Pearson Edexcel International GCSE in Mathematics (Specification A) · 4MA1 · Free · no account needed
Speed, Density & Compound Measures — exam questions
11 original Incandio exam-style questions on speed, Density & Compound Measures, 30 marks, about 37 minutes of writing. Each one carries the command word, the tariff and the specification statement it assesses, exactly as a paper presents them. This is an original Incandio practice question, written to reflect the structure and demands of the qualification. It is not an official Pearson Edexcel past-paper question.
This is the practice set for Speed, Density & Compound Measures — the module that teaches it. Read the module first if the idea is new; come here when you want to find out whether you can turn it into marks. Completely free, no account needed to read.
What these questions ask of you
6 command words run through this set, and on Pearson Edexcel International GCSE Mathematics A each one means something precise. Answering the wrong command is the commonest way a candidate who understands the module still loses the mark.
- Write down (1–2 marks)
- a value that needs no working — read off, recalled or stated
- Work out (1–5 marks)
- a calculated result, with the working that produced it
- Explain why (1–2 marks)
- one short justification — mathematics almost never asks for extended explanation
- Find (1–5 marks)
- a value or expression obtained by a method the learner chooses
- Show that (2–5 marks)
- every step of a derivation to a value that is already printed in the question Misread as: stating the printed answer again instead of deriving it
- Calculate (1–5 marks)
- a numerical answer obtained by calculation
Assessed on Paper 1 and Paper 2.
Where these sit in the specification
Pearson Edexcel International GCSE Mathematics A (4MA1) — statements 4.4 · 1.10. Incandio is aligned to this specification; it is not published by, endorsed by or affiliated with Pearson, and it reproduces none of Pearson's wording.
The 11 questions
Answer them on paper, then open the module's exam practice to have them marked. The mark scheme, the accepted and rejected answers and the annotated model answer are in Incandio and are not printed here — an answer beside its question is not practice.
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(1)Write down
Write down the formula for density in terms of mass and volume.
(Total for Question 1 = 1 mark)
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(2)Work out
A car travels 153 km in 1.8 hours. Work out its average speed in km/h.
average speed = ............................
(Total for Question 2 = 2 marks)
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(2)Work out
A block of oak has a mass of 486 g and a volume of 675 cm³. Work out its density.
density = ............................
(Total for Question 3 = 2 marks)
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(1)Explain why
A cyclist rides the first half of a route at 20 km/h and the second half at 30 km/h. Explain why the average speed for the whole route is not 25 km/h.
(Total for Question 4 = 1 mark)
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(3)Work out
A train covers 268 km at an average speed of 80 km/h. Work out the time taken, in hours and minutes.
(Total for Question 5 = 3 marks)
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(3)Find
A crate weighs 940 newtons and stands on a rectangular base measuring 0.8 m by 0.5 m. Find the pressure it exerts on the floor, in newtons per square metre.
(Total for Question 6 = 3 marks)
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(3)Show that
A runner covers 12 km in 55 minutes. Show that the average speed is about 13.1 km/h.
(Total for Question 7 = 3 marks)
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(3)Calculate
A car is moving at 22 metres per second. Calculate this speed in kilometres per hour.
(Total for Question 8 = 3 marks)
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(4)Work out
A van drives 84 km at an average of 70 km/h and then a further 96 km at an average of 80 km/h. Work out the average speed for the whole journey.
average speed = ............................
(Total for Question 9 = 4 marks)
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(3)Find
Gold has a density of 19.3 g/cm³. Find the mass in kilograms of a gold bar with a volume of 62 cm³.
mass = ............................
(Total for Question 10 = 3 marks)
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(5)Work out
A cyclist rides 18 km at 24 km/h, rests for 15 minutes, and then rides a further 12 km at 30 km/h. Work out her average speed for the whole journey, including the rest.
average speed = ............................ km/h
(Total for Question 11 = 5 marks)
Have them marked, then defend the answer
Practice tells you the mark; teaching it back tells you whether you understand it. On Incandio a topic counts as mastered only once you have taught it and defended it.
- Mark these questions — 11 questions, marked on Incandio against the authored scheme, with the mistake you actually made named.
- Teach it — explain speed, Density & Compound Measures to Ember, an AI pupil who does not have it yet and asks the awkward question.
- Defend it — argue it against Archimedes over three rounds, marked against descriptors you can read first.
Completely free. No subscriptions, no paywalls, no account needed to start.
Back to the module
- Speed, Density & Compound Measures — Speed–distance–time, density–mass–volume and the unit conversions between them — including the average-speed trap everyone falls into once.
- All of Incandio Mathematics · Incandio Exam Practice