Every statistical charts and diagrams question from 16 Cambridge IGCSE Mathematics (0580) past papers (May/June 2025 to May/June 2026), syllabus section 9.4. 18 questions covering Core and Extended tiers, ordered from Core to Extended. Each question is labelled with its question paper code (for example 0580/12/M/J/26) and every final answer matches the official Cambridge mark scheme. Try each question first, then click “Show solution” to check your working. This page is part of our IGCSE Maths 0580 Statistics past paper questions.
0580 Statistical Charts and Diagrams past paper questions: Core (Papers 1 and 3)
May/June 2026 · Paper 1 · 0580/12/M/J/26 · Q9
The stem-and-leaf diagram shows the time, in minutes, it takes 20 students to eat lunch.
| 0 | 7 8 9 |
| 1 | 1 3 5 6 9 |
| 2 | 3 4 5 5 7 8 8 9 |
| 3 | 1 2 2 9 |
Key: 3 | 1 represents 31 minutes
(a) … students took between 10 and 30 minutes. (b) … % of the students took less than 18 minutes. (c) The slowest student took … minutes longer than the quickest student.
Show solution
- Times between 10 and 30 minutes are the rows with stems 1 and 2.
- Count the leaves: stem 1 has 5 and stem 2 has 8. 5 + 8 = 13
- Times less than 18 minutes: 7, 8, 9, 11, 13, 15, 16. That is 7 students.
- As a fraction of all 20 students: 7⁄20.
- Change to a percentage: 7⁄20 × 100 = 35%
- Quickest = 7 minutes (first leaf) and slowest = 39 minutes (last leaf).
- Difference = 39 − 7 = 32 minutes
May/June 2026 · Paper 1 · 0580/13/M/J/26 · Q8
Ben asks some children to choose their favourite type of snack. The pie chart shows the results: chocolate 140°, fruit 30°, sweets 90°, nuts 20° and crisps.
(a) Measure the sector angle for crisps.
(b) Find the fraction of the children who chose chocolate, in its simplest form.
(c) 8 more children chose fruit than those who chose nuts. Work out the number of children who chose fruit.
Show solution
- Put the protractor’s centre on the centre of the pie chart and measure the crisps sector.
- Crisps = 80°
- Check: 360 − 140 − 30 − 90 − 20 = 80 ✓
- Chocolate is 140° out of 360°: 140⁄360.
- Divide top and bottom by 20: 7⁄18
- The fruit sector is 30° − 20° = 10° bigger than the nuts sector, and that difference is 8 children.
- So 10° stands for 8 children, and 1° stands for 8 ÷ 10 = 0.8 children.
- Fruit = 30 × 0.8 = 24 children
May/June 2026 · Paper 3 · 0580/31/M/J/26 · Q5
The bar chart shows the number of each type of book sold in a shop on one day: cookery, sport, wildlife and fiction. Work out the percentage of books sold that are cookery.
Show solution
- Read the height of each bar: cookery 9, sport 4, wildlife 5, fiction 7.
- Total books sold = 9 + 4 + 5 + 7 = 25.
- Cookery as a fraction of the total = 9⁄25.
- Change to a percentage: 9⁄25 × 100 = 36%
May/June 2026 · Paper 3 · 0580/31/M/J/26 · Q10
The table shows how 40 students travel to school: bus 8, car 15, walk 17.
(a) Complete the pie chart sector angles in the table. (b) Complete the pie chart.
Show solution
- 360° stands for all 40 students, so each student is 360 ÷ 40 = 9°.
- Bus: 8 × 9 = 72°
- Car: 15 × 9 = 135°
- Walk: 17 × 9 = 153°
- Check: 72 + 135 + 153 = 360 ✓
- Draw each sector with a protractor, measuring from the edge of the previous sector, and label each one.
May/June 2026 · Paper 3 · 0580/32/M/J/26 · Q19
Zac asks some students if they prefer algebra, geometry or statistics. 35% of the students prefer algebra. 2⁄9 of the students prefer geometry. The rest of the students prefer statistics. Use the information to complete the pie chart.
Show solution
- A pie chart has 360° in total.
- Algebra: 35% of 360° = 0.35 × 360 = 126°
- Geometry: 2⁄9 of 360° = 360 ÷ 9 × 2 = 80°
- Statistics gets the rest: 360 − 126 − 80 = 154°
- Draw each sector with a protractor and label it.
May/June 2026 · Paper 3 · 0580/33/M/J/26 · Q11(a)
The bar chart shows the number of hours Kim studies some subjects in one week: history 6, geography 12, French 10 and music 7. The bar for science is missing. Kim studies these 5 subjects for a total of 40 hours.
(i) Complete the bar chart. (ii) Work out the percentage of the hours Kim studies geography.
Show solution
- The 5 subjects add up to 40 hours.
- The 4 bars shown add up to 6 + 12 + 10 + 7 = 35 hours.
- Science = 40 − 35 = 5 hours. Draw a bar of height 5, the same width as the other bars.
- Geography as a fraction of the total = 12⁄40.
- Change to a percentage: 12⁄40 × 100 = 30%
Feb/Mar 2026 · Paper 1 · 0580/12/F/M/26 · Q2
25 people own a bike. Flo asks each of these 25 people what type of bike they own. The bar chart shows the results for racing bikes (7) and road bikes (10).
(a) Complete the bar chart for the mountain bikes.
(b) How many more people own a road bike than own a racing bike?
Show solution
- The three bars must add up to 25 people.
- Racing + road = 7 + 10 = 17.
- Mountain = 25 − 17 = 8. Draw a bar of height 8, the same width as the other bars.
- Road − racing = 10 − 7 = 3
Feb/Mar 2026 · Paper 1 · 0580/12/F/M/26 · Q14
A school records the number of students who are late on each of 12 days: 17, 1, 23, 14, 18, 8, 8, 12, 10, 5, 22, 19. Complete the stem-and-leaf diagram. Key: 1 | 7 represents 17 students.
Show solution
- Split each number into tens (stem) and units (leaf). Single-digit numbers go on the 0 stem.
- Write the leaves for each stem in order from smallest to largest.
- 0 | 1 5 8 8 (1, 5, 8, 8)
- 1 | 0 2 4 7 8 9 (10, 12, 14, 17, 18, 19)
- 2 | 2 3 (22, 23)
- 0 | 1 5 8 8; 1 | 0 2 4 7 8 9; 2 | 2 3
- Check: 4 + 6 + 2 = 12 leaves, one for each day ✓
Feb/Mar 2026 · Paper 3 · 0580/32/F/M/26 · Q11
Ede asks 40 students if they prefer to drink water, juice or milk. She represents the results on a pie chart.
(a) The number of students who prefer milk is represented by a sector angle of 63°. Calculate the number of students who prefer milk.
(b) Twice as many students prefer water to juice. Calculate the sector angle that represents the number of students who prefer water.
Show solution
- 360° stands for 40 students, so each student is 360 ÷ 40 = 9°.
- Milk = 63 ÷ 9 = 7 students
- Water and juice share the rest of the circle: 360 − 63 = 297°.
- Twice as many prefer water as juice, so water : juice = 2 : 1. There are 3 parts.
- One part = 297 ÷ 3 = 99°, so water = 2 × 99 = 198°
Oct/Nov 2025 · Paper 1 · 0580/11/O/N/25 · Q14
These are the ages, in months, of each of 12 children: 11, 27, 8, 10, 26, 17, 28, 12, 9, 13, 22, 12
(a) Complete the stem-and-leaf diagram. Key: 1 | 7 represents 17 months.
(b) Find the number of children over 2 years old.
(c) Show that the median is 12.5.
Show solution
- Split each age into tens (stem) and units (leaf), then put the leaves in order on each stem.
- 0 | 8 9 (ages 8, 9)
- 1 | 0 1 2 2 3 7 (ages 10, 11, 12, 12, 13, 17)
- 2 | 2 6 7 8 (ages 22, 26, 27, 28)
- 0 | 8 9; 1 | 0 1 2 2 3 7; 2 | 2 6 7 8
- 2 years = 2 × 12 = 24 months. Ages over 24 months: 26, 27, 28.
- 3 children
- There are 12 values, so the median is halfway between the 6th and 7th values.
- Counting along the ordered list: 8, 9, 10, 11, 12, 12, 13, … so the 6th is 12 and the 7th is 13.
- Median = (12 + 13) ÷ 2 = 12.5 ✓
Oct/Nov 2025 · Paper 1 · 0580/13/O/N/25 · Q4
Ben records the favourite sport of each of 20 students: Football, Cricket, Hockey, Rugby, Football, Tennis, Rugby, Football, Football, Rugby, Tennis, Football, Rugby, Football, Cricket, Football, Rugby, Football, Cricket, Cricket. Complete the frequency table for cricket, football, hockey, rugby and tennis.
Show solution
- Go through the list once, making a tally mark for each sport.
- Count the tallies for each sport.
- Cricket 4, Football 8, Hockey 1, Rugby 5, Tennis 2
- Check: 4 + 8 + 1 + 5 + 2 = 20 ✓
Oct/Nov 2025 · Paper 3 · 0580/31/O/N/25 · Q12
300 students choose where to go on a trip: a zoo, a museum, an art gallery or a sports stadium. The pie chart shows the zoo sector and a right-angled museum sector.
(a) Show that 75 students choose the museum.
(b) 45 students choose the art gallery and 120 students choose the sports stadium. Complete the pie chart.
Show solution
- The museum sector has a right angle, so it is 90°, which is 90⁄360 = 1⁄4 of the circle.
- 1⁄4 of 300 = 75 ✓
- Each student = 360 ÷ 300 = 1.2°.
- Art gallery: 45 × 1.2 = 54°
- Stadium: 120 × 1.2 = 144°
- Draw both sectors with a protractor and label them.
Oct/Nov 2025 · Paper 3 · 0580/32/O/N/25 · Q12
The table shows the colour of 90 cars in a car park: black 16, white 34, other 40. (a) Complete the pie chart sector angles in the table. (b) Complete the pie chart.
Show solution
- 360° is shared between 90 cars, so each car is 360 ÷ 90 = 4°.
- Black: 16 × 4 = 64°
- White: 34 × 4 = 136°
- Other: 40 × 4 = 160°
- Check: 64 + 136 + 160 = 360 ✓
- Draw each sector with a protractor, measuring from the edge of the previous sector, and label it.
Oct/Nov 2025 · Paper 3 · 0580/33/O/N/25 · Q7
A newspaper prints a bar chart to show the number of cars sold by a garage in March, April and May. Give two reasons why the bar chart is incorrect.
Show solution
- A fair bar chart has bars of equal width and an evenly spaced scale. Check both.
- Reason 1: The bars are not all the same width, so some months look bigger than they really are.
- Reason 2: The vertical scale is not even: it goes up in 10s to 100, then jumps up in 25s.
May/June 2025 · Paper 1 · 0580/13/M/J/25 · Q11
Jo asks 90 people whether they prefer pop, rock, classical, jazz or folk music. The pie chart shows some of the results: pop 120° and rock 100°.
(a) Work out the number of people who prefer pop.
(b) The sector angle for classical is 80°. Draw this sector on the pie chart.
(c) 9 people prefer jazz and the rest prefer folk. (i) Work out the size of the sector angle for jazz. (ii) Complete the pie chart.
Show solution
- The whole pie chart, 360°, stands for 90 people.
- Pop has 120°, which is 120⁄360 = 1⁄3 of the circle.
- 1⁄3 of 90 = 30
- Use a protractor. Start from the edge of an existing sector and measure 80°.
- Draw an 80° sector next to the others with a protractor and label it classical.
- 360° ÷ 90 people = 4° for each person.
- Jazz = 9 people × 4° = 36°
- The folk sector is what is left: 360 − 120 − 100 − 80 − 36 = 24°.
- Draw the 36° jazz sector; the remaining 24° sector is folk.
0580 Statistical Charts and Diagrams past paper questions: Extended (Papers 2 and 4)
May/June 2026 · Paper 2 · 0580/21/M/J/26 · Q5
For four months, Hannah records the hours she spends swimming, running and cycling. The composite bar chart shows this information.
(a) Hannah spends more time running in … than in any of the other months.
(b) In May, Hannah spends 9 more hours swimming than she spends cycling. Find the number of hours Hannah spends swimming in July.
Show solution
- Compare the height of the running section (the part of each bar for running) in each month.
- It is tallest in July
- In May the swimming section is 3 gridlines taller than the cycling section, and that difference is 9 hours.
- So each gridline stands for 9 ÷ 3 = 3 hours.
- In July the swimming section is 4 gridlines tall: 4 × 3 = 12 hours
May/June 2026 · Paper 2 · 0580/23/M/J/26 · Q2
The table shows information about the favourite drink of each of 60 students.
| favourite drink | number of students | pie chart angle |
|---|---|---|
| tea | 24 | 144° |
| chocolate | 4 | |
| coffee | 32 |
(a) Complete the table. (b) Draw a pie chart to show the information in the table.
Show solution
- The whole pie chart, 360°, stands for 60 students.
- Each student = 360 ÷ 60 = 6°.
- Chocolate: 4 × 6 = 24°
- Coffee: 32 × 6 = 192°
- Check: 144 + 24 + 192 = 360 ✓
- Draw a circle and one radius as a starting line.
- Use a protractor to measure and draw the 144° sector, then the 24° sector next to it. What is left is 192°.
- Label each sector with its drink.
Oct/Nov 2025 · Paper 2 · 0580/22/O/N/25 · Q5
The pie chart shows some information about the way 600 students travel to school. The walk sector is a right angle (90°) and the bicycle sector is 60°.
(a) Work out the number of students that walk to school.
(b) 120 of the students travel to school by car. The remaining students travel by bus. Complete the pie chart.
Show solution
- The walk sector is 90°, which is 90⁄360 = 1⁄4 of the circle.
- Walk = 1⁄4 of 600 = 150 students
- Each student is 360 ÷ 600 = 0.6° of the pie chart.
- Car: 120 × 0.6 = 72°
- Bus is what is left: 360 − 90 − 60 − 72 = 138°
- Draw both sectors with a protractor and label them.
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