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.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
- 2.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.
- 3.Write 90 as a product of its prime factors.
- 4.3/5 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.
- 5.Round 0.006482 to 2 significant figures.
- 6.Work out √25 + 4² − 12 ÷ 3
- 7.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 8.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.
- 9.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 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.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?
- 12.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.
- 13.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.
- 14.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.
- 15.Work out (−2)³ + (−3)² − (−4)
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