1. Bar Modelling Guide
The purpose of this document is to provide support for bar modelling with examples of bar models for the most common types of word problems.

2. Part-whole model for addition
134 women and 119 men entered a talent show. How many people entered the competition in total?

3. Part-whole model for addition
134 women and 119 men entered a talent show. How many people entered the competition in total?
For problems where only one bar is required, put the whole amount on top.
Always write numbers outside the bars.

4. Part-whole model for subtraction
316 people enter a talent show. There are 202 women. How many men are there?

5. Part-whole model for subtraction
316 people enter a talent show. There are 202 women. How many men are there?

6. Comparison model for addition
114 men enter a talent show. 88 more women than men enter. How many women have entered the show?

7. Comparison model for addition
114 men enter a talent show. 88 more women than men enter. How many women have entered the show?

8. Comparison model for subtraction
202 women enter a talent show. 88 fewer men than women take part. How many men have entered the show?

9. Comparison model for subtraction
202 women enter a talent show. 88 fewer men than women take part. How many men have entered the show?

10. Comparison model for subtraction
202 women and 114 men enter a talent show. How many more women than men have entered the show?

11. Comparison model for subtraction
202 women and 114 men enter a talent show. How many more women than men have entered the show?

12. Part-whole model for multiplication
Carlton saved £9 a month for 6 months. How much did he save in total?

13. Part-whole model for multiplication
Carlton saved £9 a month for 6 months. How much did he save in total?

14. Part-whole model for division by sharing
Carlton saved £48 in 8 months. How much did he save each month?

15. Part-whole model for division by sharing
Carlton saved £48 in 8 months. How much did he save each month?

16. Part-whole model for division by grouping
Carlton saves £7 each month. How many months will it take him to save £52?

17. Part-whole model for division by grouping
Carlton saves £7 each month. How many months will it take him to save £52?

18. Comparison model for multiplication
There are 6 cherry sweets. There are 4 times as many orange sweets as cherry sweets. How many orange sweets are there?

19. Comparison model for multiplication
There are 6 cherry sweets. There are 4 times as many orange sweets as cherry sweets. How many orange sweets are there?

20. Comparison model for division
There are 24 orange sweets. There are 4 times as many orange sweets as cherry sweets. How many cherry sweets are there?

21. Comparison model for division
There are 24 orange sweets. There are 4 times as many orange sweets as cherry sweets. How many cherry sweets are there?

22. Comparison model for division
There are 24 orange sweets and 6 cherry sweets. How many times as many orange sweets as cherry sweets are there?

23. Comparison model for division
There are 24 orange sweets and 6 cherry sweets. How many times as many orange sweets as cherry sweets are there?

24. Part-whole model for fractions
Hillary buys 36 sweets. 2/3 of them are cherry flavoured. How many cherry sweets are there?

25. Part-whole model for fractions
Hillary buys 36 sweets. 2/3 of them are cherry flavoured. How many cherry sweets are there?

26. Part-whole model for fractions
Will spent 2/5 of his money on a painting. The painting cost £36. How much money did he have at first?

27. Part-whole model for fractions
Will spent 2/5 of his money on a painting. The painting cost £36. How much money did he have at first?

28. Comparison model for ratio and proportion
The ratio of men to women in a school is 4:5. If there are 450 pupils in the school, how many are women?

29. Comparison model for ratio and proportion
The ratio of men to women in a school is 4:5. If there are 450 pupils in the school, how many are women?

30. Comparison model for ratio and proportion
The ratio of monkeys to zebras in a zoo is 3:7. If there are 49 zebras, how many monkeys are there?

31. Comparison model for ratio and proportion
The ratio of monkeys to zebras in a zoo is 3:7. If there are 49 zebras, how many monkeys are there?

32. Part-whole model for percentages
In a bag of 440 marbles, 70% are blue. How many are blue?

33. Part-whole model for percentages
In a bag of 440 marbles, 70% are blue. How many are blue?