MathsYears 7–8Problem Solving
Mathematical reasoning
Explain and justify mathematical arguments; show clear working and logical steps; prove simple statements
What you'll learn
- 1
Imagine you have 12 biscuits 🍪 and 3 hungry friends. You need to share them out equally so everyone is happy!
- 2
If you share 12 biscuits equally between 3 friends, how many biscuits does each friend get?
- 3
Use the bar model to share 12 between 3 equal parts.
- 4
Let's solve this together: 'I have 15 stickers. I give 3 to my friend. How many do I have left?'
- 5
What is 15 − 3?
- 6
Now try this: 'There are 20 apples in a basket. 8 are red. The rest are green. How many are green?'
- 7
20 − 8 = ?
Practise Mathematical reasoning with Whizlo
Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 11–13. Aligned to the UK National Curriculum.