Number worksheet — GCSE Foundation

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

2.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.

3.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

4.Which of these numbers lies between −4 and −1 on a number line?

5.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

6.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.

7.Work out 100 − 4 × 5²

8.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

9.Round 592.5 to the nearest 10.

10.Work out the value of 2⁻²

11.Work out ⁴√81

12.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

13.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35

14.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

15.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.