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.
Non-calculator
Number worksheet — GCSE Higher
MathsUKwww.geekhero.co.uk
- 1.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 2.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 3.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.
- 4.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?
- 5.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
- 6.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
- 7.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.
- 8.Round 0.006852 to 2 significant figures.
- 9.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.
- 10.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.
- 11.Work out √144 − 2 × 3 + √25
- 12.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.
- 13.4ˣ = 64. Work out the value of x.
- 14.Write 60 as a product of its prime factors, using index notation.
- 15.Which one of these statements is true?
Build your own mix at the worksheet builder.