Number worksheet — GCSE Higher

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

2.Which one of these statements is true?

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

4.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

5.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.

6.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

7.Work out the value of √49 + ∛27

8.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.

9.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

10.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.

11.Work out ⁴√81

12.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.

13.Work out (−36) ÷ (−6) × 2

14.c = 50, correct to the nearest 10. d = 18, correct to the nearest whole number. Work out the upper bound of c − d.

15.Work out √25 + 4² − 12 ÷ 3