Number worksheet — GCSE Foundation

1.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

2.Find the missing number: ▢ ÷ 15 = 24

3.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.

4.Work out 3³ + 2⁴.

5.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

6.Which statement about the number 91 is correct?

7.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

8.Work out 5 + 3 × (9 − 6)

9.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.

10.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

11.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

12.Freya types 4² + 3² into her calculator and writes down 49. Work out the correct value of 4² + 3².

13.Round 4,685 to the nearest 100.

14.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.

15.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.