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.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.
- 2.Work out how many factors 36 has.
- 3.Work out the value of .
- 4.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.
- 5.Simplify (x⁻²)³, giving your answer as a fraction.
- 6.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.
- 7.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.
- 8.A cyclist travels 40 km, correct to the nearest 10 km, in a time of 3 hours, correct to the nearest hour. Work out the maximum possible average speed, in km/h.
- 9.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 10.Write down the symbol that makes this statement true: −2/3 ___ −5/6
- 11.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.
- 12.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
- 13.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.
- 14.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
- 15.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
Build your own mix at the worksheet builder.