Pearson Edexcel International GCSE in Mathematics (Specification A) · 4MA1 · Free · no account needed
Charts, Pie Charts & Histograms — exam questions
9 original Incandio exam-style questions on charts, Pie Charts & Histograms, 20 marks, about 24 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 Charts, Pie Charts & Histograms — 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
- Calculate (1–5 marks)
- a numerical answer obtained by calculation
- 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
Assessed on Paper 1 and Paper 2.
Where these sit in the specification
Pearson Edexcel International GCSE Mathematics A (4MA1) — statement 6.1. 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 9 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
A pie chart is drawn to show how the 60 students travel. Write down the angle that represents one student.
How 60 students travel to school Method Number of students Walk 15 Bus 24 Car 12 Cycle 9 (Total for Question 1 = 1 mark)
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(2)Work out
Work out the angle of the sector representing students who travel by bus.
How 60 students travel to school Method Number of students Walk 15 Bus 24 Car 12 Cycle 9 (Total for Question 2 = 2 marks)
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(2)Calculate
In a different pie chart, 200 people were surveyed and one sector has an angle of 54°. Calculate how many people that sector represents.
(Total for Question 3 = 2 marks)
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(1)Explain why
A student says the tallest bar on a histogram must contain the most data. Explain why this is not always true.
(Total for Question 4 = 1 mark)
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(3)Find
Find the missing frequency for the group of apples with masses over 150 g and up to 200 g.
Masses of 100 apples, recorded in unequal groups Mass m (grams) Frequency Frequency density 100 < m ≤ 120 16 0.8 120 < m ≤ 150 45 1.5 150 < m ≤ 200 0.6 200 < m ≤ 240 9 missing frequency = ............................
(Total for Question 5 = 3 marks)
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(3)Show that
Show that the frequency density of the group of apples over 200 g and up to 240 g is 0.225.
Masses of 100 apples, recorded in unequal groups Mass m (grams) Frequency Frequency density 100 < m ≤ 120 16 0.8 120 < m ≤ 150 45 1.5 150 < m ≤ 200 0.6 200 < m ≤ 240 9 (Total for Question 6 = 3 marks)
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(3)Work out
Work out an estimate for the number of apples with a mass between 130 g and 150 g.
Masses of 100 apples, recorded in unequal groups Mass m (grams) Frequency Frequency density 100 < m ≤ 120 16 0.8 120 < m ≤ 150 45 1.5 150 < m ≤ 200 0.6 200 < m ≤ 240 9 (Total for Question 7 = 3 marks)
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(1)Write down
A scatter graph plots hours of revision against test score for 30 students, and the points rise steadily from bottom left to top right. Write down the type of correlation it shows.
(Total for Question 8 = 1 mark)
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(4)Find
One pie chart shows 80 people and its sector for cycling has an angle of 63°. A second pie chart shows 150 people and its cycling sector has an angle of 36°. Find how many more people cycle in the second group than in the first.
(Total for Question 9 = 4 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 — 9 questions, marked on Incandio against the authored scheme, with the mistake you actually made named.
- Teach it — explain charts, Pie Charts & Histograms to Ember, an AI pupil who does not have it yet and asks the awkward question.
- Defend it — argue it against William Playfair 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
- Charts, Pie Charts & Histograms — Pie chart angles, scatter-graph correlation, and the Higher-tier histogram rule that area — not height — is frequency.
- All of Incandio Mathematics · Incandio Exam Practice