Read and draw pictograms using a key, including half-symbols, then find totals and missing frequencies. It is a Foundation topic, aimed at grade 1. Free questions with answers are on this page. Worked examples show each line before you try the questions.
A pictogram uses a picture to stand for a number of items. Always read the key: if one car symbol =2 cars, then three and a half symbols =7 cars. Half a symbol is half the key, not half a car unless the key says so.
A bar chart uses the height (or length) of each bar as the frequency. Bars must be the same width, with gaps between them for categorical data. The total frequency is the sum of the heights. Dual bars (boys/girls for the same category) are added to get the category total.
When you draw one, label both axes, write a title, and use a consistent scale that starts at zero unless a jagged-axis warning is shown.
Objectives
Read the key before counting symbols.
Find a total from whole symbols.
Add a leftover amount that is not a full symbol.
Key points
Read a value from a bar chart using the scale on the frequency axis.
Use a pictogram key to turn whole and part symbols into frequencies.
Draw a bar chart with equal-width bars, gaps between them, labelled axes and a title.
Compare two groups on a dual bar chart.
Worked examples
Example 1
In a pictogram each symbol stands for 2 books. A row shows 5 symbols. How many books?
2 marks
Multiply 2 by 5.
2 × 5 = 10.
The result is 10.
Answer: 10
Common slips
Slip: Add 2 to 5. That is a different operation, so it answers a different question.
Slip: 2 + 5 = 7. That uses addition, but this step needs multiplication.
Slip: The result is 14. That does not match the working above it.
Example 2
Each symbol stands for 10 cars. A row shows 3 whole symbols and 1 half symbol. How many cars?
3 marks
3 × 10 = 30.
A half symbol is 10 ÷ 2 = 5.
30 + 5 = 35.
Answer: 35
Common slips
Slip: 3 + 10 = 13. Each whole symbol is a group of the key, so multiply.
Slip: A half symbol is worth 10. A half symbol is worth half the key, not the whole key.
Slip: 30 × 5 = 150. Add the half symbol to the whole symbols. Do not multiply.
Example 3
Each symbol stands for 4 pupils. Row A has 7 symbols and row B has 3 symbols. How many more pupils does row A show?
3 marks
7 − 3 = 4.
4 × 4 = 16.
The result is 16.
Answer: 16
Common slips
Slip: 7 + 3 = 10. That uses addition, but this step needs subtraction.
Slip: 4 + 4 = 8. That uses addition, but this step needs multiplication.
Slip: The result is 20. That does not match the working above it.
Questions and answers
GCSE Maths pictograms questions and answers. Try each one, then open the answer. Easy questions come first.
Question 1 Easy2 marks
In a pictogram each symbol stands for 5 cakes. A row shows 4 symbols. How many cakes?
Show answer
Answer: 20
5 × 4 = 20.
The result is 20.
M1 — 5 × 4 = 20.
A1 — Answer 20
Question 2 Easy2 marks
In a pictogram each symbol stands for 10 goals. A row shows 6 symbols. How many goals?
Show answer
Answer: 60
10 × 6 = 60.
The result is 60.
M1 — 10 × 6 = 60.
A1 — Answer 60
Question 3 Medium2 marks
Each symbol stands for 4 stickers. A row shows 5 whole symbols and 1 half symbol. How many stickers?
Show answer
Answer: 22
5 × 4 = 20.
A half symbol is 4 ÷ 2 = 2.
M1 — 5 × 4 = 20.
A1 — Answer 22
Question 4 Medium2 marks
Each symbol stands for 5 books. There are 35 books to show. How many symbols are needed?
Show answer
Answer: 7
35 ÷ 5 = 7.
The result is 7.
M1 — 35 ÷ 5 = 7.
A1 — Answer 7
Question 5 Hard2 marks
Each symbol stands for 5 cakes. Row A has 8 symbols and row B has 3 symbols. How many more cakes does row A show?
Show answer
Answer: 25
8 − 3 = 5.
5 × 5 = 25.
M1 — 8 − 3 = 5.
A1 — Answer 25
Question 6 Hard2 marks
Each symbol stands for 6 goals. A row shows 4 whole symbols and 1 half symbol. How many goals?
Show answer
Answer: 27
4 × 6 = 24.
A half symbol is 6 ÷ 2 = 3.
M1 — 4 × 6 = 24.
A1 — Answer 27
Question 7 Exam-style3 marks
Each symbol stands for 8 stickers. Class A has 4 whole symbols and 1 half symbol. Class B has 3 whole symbols. How many stickers are shown altogether?
Show answer
Answer: 60
Class A: 4 × 8 + 4 = 36.
Class B: 3 × 8 = 24.
36 + 24 = 60.
M1 — Class A: 4 × 8 + 4 = 36.
M1 — Class B: 3 × 8 = 24.
A1 — Answer 60
Common mistakes
Most lost marks on this topic are one slip.
Counting symbols and forgetting the key.
Multiply the number of symbols by what one symbol is worth.
Treating half a symbol as a whole one.
Half a symbol is half the key.
Comparing rows that use different keys.
Convert both rows to the real amounts first.
Spot the slip
If one symbol stands for 2 apples, how many apples do 3 symbols stand for?
6
5
3
Show the slip
6 Three groups of 2 is 6.
Exam tips
This topic can appear on a calculator or a non-calculator paper. Show enough working for a method mark.
If the question says “show that”, the result is given. The marks are for the steps that reach it.
The method is the same on AQA-style and Edexcel-style papers.
When a total is given, add the bars you know and subtract — write both lines so the method is visible.
Use a ruler for bars and check each bar height against the scale before moving on.
Printable worksheet
The same questions are in a PDF you can print. Answers start on a later page.