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.
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Number worksheet — GCSE Higher
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- 1.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 2.The decimal 0.2333... has one non-recurring digit (the 2) followed by a single recurring digit (the 3), so it can be written as 0.2 recurring 3. Let x = 0.2333... . Work out x as a fraction in its simplest form.
- 3.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.
- 4.Simplify (3a²)² × (2a)³
- 5.Work out the value of 2⁻²
- 6.Work out √(4 × 9)
- 7.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.
- 8.Write 60 as a product of its prime factors, using index notation.
- 9.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?
- 10.3/5 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.
- 11.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.
- 12.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.
- 13.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.
- 14.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.
- 15.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
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