Pearson Edexcel International GCSE in Mathematics (Specification A) · 4MA1 · Free · no account needed
Ratio — exam questions
10 original Incandio exam-style questions on ratio, 24 marks, about 29 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 Ratio — 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
7 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
- Simplify (1–3 marks)
- an equivalent expression in its simplest form
- 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
- Find (1–5 marks)
- a value or expression obtained by a method the learner chooses
- 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) — statement 1.7. 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 10 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.
-
(1)Write down
Write down the ratio 24 : 36 in its simplest form.
(Total for Question 1 = 1 mark)
-
(2)Work out
£450 is shared in the ratio 4 : 5. Work out the larger share.
larger share = ............................
(Total for Question 2 = 2 marks)
-
(2)Work out
A recipe uses flour and sugar in the ratio 7 : 3. A baker uses 560 g of flour. Work out the mass of sugar needed.
mass of sugar needed = ............................
(Total for Question 3 = 2 marks)
-
(1)Explain why
Two paints are mixed in the ratio 3 : 5. A decorator claims that three fifths of the mixture is the first paint. Explain why the claim is wrong.
(Total for Question 4 = 1 mark)
-
(2)Simplify
Simplify the ratio 0.6 : 1.5 : 2.4.
(Total for Question 5 = 2 marks)
-
(3)Work out
In a club the ratio of adults to children is 5 : 3. There are 24 more adults than children. Work out the total number of members.
total number of members = ............................
(Total for Question 6 = 3 marks)
-
(3)Show that
A map has a scale of 1 : 25000. Show that a distance of 8 cm on the map represents 2 km on the ground.
(Total for Question 7 = 3 marks)
-
(3)Find
£1170 is shared between Ama, Beth and Carl in the ratio 2 : 3 : 4. Find how much more Carl receives than Ama.
(Total for Question 8 = 3 marks)
-
(4)Work out
A bag contains red and blue counters in the ratio 3 : 7. When 12 more red counters are put in, the ratio becomes 3 : 5. Work out how many blue counters are in the bag.
(Total for Question 9 = 4 marks)
-
(3)Calculate
Two lengths are in the ratio 5 : 8. The shorter length is 34 cm. Calculate the longer length.
longer length = ............................
(Total for Question 10 = 3 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 — 10 questions, marked on Incandio against the authored scheme, with the mistake you actually made named.
- Teach it — explain ratio to Ember, an AI pupil who does not have it yet and asks the awkward question.
- Defend it — argue it against Leonardo Fibonacci 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
- Ratio — Sharing in a ratio, finding totals from parts, and combining two ratios into one — all powered by the value of ONE part.
- All of Incandio Mathematics · Incandio Exam Practice