Number worksheet — GCSE Higher

1.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

2.Work out ⁴√16

3.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

4.Work out √25 + 4² − 12 ÷ 3

5.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.

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

7.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.

8.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

9.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.

10.Work out √3 × √12, giving your answer as an integer.

11.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.

12.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.

13.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

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

15.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.