plumiCompound units: speed, density and pressure: OCR GCSE Maths questions
Every OCR GCSE Maths exam question on R11 Compound units: speed, density and pressure, 2017–2025, with its mark scheme and examiner’s report.
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All 30 questions on Compound units: speed, density and pressure, as a list
- June 2025, Paper 4, Q6 (5 marks): The distance of a car race is 420 km. A car completes the first 210 km at an average speed of 150 km/h. The same car completes the final 210 km at an average sp
- June 2025, Paper 4, Q9 (5 marks): (a) Write 0.0037 in standard form. (a) (b) A country consists of a south island and a north island. The table below shows the population and area of each island
- June 2025, Paper 5, Q11 (5 marks): A solid steel cube has a mass of 1.05 kg. The density of the steel is 7.9 g/cm3. Orla says, The length of one side of the cube is approximately 10 cm. Use estim
- June 2025, Paper 6, Q20 (5 marks): A container takes 8 minutes to be filled with water. The graph shows the rate of flow, in litres per minute, of the water into the container during the 8 minute
- November 2024, Paper 4, Q7 (3 marks): A rock has a mass of 36 920 g and a volume of 14 200 cm Work out the density of the rock. Give the units of your answer.
- November 2024, Paper 5, Q12 (4 marks): A housing estate is built on a triangular piece of land. Not to scale 1.96 km 5.03 km There are 3951 people living on the estate. 2. Work out an estimate of the
- June 2024, Paper 4, Q5 (3 marks): The same dog food is sold in three different sized packs. The diagram shows the price of each pack. 3 kg 5 kg 700 g for for for £32.40 £53.90 £7.70 Which pack i
- June 2024, Paper 5, Q3 (7 marks): (a) Ryan makes a journey of 200 miles from his home to the coast. 1 of the journey is on roads with a speed limit of 40 miles per hour. 10 40% of the journey is
- June 2024, Paper 5, Q6 (3 marks): A bronze ornament has a volume of 198 cm 3. The density of bronze is . g/cm 8 9 By rounding each value correct to one significant figure, work out an estimate f
- June 2024, Paper 6, Q4 (7 marks): 1 cm on a map represents 150 km in real life. (a) Below is part of the map showing City A and City B. Scale: 1 cm represents 150 km City B City A Heidi is plann
- November 2023, Paper 4, Q4 (5 marks): The graph shows Taylor’s journey from home to an airport. During the journey Taylor stops for petrol. 50 40 30 Distance from home (km) 20 10 0 0 10 20 30 40 Tim
- November 2023, Paper 5, Q8 (2 marks): A lump of this concrete has a volume of 400 cm3. Work out the mass of the lump of concrete. g
- June 2023, Paper 5, Q8 (5 marks): A block made of iron is in the shape of a cuboid. The block is 3.1 cm by 4.9 cm by 2.2 cm. The density of iron is 7.87 g / cm3. Sam thinks that the mass of the
- 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
- November 2022, Paper 6, Q16 (5 marks): A plane flies from London to Tokyo. The distance is 9600 km, correct to the nearest 100 km. The plane travels at an average speed of 820 km/h, correct to the ne
- 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.
- 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 /
- November 2021, Paper 4, Q6 (6 marks): A shop sells the same milk in three different sized cartons. The diagram shows the price of each carton. 500 ml 2 litres 300 ml for for for 47p £1.96 31p (a) Wh
- November 2021, Paper 5, Q10 (4 marks): Force is measured in newtons (N). A force of 198.5 N is applied to a rectangular surface of length 4.9 cm and width 4.1 cm. Work out an estimate of the pressure
- November 2021, Paper 6, Q8 (6 marks): (a) Train A travels 120 km at a constant speed of 80 km/h. Train B travels 120 km at a constant speed of 50 km/h. How many more minutes does train B take to tra
- November 2021, Paper 6, Q12 (6 marks): A solid metal sphere has mass 235 g. The density of the metal is 7.78 g/cm3. Show that the surface area of this sphere is 46.9 cm2, correct to 3 significant fig
- November 2020, Paper 5, Q18 (5 marks): The diagram shows a triangular field PQR which is used to grow organic carrots. R 80 m Not to scale 30° P Q 100 m PQ = 100 m, PR = 80 m and angle RPQ = 30°. In
- November 2020, Paper 6, Q6 (6 marks): A truck is used to transport some wood panels. Each wood panel is a cuboid measuring 2.4 m by 1.2 m by 1.8 cm. 3. The density of each wood panel is 750 kg/m The
- November 2019, Paper 6, Q12 (10 marks): (a) Arron ran a distance of 5 km at an average speed of 2.2 m / s. How long did Arron run for? Give your answer in minutes and seconds, to the nearest second. (
- June 2019, Paper 6, Q17 (8 marks): T is a radar tower. A and B are two aircraft. At 3pm • aircraft A is 3250 km from T on a bearing of 015° • aircraft B is 4960 km from T on a bearing of 057°. A
- 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
- November 2018, Paper 5, Q4 (3 marks): Work out the density of the block. Give the units of your answer.
- June 2018, Paper 4, Q5 (6 marks): The scale diagram below shows two cities, P and Q. Scale: 1 cm represents 125 km P Q A plane departs from P at 09 47 and arrives at Q at 12 07. (a) Work out the
- June 2017, Paper 5, Q2 (3 marks): The graph shows Mia’s journey from her home to university. university 160 140 120 100 Distance 80 from home (kilometres) 60 40 20 home 0 0900 1000 1100 Time Cal
- June 2017, Paper 6, Q8 (5 marks): The object below is made from a square-based pyramid joined to a cuboid. 13 cm 8 cm 4 cm The base of the cuboid and the base of the pyramid are both squares of
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