product of its prime factors, using index notation.

13.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

14.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.

15.Write 0.325 as a fraction in its simplest form.