Number worksheet — GCSE Foundation

1.Work out the highest common factor of 20 and 32.

2.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.

3.Given that 2⁵ = 32, work out 2⁶.

4.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.

5.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

6.Work out 2⁵.

7.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?

8.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

9.Work out the value of ∛8.

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

11.Work out ⁴√16

12.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

13.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.

14.A cinema has 21 rows of seats with 29 seats in each row. Work out an estimate for the number of people the cinema can hold, by rounding each number to 1 significant figure.

15.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.