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KS3 Maths · Year 7 · Chapter 9: Interpreting data · Lesson 1

Interpreting graphs and diagrams

Year 7About 70 minutesNo calculator45 marks
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Date
A

Do Now

Quick questions to start.

  1. A1
    Needed today

    Work out of .

    [1 mark]
    Answer
  2. A2
    Needed today

    Write out of as a percentage.

    [1 mark]
    Answer
  3. A3
    Last lesson

    Work out . Give your answer in standard form.

    [1 mark]
    Answer
  4. A4
    From chapter 4

    A price goes up from £40 to £50. Work out the percentage increase.

    [1 mark]
    Answer
B

Example, then your turn

Year 7

Your teacher works through each example with you. Then try the one beside it.

Example 1

A charity spent £. The pie chart shows how.

(a) How much was spent on staff?
(b) Lee says, "Most of the money went on projects." Is he right?

Projects 45%Staff 30%Adverts 15%Other 10%
Hint A percentage of the total gives the amount. "Most" means more than half, so more than .
  1. B1

    A school spent £. The pie chart shows how.

    (a) How much was spent on trips?
    (b) Was most of the money spent on teaching? Give a reason.

    [4 marks]
    Teaching 55%Repairs 20%Trips 15%Other 10%
    Answer
Example 2

Waiting times at a clinic. – means up to minutes.

(a) How many people waited?
(b) Which class holds the median time?
(c) Sam says, "Someone waited minutes." Could he be right?

04812010203040Number of peopleTime (minutes)
Hint Add the bar heights. The median is the middle person: count along the bars.
  1. B2

    Heights of some plants. – means up to cm.

    (a) How many plants are there?
    (b) Which class holds the median height?
    (c) Tia says, "The tallest is cm." Why is she wrong?

    [3 marks]
    051005101520Number of plantsHeight (cm)
    Answer(a) (b) (c)
Example 3

Visitors to four parks, in thousands. A headline says, "Fewer people visit our parks." Use the table to criticise it.

Park20222024North340295South410388East205312West145180
Hint Look at each park, then at the totals.
  1. B3

    Customers in one week at four shops.

    (a) Which shop had more customers in ?
    (b) Which shop fell the most, and by how many?
    (c) By how much did the total fall?

    [4 marks]
    Shop20232024A260245B180150C315330D9580
    Answer(a) (b) (c)
C

Practice

Year 7
  1. C1

    A bag of sweets is Red , Blue , Yellow and the rest Green.

    (a) Find the Green percentage and its angle in a pie chart.
    (b) There are sweets. How many are Green?

    [3 marks]
    Answer(a) , (b)
  2. C2

    A club says, "We now have six times as many members!"

    (a) Why is its chart misleading?
    (b) Work out the real percentage increase.

    [3 marks]
    38042046050020232024Members
    Answer(a) (b)
  1. C3

    A news pie chart says Bus , Car , Walk .

    (a) Why must this be wrong?
    (b) Bus is right; Car and Walk are equal. Find Car.

    [2 marks]
    Answer(a) (b)
D

Exam-style questions

GCSE Foundation
  1. D1

    pupils chose their favourite fruit. The pie chart shows the angle of each sector.

    Apple 100°Banana 80°Orange 60°Grapes 120°
    (a)

    How many pupils chose apple?

    [2 marks]
    Answer
    (b)

    How many more pupils chose grapes than orange?

    [2 marks]
    Answer
    Total for D1: 4 marks
  1. D2

    Mo says, "More pupils walk to Hill School than to Vale School, because the walk sector is bigger."

    The pie charts show how pupils travel to two schools. Is Mo right? You must show your working.

    [4 marks]
    Walk135°Hill School (240 pupils)Walk60°Vale School (720 pupils)
    Answer
  2. D3

    The bar chart shows the marks some pupils scored in a test.

    04812160–1011–2021–3031–40Number of pupils
    (a)

    How many pupils took the test?

    [1 mark]
    Answer
    (b)

    Ria says, "The median mark is in the – class." Explain why Ria is wrong.

    [2 marks]
    Answer
    (c)

    What percentage of the pupils scored more than marks?

    [2 marks]
    Answer
    Total for D3: 5 marks
  3. D4

    Asha walked to a shop, stayed there, then walked home. The graph shows her journey.

    01020304050601234Time (minutes)Distance from home (km)
    (a)

    How long did Asha stay at the shop? How far did she walk altogether?

    [2 marks]
    Answer minutes, km
    (b)

    Work out Asha's speed on the way home, in kilometres per hour.

    [2 marks]
    Answer
    Total for D4: 4 marks
E

Extension

Stretch

No route is given. The hints are at the end of the sheet. Use one at a time.

  1. E1

    people were asked how they travel to work. They travel by bus, car, bike or on foot. In the pie chart, the car angle is twice the bus angle, the walk angle is more than the bus angle, and people cycle. How many people travel by car?

    [5 marks]
    Hint 1 · What to try

    Each person is . So the bike sector is .

    Hint 2 · The first line

    Call the bus angle . Then car is and walk is . All four angles add to .

    Hint 3 · The full method

    , so and . Car is , which is people.

    Answer
F

How did it go?

Colour one circle on each line.
Not yetNearlyYes
I can read amounts from a pie chart and work out its angles.
I can read a bar chart, a table and a line graph from the media.
I can say why a chart or a claim about it is misleading.
I can compare two pie charts with different totals.

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