From Paper 4 (calculator), Higher
A rectangle has length 8.3 cm to the nearest 0.1 cm and width 5.7 cm to the nearest 0.1 cm. Work out the upper bound and lower bound of the area.
From Paper 4 (calculator), Higher
Find the highest common factor and the lowest common multiple of 48 and 180.
From Paper 5 (non-calculator), Higher
Find the highest common factor and the lowest common multiple of 72 and 108.
From Paper 5 (non-calculator), Higher
Estimate the value of √(63.8) × 5.12 ÷ 0.0496. Show your rounding.
From Paper 5 (non-calculator), Higher
Work out 2 2/5 ÷ 1 3/5. Give your answer in its simplest form.
From Paper 5 (non-calculator), Higher
Work out (2.5 × 10^6) × (8 × 10^-3). Give your answer in standard form.
From Paper 5 (non-calculator), Higher
Simplify fully (a) 7^5 × 7^2 (b) (7^5)^4 (c) Evaluate 8^(2/3) × 4^(−1/2).
From Paper 5 (non-calculator), Higher
Prove algebraically that the recurring decimal 0.363636… can be written as 4/11.
From Paper 5 (non-calculator), Higher
Rationalise the denominator and simplify: 8/(√5 − 1).
From Paper 5 (non-calculator), Higher
Write 540 as a product of its prime factors. Give your answer in index form.
From Paper 5 (non-calculator), Higher
A length is 12.35 m correct to 2 decimal places. Write down the error interval for the length L.
From Paper 5 (non-calculator), Higher
A café offers 5 starters, 8 main courses and 4 desserts. How many different three-course meals are possible?
From Paper 6 (calculator), Higher
A rectangle has length 40 cm to the nearest 1 cm and width 22 cm to the nearest 1 cm. Work out the upper bound and lower bound of the area.
From Paper 6 (calculator), Higher
Estimate the value of (6.89² − 21.3) ÷ 0.512. Show your rounding.
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This paper is written by Plasmo in the style of the OCR GCSE Maths exam. It is not a past paper and is not produced or endorsed by the exam board.