Pearson Edexcel International GCSE in Mathematics (Specification A) · 4MA1 · Free · no account needed
Fractions & Mixed Numbers — exam questions
11 original Incandio exam-style questions on fractions & Mixed Numbers, 29 marks, about 36 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 Fractions & Mixed Numbers — 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
4 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
Assessed on Paper 1 and Paper 2.
Where these sit in the specification
Pearson Edexcel International GCSE Mathematics A (4MA1) — statement 1.2. 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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A recipe for one loaf uses 2¾ cups of flour and ⅔ of a cup of milk. A baker has 20 cups of flour and 5 cups of milk.
(a)
(3)Work out
Work out how much flour is needed for 4 loaves. Give your answer as a mixed number.
A recipe for one loaf uses 2¾ cups of flour and ⅔ of a cup of milk. A baker has 20 cups of flour and 5 cups of milk.
(b)
(2)Work out
Work out how much milk is needed for 4 loaves. Give your answer as a mixed number.
A recipe for one loaf uses 2¾ cups of flour and ⅔ of a cup of milk. A baker has 20 cups of flour and 5 cups of milk.
(c)
(3)Work out
Work out the greatest number of whole loaves the baker can make from the flour and milk available.
A recipe for one loaf uses 2¾ cups of flour and ⅔ of a cup of milk. A baker has 20 cups of flour and 5 cups of milk.
(Total for Question 1 = 8 marks)
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(1)Write down
Write down 3⅖ as an improper fraction.
(Total for Question 2 = 1 mark)
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(3)Work out
Work out ⅗ + ¼. Give your answer as a fraction in its simplest form.
(Total for Question 3 = 3 marks)
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(2)Work out
Work out ⅔ × ⁹⁄₁₀. Give your answer as a fraction in its simplest form.
(Total for Question 4 = 2 marks)
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(3)Work out
Work out ⅗ ÷ ⅘. Give your answer as a fraction in its simplest form.
(Total for Question 5 = 3 marks)
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(1)Explain why
A student writes ⅓ + ⅕ = ²⁄₈. Explain why this is wrong.
(Total for Question 6 = 1 mark)
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(3)Work out
Work out 2⅓ × 1½. Give your answer as a mixed number in its simplest form.
(Total for Question 7 = 3 marks)
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(3)Find
A tank is ⅗ full. After 24 litres are drained out it is ⅕ full. Find the capacity of the tank.
capacity of the tank = ............................
(Total for Question 8 = 3 marks)
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(5)Work out
A recipe for 4 people uses 2½ cups of flour and ⅔ of a litre of milk. Work out how much flour and how much milk are needed for 10 people.
flour and milk for 10 people = ............................
(Total for Question 9 = 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 fractions & Mixed Numbers 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
- Fractions & Mixed Numbers — Adding, multiplying and dividing fractions with certainty — and the bar-model picture that makes worded fraction problems fall open.
- All of Incandio Mathematics · Incandio Exam Practice