Bar Charts (Part 2) - Worksheets, Questions and Revision

18 original exam-style questions - 9 pages of questions with a full mark scheme - free printable PDF.

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2.15B Bar Charts (Part 2)

EDEXCEL 1MA1 · Calculator allowed · about 80 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

30 pupils at a Saturday sports club were asked which sport they play. The results are shown in the table. This data could be used to draw a bar chart.

Sport	Football	Netball	Cricket	Athletics
Frequency	12	9	6	3

(a)Write down the number of pupils who play cricket.(1)

(b)Work out how many more pupils play football than play athletics.(2)

(Total for Question 1 is 3 marks)

A car park attendant recorded the colour of 32 cars parked outside a supermarket. The results are shown in the table.

Colour	Red	Blue	Black	Silver
Frequency	7	11	9	5

A bar chart is going to be drawn to show this information.

(a)Write down the colour that would have the tallest bar.(1)

(b)Work out the total number of cars recorded.(2)

(Total for Question 2 is 3 marks)

For each statement about bar charts, write down whether it is True or False.

(i)The height of each bar in a bar chart represents the frequency of that category.(1)

(ii)A bar chart can only be drawn with the bars arranged in alphabetical order of category.(1)

(Total for Question 3 is 2 marks)

The table shows the weather recorded each day in Whitby during March (31 days).

Weather	Sunny	Cloudy	Rainy	Snowy
Number of days	11	13	6	1

(a)Which weather type would have the second tallest bar on a bar chart of this data?(1)

A) Sunny
B) Cloudy
C) Rainy
D) Snowy

(b)Work out the number of days that were not sunny.(2)

(Total for Question 4 is 3 marks)

24 pupils in an orchestra club were asked which instrument they play. The results are shown in the table.

Instrument	Violin	Flute	Trumpet	Drums
Frequency	9	5	3	7

On the grid provided, draw a bar chart to show this information.

Figure (to be drawn): Blank grid: horizontal axis 'Instrument' with space for four bars labelled Violin, Flute, Trumpet, Drums; vertical axis 'Frequency' to be scaled from 0 to 10, gridlines every 1, ready for bars to be drawn.

(Total for Question 5 is 3 marks)

The amount of recycling collected, in kg, on two streets over three months is shown in the table.

Month	Elm Street	Oak Street
January	42	35
February	38	51
March	55	44

(a)Write down the amount of recycling collected on Oak Street in January.(1)

(b)Work out the combined amount of recycling collected by both streets in March.(2)

(c)Work out how much more recycling, in total over the three months, was collected on Elm Street than on Oak Street.(2)

(Total for Question 6 is 5 marks)

A horizontal bar chart is to be drawn to show the favourite subject of 100 Year 8 pupils at a school. The table gives the data.

Subject	Maths	English	Science	Art
Number of pupils	34	22	28	16

Remember that in a horizontal bar chart, the LENGTH of each bar (not its height) represents the frequency.

(a)Write down which subject's bar would be the longest.(1)

(b)Work out the percentage of pupils whose favourite subject is Art.(2)

(Total for Question 7 is 3 marks)

The frequency table shows the number of text messages sent yesterday by each of 20 pupils in a class. This data could be shown on a vertical line chart.

Number of texts	0	1	2	3	4
Frequency	3	6	7	3	1

(a)Write down the mode of the number of texts sent.(1)

(b)Work out the range of the number of texts sent.(2)

(Total for Question 8 is 3 marks)

The composite (stacked) bar chart shows the number of tickets sold for a school play over three performances. Each bar is split into an adult-ticket section and a child-ticket section.

Figure (to be drawn): Composite (stacked) bar chart: horizontal axis 'Performance' with one bar per night for Thursday, Friday, Saturday; vertical axis 'Total tickets sold' from 0 to 120, gridlines every 10 (each small square represents 2). Each bar is split into two sections with a key: the child-ticket section sits on top of the adult-ticket section. Thursday: adult section to 40, child section from 40 to 60 (total 60). Friday: adult section to 55, child section from 55 to 90 (total 90). Saturday: adult section to 70, child section from 70 to 100 (total 100).

(a)Work out the number of child tickets sold on Friday.(2)

(b)Write down which performance had the fewest tickets sold in total.(1)

(c)Work out the total number of tickets sold over the three performances.(2)

(Total for Question 9 is 5 marks)

The table shows the type of loaf sold at a bakery one morning.

Type of loaf	White	Brown	Rye	Seeded
Number sold	30	18	8	4

(a)Work out the fraction of loaves sold that were rye. Give your answer in its simplest form.(2)

(b)Write down the ratio of white loaves sold to brown loaves sold, in its simplest form.(1)

(Total for Question 10 is 3 marks)

Here are the number of goals scored by a hockey team in each of 20 matches:
1, 2, 0, 1, 3, 2, 1, 0, 2, 1, 4, 1, 2, 3, 1, 0, 2, 1, 2, 1

(a)Use a tally to complete a frequency table for the number of goals scored (0, 1, 2, 3, 4).(2)

(b)Write down the number of matches in which the team scored fewer than 2 goals.(2)

(Total for Question 11 is 4 marks)

A charity bake sale sold cakes, biscuits, brownies and flapjacks. A bar chart drawn from the sale would show: cakes 24, biscuits 16, and flapjacks 10. The organiser said that 70 items were sold in total. Show that the number of brownies sold was 20.

(Total for Question 12 is 3 marks)

A pupil drew a bar chart to show the number of pupils choosing four lunch options. Their bar chart has four bars of different WIDTHS: the Pizza bar is twice as wide as the other three bars, even though all four bars are the same height. The vertical axis is correctly scaled and labelled, and the horizontal axis correctly lists the four lunch options in order.

(a)Write down one mistake in how the pupil has drawn their bar chart.(1)

(b)Explain why this mistake could mislead someone reading the chart.(2)

(Total for Question 13 is 3 marks)

32 pupils were asked to name their favourite ice lolly flavour, to be shown on a bar chart. Lemon was chosen by 9 pupils, Cola by 7 pupils and Blackcurrant by 5 pupils. Every other pupil chose Orange.

(a)Work out the number of pupils who chose Orange as their favourite flavour.(3)

(b)Write down the mode of the favourite flavours.(1)

(Total for Question 14 is 4 marks)

The frequency table shows the number of books read last month by each of the 25 pupils taking part in a school reading challenge. This data could be shown on a vertical line chart.

Books read	0	1	2	3	4
Frequency	2	6	10	5	2

(a)Work out the mean number of books read per pupil.(3)

(b)The school's target was for pupils to read a mean of at least 2 books each. Work out how many more books, in total, would need to have been read for the mean to reach exactly 2.(2)

(Total for Question 15 is 5 marks)

In a house captain election, 260 votes were cast in total. House Red received 74 votes, House Blue received 68 votes and House Green received 82 votes. Every other vote went to House Yellow.

(a)Work out the number of votes House Yellow received.(3)

(b)Write down the percentage of the total votes received by House Yellow.(1)

(Total for Question 16 is 4 marks)

Two book clubs, each with 20 members, recorded their members' favourite genre. The results are shown in the tables.

Book Club A

Genre	Fiction	Mystery	Fantasy	Non-fiction
Frequency	9	4	5	2

Book Club B

Genre	Fiction	Mystery	Fantasy	Non-fiction
Frequency	5	7	3	5

(a)Write down the modal genre for Book Club A and the modal genre for Book Club B.(2)

(b)By calculating the fraction of each club that preferred Fiction or Fantasy, determine which book club had a greater proportion of members preferring these two genres. Show your working.(3)

(Total for Question 17 is 5 marks)

A phone shop's staff sold the following numbers of phones last week: Priya 34, Tomasz 52, Aisha 29, Callum 61, Erin 45, Noah 38.

Any staff who sold at least 40 phones receive a bonus of GBP20. Any staff who sold at least 60 phones receive a further GBP10 on top of that.

(a)Write down how many staff received a bonus of at least GBP20.(1)

(b)Work out the total amount of money paid out in bonuses to all staff.(2)

(Total for Question 18 is 3 marks)

Mark scheme · 2.15B Bar Charts (Part 2)

Question 1

(a) B1 6 cao
(a) Answer: 6
(b) M1 12 - 3, oe
(b) A1 9 cao
(b) Answer: 9

Question 2

(a) B1 Blue cao
(a) Answer: Blue
(b) M1 7 + 11 + 9 + 5, oe
(b) A1 32 cao
(b) Answer: 32

Question 3

(i) B1 True cao
(i) Answer: True
(ii) B1 False cao
(ii) Answer: False

Question 4

(a) B1 A cao
(a) Answer: A) Sunny
(b) M1 31 - 11, oe (or 13 + 6 + 1)
(b) A1 20 cao
(b) Answer: 20

Question 5

B1 a suitable uniform scale chosen on the frequency axis, starting at 0
B1 all four bars drawn to the correct height: Violin 9, Flute 5, Trumpet 3, Drums 7 (± half a small square)
B1 chart fully labelled, with a title and both axes labelled
Answer: Bar chart with bars of height 9 (Violin), 5 (Flute), 3 (Trumpet), 7 (Drums).

Question 6

(a) B1 35 (kg) cao
(a) Answer: 35 kg
(b) M1 55 + 44, oe
(b) A1 99 (kg) cao
(b) Answer: 99 kg
(c) M1 (42 + 38 + 55) - (35 + 51 + 44), oe (Elm total 135, Oak total 130)
(c) A1 5 (kg) cao
(c) Answer: 5 kg

Question 7

(a) B1 Maths cao
(a) Answer: Maths
(b) M1 16/100 x 100, oe
(b) A1 16% cao
(b) Answer: 16%

Question 8

(a) B1 2 cao
(a) Answer: 2
(b) M1 4 - 0, oe
(b) A1 4 cao
(b) Answer: 4

Question 9

(a) M1 90 - 55, oe
(a) A1 35 cao
(a) Answer: 35
(b) B1 Thursday cao
(b) Answer: Thursday
(c) M1 60 + 90 + 100, oe
(c) A1 250 cao
(c) Answer: 250

Question 10

(a) M1 8/60, oe (total sold = 30+18+8+4 = 60)
(a) A1 2/15 oe
(a) Answer: 2/15
(b) B1 5:3 cao (oe)
(b) Answer: 5:3

Question 11

(a) B1 correct tally marks recorded for each number of goals, matching the data
(a) B1 correct frequencies: 0 goals = 3, 1 goal = 8, 2 goals = 6, 3 goals = 2, 4 goals = 1
(a) Answer: 3, 8, 6, 2, 1
(b) M1 3 + 8, oe (frequencies for 0 and 1 goals identified)
(b) A1 11 cao
(b) Answer: 11

Question 12

M1 24 + 16 + 10, oe (= 50)
dM1 70 - 50 (dependent on the first method mark)
C1 20 shown correctly with full working given, cso
Answer: 20 (shown)

Question 13

(a) B1 the bars should all have the same/equal width (only the height should vary to show frequency), oe
(a) Answer: The bars do not all have the same width (only the height should differ to show frequency).
(b) C1 identifies that a wider bar has a larger AREA even though the frequency (height) may be no different, oe
(b) C1 concludes this could make that category look more important/popular than it really is, oe
(b) Answer: Because the Pizza bar is wider, it takes up more area on the page than the others even though its height (frequency) is not higher, which could make Pizza look more popular than it actually is.

Question 14

(a) M1 9 + 7 + 5, oe (= 21)
(a) dM1 32 - 21 (dependent)
(a) A1 11 cao
(a) Answer: 11
(b) B1 Orange ft (from (a))
(b) Answer: Orange

Question 15

(a) M1 0x2 + 1x6 + 2x10 + 3x5 + 4x2, oe (= 49)
(a) dM1 49 / 25 (dependent)
(a) A1 1.96 cao (oe 49/25)
(a) Answer: 1.96
(b) M1 25 x 2 - 49, oe (= 1)
(b) A1 1 cao
(b) Answer: 1

Question 16

(a) M1 74 + 68 + 82, oe (= 224)
(a) dM1 260 - 224 (dependent)
(a) A1 36 cao
(a) Answer: 36
(b) B1 awrt 13.8%, ft from (a) (36/260 x 100)
(b) Answer: 13.8% (awrt)

Question 17

(a) B1 Book Club A modal genre = Fiction
(a) B1 Book Club B modal genre = Mystery
(a) Answer: A: Fiction, B: Mystery
(b) M1 Club A: (9 + 5)/20, oe (= 14/20 = 0.7 = 70%)
(b) M1 Club B: (5 + 3)/20, oe (= 8/20 = 0.4 = 40%)
(b) C1 correct conclusion with both proportions compared: Book Club A has the greater proportion (70% > 40%), oe
(b) Answer: Book Club A (70% vs 40% for Book Club B).