Mr Osei asked the pupils in his class which pet they owned. The pictogram shows the results.
(a)Write down the number of pupils who own a fish.(1)
(b)Write down which pet is the least popular.(1)
(c)Work out how many more pupils own a dog than own a rabbit.(2)
(Total for Question 1 is 4 marks)
2
Sofia kept a weather diary. The pictogram shows the number of rainy days she recorded in each of four weeks.
(a)Write down the number of rainy days in Week 3.(1)
(b)Write down which week had the most rainy days.(1)
(c)Work out the total number of rainy days over the four weeks.(2)
(Total for Question 2 is 4 marks)
3
A survey asked pupils in Year 7 to name their favourite fruit. The pictogram shows the results.
(a)Write down the number of pupils whose favourite fruit is grape.(1)
(b)Write down the modal fruit (the fruit chosen by the most pupils).(1)
(c)Work out the total number of pupils who took part in the survey.(2)
(Total for Question 3 is 4 marks)
4
A van sells ice creams at a seaside town. The pictogram shows the number sold on each of five days.
(a)Write down the key used for this pictogram.(1)
(b)Work out the number of ice creams sold on Thursday.(1)
(c)Work out the total number of ice creams sold from Monday to Friday.(3)
(Total for Question 4 is 5 marks)
5
The manager of Riverside Car Park recorded the number of cars parked at four different times of day. The pictogram shows the results.
(a)Write down the number of cars parked at 6pm.(1)
(b)Work out the number of cars parked at 9am.(2)
(c)Work out how many more cars were parked at 12pm than at 6pm.(2)
(Total for Question 5 is 5 marks)
6
Four schools took part in a tree-planting scheme. The table shows the number of trees planted by each school. A pictogram is to be drawn using the key: 1 tree symbol = 10 trees.
(a)Write down how many symbols should be drawn to represent School A.(1)
(b)Write down how many symbols should be drawn to represent School B.(1)
(c)Write down how many symbols should be drawn to represent School D.(1)
(d)School C planted 60 trees. Explain why it is easier to draw an accurate pictogram symbol for School C than for School B.(1)
(Total for Question 6 is 4 marks)
7
Four pupils recorded how many books they read over the summer holiday. The pictogram shows the results.
(a)Write down the number of books read by Kwame.(1)
(b)Work out the number of books read by Grace.(2)
(c)Work out the total number of books read by all four pupils.(2)
(Total for Question 7 is 5 marks)
8
A museum recorded the number of visitors on four days. The pictogram shows the results.
(a)Write down the number of visitors on Monday.(1)
(b)Work out how many more visitors came on Saturday than on Tuesday.(2)
(c)Work out the total number of visitors over the four days.(2)
(Total for Question 8 is 5 marks)
9
A pictogram shows the number of match-day programmes sold at a football ground over several games, but the key is missing. At Game 1, 6 symbols are shown, and this represents 60 programmes sold.
(a)Work out the key for this pictogram (the number of programmes represented by 1 symbol).(2)
(b)Use your key to work out the number of programmes sold at Game 2.(2)
(Total for Question 9 is 4 marks)
10
A table shows how pupils travel to school. A pictogram is to be drawn using the key: 1 symbol = 3 pupils.
(a)Write down how many symbols should be used to represent Cycle.(1)
(b)Write down how many symbols should be used to represent Car.(1)
(c)A pupil says: 'Since 24 pupils walk to school, I need to draw exactly 24 symbols for Walk.' Explain why the pupil is wrong.(1)
(Total for Question 10 is 3 marks)
11
A survey of pupils' usual method of travel to school produced the pictogram below.
(a)Work out the number of pupils who cycle to school.(2)
(b)Work out the total number of pupils in the survey.(3)
(Total for Question 11 is 5 marks)
12
The pictogram shows the number of rainy days recorded each month for four months.
(a)Write down the number of rainy days in April.(1)
(b)Write down the number of rainy days in February.(1)
(c)Work out how many more rainy days there were in January than in March.(2)
(Total for Question 12 is 4 marks)
13
Two schools collected recycling bags over three days. The pictograms below use different keys.
(a)Work out the total number of bags collected by School A over the three days.(2)
(b)Work out the total number of bags collected by School B over the three days.(2)
(c)State, with a reason, which school collected more bags of recycling in total.(2)
(Total for Question 13 is 6 marks)
14
A library app pictogram shows the number of e-books downloaded each day for five days, but the key is missing. Mon: 2 symbols. Tue: 4 symbols. Wed: 3 symbols. Thu: 1 symbol. Fri: 2 symbols. The total number of downloads over the five days was 180.
(a)Work out the number of downloads represented by 1 symbol.(2)
(b)Work out the number of downloads on Wednesday.(2)
(c)Work out the number of downloads on Thursday.(1)
(Total for Question 14 is 5 marks)
15
A theatre sold tickets for a concert over four nights. The pictogram key is 1 symbol = 5 tickets. Night 1: 4 symbols. Night 2: 6 symbols. Night 3: 5 symbols. Night 4 is not yet drawn on the pictogram. The total number of tickets sold over all four nights was 130.
(a)Work out the number of tickets sold on Night 4.(3)
(b)Work out how many symbols (including any half symbol) should be drawn to represent Night 4 on the pictogram.(2)
(Total for Question 15 is 5 marks)
16
A weather station recorded the number of hours of sunshine on three days. The pictogram shows the results, with symbols split into quarters.
(a)Write down the number of hours of sunshine on Day 3.(1)
(b)Work out the number of hours of sunshine on Day 1.(2)
(c)Work out the total number of hours of sunshine over the three days.(2)
(Total for Question 16 is 5 marks)
17
A pictogram shows the favourite sport of pupils in Year 9, using the key 1 symbol = 6 pupils. Football: 5 symbols. Netball: 3 symbols. Tennis: 2 symbols.
(a)Work out the ratio of pupils who chose Football to pupils who chose Tennis. Give your ratio in its simplest form.(3)
(b)Work out the percentage of pupils in the survey whose favourite sport is Netball.(3)
(Total for Question 17 is 6 marks)
18
A pictogram is drawn using the key: 1 symbol = 10 pupils. Explain why this pictogram would not be able to show accurately that exactly 23 pupils walk to school.
(Total for Question 18 is 2 marks)
Mark scheme · 1.13 Pictograms
Question 1
(a) B1 2 cao
(a) Answer: 2
(b) B1 Fish cao
(b) Answer: Fish
(c) M1 6 - 3 oe
(c) A1 3 cao
(c) Answer: 3
Question 2
(a) B1 1 cao
(a) Answer: 1
(b) B1 Week 1 cao
(b) Answer: Week 1
(c) M1 5 + 3 + 1 + 4 oe
(c) A1 13 cao
(c) Answer: 13
Question 3
(a) B1 1 cao
(a) Answer: 1
(b) B1 Apple cao
(b) Answer: Apple
(c) M1 7 + 5 + 3 + 1 oe
(c) A1 16 cao
(c) Answer: 16
Question 4
(a) B1 1 symbol = 2 ice creams cao
(a) Answer: 1 symbol = 2 ice creams
(b) B1 12 cao
(b) Answer: 12
(c) M1 5 + 3 + 4 + 6 + 7 (= 25 symbols) oe
(c) M1 25 x 2 (ft their symbol total)
(c) A1 50 cao
(c) Answer: 50
Question 5
(a) B1 20 cao
(a) Answer: 20
(b) M1 3.5 x 10 oe
(b) A1 35 cao
(b) Answer: 35
(c) M1 50 - 20 oe, with 50 and 20 correctly read from the pictogram
(c) A1 30 cao
(c) Answer: 30
Question 6
(a) B1 4 (symbols) cao
(a) Answer: 4 symbols
(b) B1 2 and a half (symbols) cao, oe 2.5
(b) Answer: 2.5 symbols
(c) B1 1 and a half (symbols) cao, oe 1.5
(c) Answer: 1.5 symbols
(d) B1 correct explanation that 60 is an exact multiple of the key (10), giving a whole number of symbols, whereas 25 is not, so a part symbol is needed, oe
(d) Answer: 60 is an exact multiple of 10 (the key), so School C needs a whole number of symbols (6); 25 is not an exact multiple of 10, so School B needs a part symbol (a half), which is harder to draw accurately.
(b) M1 40 - 15 oe, with 40 and 15 correctly read from the pictogram
(b) A1 25 cao
(b) Answer: 25
(c) M1 8 + 6 + 2 + 3 (= 19 symbols) oe
(c) A1 95 cao
(c) Answer: 95
Question 9
(a) M1 60 / 6 oe
(a) A1 10 (programmes) cao
(a) Answer: 1 symbol = 10 programmes
(b) M1 4.5 x their key from (a)
(b) A1 45 cao (ft their key)
(b) Answer: 45
Question 10
(a) B1 3 (symbols) cao
(a) Answer: 3 symbols
(b) B1 2 (symbols) cao
(b) Answer: 2 symbols
(c) B1 correct explanation that each symbol represents 3 pupils (the key), not 1 pupil, so only 8 symbols are needed (24 / 3 = 8), oe
(c) Answer: Each symbol represents 3 pupils, not 1, so only 8 symbols are needed (24 / 3 = 8), not 24 symbols.
Question 11
(a) M1 2.5 x 4 oe
(a) A1 10 cao
(a) Answer: 10
(b) M1 5 + 2.5 + 3 + 1.5 (= 12 symbols) oe
(b) M1 12 x 4 (ft their symbol total)
(b) A1 48 cao
(b) Answer: 48
Question 12
(a) B1 9 cao
(a) Answer: 9
(b) B1 18 cao
(b) Answer: 18
(c) M1 27 - 15 oe, with 27 and 15 correctly read from the pictogram
(c) A1 12 cao
(c) Answer: 12
Question 13
(a) M1 3 + 2.5 + 4 (= 9.5 symbols), x 20, oe
(a) A1 190 cao
(a) Answer: 190
(b) M1 4 + 3 + 5 (= 12 symbols), x 15, oe
(b) A1 180 cao
(b) Answer: 180
(c) B1 School A stated (ft their totals from (a) and (b))
(c) B1 correct reason comparing the two totals, e.g. 190 bags is more than 180 bags, oe (ft)
(c) Answer: School A, because they collected 190 bags compared to School B's 180 bags.
Question 14
(a) M1 180 / (2+4+3+1+2), i.e. 180 / 12, oe
(a) A1 15 cao
(a) Answer: 1 symbol = 15 downloads
(b) M1 3 x their key from (a)
(b) A1 45 cao (ft their key)
(b) Answer: 45
(c) B1 15 cao (ft their key)
(c) Answer: 15
Question 15
(a) M1 (4 + 6 + 5) x 5, i.e. 15 x 5 = 75, oe
(a) M1 130 - 75 (ft their 75)
(a) A1 55 cao
(a) Answer: 55
(b) M1 55 / 5 (ft their answer to (a))
(b) A1 11 (symbols) cao
(b) Answer: 11 symbols
Question 16
(a) B1 32 cao
(a) Answer: 32
(b) M1 3.25 x 8 oe
(b) A1 26 cao
(b) Answer: 26
(c) M1 3.25 + 2.75 + 4 (= 10 symbols), x 8, oe, or 26 + 22 + 32
(c) A1 80 cao
(c) Answer: 80
Question 17
(a) M1 Football = 30, Tennis = 12, ratio 30:12 oe
(a) M1 dividing both parts by their highest common factor, 6
(a) A1 5:2 cao
(a) Answer: 5:2
(b) M1 total pupils = (5+3+2) x 6 = 60 oe
(b) M1 18 / 60 x 100 (ft their total)
(b) A1 30% cao
(b) Answer: 30%
Question 18
B1 identifies that 23 is not a multiple of the key value 10, oe
B1 explains the consequence, e.g. a symbol worth 3/10 of the key would need to be drawn, which cannot be shown clearly/accurately as a simple fraction (unlike a half or quarter), so the value 23 cannot be represented exactly, oe
Answer: 23 is not a multiple of 10, so 23 / 10 = 2.3 symbols would be needed. This is not a simple fraction like a half or a quarter of a symbol, so it cannot be drawn clearly or accurately on the pictogram; the value would have to be rounded, losing accuracy.