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.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

3.Work out (5 + 2) × 3²

4.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

5.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

6.√700 lies between which two consecutive integers?

7.Work out ⁴√81

8.A café meal deal is one sandwich, one snack and one drink. There are 4 different sandwiches, 3 different snacks and 2 different drinks to choose from. Work out how many different meal deals are possible.

9.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.

10.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.

11.Work out (−36) ÷ (−6) × 2

12.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

13.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.

14.Write 7/12 as a decimal, showing clearly which digit is recurring.

15.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.