A pictogram shows 1 symbol = 5 people. If there are 3 symbols, how many people are represented?
Multiply symbols by key.
3 × 5 = 15 people.
Pictograms
Pictograms represent data using symbols or images. Understanding how to interpret them accurately is an important data handling skill.
Overview
A pictogram shows data using pictures or symbols.
Each symbol stands for a number, and the key tells you what each symbol means.
Always read the key first.
In exam questions, the biggest mistake is ignoring the key or forgetting that half a symbol means half the value.
What you should understand after this topic
- Read a pictogram using its key
- Work with half symbols correctly
- Find totals and compare categories
- Answer exam-style pictogram questions
- Avoid the most common mistakes
Key Definitions
Pictogram
A chart that uses pictures or symbols to show data.
Key
The rule that tells you what each symbol is worth.
Symbol
The picture or shape used to represent data.
Half Symbol
Half of a full symbol, so it represents half of the key value.
Category
A group or label in the pictogram, such as apples, books or pets.
Total
The full amount shown for one category after converting all symbols into numbers.
Key Rules
Read the key first
Never count symbols without checking what each symbol is worth.
Multiply carefully
Number of symbols × value of each symbol.
Half symbol means half value
If one symbol = 4, then half a symbol = 2.
Compare totals, not pictures
Always convert the symbols into actual numbers.
Quick Reminder
1 full symbol
Use the full value from the key.
Half symbol
Use half the value from the key.
Several symbols
Add or multiply carefully.
Comparison question
Convert each row into totals first.
How to Solve
Step 1: Understand a pictogram
A pictogram represents data using symbols or pictures.
Exam tip: Always check the key first.
Step 2: Read the key
The key tells you how much each symbol represents.
1 symbol = 4 items
2 symbols = 8
3 symbols = 12
Step 3: Handle part symbols
Sometimes symbols are split into halves or other parts.
If 1 symbol = 4, then half = 2
1.5 symbols = \(4 + 2 = 6\)
Step 4: Convert to numbers
Convert all symbols into actual values before answering questions.
3 symbols
\(3 \times 4 = 12\)
2 symbols
\(2 \times 4 = 8\)
1.5 symbols
\(6\)
Step 5: Answer questions
Once converted, answer like normal data questions.
- Find totals
- Compare categories
- Find differences
- Identify largest or smallest
- After converting the symbols into numbers, you can find totals and compare values just like with averages or other data questions.
Step 6: Common mistakes
Ignoring the key
Counting symbols instead of values.
Missing half symbols
Forgetting to include partial values.
Not converting first
Trying to compare pictures directly.
Decimal answers
Pictograms usually give whole numbers.
Step 7: Exam method summary
See bar charts for another way to display data.
- Read the key.
- Convert symbols into numbers.
- Check for half or partial symbols.
- Answer the question using totals.
Example Questions
Edexcel
Exam-style questions inspired by Edexcel GCSE Mathematics, focusing on reading pictograms and using the key.
Edexcel
The pictogram shows how many books four students read.
Key: 📘 = 2 books
| Student | Books read |
|---|---|
| Amir | 📘 📘 📘 |
| Bella | 📘 📘 |
| Chen | 📘 📘 📘 📘 |
| Dina | 📘 |
How many books did Chen read?
Edexcel
Using the pictogram above, how many more books did Amir read than Bella?
AQA
Exam-style questions based on the AQA GCSE Mathematics specification, focusing on half symbols and comparison.
AQA
The pictogram shows the number of cars sold by a garage.
Key: 🚗 = 4 cars
| Day | Cars sold |
|---|---|
| Monday | 🚗 🚗 |
| Tuesday | 🚗 🚗 🚗 |
| Wednesday | 🚗 🚗 🚗 |
| Thursday | 🚗 🚗 |
How many cars were sold on Tuesday?
AQA
Using the pictogram above, how many cars were sold altogether on Monday and Thursday?
OCR
Exam-style questions aligned with OCR GCSE Mathematics, emphasising interpreting pictograms and explaining the role of the key.
OCR
The pictogram shows how many pets some children have.
Key: 🐾 = 3 pets
| Child | Pets |
|---|---|
| Eva | 🐾 🐾 |
| Finn | 🐾 🐾 🐾 |
| Grace | 🐾 🐾 |
| Hugo | 🐾 🐾 🐾 |
How many pets does Grace have?
OCR
Explain why the key is needed when reading a pictogram.
Exam Checklist
Step 1
Read the key carefully before doing anything else.
Step 2
Count full symbols and half symbols correctly.
Step 3
Convert each row into an actual number.
Step 4
Only then answer totals or comparison questions.
Most common exam mistakes
Key mistake
Using the wrong value for each symbol.
Half-symbol mistake
Forgetting to halve the key value.
Comparison mistake
Comparing rows by number of pictures instead of totals.
Total mistake
Adding symbols directly instead of converting them into values first.
Common Mistakes
These are common mistakes students make when interpreting pictograms in GCSE Maths.
Ignoring the key
Incorrect
A student reads each symbol as 1 without checking the key.
Correct
Always check the key first. Each symbol may represent more than one item, such as 1 symbol = 5.
Counting symbols instead of values
Incorrect
A student counts the number of pictures rather than using their value.
Correct
Multiply the number of symbols by the value shown in the key to find the total.
Misreading partial symbols
Incorrect
A student treats a half symbol as a full one.
Correct
A partial symbol represents part of the value. For example, if 1 symbol = 4, then half a symbol = 2.
Comparing pictures instead of totals
Incorrect
A student compares categories based only on how many symbols are shown.
Correct
Always compare the actual totals, not just the number of pictures.
Adding without converting first
Incorrect
A student adds symbols from different categories directly.
Correct
Convert all symbols into their numerical values before adding or comparing.
Try It Yourself
Practise interpreting and drawing pictograms accurately.
Foundation
Foundation Practice
Interpret pictograms using keys and calculate totals.
A pictogram uses 1 symbol = 4 items. How many items are shown by 6 symbols?
Multiply 6 × 4.
6 × 4 = 24 items.
A pictogram uses 1 symbol = 10. What does half a symbol represent?
Half of 10.
10 ÷ 2 = 5.
A pictogram shows 4 full symbols and 1 half symbol. If 1 symbol = 6, how many items are shown?
4 × 6 + 3.
4 × 6 = 24, half symbol = 3 → total = 27.
Why is a key important in a pictogram?
Think meaning.
Key tells value of each symbol.
A pictogram uses 1 symbol = 8. How many items are shown by 5 symbols?
Multiply.
5 × 8 = 40.
A student ignores the key when reading a pictogram. What is wrong?
Key is essential.
Key defines value of symbols.
A pictogram shows 2.5 symbols. If 1 symbol = 10, how many items are shown?
Half symbol = 5.
2 × 10 + 5 = 25.
A pictogram shows 7 symbols. Each symbol represents 3 items. What is the total?
Multiply.
7 × 3 = 21.
A pictogram uses 1 symbol = 2. How many items are shown by 9 symbols?
Multiply.
9 × 2 = 18.
Higher
Higher Practice
Solve multi-step problems involving pictograms and scaling.
A pictogram uses 1 symbol = 6. If 4.5 symbols are shown, how many items is that?
Half symbol = 3.
4 × 6 = 24, half = 3 → total = 27.
A pictogram uses 1 symbol = 5. A category shows 3.5 symbols. Find the total.
Multiply 3.5 × 5.
3.5 × 5 = 17.5.
A pictogram shows 20 items using 4 symbols. What is the value of 1 symbol?
Divide total by symbols.
20 ÷ 4 = 5.
A pictogram shows 36 items using 6 symbols. What does 1 symbol represent?
Divide.
36 ÷ 6 = 6.
Why might half symbols be used?
Think precision.
Half symbols improve accuracy.
A pictogram uses 1 symbol = 8. A category shows 2.5 symbols. Find the total.
2.5 × 8.
2 × 8 = 16, half = 4 → total = 20.
A pictogram key changes between charts. What must you do?
Keys can differ.
Always check the key.
A pictogram shows 5 symbols representing 25 items. How many items per symbol?
Divide total by symbols.
25 ÷ 5 = 5.
A student multiplies incorrectly when reading a pictogram. What is the likely issue?
Think key.
Key misunderstanding leads to errors.
A pictogram uses 1 symbol = 12. A category shows 1.5 symbols. Find the total.
Half of 12 is 6.
12 + 6 = 18.
Games
Practise this topic with interactive games.
Games coming soon.
Frequently Asked Questions
What is a pictogram?
A chart using symbols to represent data.
What must I check?
The key.
What is a common mistake?
Misreading half symbols.