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Converting units: OCR GCSE Maths questions

Every OCR GCSE Maths exam question on R1 Converting units, 2017–2025, with its mark scheme and examiner’s report.

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921 questions

  1. Q5

    November 2023 · Paper 4

    2 marksR1 Converting units
    The whole paper ↗
    November 2023 Paper 4, question 5: (a) Write an expression for the weight, in grams, of an object weighing x kilograms. (a) g 2, of a garden of area cm 2. (b) Write an expression for the area, in

  2. Q5

    November 2023 · Paper 6

    6 marksN9 Standard formR1 Converting units
    The whole paper ↗
    November 2023 Paper 6, question 5: A sheet of A4 card weighs . 1 19 10 # (a) Work out the weight of 500 sheets of the A4 card. (a) kg (b) Card is classified using W, the weight in grams per squar

  3. Q6

    November 2022 · Paper 4

    4 marksR11 Compound units: speed, density and pressureR1 Converting units
    The whole paper ↗
    November 2022 Paper 4, question 6: (a) A solid block of wood is a cuboid which measures 3 cm by 4 cm by 5 cm. Its density is 0.65 g/cm3. Work out the mass of the block of wood. (a) g (b) Here are

  4. Q5

    November 2022 · Paper 6

    5 marksN9 Standard formR1 Converting units
    The whole paper ↗
    November 2022 Paper 6, question 5: In space, distances can be measured in Astronomical Units. 8 In this question, use the conversion 1 Astronomical Unit 1 5 . 10 km . = # (a) On a particular day

  5. Q6

    June 2022 · Paper 4

    5 marksR11 Compound units: speed, density and pressureR1 Converting units
    The whole paper ↗
    June 2022 Paper 4, question 6: A machine can dig, on average, 2 cm of tunnel each minute. It operates 24 hours each day. (a) Work out how many days it should take to dig a tunnel of length 3.

  6. Q5

    June 2022 · Paper 5

    3 marksR4 Ratio notationR1 Converting units
    The whole paper ↗
    June 2022 Paper 5, question 5: Recipes measure small quantities in teaspoons and tablespoons. 3 teaspoons is equivalent to 1 tablespoon. 3 of a teaspoon of salt and 1 tablespoon of baking pow

  7. Q6

    June 2022 · Paper 6

    3 marksR11 Compound units: speed, density and pressureR1 Converting units
    The whole paper ↗
    June 2022 Paper 6, question 6: The mass of a stone is 680 g. The density of the stone is 1.6 g / cm3. (a) Work out the volume of the stone. (a) cm3 (b) Write 1.6 g / cm3 in kg / m3. (b) kg /

  8. Q10

    November 2020 · Paper 4

    6 marksG17 Circles, surface area and volumeR1 Converting units
    The whole paper ↗
    November 2020 Paper 4, question 10: The diagram shows Jane’s lawn. It is in the shape of a square of side 36 m and three semi-circles. Not to scale She is going to spread fertiliser on the lawn at

  9. Q2

    November 2018 · Paper 4

    5 marksR11 Compound units: speed, density and pressureR1 Converting units
    The whole paper ↗
    November 2018 Paper 4, question 2: Hector can run 400 metres in 66 seconds. (a) Use this information to show that he could run 5 kilometres in less than 14 minutes. (b) Hector tries to run 5 kilo

  10. Q8

    June 2018 · Paper 6

    9 marksA15 Gradients and areas under graphsR1 Converting units
    The whole paper ↗
    June 2018 Paper 6, question 8: The graph shows the speed of a tram as it travels from the library to the town hall. Speed Not to scale (m/s) 6 0 65 85 Time (s) (a) Calculate the deceleration

  11. Q1

    November 2017 · Paper 4

    6 marksR10 Direct and inverse proportionR1 Converting units
    The whole paper ↗
    November 2017 Paper 4, question 1: Donald swims 3 lengths of a swimming pool in 93 seconds. (a) Use this information to show that he could swim 100 lengths in under 55 minutes. (b) What assumptio

  12. Q13

    November 2017 · Paper 6

    5 marksR2 Scale factors, scale drawings and mapsR1 Converting units
    The whole paper ↗
    November 2017 Paper 6, question 13: A model railway is built using the scale 1 : 87. (a) On the model railway, the distance between the rails is 16.5 mm. distance between the rails Calculate, in m

  13. Q15

    June 2017 · Paper 4

    13 marksA14 Graphs in real contextsR1 Converting units
    The whole paper ↗
    June 2017 Paper 4, question 15: The graph shows the speed, v metres per second (m/s), of a car at time t seconds. v 30 20 Speed (m/s) 10 0 t 0 1 2 3 4 5 6 7 8 9 10 Time (s) (a) Find the speed
All 13 questions on Converting units, as a list
  1. November 2023, Paper 4, Q5 (2 marks): (a) Write an expression for the weight, in grams, of an object weighing x kilograms. (a) g 2, of a garden of area cm 2. (b) Write an expression for the area, in
  2. November 2023, Paper 6, Q5 (6 marks): A sheet of A4 card weighs . 1 19 10 # (a) Work out the weight of 500 sheets of the A4 card. (a) kg (b) Card is classified using W, the weight in grams per squar
  3. November 2022, Paper 4, Q6 (4 marks): (a) A solid block of wood is a cuboid which measures 3 cm by 4 cm by 5 cm. Its density is 0.65 g/cm3. Work out the mass of the block of wood. (a) g (b) Here are
  4. November 2022, Paper 6, Q5 (5 marks): In space, distances can be measured in Astronomical Units. 8 In this question, use the conversion 1 Astronomical Unit 1 5 . 10 km . = # (a) On a particular day
  5. June 2022, Paper 4, Q6 (5 marks): A machine can dig, on average, 2 cm of tunnel each minute. It operates 24 hours each day. (a) Work out how many days it should take to dig a tunnel of length 3.
  6. June 2022, Paper 5, Q5 (3 marks): Recipes measure small quantities in teaspoons and tablespoons. 3 teaspoons is equivalent to 1 tablespoon. 3 of a teaspoon of salt and 1 tablespoon of baking pow
  7. June 2022, Paper 6, Q6 (3 marks): The mass of a stone is 680 g. The density of the stone is 1.6 g / cm3. (a) Work out the volume of the stone. (a) cm3 (b) Write 1.6 g / cm3 in kg / m3. (b) kg /
  8. November 2020, Paper 4, Q10 (6 marks): The diagram shows Jane’s lawn. It is in the shape of a square of side 36 m and three semi-circles. Not to scale She is going to spread fertiliser on the lawn at
  9. November 2018, Paper 4, Q2 (5 marks): Hector can run 400 metres in 66 seconds. (a) Use this information to show that he could run 5 kilometres in less than 14 minutes. (b) Hector tries to run 5 kilo
  10. June 2018, Paper 6, Q8 (9 marks): The graph shows the speed of a tram as it travels from the library to the town hall. Speed Not to scale (m/s) 6 0 65 85 Time (s) (a) Calculate the deceleration
  11. November 2017, Paper 4, Q1 (6 marks): Donald swims 3 lengths of a swimming pool in 93 seconds. (a) Use this information to show that he could swim 100 lengths in under 55 minutes. (b) What assumptio
  12. November 2017, Paper 6, Q13 (5 marks): A model railway is built using the scale 1 : 87. (a) On the model railway, the distance between the rails is 16.5 mm. distance between the rails Calculate, in m
  13. June 2017, Paper 4, Q15 (13 marks): The graph shows the speed, v metres per second (m/s), of a car at time t seconds. v 30 20 Speed (m/s) 10 0 t 0 1 2 3 4 5 6 7 8 9 10 Time (s) (a) Find the speed

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