Number worksheet — GCSE Higher

1.Work out 3³ + 2⁴.

2.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.

3.Which statement about the number 91 is correct?

4.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

5.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.

6.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

7.Write 0.875 as a fraction in its simplest form.

8.Round 592.5 to the nearest 10.

9.Write down the symbol that makes this statement true: −2/3 ___ −5/6

10.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

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

12.Simplify x⁶ ÷ x²

13.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.

14.√700 lies between which two consecutive integers?

15.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.