plumiCompound units: speed, density and pressure: AQA GCSE Maths questions
Every AQA 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 40 questions on Compound units: speed, density and pressure, as a list
- June 2025, Paper 1H, Q3 (2 marks): A metal solid has volume 11 cm3 The density of the metal is 8.5 g/cm3 Work out the mass of the solid. Answer g
- June 2025, Paper 2H, Q13 (4 marks): Emma and Chan each drive 154 miles from A to B. Emma drives the whole way at an average speed of 56 miles per hour. Chan drives 85 miles at an average speed of
- November 2024, Paper 2H, Q8 (2 marks): Some oil has a mass of 537 g a density of 895 000 g/m3 1 m3 = 1000 litres Work out the volume of the oil. Give your answer in litres. Answer litres
- November 2024, Paper 3H, Q22 (4 marks): The metal used to make a sphere costs £4320 The metal costs £3.60 per gram. Each cubic centimetre of metal has a mass of 17.3 grams. Work out the radius, r, of
- June 2024, Paper 2H, Q8 (3 marks): A lion is sprinting in a straight line away from its den. The graph shows the lion’s distance from the den. Work out the speed of the lion in metres per second.
- June 2024, Paper 3H, Q6 (6 marks): (a) On Monday, Larrs swims 50 metres in 40 seconds at a constant speed. On Tuesday, Larrs swims 1.5 kilometres. Assume he swims at the same constant speed as on
- June 2024, Paper 3H, Q9 (3 marks): Town A has a population of 84 000 an area of 7 square miles. Town B has a population density of 4695 people per square kilometre. Population density = populatio
- November 2023, Paper 2H, Q8 (4 marks): Tasha drove 198 miles. Her average speed for the first 3 hours was 45 miles per hour. Her average speed for the rest of the journey was 31.5 miles per hour. Wor
- November 2023, Paper 3H, Q6 (4 marks): An exhibition was open for 240 hours and had 29 760 visitors. For 5 2 of the time the exhibition was open, there were 172 visitors per hour. For the remaining t
- June 2023, Paper 1H, Q27 (3 marks): A journey has two stages. Distance (km) Average speed (km/h) Time (h) Stage 1 30 a a 30 Stage 2 30 b b 30 Show that the average speed for the whole journey, in
- June 2023, Paper 3H, Q13 (4 marks): Charlie is driving 293 miles home. He • leaves at 9.00 am • travels the first 176 miles at an average speed of 48 mph • drives the rest of the way at an average
- November 2022, Paper 3H, Q11 (4 marks): Part of a running track is the arc of a semicircle joined to a straight line. The semicircle has diameter 45 metres. The straight line has length 75 metres. Not
- November 2022, Paper 3H, Q14 (5 marks): Here are two solid cubes, X and Y. The mass of X is 10.976 kg The area of each face of X is 784 cm2 14 (a) Zayan wants to know the density of Y. He assumes that
- June 2022, Paper 2H, Q26 (4 marks): Two objects, J and K, are applying pressure to areas of ground. For J, the force is 18.9 newtons and the area is 0.45 m2 pressure for J : pressure for K = 7 : 8
- June 2022, Paper 3H, Q9 (3 marks): Tom and Adil are the two runners in a 200-metre race. Tom completes the race in 24 seconds. Adil completes the race at an average speed of 28.8 kilometres per h
- June 2022, Paper 3H, Q15 (3 marks): A town has a population density of 278 people per km2 and a population of 158 460 population density = area population The population increases to 168 720 Work
- November 2021, Paper 1H, Q11 (4 marks): A, B, C and D are junctions on a motorway. Not drawn accurately distance CD = 3 × distance AB distance BC = 25 miles Salma drives from A to C. She drives for 30
- November 2021, Paper 1H, Q20 (1 mark): Which one of these is a unit of density? Circle your answer. cm2/g cm3/g g/cm2 g/cm3
- November 2021, Paper 2H, Q9 (4 marks): A ball contains 5000 cm3 of air. More air is pumped into the ball at a rate of 160 cm3 per second. The ball is full of air when it becomes a sphere with radius
- November 2020, Paper 2H, Q11 (2 marks): A solid piece of silver has mass 2.625 kilograms volume 250 cm3 Work out the density of the piece of silver. Give your answer in grams per cubic centimetre. Ans
- November 2020, Paper 3H, Q8 (3 marks): Chris visits a library. He cycles to the library in half an hour at a speed of 12 miles per hour. He stays at the library for one hour. He then cycles home. The
- November 2019, Paper 2H, Q7 (3 marks): A car journey is in two stages. Stage 1 The car travels 110 miles in 2 hours. Stage 2 The car travels 44 miles at the same average speed as Stage 1 Work out the
- November 2019, Paper 2H, Q14 (6 marks): Ralf has an iron. He models the base as a triangle joined to a trapezium. Not drawn accurately 14 (a) The iron applies a force of 25 newtons (N) pressure = area
- November 2019, Paper 3H, Q10 (1 mark): Density = volume mass The mass is divided by 2 and the volume is multiplied by 4 What happens to the density? Circle your answer. × 2 ÷ 2 × 8 ÷ 8
- June 2019, Paper 2H, Q6 (3 marks): Beth drives 200 miles in 4 hours. She drives the first 18 miles at an average speed of 36 mph Work out her average speed for the rest of the journey. Answer mph
- June 2019, Paper 3H, Q7 (3 marks): Two solids, J and K, have the same density. Complete the table. Include units in your answers. J K Mass 48 g 78 g Volume 8 cm3 Density
- November 2018, Paper 1H, Q6 (3 marks): A ship is sailing in a straight line from its home port. The distance-time graph shows 4 hours of the journey. Work out the speed of the ship during these 4 hou
- November 2018, Paper 2H, Q15 (4 marks): The volume of a medal is 45 cm3 The medal is made from copper and tin. volume of copper : volume of tin = 22 : 3 The density of copper is 8.96 g/cm3 The density
- November 2018, Paper 3H, Q15 (5 marks): A company makes two types of lampshade using fabric on wire frames. Lampshade A Fabric is used to make the curved surface of a cylinder. The cylinder has radius
- November 2018, Paper 3H, Q21 (5 marks): Priya and Joe travel the same 16.8 km route. Priya starts at 9.00 am and walks at a constant speed of 6 km/h Joe starts at 9.30 am and runs at a constant speed.
- June 2018, Paper 2H, Q16 (4 marks): Some concrete has volume 3.8 m3 16 (a) The density of the concrete is 2400 kg/m3 Work out the mass of the concrete. Answer kg 16 (b) The 3.8 m3 of concrete is m
- June 2018, Paper 3H, Q12 (2 marks): A force of 40 Newtons is applied to an area of 3.2 square metres. Work out the pressure. Give the units of your answer. pressure = area force Answer
- November 2017, Paper 2H, Q4 (1 mark): Which one of these is a unit of density? Circle your answer. kg/m2 m2/kg kg/m3 m3/kg
- November 2017, Paper 2H, Q12 (3 marks): The table shows information about the UK and Germany. Population Area (square miles) UK 64 000 000 95 000 Germany 82 000 000 140 000 Population density = area p
- 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
- November 2017, Paper 3H, Q12 (4 marks): The distance by road from Newport to London is 140 miles. Tom travels by coach from Newport to London. The coach leaves Newport at 1.30 pm 12 (a) He assumes the
- June 2017, Paper 1H, Q9 (2 marks): (a) Density = volume mass The mass of solid A is 6 times the mass of solid B. The volume of solid A is 3 times the volume of solid B. Complete the sentence. The
- June 2017, Paper 2H, Q8 (4 marks): Lily goes on a car journey. For the first 30 minutes her average speed is 40 miles per hour. She then stops for 15 minutes. She then completes the journey at an
- June 2017, Paper 3H, Q17 (5 marks): Liam drives his car. He drives the first 9 miles in 9 minutes. He then drives at an average speed of 70 miles per hour for 1 hour 36 minutes. He finds this info
- Specimen, Paper 2H, Q17 (5 marks): The distance from the Earth to the Sun is 93 million miles. Assume it takes 365 days for the Earth to travel once around the Sun the Earth travels in a circle w
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