Printable · GCSE Higher · ages 14-16
Number worksheet — GCSE Higher
Fifteen questions across the number statements at Higher tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Number worksheet — GCSE Higher
MathsUKwww.geekhero.co.uk
- 1.Work out how many factors 36 has.
- 2.Write 0.36 as a fraction in its simplest form.
- 3.Which of these decimals lies between 1/4 and 2/5?
- 4.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.
- 5.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.
- 6.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.
- 7.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.
- 8.Rationalise the denominator of 6/√3, giving your answer in its simplest form.
- 9.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.
- 10.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
- 11.Write 7/12 as a decimal, showing clearly which digit is recurring.
- 12.A rectangular garden has a length of 12.4 m and a width of 7.5 m, each measured correct to 1 decimal place. Calculate the upper bound for the area of the garden.
- 13.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.
- 14.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.
- 15.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.
Build your own mix at the worksheet builder.