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. 1

    Imagine you have 12 biscuits 🍪 and 3 hungry friends. You need to share them out equally so everyone is happy!

  2. 2

    If you share 12 biscuits equally between 3 friends, how many biscuits does each friend get?

  3. 3

    Use the bar model to share 12 between 3 equal parts.

  4. 4

    Let's solve this together: 'I have 15 stickers. I give 3 to my friend. How many do I have left?'

  5. 5

    What is 15 − 3?

  6. 6

    Now try this: 'There are 20 apples in a basket. 8 are red. The rest are green. How many are green?'

  7. 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.