Number worksheet — GCSE Higher

1.Work out 4368 ÷ 12.

2.Simplify x⁶ ÷ x²

3.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.

4.Which one of these statements is true?

5.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

6.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.

7.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

8.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

9.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

10.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

11.2/3 of an amount of money is £30. Work out the amount.

12.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.

13.A car travels 100 km, correct to the nearest km, in a time of 2 hours, correct to the nearest 0.1 hour. Work out the average speed, in km/h, to the greatest degree of accuracy the bounds can guarantee.

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

15.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?