GRAPHS AND STATISTICS

Venn Diagrams

Learn the reliable method for venn diagrams, then apply it to 11+ exam-style questions.

1 · WHAT YOU NEED TO KNOW

The idea

Venn Diagrams questions test how accurately you read, summarise and compare data.

Picture itPlace items inside the correct sets
2 · THE METHOD

Follow these steps

  1. Read the title, labels, key and scale.
  2. Extract only the values needed.
  3. Apply the correct statistic or comparison and check the unit.
3 · WORKED EXAMPLES

See the method in action

Example 1

How many pupils play the recorder, including pupils who also play another instrument?

23 pupils play at least one instrumentPianoViolinRecorder562321?
  1. The regions outside Recorder contain 5 + 6 + 2 = 13 pupils.
  2. Therefore 23 - 13 = 10 pupils are in the Recorder circle.
Answer: 10
Example 2

How many pupils are in the class altogether?

ChessMusic645Neither 2
  1. Add each disjoint region once: 6 + 4 + 5 + 2 = 17.
Answer: 17
4 · ELEVENSPRINT TIP

A useful shortcut

Read the scale before reading any bar, point or symbol.

5 · COMMON MISTAKES

Watch out for these

Counting symbols instead of using the key

Multiply the number of symbols, including partial symbols, by the key value.

6 · TRY IT YOURSELF

Three fresh questions

Ready to check the method? You will get three fresh, validated questions.