Mathematics 0580 · IGCSE

Statistical charts and diagrams

86 practice questions on Statistical charts and diagrams, with worked solutions and instant marking.

The bar chart displays how many students are in Classes A, B, C, D and F. The vertical axis is marked "Number of students" and goes from 0 to 30. The horizontal axis is marked "Class" and lists A, B, C, D, E and F. The bars shown are: A = 22, B = 15, C = 19, D = 24, F = 14. No bar is drawn for Class E.

Feb/March 2017

The pie chart illustrates the way Miranda used her time yesterday. The segments are named Playing, Eating, Sleeping, Watching TV, and Working.

Feb/March 2017

60 boys were asked to name their favourite sport. The outcomes are displayed in the pie chart. The pie chart shows these labelled sectors and angles: Judo: $30^{\circ}$ Hockey: sector shown with angle $48^{\circ}$ Running: sector shown with angle $72^{\circ}$ Swimming: sector shown with angle $120^{\circ}$ Tennis: sector shown with angle $90^{\circ}$.

Feb/March 2019

For 12 days, the number of swimmers in a pool was noted each day. The counts were 24, 28, 13, 38, 15, 26, 45, 21, 48, 36, 18, 38. Key: $1|3$ means 13 swimmers.

Feb/March 2020

The count of swimmers in a pool is noted each day over 12 days: 24, 28, 13, 38, 15, 26, 45, 21, 48, 36, 18, 38. Key: $1|3$ stands for 13 swimmers.

Feb/March 2020

Over 14 days, the number of passengers on a bus is noted each day: 15, 18, 22, 17, 35, 38, 24, 19, 19, 24, 25, 31, 36, 29.

Feb/March 2021

The table gives some details about a café's opening times. The café is open for 4 days each week. Day | Opening time | Closing time | Number of hours open Thursday | 8 am | 4.30 pm | Friday | 8.30 am | | 7 1/2 Saturday | 9.30 am | 5.30 pm | 8 Sunday | | 3.30 pm | 5 Total number of hours open: 29

Feb/March 2023

Manjit asks 30 students which kind of book they prefer: joke books, puzzle books or poetry books. The outcomes are recorded in the table. Book type | Number of students | Pie chart sector angle Joke | 8 Puzzle | 18 Poetry | 4

Feb/March 2023

A car park contains 20 cars, and 3 of them are blue.

Feb/March 2024

This company sells goods either through a website or in shops. The composite bar chart illustrates the percentages of sales made on the website and in shops in January, February and March. The key for the bar chart is: white = sales in shops, shaded = sales on website.

Feb/March 2025

Mo asks a group of people whether they prefer sun, rain or wind. The pie chart gives the results. The sectors are marked Sun, Wind and Rain. The Wind sector has an angle of $95^\circ$ and the Rain sector has an angle of $80^\circ$. 45 more people choose wind than rain.

Feb/March 2025

Every child in a school is asked to choose a favourite colour. The pie chart presents the results. The sectors are labelled: Green, Red, Blue and Yellow.

May/June 2015

On one day, Raphael asked 90 people at a station why they were travelling by train.

May/June 2015

Forty-five athletes in a club were asked to select a colour for their club vests. The options were red, blue and green. The pie chart shows the sector representing the members who picked red.

May/June 2016

Deborah keeps a tally of the number of minutes late, $t$, for trains as they arrive at a station. This histogram presents the data. The horizontal axis is marked “Number of minutes late” and runs from $0$ to $25$. The vertical axis is marked “Frequency density”.

May/June 2016

Twenty children were asked to pick their favourite fruit juice. Their responses are shown below. Orange Apple Apple Pineapple Mango Tropical Orange Mango Apple Mango Pineapple Apple Apple Mango Orange Apple Mango Pineapple Orange Apple

May/June 2016

A group of children selected their preferred ice-cream flavour from chocolate, vanilla, strawberry and banana. Some of the outcomes are displayed in the pie chart below. The pie chart has the following text labels and angles: Chocolate sector with no angle shown. Vanilla sector with no angle shown. One angle labelled $72^{\circ}$. One angle labelled $126^{\circ}$.

May/June 2017

Jason is at school for 480 minutes each day. The pie chart illustrates how that time is divided among three lessons. The sectors are named Maths, English and Science. The angle of the English sector is shown as 45^{\circ}.

May/June 2019

The table gives the numbers of people in several age bands at a cinema. Dexter makes a histogram to represent the data. The bar he sketches for the class $15<y\leq25$ has height $7\text{ cm}$.

May/June 2019

Each of the 80 students writes the name of their mathematics teacher. The bar chart shows how many of these students are taught by Mr House and by Miss Patel. The teacher names on the bar chart are Mr Jones, Mrs Brown, Mr House, Miss Patel and Mr Smith, and the frequency scale goes up to 24.

May/June 2019

Zachary asks the 30 students in his class to name their favourite sport. The results are shown in the table. Netball: 7, Football: 12, Hockey: 6, Tennis: 5. A pictogram is displayed with rows labelled Netball, Football, Hockey and Tennis. In the Netball row, there is one full circle split into four equal sections and one circle that is half shaded. Key: one full circle stands for 4 people.

May/June 2021

Complete the table.

May/June 2021

15 people sit a test. Their test scores are listed here. 29, 27, 12, 32, 42, 26, 7, 23, 22, 31, 40, 9, 18, 35, 8.

May/June 2021

At an activity centre, students select one from four activities. The bar chart displays some of their selections.

May/June 2022

This stem-and-leaf diagram gives the school journey times of some students. 1 | 3 5 7 9 9 2 | 3 4 5 3 | 0 3 4 6 7 4 | 2 4 5 8 Key: 1|3 means 13 minutes

May/June 2022

Sammy notes down the favourite hot drink chosen by some students. He uses a bar chart to present the information. The vertical axis has the label Frequency. The categories shown are Hot chocolate, Coffee and Tea.

May/June 2022

Thibault counts how many cars of each colour are in a car park. Colour: Black, White, Silver, Red Number of cars: 8, 5, 4, 3

May/June 2022

These 12 parcels have masses, in kg, of 0.3, 0.4, 1.2, 0.8, 1.1, 2.1, 1.7, 1.8, 1.2, 2.3, 0.7 and 1.1. A stem-and-leaf diagram is given with stems 0, 1 and 2. Key: $0|3$ represents $0.3\,\text{kg}$.

May/June 2022

Thibault counts how many cars of each colour are in a car park.

May/June 2022

The masses, measured in kg, of 12 parcels are: 0.3, 0.4, 1.2, 0.8, 1.1, 2.1, 1.7, 1.8, 1.2, 2.3, 0.7, 1.1. A stem-and-leaf diagram uses stems 0, 1, 2. Key: 0 | 3 stands for 0.3 kg.

May/June 2022

The frequency table below records the mass, $m$ kg, for each of $150$ children: Mass (kg): $0 < m \le 10$, $10 < m \le 20$, $20 < m \le 25$, $25 < m \le 40$, $40 < m \le 50$ Frequency: $12$, $38$, $32$, $50$, $18$.

May/June 2022

Over ten days, Stefan notes how many minutes he waits for a train: 1, 3, 12, 5, 4, 23, 5, 24, 11, 8. A stem-and-leaf diagram is given with stems 0, 1 and 2. Key: 0|1 means 1 minute.

May/June 2023

Over ten days, Stefan notes the number of minutes that he waits for a train. $1\; 3\; 12\; 5\; 4\; 23\; 5\; 24\; 11\; 8$

May/June 2023

Claudia gets some students to pick their preferred science subject from biology, chemistry and physics. The pie chart summarises the outcomes. It is split into three sectors named Biology, Chemistry and Physics. Biology has angle $45^{\circ}$. Physics has angle $225^{\circ}$. Chemistry is the sector left over.

May/June 2023

Complete the stem-and-leaf diagram shown.

May/June 2023

A pizza delivery driver notes how many pizzas he delivers each month over one year: 48, 44, 39, 28, 57, 22, 36, 41, 54, 57, 49, 52. A stem-and-leaf diagram is displayed with stems 2, 3, 4, and 5. The key says that $4|8$ stands for 48 pizzas.

May/June 2024

A delivery driver keeps a monthly record of how many pizzas she delivers over one year. 48, 44, 39, 28, 57, 22, 36, 41, 54, 57, 49, 52

May/June 2024

Chen asks a group of people whether they would choose a beach, cruise, lake or mountain holiday. The pie chart summarises the findings. Its sectors are marked: Beach $135^{\circ}$, Cruise $30^{\circ}$, Lake $75^{\circ}$, Mountain $120^{\circ}$.

May/June 2024

Anton counts the pets owned by each of 50 families. Some of his results are shown in the table. There are 2 times as many families with 4 pets as there are with 5 pets.

May/June 2024

Twice as many football players vote for blue as for orange. Complete the bar chart.

May/June 2024

The table gives the journey time to school for each of the 40 students.

May/June 2024

Jo surveys 90 people to see whether they like pop, rock, classical, jazz or folk music. The pie chart presents some of the outcomes. The sector angles given are Pop = 120^{\circ} and Rock = 100^{\circ}.

May/June 2025

A group contains 15 giraffes. Information given: One giraffe has a height of 2.6 m. No giraffe is below 2.5 m. The range of the heights of the 15 giraffes is 2.3 m. More than 3 giraffes have the same height. The modal height of the giraffes is 3.9 m. A stem-and-leaf diagram is displayed for 9 giraffes. Stem-and-leaf shown: 2 | 5 3 | 2 7 7 4 | 1 1 4 5 7 Key: 4|1 represents a giraffe height of 4.1 m.

May/June 2025

The pictogram indicates the number of goals scored by teams A, B and C. A table gives: Team A: three complete symbols and one quarter symbol Team B: four complete symbols and one half symbol Team C: one complete symbol and one half symbol Team D: no symbols Key: one complete symbol stands for 4 goals.

May/June 2025

Kim and Tom question a group of students about whether they prefer Chemistry, Biology or Physics. Kim plots the bars for Biology and Physics on a bar chart. The vertical axis is labelled 'Number of students' and goes from 0 to 10. The Biology bar reaches 9 students. The Physics bar reaches 7 students. Tom plots the Chemistry sector on a pie chart labelled 'Chemistry', with an angle of 120^{\circ}.

May/June 2025

The histogram presents data on the distance that some people travel to get to work. The vertical axis represents frequency density, and the horizontal axis represents distance (km).

May/June 2025

The pie chart together with the table gives information about how students travel and how many children there are in each household.

Oct/Nov 2015

How long does the flight last?

Oct/Nov 2015

Juan surveys 40 people about the language spoken at home. The results are shown in the table: English 18 (162^{\circ}), French 11, Spanish 7, Other 4. Juan intends to use a pie chart to display this information.

Oct/Nov 2017

Determine the number of minutes Pablo needs to travel to school.

Oct/Nov 2017

Nico surveyed all 900 students at her school to find their favourite subject. The only options were Science, Art, Mathematics, History or Geography. Some of the results are displayed in the pie chart. The labels on the pie chart include: Science, Art (marked $18^{\circ}$), Mathematics.

Oct/Nov 2017

Among 120 students deciding what to do after they leave school, the choices are listed in the table: University 57, Training 45, Work 18.

Oct/Nov 2018

A total of 120 students decide what they will do after leaving school. The table shows their choices: Choice: University $57$, Training $45$, Work $18$.

Oct/Nov 2018

Lena runs a café.

Oct/Nov 2018

In May, 6 films were shown, while June had 4 films shown. Complete the bar chart.

Oct/Nov 2018

Several people each noted their preferred holiday destination. The outcomes are displayed in the pie chart. The pie chart sectors are named: USA, Bali, Brazil, Caribbean, Mexico. The angles written inside the chart are: 118^{\circ}, 72^{\circ}, 36^{\circ}, and 108^{\circ}.

Oct/Nov 2018

The table gives the ways children in Ivan’s class get to school: Walk 12; Car 7; Bicycle 9; Bus 4.

Oct/Nov 2019

The table gives the ways children in Ivan’s class go to school. Walk: 12 Car: 7 Bicycle: 9 Bus: 4 Ivan intends to draw a pie chart to represent this data.

Oct/Nov 2019

The travel times, $t$ minutes, for 50 students to get to school are collected. The results are listed in the table.

Oct/Nov 2019

José is in charge of a football team. He notes the number of goals the team scores in each of five months. Part of the data is shown on the bar chart. The vertical axis on the bar chart is labelled "Number of goals" from 0 to 28 and the horizontal axis is labelled "Month" with months Nov, Dec, Jan, Feb, Mar. Bars shown are: Nov at 12 goals, Dec at 26 goals, Jan at 19 goals, and Mar at 15 goals. February is not shown.

Oct/Nov 2019

Fernando notes the favourite sport for each of 20 people. The sports shown are: football, cricket, rugby, cricket, rugby, rugby, football, football, rugby, football, cricket, rugby, tennis, football, tennis, football, rugby, cricket, football, cricket.

Oct/Nov 2020

This bar chart illustrates the rainfall amount, in mm, recorded in each month of one year in a city.

Oct/Nov 2020

George, Louis and Beatriz run a café together.

Oct/Nov 2020

Express this number in figures.

Oct/Nov 2021

Calculate the change he gets from a $20 note.

Oct/Nov 2021

Complete the bar chart by filling in the missing bar.

Oct/Nov 2021

Show that 100 people choose tennis.

Oct/Nov 2021

The birth weights of 11 babies, measured in kg, are as follows: 2.1, 1.6, 2.7, 4.2, 4.0, 2.2, 3.1, 1.7, 2.6, 3.3, 3.7.

Oct/Nov 2022

Victoria notes the colour of every one of the 240 cars leaving a car park. Part of the data is displayed in the pie chart. The chart shows a blue sector of a right angle, together with a green sector measuring $27^{\circ}$.

Oct/Nov 2022

Jo is counting how many of each nut type are in a bag. The pie chart is used to display the results. The sectors on the pie chart are named: Peanuts, Hazelnuts, Almonds, Brazil nuts. Two of the sectors have central angles of $108^\circ$ and $120^\circ$.

Oct/Nov 2022

The jump distances, measured in centimetres, are recorded for 136 girls and 144 boys. Box-and-whisker plots are then used to display the distributions of these distances.

Oct/Nov 2022

Miguel is employed in an office.

Oct/Nov 2022

There are 24 people who each own a car.

Oct/Nov 2022

How many of these students live in Brazil?

Oct/Nov 2023

Heidi notes the colour of every one of 500 cars passing over a bridge. The pie chart displays part of this data. The sectors already drawn are named Grey, Red and Other.

Oct/Nov 2023

The table records how many of each kind of bird were spotted in a garden on Monday. Goldfinch: 8 Jay: 6 Starling: 11 Robin: 5

Oct/Nov 2023

Anton notes the colour of every car in a car park. His findings are presented in the table.

Oct/Nov 2024

Jack carries out a survey on cycling.

Oct/Nov 2024

Draw the lines of symmetry for this rectangle.

Oct/Nov 2024

Kurt has toy cars in several colours. The pictogram indicates how many there are of each colour. Key: one complete symbol stands for 8 cars.

Oct/Nov 2024

Guillaume records the speed of each of the 100 cars. The table displays the results.

Oct/Nov 2024

The masses, measured in kg, of these 11 bags are: 23, 16, 8, 10, 27, 19, 4, 17, 13, 4, 14.

Oct/Nov 2025

The pie chart gives some details about how 600 students travel to school. Pie chart labels: Walk. Bicycle. The Walk sector is a right angle (90^{\circ}). The Bicycle sector measures 60^{\circ}.

Oct/Nov 2025

There are 300 students deciding where to go on a trip. They may go to a zoo, a museum, an art gallery or a sports stadium. A pie chart is shown with Zoo and Museum sectors; the Museum sector is labelled as a right angle.

Oct/Nov 2025

The survey results for the colours of 90 cars in a car park are shown in the table.

Oct/Nov 2025

A newspaper publishes this bar chart to show how many cars were sold by a garage in March, April and May.

Oct/Nov 2025