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34 questions at your level
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Level 1
Level 2
Level 3
Level 4
Level 5
Bar charts & pie charts
11 questions
Lesson
Not started
Mark as done
The bar chart shows the number of school lunches sold on four days.
5
-5
5
10
15
20
25
30
35
40
45
50
55
Mon
Tue
Wed
Thu
Lunches sold
How many more lunches were sold on Tuesday than on Wednesday?
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Level 1
1 mark
Start
→
Mark as done
60
60
60
students were asked their favourite colour.
15
15
15
said blue. In a pie chart of the results, work out the angle for blue.
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Level 1
2 marks
Start
→
Mark as done
30
30
30
students were asked to name their favourite fruit. The table shows the results.
Fruit
Apple
Banana
Orange
Pear
Frequency
9
12
5
4
A pie chart is to be drawn to show this information.
(a)
Work out the size of the angle of the sector for
Banana
.
(b)
Work out the size of the angle of the sector for
Orange
.
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Level 2
3 marks
Start
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Mark as done
72
72
72
students were each asked to name their favourite sport.
The results are to be shown in a pie chart.
(a)
15
15
15
students chose football. Work out the angle of the sector for football. (2 marks)
(b)
The angle of the sector for tennis is
55
°
55°
55°
. Work out how many students chose tennis. (2 marks)
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Level 2
4 marks
Start
→
Mark as done
10
20
30
40
50
Mon
Tue
Wed
Thu
Number of lunches
The bar chart shows the number of lunches sold in a school canteen on each of four days.
(a)
Write down the number of lunches sold on Wednesday.
(b)
Work out the total number of lunches sold over the four days.
(c)
The bars on this chart are drawn with gaps between them. Explain why.
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Level 3
4 marks
Start
→
Mark as done
A pie chart shows how
720
720
720
people travelled to a music festival.
(a)
The sector for 'train' has an angle of
150
°
150°
150°
. Work out the number of people who travelled by train.
(b)
96
96
96
of the people cycled. Work out the size of the angle of the sector for 'cycled'.
(c)
The organisers also want a diagram showing, side by side, how many people used each type of transport this year and how many used it last year. Explain why a dual (comparative) bar chart would show this better than two pie charts.
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Level 3
5 marks
Start
→
Mark as done
A kiosk drew a pie chart of the flavours of ice cream it sold one afternoon.
The sector for mint has an angle of
54
°
54°
54°
and represents
12
12
12
ice creams.
(a)
Work out the total number of ice creams sold that afternoon.
(b)
30
30
30
of the ice creams sold were vanilla. Work out the size of the angle of the sector for vanilla.
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Level 3
4 marks
Start
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Mark as done
Every student at Ashbourne School and every student at Beckworth School named their favourite subject. The results were shown in two pie charts.
Ashbourne School has
400
400
400
students. Beckworth School has
250
250
250
students.
On
both
pie charts the sector for Science has an angle of
72
°
72°
72°
.
(a)
Work out the number of students at Ashbourne School who chose Science.
(b)
Work out the number of students at Beckworth School who chose Science.
(c)
Priya says: "The two sectors are the same size, so the same number of students chose Science at each school." Explain why Priya is wrong.
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Level 4
5 marks
Start
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Mark as done
10
20
30
40
50
60
70
80
Adult
Child
Play 1
Play 2
Play 3
Number of tickets
The composite bar chart shows the number of tickets sold for each of three school plays. In every bar the lower section shows adult tickets and the upper section shows child tickets.
(a)
Work out the number of child tickets sold for Play 3.
(b)
Work out the total number of tickets sold for the three plays.
(c)
Explain why this chart makes it harder to compare the numbers of
child
tickets across the three plays than a dual (comparative) bar chart would.
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Level 4
5 marks
Start
→
Mark as done
60
60
60
people were asked to name their favourite pizza topping. Everyone chose cheese, ham or mushroom.
A pie chart was drawn. The angles of the sectors for cheese, ham and mushroom are in the ratio
5
:
4
:
3
5 : 4 : 3
5
:
4
:
3
.
(a)
Work out the size of the angle of the sector for cheese.
(b)
Work out the number of people who chose mushroom.
(c)
A second survey asked
180
180
180
people the same question. Its pie chart has exactly the same three angles as the first. Work out how many more people chose mushroom in the second survey than in the first.
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Level 5
6 marks
Start
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Mark as done
A pie chart shows the types of tree in Hallow Wood. Every tree is an oak, a birch or a pine.
The sector for oak has an angle of
84
°
84°
84°
, and there are
35
35
35
oak trees.
(a)
Work out the total number of trees in Hallow Wood.
(b)
There are
45
45
45
birch trees. Work out the size of the angle of the sector for pine.
(c)
Marden Wood contains
240
240
240
trees, and its pie chart has exactly the same three angles as the Hallow Wood chart. Ben says: "Marden Wood has twice as many oak trees as Hallow Wood." Is Ben right? You must show your working.
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Level 5
7 marks
Start
→
Two-way tables
12 questions
Lesson
Not started
Mark as done
The two-way table shows how some students travel to school.
Walk
Bus
Total
Boys
12
12
12
8
8
8
20
20
20
Girls
9
9
9
\;
22
22
22
Total
21
21
21
\;
42
42
42
How many girls take the bus?
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Level 1
1 mark
Start
→
Mark as done
The two-way table shows how some students travel to school.
Walk
Bus
Total
Boys
12
12
12
8
8
8
20
20
20
Girls
9
9
9
13
13
13
22
22
22
Total
21
21
21
21
21
21
42
42
42
One of these students is picked at random. Write down the probability that the student walks to school.
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Level 1
1 mark
Start
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Mark as done
The two-way table shows information about the
90
90
90
members of a walking group and the route each member completed on a charity walk.
5 km
10 km
15 km
Total
Adult
14
14
14
26
26
26
22
22
22
62
62
62
Junior
17
17
17
8
8
8
3
3
3
28
28
28
Total
31
31
31
34
34
34
25
25
25
90
90
90
(a)
Write down the number of juniors who completed the 10 km route.
(b)
Work out how many of the members completed a route of at least 10 km.
(c)
Work out how many more adults than juniors completed the 15 km route.
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Level 2
5 marks
Start
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Mark as done
80
80
80
students each study exactly one language: French, Spanish or German.
45
45
45
of the students are girls.
20
20
20
students study Spanish, and
8
8
8
of these are girls.
25
25
25
girls study French.
12
12
12
boys study German.
(a)
Work out how many boys study French. (2 marks)
(b)
One of the students who studies German is chosen at random.
Work out the probability that this student is a girl. (1 mark)
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Level 2
3 marks
Start
→
Mark as done
A shop received
180
180
180
orders in one week. Each order was either collected in store or delivered, and each order was paid for by card or by cash.
The two-way table shows some information about the orders.
Card
Cash
Total
Collected in store
27
27
27
75
75
75
Delivered
Total
144
144
144
180
180
180
(a)
Complete the two-way table.
(b)
Work out how many more orders were paid for by card than were paid for by cash.
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Level 3
5 marks
Start
→
Mark as done
120
120
120
people were asked whether they had visited the town's new library.
70
70
70
of the people were female.
45
45
45
of the females had visited the library.
32
32
32
of the males had
not
visited the library.
(a)
Use this information to complete the two-way table.
Visited
Not visited
Total
Male
Female
Total
120
120
120
(b)
Work out how many more of the
120
120
120
people had visited the library than had not visited it.
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Level 3
5 marks
Start
→
Mark as done
A cinema sold
240
240
240
tickets for a film. Each ticket was a standard, a premium or a VIP ticket, and each ticket was bought online or at the desk.
The two-way table shows some information about the tickets.
Standard
Premium
VIP
Total
Online
86
86
86
17
17
17
At the desk
35
35
35
96
96
96
Total
132
132
132
76
76
76
240
240
240
(a)
Complete the two-way table.
(b)
Work out how many of the tickets sold were premium tickets or VIP tickets.
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Level 3
5 marks
Start
→
Mark as done
There are
30
30
30
students in a class.
18
18
18
of them are girls.
12
12
12
of the students wear glasses.
7
7
7
of the girls wear glasses.
A student is chosen at random. Work out the probability that the student is a boy who does not wear glasses. (3 marks)
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Level 3
3 marks
Start
→
Mark as done
Aisha asked
200
200
200
shoppers how they had travelled to the shops, and recorded their age group as well. She put her results into this two-way table.
Under 25
25 or over
Total
Walked
38
38
38
57
57
57
95
95
95
Drove
46
46
46
69
69
69
105
105
105
Total
84
84
84
116
116
116
200
200
200
(a)
Show that Aisha's table cannot be correct.
(b)
All of the totals in Aisha's table are correct, and only one of the four numbers
inside
the table was recorded wrongly.
Work out the correct value of that number.
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Level 4
5 marks
Start
→
Mark as done
180
180
180
people were asked whether they had read a particular book and whether they had seen the film of that book.
3
5
\frac{3}{5}
5
3
of the people had seen the film.
1
4
\frac{1}{4}
4
1
of the people who had seen the film had also read the book.
Altogether
40
40
40
of the people had read the book.
(a)
Use this information to complete the two-way table.
Read the book
Not read the book
Total
Seen the film
Not seen the film
Total
180
180
180
(b)
Work out how many of the
180
180
180
people had read the book or had seen the film (or both).
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Level 4
6 marks
Start
→
Mark as done
There are
240
240
240
students in Year 11 at a school. Each student studies exactly one of French, Spanish and German.
132
132
132
of the students are girls.
54
54
54
of the girls study French and
45
45
45
of the girls study German.
90
90
90
of the
240
240
240
students study French.
The number of boys who study Spanish is twice the number of boys who study German.
(a)
Complete the two-way table.
French
Spanish
German
Total
Girls
54
54
54
45
45
45
132
132
132
Boys
Total
90
90
90
240
240
240
(b)
Work out how many more students study Spanish than study German.
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Level 4
6 marks
Start
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Mark as done
A sports centre has
260
260
260
members. Each member is a junior or an adult, and each member has swimming, tennis or athletics as their main sport.
100
100
100
of the members are juniors.
33
33
33
of the juniors have athletics as their main sport.
The number of adults whose main sport is swimming is three times the number of juniors whose main sport is tennis.
15
15
15
more adults than juniors have tennis as their main sport.
Altogether
105
105
105
members have swimming as their main sport.
(a)
Work out the number of juniors whose main sport is tennis.
(b)
Complete the two-way table.
Swimming
Tennis
Athletics
Total
Junior
33
33
33
100
100
100
Adult
Total
105
105
105
260
260
260
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Level 5
7 marks
Start
→
Time series
11 questions
Lesson
Not started
Mark as done
The time series graph shows the number of ice creams (in hundreds) a shop sold each quarter over two years.
2
4
6
8
4
8
12
16
20
24
28
32
36
40
Quarter (1 = Q1 of 2024)
Ice creams sold (hundreds)
In which quarter were the most ice creams sold, and how many was that?
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Level 1
2 marks
Start
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Mark as done
The time series graph shows the number of ice creams (in hundreds) a shop sold each quarter over two years.
2
4
6
8
4
8
12
16
20
24
28
32
36
40
Quarter (1 = Q1 of 2024)
Ice creams sold (hundreds)
Work out the difference between the sales in quarter
3
3
3
and quarter
4
4
4
.
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Level 1
1 mark
Start
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Mark as done
An estate agent recorded the number of houses she sold in each quarter of 2023 and 2024.
The time-series graph below shows this information. Quarter 1 on the graph is the first quarter of 2023 and quarter 5 is the first quarter of 2024.
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Quarter (1 = Q1 of 2023)
Houses sold
(a)
Write down the number of houses she sold in quarter 2 of 2024.
(b)
Work out the difference between the greatest and the least number of houses she sold in a quarter of 2023.
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Level 2
3 marks
Start
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Mark as done
The time series graph shows the number of ice creams (in hundreds) a shop sold each quarter over two years.
2
4
6
8
4
8
12
16
20
24
28
32
36
40
Quarter (1 = Q1 of 2024)
Ice creams sold (hundreds)
Describe the pattern the graph shows.
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Level 2
2 marks
Start
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Mark as done
Ashdown Hall is a wedding venue. The time-series graph shows the number of weddings held there in each quarter from 2022 to 2024.
Quarter 1 on the graph is the first quarter of 2022, quarter 5 is the first quarter of 2023 and quarter 9 is the first quarter of 2024.
1
2
3
4
5
6
7
8
9
10
11
12
13
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Quarter (1 = Q1 of 2022)
Weddings held
(a)
Write down the number of weddings held in quarter 3 of 2023.
(b)
Describe the trend in the number of weddings held at Ashdown Hall. You must refer to figures from the graph.
(c)
Estimate the number of weddings that will be held in quarter 1 of 2025.
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Level 3
5 marks
Start
→
Mark as done
A garden centre records its sales of garden furniture. The table shows the sales, in £ thousand, in each quarter of 2023, 2024 and 2025. The quarter 4 figure for 2025 is not yet known.
Sales (£ thousand)
Quarter 1
Quarter 2
Quarter 3
Quarter 4
2023
18
46
52
21
2024
23
51
58
27
2025
28
56
64
—
(a)
Describe the trend in the garden centre's sales of garden furniture. You must refer to figures from the table.
(b)
Estimate the sales, in £ thousand, in quarter 4 of 2025. You must explain how you obtained your estimate.
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Level 3
4 marks
Start
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Mark as done
The time-series graph shows the number of new members who joined Fairfield Swimming Club in each quarter from 2023 to 2025.
Quarter 1 on the graph is the first quarter of 2023, quarter 5 is the first quarter of 2024 and quarter 9 is the first quarter of 2025.
1
2
3
4
5
6
7
8
9
10
11
12
13
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Quarter (1 = Q1 of 2023)
New members
(a)
Rob says: "The graph just goes up and down, so there is no overall trend."
Explain why Rob is wrong. You must refer to figures from the graph.
(b)
Explain why this graph should not be used to predict the number of new members who will join in quarter 1 of 2040.
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●
Level 4
5 marks
Start
→
Mark as done
A gift shop on a seaside promenade employs part-time staff. The time-series graph shows the number of part-time staff it employed in each quarter from 2023 to 2025.
Quarter 1 on the graph is the first quarter of 2023, quarter 5 is the first quarter of 2024 and quarter 9 is the first quarter of 2025.
1
2
3
4
5
6
7
8
9
10
11
12
13
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Quarter (1 = Q1 of 2023)
Part-time staff
(a)
Describe the seasonal variation shown by the graph.
(b)
Chloe says: "The number of part-time staff the gift shop employs is increasing."
Is Chloe correct? You must give a reason for your answer.
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Level 4
4 marks
Start
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Mark as done
The table shows the electricity cost, in pounds, for a small factory in each quarter of 2023 and in the first three quarters of 2024.
Electricity cost (£)
Quarter 1
Quarter 2
Quarter 3
Quarter 4
2023
1420
980
910
1310
2024
1530
1060
970
—
The total electricity cost for the whole of 2024 was £4970.
(a)
Work out the electricity cost for quarter 4 of 2024.
(b)
The factory manager says: "In 2024 the cost fell from £1530 in quarter 1 to £970 in quarter 3, so our electricity is getting cheaper."
Explain why the manager may be wrong.
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●
Level 4
4 marks
Start
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Mark as done
Sam sells caravans. The time-series graph shows the number of caravans he sold in each quarter of 2024 and 2025.
Quarter 1 on the graph is the first quarter of 2024 and quarter 5 is the first quarter of 2025.
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Quarter (1 = Q1 of 2024)
Caravans sold
(a)
Work out the total number of caravans Sam sold in 2025.
(b)
Work out the percentage increase in the total number of caravans sold from 2024 to 2025.
Give your answer correct to 1 decimal place.
(c)
Sam also draws a scatter graph showing the age and the price of each of 20 second-hand caravans. He joins the points on that scatter graph with straight lines, as he did on the time-series graph above.
Explain why joining the points is sensible on the time-series graph but not on the scatter graph.
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Level 5
7 marks
Start
→
Mark as done
A firm hires out camper vans. The time-series graph shows the number of camper vans it hired out in each quarter from 2023 to 2025.
Quarter 1 on the graph is the first quarter of 2023, quarter 5 is the first quarter of 2024 and quarter 9 is the first quarter of 2025.
1
2
3
4
5
6
7
8
9
10
11
12
13
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Quarter (1 = Q1 of 2023)
Camper vans hired
(a)
Work out the increase in the number of camper vans hired out in quarter 2 from 2023 to 2025.
(b)
Adele says: "In each year the firm hires out about four times as many camper vans in quarter 3 as in quarter 1, so that will always be true."
Comment on Adele's statement. You must refer to figures from the graph.
(c)
Adele uses the graph to predict that the firm will hire out 28 camper vans in quarter 3 of 2040.
Explain why this prediction is unreliable.
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Level 5
5 marks
Start
→