plumiUpper and lower bounds: AQA GCSE Maths questions
Every AQA GCSE Maths exam question on N16 Upper and lower bounds, 2017–2025, with its mark scheme and examiner’s report.
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All 16 questions on Upper and lower bounds, as a list
- June 2025, Paper 3H, Q14 (7 marks): (a) For a small plane, • the mass of the empty plane is 800 kg, to the nearest 100 kg • the mass of fuel is 190 kg, to the nearest 5 kg • the mass of the passen
- November 2024, Paper 3H, Q4 (3 marks): To the nearest pound, Rosie has £12 She wants to buy 6 drinks. Each drink costs £1.89 Show that Rosie definitely has enough money to buy the 6 drinks.
- November 2023, Paper 2H, Q21 (3 marks): Jack is loading a van. The van can safely carry 1375 kg of furniture. Jack has already loaded 1200 kg of furniture to the nearest 50 kg A table has mass 140 kg
- June 2023, Paper 2H, Q24 (3 marks): a = 65 to the nearest integer b = 30 to 1 significant figure Work out the upper bound for 2a2 – b2 You must show your working. Answer
- November 2022, Paper 3H, Q25 (4 marks): Two sides of a triangle are measured to 1 decimal place. The angle between the sides is measured to the nearest degree. Not drawn accurately Work out the upper
- June 2022, Paper 2H, Q27 (3 marks): To be rented, a bedroom must have a floor area of at least 6.51 m2 A bedroom has a rectangular floor. The floor measures 2.4 m by 2.9 m, each correct to 2 signi
- November 2021, Paper 3H, Q28 (3 marks): a = 4.72 to 3 significant figures. b = 158 to 3 significant figures. Work out the upper bound of b a You must show your working. Answer
- November 2020, Paper 2H, Q26 (4 marks): Edith’s van can safely carry a maximum load of 920 kilograms. She wants to use her van to carry 30 sacks of potatoes, each of mass 25 kilograms to the nearest k
- June 2019, Paper 2H, Q17 (3 marks): m = 2 2b p − p = 68.3 correct to 1 decimal place. b = 8.7 correct to 1 decimal place. Work out the lower bound for m. Answer
- June 2019, Paper 3H, Q6 (3 marks): To the nearest pound, Jon has £9 To the nearest 50p, Ellie has £6.50 Work out the maximum possible total amount of money. Answer £
- November 2018, Paper 3H, Q19 (3 marks): The length of a roll of ribbon is 30 metres, correct to the nearest half-metre. A piece of length 5.8 metres, correct to the nearest 10 centimetres, is cut from
- June 2018, Paper 2H, Q24 (4 marks): A tank is a cuboid measuring 50 cm by 35 cm by 20 cm All lengths are to the nearest centimetre. A container has a capacity of exactly 34 litres. 1 litre = 1000
- November 2017, Paper 1H, Q8 (2 marks): Three whole numbers are each rounded to the nearest 10 The sum of the rounded numbers is 70 Work out the maximum possible sum for the original three numbers. An
- November 2017, Paper 2H, Q25 (5 marks): The dimensions of a rectangular floor are to the nearest 0.1 metres. A force of 345 Newtons is applied to the floor. The force is to the nearest 5 Newtons. Work
- June 2017, Paper 3H, Q20 (4 marks): This sign shows when a lift is safe to use. Ben and some other people are in the lift. Their total mass is 525 kg to the nearest 5 kg Ben gets out. He has a mas
- Specimen, Paper 3H, Q21 (4 marks): A box is a cuboid with dimensions 27 cm by 15 cm by 20 cm These dimensions are to the nearest centimetre. DVD cases are cuboids with dimensions 1.5 cm by 14.3 c
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