Pictograms (Part 2) - Worksheets, Questions and Revision

18 original exam-style questions - 10 pages of questions with a full mark scheme - free printable PDF.

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1.13B Pictograms (Part 2)

EDEXCEL 1MA1 · Calculator allowed · about 75 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

A pictogram shows the number of pupils who chose each activity for a school trip day, using the key 1 symbol = 1 pupil. Alton Towers: 5 symbols. London Zoo: 3 symbols. Warwick Castle: 2 symbols. Chessington: 6 symbols.

(a)Write down the number of pupils who chose Warwick Castle.(1)

(b)List the four activities in order of popularity, starting with the most popular.(2)

(c)Work out the total number of pupils who took part in the survey.(2)

(Total for Question 1 is 5 marks)

A pictogram shows the number of people who chose each snack at a school fair stall, using the key 1 symbol = 1 person. Crisps: 8 symbols. Fruit: 4 symbols. Sandwich: 6 symbols. Yoghurt: 2 symbols.

(a)Write down the number of people who chose fruit.(1)

(b)Work out the range of the number of people choosing each snack.(2)

(c)Work out the fraction of people who chose crisps, giving your answer in its simplest form.(2)

(Total for Question 2 is 5 marks)

A pictogram shows the flavour of ice lolly chosen by children at a summer camp, using the key 1 symbol = 1 child. Strawberry: 6 symbols. Lime: 3 symbols. Orange: 5 symbols. Cola: 4 symbols.

(a)Write down the number of children who chose lime.(1)

(b)Write down the most popular flavour.(1)

(c)Work out the fraction of children who chose a fruit-flavoured lolly (strawberry, lime or orange), giving your answer in its simplest form.(2)

(Total for Question 3 is 4 marks)

A cinema kiosk pictogram uses the key 1 symbol = 4 buckets of popcorn. Monday: 3 symbols. Tuesday: 4 and a half symbols. Wednesday: 6 symbols. Show that the total number of buckets of popcorn sold over the three days is 54.

(Total for Question 4 is 3 marks)

A pictogram shows the number of late buses recorded at a bus depot over five weekdays, using the key 1 symbol = 2 late buses. Monday: 3 symbols. Tuesday: 2 symbols. Wednesday: 4 symbols. Thursday: 1 symbol. Friday: 5 symbols.

(a)Work out the number of late buses on Thursday.(1)

(b)Work out the total number of late buses over the five weekdays.(2)

(c)Work out the mean number of late buses per weekday.(2)

(Total for Question 5 is 5 marks)

A charity bake sale recorded these sales: Victoria sponge 20, Lemon drizzle 10, Brownies 25, Flapjack 5. Nadia wants to show this data as a pictogram using the key 1 symbol = 2 cakes. Explain why this key is a poor choice for this data, and suggest a better key, giving a reason for your choice.

(Total for Question 6 is 3 marks)

A pictogram is to be drawn showing raffle tickets sold by three tutor groups, using the key 1 symbol = 9 tickets (so a third-symbol = 3 tickets and a two-thirds-symbol = 6 tickets). 7Q sold 27 tickets. 7R sold 15 tickets. 7S sold 21 tickets.

(a)Write down how many symbols should be drawn to represent 7Q.(1)

(b)Work out how many symbols (including any thirds) should be drawn to represent 7R.(2)

(c)Work out how many symbols (including any thirds) should be drawn to represent 7S.(2)

(Total for Question 7 is 5 marks)

A sponsored fun run pictogram shows the money collected by four houses, but the key is missing. Oak: 5 symbols. Birch: 3 symbols. Willow: 2 symbols. Elm: 6 symbols. Together the four houses raised 800 pounds.

(a)Work out the amount of money represented by 1 symbol.(2)

(b)Use your key to work out how much money Birch house raised.(1)

(c)Work out how many more pounds Elm house raised than Willow house raised.(2)

(Total for Question 8 is 5 marks)

A garden centre recorded the number of packets of seeds sold in Spring and in Summer, using separate pictograms with the same key: 1 symbol = 10 packets. Spring: 6 symbols. Summer: 9 symbols.

(a)Work out the number of packets sold in Spring.(1)

(b)Work out the number of packets sold in Summer.(1)

(c)Work out the percentage increase from Spring to Summer.(3)

(Total for Question 9 is 5 marks)

At a charity shop, donated items were recorded on a pictogram using the key 1 symbol = 5 items. The Toys row has 4 symbols. Priya says, 'The pictogram shows that 4 toys were donated.' Explain why Priya is incorrect, and state the correct number of toys donated.

(Total for Question 10 is 2 marks)

A pictogram shows the number of allotment plots growing different vegetables, using the key 1 symbol = 1 plot. Potatoes: 12 symbols. Carrots: 4 symbols. Beetroot: 3 symbols. Onions: 8 symbols.

(a)Write down the number of plots growing onions.(1)

(b)Work out how many times as many plots grew potatoes as grew beetroot.(2)

(c)Work out the total number of plots recorded.(2)

(Total for Question 11 is 5 marks)

A pictogram shows how members travel to a youth club, using the key 1 symbol = 4 members. Walk: 5 symbols. Bike: 2 symbols. Bus: 3 symbols. The pictogram does not show a row for Car, but 6 more members travel by car than by bike.

(a)Work out the number of members who walk to the youth club.(1)

(b)Work out the number of members who travel by car.(2)

(c)Work out the total number of members recorded, including those who travel by car.(2)

(d)Work out what percentage of the total members travel by bus.(2)

(Total for Question 12 is 7 marks)

A pictogram shows the number of cacti sold at a pop-up plant stall over four weeks, using the key 1 symbol = 5 cacti. Week 1: 2 symbols. Week 2: 3 symbols. Week 3: 4 symbols. Week 4: 5 symbols.

(a)Write down the number of cacti sold in Week 3.(1)

(b)Describe the trend in the number of cacti sold over the four weeks.(1)

(c)Assuming the trend continues, suggest the number of cacti that will be sold in Week 5. State the assumption you have made.(2)

(Total for Question 13 is 4 marks)

A pictogram shows the mass of recycling collected on a housing estate, using the key 1 symbol = 8 kg. Paper: 5 symbols. Glass: 3 symbols. Plastic: 2 symbols. Food waste: 6 symbols.

(a)Work out the total mass of recycling collected.(2)

(b)Work out the percentage of the total recycling that was food waste.(2)

(c)Work out the percentage of the total recycling that was either paper or glass.(2)

(Total for Question 14 is 6 marks)

A pictogram shows attendance at a football club's home matches, using the key 1 symbol = 100 spectators, with a quarter symbol representing 25. Match 1: 4 and a quarter symbols. Match 2: 3 and a half symbols. Match 3: 5 symbols. Match 4: 2 and three-quarter symbols. Match 5: 6 symbols.

(a)Write down the attendance at Match 3.(1)

(b)Work out the attendance at Match 4.(1)

(c)By rounding each match's attendance to the nearest 100, estimate the total attendance across the five matches.(3)

(d)Write down which match had the highest attendance.(1)

(Total for Question 15 is 6 marks)

The pictogram shows the number of Year 11 students choosing each post-16 pathway, using the key 1 symbol = 4 students. It was drawn by a pupil who intended the Apprenticeship row to represent 14 students, but has drawn 3 whole symbols plus one small quarter-symbol instead.

Figure (to be drawn): Pictogram - Post-16 pathway choices, drawn by a pupil with a mistake. Key: 1 symbol = 4 students, with a half-symbol = 2 students and a quarter-symbol = 1 student. Sixth form: 5 symbols. College: 3 symbols. Apprenticeship: drawn as 3 whole symbols plus one small quarter-symbol (the pupil intended to show 14 students). Employment: 2 symbols.

(a)Using the key, work out how many symbols (including any half symbol) should have been drawn to correctly represent 14 students choosing Apprenticeship.(2)

(b)The pupil drew 3 whole symbols plus a quarter-symbol instead. Explain the pupil's mistake, and state how many students this incorrect drawing actually represents.(2)

(c)Using the correct value of 14 for Apprenticeship, work out the total number of students represented across all four pathways.(2)

(Total for Question 16 is 6 marks)

A running club recorded members' preferred distance on a pictogram, using the key 1 symbol = 6 members. 5k: 4 symbols. 10k: 3 symbols. Half marathon: 1 symbol. Work out the ratio of members who prefer 5k to members who prefer 10k to members who prefer a half marathon. Give your ratio in its simplest form.

(Total for Question 17 is 3 marks)

A pictogram uses the key 1 symbol = 6 people, with only whole, half and quarter symbols allowed. Explain why this pictogram could not show exactly that 16 people chose a particular activity.

(Total for Question 18 is 2 marks)

Mark scheme · 1.13B Pictograms (Part 2)

Question 1

(a) B1 2 cao
(a) Answer: 2
(b) M1 at least three activities correctly placed relative to each other oe
(b) A1 Chessington, Alton Towers, London Zoo, Warwick Castle cao
(b) Answer: Chessington, Alton Towers, London Zoo, Warwick Castle
(c) M1 5 + 3 + 2 + 6 oe
(c) A1 16 cao
(c) Answer: 16

Question 2

(a) B1 4 cao
(a) Answer: 4
(b) M1 8 - 2 oe
(b) A1 6 cao
(b) Answer: 6
(c) M1 8 out of a total of 20 identified, e.g. 8/20 oe
(c) A1 2/5 cao
(c) Answer: 2/5

Question 3

(a) B1 3 cao
(a) Answer: 3
(b) B1 Strawberry cao
(b) Answer: Strawberry
(c) M1 6 + 3 + 5 = 14 out of a total of 18 identified, e.g. 14/18 oe
(c) A1 7/9 cao
(c) Answer: 7/9

Question 4

M1 3 x 4 = 12 and 6 x 4 = 24 (the two whole-symbol days) oe
M1 4.5 x 4 = 18 (the half-symbol day) oe
A1 12 + 18 + 24 = 54, cso
Answer: 54 (shown).

Question 5

(a) B1 2 cao
(a) Answer: 2
(b) M1 6 + 4 + 8 + 2 + 10 oe
(b) A1 30 cao
(b) Answer: 30
(c) M1 their total (30) / 5 oe, ft
(c) A1 6 cao
(c) Answer: 6

Question 6

B1 identifies a genuine problem with key = 2, e.g. Brownies would need 12.5 symbols (too many to draw clearly, and needing a half symbol), and Flapjack would also need a half symbol (2.5) oe
B1 suggests a valid alternative key with a reason, e.g. 1 symbol = 5 cakes because it gives a whole number of symbols for every type oe
B1 correctly recomputes at least two symbol counts under the suggested key, e.g. Victoria sponge 4 and Brownies 5 oe
Answer: The key of 1 symbol = 2 cakes is a poor choice because Brownies (25 cakes) would need 12.5 symbols, far too many to draw clearly, and Flapjack would also need a half symbol (2.5 symbols). A better key is 1 symbol = 5 cakes, which gives a whole number of symbols for every type: Victoria sponge 4, Lemon drizzle 2, Brownies 5, Flapjack 1.

Question 7

(a) B1 3 symbols cao
(a) Answer: 3 symbols
(b) M1 15 / 9 oe, e.g. 9 + 6 identified
(b) A1 1 and two-thirds symbols cao
(b) Answer: 1 and two-thirds symbols
(c) M1 21 / 9 oe, e.g. 18 + 3 identified
(c) A1 2 and one-third symbols cao
(c) Answer: 2 and one-third symbols

Question 8

(a) M1 total symbols = 5 + 3 + 2 + 6 = 16 identified oe
(a) A1 50 pounds cao
(a) Answer: 50 pounds
(b) B1 150 cao, ft their key
(b) Answer: 150 pounds
(c) M1 Elm = 6 x 50 (=300) and Willow = 2 x 50 (=100) both identified, ft their key
(c) A1 200 cao
(c) Answer: 200 pounds

Question 9

(a) B1 60 cao
(a) Answer: 60
(b) B1 90 cao
(b) Answer: 90
(c) M1 90 - 60 = 30 oe, ft
(c) M1 their increase / 60 oe, ft
(c) A1 50% cao
(c) Answer: 50%

Question 10

B1 explains that each symbol represents 5 items, not 1, so the number of symbols must be multiplied by the key oe
B1 20 cao
Answer: Priya is wrong because each symbol represents 5 items (the key), not 1 item. She should multiply the number of symbols by 5. The correct number of toys donated is 4 x 5 = 20.

Question 11

(a) B1 8 cao
(a) Answer: 8
(b) M1 12 / 3 oe
(b) A1 4 cao
(b) Answer: 4
(c) M1 12 + 4 + 3 + 8 oe
(c) A1 27 cao
(c) Answer: 27

Question 12

(a) B1 20 cao
(a) Answer: 20
(b) M1 bike = 2 x 4 = 8 identified, then + 6 oe
(b) A1 14 cao
(b) Answer: 14
(c) M1 20 + 8 + 12 + 14 oe, ft
(c) A1 54 cao
(c) Answer: 54
(d) M1 12 / their total (54) oe, ft
(d) A1 awrt 22.2% cao (accept 22 2/9%)
(d) Answer: 22.2% (awrt)

Question 13

(a) B1 20 cao
(a) Answer: 20
(b) B1 sales increase by the same amount (one symbol, 5 cacti) each week oe
(b) Answer: Sales increase by 5 cacti (one symbol) every week.
(c) M1 extends the pattern by a further 5, e.g. 25 + 5 oe
(c) A1 30, with a valid assumption stated (e.g. sales continue to increase at the same steady rate)
(c) Answer: 30 (assuming sales keep increasing at the same steady rate of 5 cacti per week)

Question 14

(a) M1 40 + 24 + 16 + 48 oe
(a) A1 128 kg cao
(a) Answer: 128 kg
(b) M1 48 / 128 oe, ft their total
(b) A1 37.5% cao
(b) Answer: 37.5%
(c) M1 (40 + 24) / 128 oe, ft their total
(c) A1 50% cao
(c) Answer: 50%

Question 15

(a) B1 500 cao
(a) Answer: 500
(b) B1 275 cao
(b) Answer: 275
(c) M1 rounds each attendance to the nearest 100: 400, 400, 500, 300, 600 oe
(c) M1 sums the rounded values oe
(c) A1 2200 cao
(c) Answer: 2200
(d) B1 Match 5 cao
(d) Answer: Match 5

Question 16

(a) M1 14 / 4 oe
(a) A1 3 and a half symbols cao
(a) Answer: 3 and a half symbols
(b) B1 explains that a half-symbol (not a quarter-symbol) was needed for the remaining 2 students oe
(b) B1 13 cao
(b) Answer: The pupil should have drawn a half-symbol (2 students) for the remaining 2 students, not a quarter-symbol (1 student). As drawn, the row actually represents 3 x 4 + 1 = 13 students.
(c) M1 20 + 12 + 14 + 8 oe
(c) A1 54 cao
(c) Answer: 54

Question 17

M1 24, 18 and 6 found (or the equivalent ratio 24:18:6) oe
M1 divides each part of the ratio by a common factor of 6 oe
A1 4:3:1 cao
Answer: 4:3:1