Number worksheet — GCSE Higher

1.Work out 4368 ÷ 12.

2.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

3.Simplify x⁷ × x⁴, giving your answer as a single power of x.

4.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?

5.Write 5,000,000 in standard form.

6.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.

7.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

8.Simplify √8 + √18, giving your answer in the form k√2.

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

10.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

11.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

12.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

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

14.p = 24 and q = 6, each correct to the nearest integer. Work out the greatest degree of accuracy to which p ÷ q can be guaranteed correct.

15.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.