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Upper and lower bounds: Edexcel GCSE Maths questions

Every Edexcel GCSE Maths exam question on N16 Upper and lower bounds, 2017–2025, with its mark scheme and examiner’s report.

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  1. Q19

    June 2025 · Paper 3H

    The whole paper ↗
    June 2025 Paper 3H, question 19: There are some sheets of paper in a pile. The height of the pile is 10.4 cm, correct to the nearest mm. The thickness of each sheet of paper is 0.17 mm, correct
  2. Q19

    November 2024 · Paper 2H

    The whole paper ↗
    November 2024 Paper 2H, question 19: T = a c − w = 435 correct to the nearest 5 a = 9.8 correct to 2 significant figures. c = 2.5 correct to 2 significant figures. By considering bounds, calculate
  3. Q19

    June 2024 · Paper 3H

    The whole paper ↗
    June 2024 Paper 3H, question 19: R = Q 8 correct to 3 significant figures. P = 5.88 × 10 5 correct to 2 significant figures. Q = 3.6 × 10 Work out the lower bound for R. Give your answer as an
  4. Q22

    November 2023 · Paper 3H

    The whole paper ↗
    November 2023 Paper 3H, question 22: Ebony makes some bracelets to sell. The materials to make all the bracelets cost £190, correct to the nearest £5 Ebony sells all the bracelets for a total of £8
  5. Q19

    June 2023 · Paper 2H

    The whole paper ↗
    June 2023 Paper 2H, question 19: ABC is a right-angled triangle. A 12.6 cm 9.3 cm x B C AB = 9.3 cm correct to the nearest mm. AC = 12.6 cm correct to the nearest mm. Calculate the lower bound
  6. November 2022 Paper 2H, question 23: A race is measured to have a distance of 10.6 km, correct to the nearest 0.1 km. Sam runs the race in a time of 31 minutes 48 seconds, correct to the nearest se
  7. Q16

    June 2022 · Paper 3H

    The whole paper ↗
    June 2022 Paper 3H, question 16: p = f e = 6.8 correct to 1 decimal place. f = 0.05 correct to 1 significant figure. Work out the upper bound for the value of p. Give your answer correct to 3 s
  8. Q21

    November 2021 · Paper 2H

    The whole paper ↗
    November 2021 Paper 2H, question 21: The time period, T seconds, of a simple pendulum of length l cm is given by the formula l T = 2π g Katie uses a simple pendulum in an experiment to find an esti
  9. Q18

    November 2020 · Paper 3H

    The whole paper ↗
    November 2020 Paper 3H, question 18: The diagram shows a cube. A B D C F G E H AH = 11.3 cm correct to the nearest mm. Calculate the lower bound for the length of an edge of the cube. You must show
  10. Q20

    November 2019 · Paper 2H

    The whole paper ↗
    November 2019 Paper 2H, question 20: d = c3 c = 10.9 correct to 3 significant figures. By considering bounds, work out the value of d to a suitable degree of accuracy. Give a reason for your answer
  11. Q19

    June 2019 · Paper 3H

    The whole paper ↗
    June 2019 Paper 3H, question 19: D = 2 a u 26.2 correct to 3 significant figures a 4.3 correct to 2 significant figures (a) Calculate the upper bound for the value of D. Give your answer correc
  12. November 2018 Paper 3H, question 18: A high speed train travels a distance of 487 km in 3 hours. The distance is measured correct to the nearest kilometre. The time is measured correct to the neare
  13. June 2018 Paper 2H, question 21: Jackson is trying to find the density, in g/cm3, of a block of wood. The block of wood is in the shape of a cuboid. He measures the length as 13.2 cm, correct t
  14. November 2017 Paper 3H, question 16: The petrol consumption of a car, in litres per 100 kilometres, is given by the formula Petrol consumption = 100 × Number of litres of petrol used Number of kilo
  15. June 2017 Paper 3H, question 17: A train travelled along a track in 110 minutes, correct to the nearest 5 minutes. Jake finds out that the track is 270 km long. He assumes that the track has be
All 15 questions on Upper and lower bounds, as a list
  1. June 2025, Paper 3H, Q19 (3 marks): There are some sheets of paper in a pile. The height of the pile is 10.4 cm, correct to the nearest mm. The thickness of each sheet of paper is 0.17 mm, correct
  2. November 2024, Paper 2H, Q19 (5 marks): T = a c − w = 435 correct to the nearest 5 a = 9.8 correct to 2 significant figures. c = 2.5 correct to 2 significant figures. By considering bounds, calculate
  3. June 2024, Paper 3H, Q19 (3 marks): R = Q 8 correct to 3 significant figures. P = 5.88 × 10 5 correct to 2 significant figures. Q = 3.6 × 10 Work out the lower bound for R. Give your answer as an
  4. November 2023, Paper 3H, Q22 (4 marks): Ebony makes some bracelets to sell. The materials to make all the bracelets cost £190, correct to the nearest £5 Ebony sells all the bracelets for a total of £8
  5. June 2023, Paper 2H, Q19 (3 marks): ABC is a right-angled triangle. A 12.6 cm 9.3 cm x B C AB = 9.3 cm correct to the nearest mm. AC = 12.6 cm correct to the nearest mm. Calculate the lower bound
  6. November 2022, Paper 2H, Q23 (5 marks): A race is measured to have a distance of 10.6 km, correct to the nearest 0.1 km. Sam runs the race in a time of 31 minutes 48 seconds, correct to the nearest se
  7. June 2022, Paper 3H, Q16 (3 marks): p = f e = 6.8 correct to 1 decimal place. f = 0.05 correct to 1 significant figure. Work out the upper bound for the value of p. Give your answer correct to 3 s
  8. November 2021, Paper 2H, Q21 (4 marks): The time period, T seconds, of a simple pendulum of length l cm is given by the formula l T = 2π g Katie uses a simple pendulum in an experiment to find an esti
  9. November 2020, Paper 3H, Q18 (4 marks): The diagram shows a cube. A B D C F G E H AH = 11.3 cm correct to the nearest mm. Calculate the lower bound for the length of an edge of the cube. You must show
  10. November 2019, Paper 2H, Q20 (4 marks): d = c3 c = 10.9 correct to 3 significant figures. By considering bounds, work out the value of d to a suitable degree of accuracy. Give a reason for your answer
  11. June 2019, Paper 3H, Q19 (5 marks): D = 2 a u 26.2 correct to 3 significant figures a 4.3 correct to 2 significant figures (a) Calculate the upper bound for the value of D. Give your answer correc
  12. November 2018, Paper 3H, Q18 (5 marks): A high speed train travels a distance of 487 km in 3 hours. The distance is measured correct to the nearest kilometre. The time is measured correct to the neare
  13. June 2018, Paper 2H, Q21 (5 marks): Jackson is trying to find the density, in g/cm3, of a block of wood. The block of wood is in the shape of a cuboid. He measures the length as 13.2 cm, correct t
  14. November 2017, Paper 3H, Q16 (3 marks): The petrol consumption of a car, in litres per 100 kilometres, is given by the formula Petrol consumption = 100 × Number of litres of petrol used Number of kilo
  15. June 2017, Paper 3H, Q17 (5 marks): A train travelled along a track in 110 minutes, correct to the nearest 5 minutes. Jake finds out that the track is 270 km long. He assumes that the track has be

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