IGCSE Math RevisionQuestion 1
In a survey of \(72\) students, \(18\) chose football as their favourite sport.
Work out the angle for football in a pie chart.
Show the worked answer
- Each student is \(360 \div 72 = 5°\).
- \(18 \times 5 = 90°\)
Answer: \(90°\)
Cambridge IGCSE Maths (0580) · Topic 9: Statistics · 9.4
Cambridge IGCSE Maths 0580 Statistical Charts and Diagrams Questions
Statistical Charts and Diagrams questions with worked answers for Cambridge IGCSE Mathematics (0580). Each question says whether it is Core or Extended and whether it is for a calculator or non-calculator paper. Try each one before you open the answer.
- 9 questions
- 9 Core
- 8 non-calculator
- Free, no sign-in
What the syllabus asks
- 9.4 Statistical charts and diagrams Core
Draw and interpret bar charts (including composite and dual), pie charts, pictograms, ordered stem-and-leaf diagrams with a key, and simple frequency distributions; Box-and-whisker plots are not on the syllabus (removed in 2025).
Summarised in our own words: check the exact wording in the official 0580 syllabus.
Statistical Charts and Diagrams questions: Core
For everyone: Core students (Papers 1 and 3) and Extended students (Papers 2 and 4).
Question 2
A pie chart shows how \(180\) people travel to work. The angle for bus is \(84°\).
How many people travel by bus?
Show the worked answer
- \(\frac{84}{360} \times 180 = 42\)
Answer: \(42\)
Question 3
A bar chart shows the favourite fruit of some students: apples 7, bananas 12, grapes 5, oranges 6.
(a) How many students were asked?
(b) What fraction of the students chose bananas? Give your answer in its simplest form.
Show the answer and mark scheme
- B1 (a) 30
- B1 (b) 2/5
Answer: (a) 30 (b) \(\frac{2}{5}\)
Question 4
In a pie chart, an angle of \(135°\) stands for \(45\) people.
How many people are shown in the whole pie chart?
Show the worked answer
- \(135°\) is \(45\) people, so \(3°\) is \(1\) person.
- \(360 \div 3 = 120\) people
Answer: \(120\)
Question 5
The stem-and-leaf diagram shows the ages of \(9\) people. Key: \(3 \mid 4\) means \(34\) years.
Find (a) the median (b) the range (c) the mode.
| Stem | Leaf |
|---|---|
| 2 | 1 5 8 |
| 3 | 0 4 4 7 |
| 4 | 2 6 |
Show the worked answer
- The ages in order: \(21, 25, 28, 30, 34, 34, 37, 42, 46\).
- (a) Median: the 5th value, \(34\). (b) Range: \(46 - 21 = 25\). (c) Mode: \(34\).
Answer: (a) \(34\) (b) \(25\) (c) \(34\)
Question 6
In a pictogram, one symbol stands for \(6\) books. One row shows \(4\) whole symbols and one third of a symbol.
How many books does the row show?
Show the worked answer
- \(4 \times 6 = 24\) and a third of a symbol is \(2\).
- \(24 + 2 = 26\)
Answer: \(26\)
Question 7
The table shows how 90 students travel to school.
\[\begin{array}{c|cccc} \text{Method} & \text{Walk} & \text{Bus} & \text{Car} & \text{Cycle} \\ \hline \text{Frequency} & 18 & 27 & 30 & 15 \end{array}\]
Calculate the sector angle for each method in a pie chart.
Show the answer and mark scheme
- M1 360 ÷ 90 = 4° per student, or one correct fraction of 360
- A1 two correct angles
- A1 Walk 72°, Bus 108°, Car 120°, Cycle 60°
Answer: Walk \(72^\circ\), Bus \(108^\circ\), Car \(120^\circ\), Cycle \(60^\circ\)
Question 8
A pie chart has four sectors, \(A\), \(B\), \(C\) and \(D\). The angles are \(3x°\), \(2x°\), \(100°\) and \(80°\).
Find the angle of sector \(A\).
Show the worked answer
- The angles add to \(360°\): \(5x + 180 = 360\), so \(x = 36\).
- Sector \(A\): \(3 \times 36 = 108°\).
Answer: \(108°\)
Question 9
A pie chart shows how 240 people voted for three candidates, A, B and C. The angle for A is \(105^\circ\) and the angle for B is \(150^\circ\). How many people voted for C?
Show the answer and mark scheme
- M1 360 − 105 − 150 (= 105)
- M1 their 105/360 × 240
- A1 70
Answer: \(70\)
Every question on this page is original, written for IGCSE Math Revision rather than taken from Cambridge papers, and each answer was re-solved independently before publishing. Questions with a mark scheme come from our 0580 practice bank (M method, A accuracy, B independent marks).
Keep going
- Statistics practice for 0580: more questions, each one marked, tagged Core or Extended
- My mistakes, then a Skill Builder on the skills you missed
- Common mistakes in 0580: what the Cambridge examiner reports say
- Statistics revision notes and the 0580 formula sheet
- Cambridge IGCSE Maths 0580 past papers, when you are ready for a full paper
Questions students ask
Which Cambridge 0580 papers can test statistical charts and diagrams?
Statistical Charts and Diagrams is on both tiers (syllabus 9.4), so it can come up on Core Papers 1 (non-calculator) and 3 (calculator), and Extended Papers 2 (non-calculator) and 4 (calculator). Extended candidates also need the Extended parts listed on this page. Half of each tier's marks are on a non-calculator paper, so practise the non-calculator questions without one.
Are these Cambridge past-paper questions?
No. Every question here was written for IGCSE Math Revision in the style of the 0580 papers, and each answer was checked independently before publishing. For real exam practice, use the Cambridge past papers linked from our 0580 past papers page.
Where can I practise more statistical charts and diagrams questions?
In the 0580 practice for topic 9 (Statistics), where every question is marked and tagged Core or Extended. Practice is part of the IGCSE plan, with a free preview; the questions on this page are free.