Number worksheet — GCSE Foundation

1.Work out √144 − 2 × 3 + √25

2.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.

3.Which of these numbers is the largest: −9, −7, −4, −2?

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

5.Write down the symbol that makes this statement true: 6/11 ___ 4/11

6.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

7.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

8.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

9.Round 4,685 to the nearest 100.

10.Write the fraction 9/25 as a decimal.

11.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.

12.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

13.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

14.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.

15.Work out 5⁰ + 5¹ + 5²