ASCENTLEARNING
Join a weekly class
Skip to learning content
YEAR 4 · STATISTICS · 12 MIN

Scaled pictographs/column graphs

Read a pictograph key or column-graph scale before finding a value.

In this lesson

Before you start
  • Counting in equal groups
  • Reading tables
01 / LEARN

Understand the idea.

Read the key first

In a pictograph, the pictures stand for amounts. Read the key before counting: one circle here represents 2 votes. Count the pictures, then multiply by the number of votes represented by each picture.

For example, four circles represent four equal groups of 2 votes: 4×2=8. The number of pictures and the number of votes are different because the key groups the votes in twos.

Pictograph titled Practice survey: fruit choices. The key states that one circle means two votes. Equal circles are aligned in rows: Apple has four circles, Banana has three and Pear has two. Vote totals are not added as labels.

Read an axis scale

On a column graph, a column’s height shows the count. Read the title and category first, then trace from the column’s top to the numbered axis. Each equal interval on this fruit graph represents 2 votes.

The scale starts at zero, so count upwards as 0, 2, 4, 6, 8. When comparing categories, subtract their vote counts rather than counting the printed labels or judging the coloured areas.

Column graph headed Favourite fruit, practice data. Apple has eight votes, Banana six and Pear four. The vertical Votes scale starts at zero and increases in steps of two to ten. Equal-width columns and equal gaps represent the three fruit choices.
02 / WORKED EXAMPLES

See the method in action.

EXAMPLE 01

Scaled pictures

A pictograph row has 3 circles. The key says one circle means 2 votes. How many votes does the row show?

Worked solution

  1. 1

    Read the pictograph key.

    1 circle=2 votes

    The key tells how many votes each picture represents.

  2. 2

    Count three equal groups of two.

    2+2+2=6

    There are three circles, each worth two votes.

  3. 3

    Write the represented amount.

    3×2=6 votes

    The answer is a number of votes, rather than a number of pictures.

Answer

6 votes.

EXAMPLE 02

Compare columns

Using the fruit graph, how many more votes did Apple receive than Pear?

Column graph headed Favourite fruit, practice data. Apple has eight votes, Banana six and Pear four. The vertical Votes scale starts at zero and increases in steps of two to ten. Equal-width columns and equal gaps represent the three fruit choices.

Worked solution

  1. 1

    Read Apple’s height on the scale.

    Apple: 8 votes

    The top of the Apple column reaches the value 8.

  2. 2

    Read Pear’s height on the same scale.

    Pear: 4 votes

    Using the same scale makes the counts directly comparable.

  3. 3

    Find how many more Apple received.

    8−4=4 votes

    Subtracting the smaller count from the larger finds the difference.

Answer

4 more votes.

03 / YOUR TURN

Try it yourself.

Check your understanding

A key says one star represents 5 books. What do 4 stars represent?

Show answer & reasoning

20 books.

Each of the four stars represents 5 books, so 4×5=20 books altogether.

Keep practising

6 worksheet questions · 8 marks

Read the questions online
  1. A pictograph key says one circle represents 3 votes. What do 4 circles represent?
    1 mark
  2. A key says one square represents 2 trees. How many squares show 10 trees?
    1 mark
  3. Read the number of Banana votes from the supplied graph.
    1 mark
    Column graph headed Favourite fruit, practice data. Apple has eight votes, Banana six and Pear four. The vertical Votes scale starts at zero and increases in steps of two to ten. Equal-width columns and equal gaps represent the three fruit choices.
  4. Find the total fruit votes in the supplied table.
    1 mark
    Practice survey: favourite fruit
    FruitVotes
    Apple8
    Banana6
    Pear4
  5. A key says one symbol means 4 people. What does half a symbol mean?
    2 marks
  6. A graph scale is labelled 0, 2, 4, 6, 8. A column ends halfway between 6 and 8. What value does it show?
    2 marks
Read the worked solutions

Equivalent correct methods earn the corresponding marks. Include units where asked.

  1. A pictograph key says one circle represents 3 votes. What do 4 circles represent?
    1 mark

    4×3=12.

    12 votes.
  2. A key says one square represents 2 trees. How many squares show 10 trees?
    1 mark

    10 divided by 2 is 5.

    5 squares.
  3. Read the number of Banana votes from the supplied graph.
    1 mark
    Column graph headed Favourite fruit, practice data. Apple has eight votes, Banana six and Pear four. The vertical Votes scale starts at zero and increases in steps of two to ten. Equal-width columns and equal gaps represent the three fruit choices.

    Trace from the Banana column top to 6 on the vertical scale.

    6 votes.
  4. Find the total fruit votes in the supplied table.
    1 mark
    Practice survey: favourite fruit
    FruitVotes
    Apple8
    Banana6
    Pear4

    8+6+4=18.

    18 votes.
  5. A key says one symbol means 4 people. What does half a symbol mean?
    2 marks

    Half of 4 is 2.

    2 people.
  6. A graph scale is labelled 0, 2, 4, 6, 8. A column ends halfway between 6 and 8. What value does it show?
    2 marks

    The halfway value is one above 6.

    7.
Checking saved progress…
Curriculum reference & lesson scope

Australian Curriculum v9 / SA Curriculum Mathematics 2026

Scaled pictographs/column graphs; data collection; suitable displays; distributions; survey investigations.

Official curriculum source ↗

Save your next step.

Create a free account to save your learning progress. Lessons and downloads stay free, with or without an account.

Create free account