SATs reasoning practice: helping your child think through Papers 2 and 3

Papers 2 and 3 (reasoning) give children 40 minutes each to solve problems that require reading, interpreting, and choosing a method — not just calculating.

This is where many children lose marks, even if their arithmetic is strong.

What reasoning papers actually test

• Multi-step word problems
• Interpreting tables, charts, and diagrams
• Explaining or proving a mathematical statement
• Applying knowledge to unfamiliar contexts
• Working backwards from an answer

The maths itself is rarely harder than Paper 1. The difficulty is in figuring out what to do.

Examiners award method marks for correct working even if the final answer is wrong. Encourage your child to show every step clearly — it can recover marks even when calculations go astray.

Common reasoning struggles

1. Not reading the full question before starting to calculate
2. Choosing the wrong operation in multi-step problems
3. Leaving "explain" questions blank because the child doesn't know what to write
4. Running out of time on the final third of the paper

For 'explain how you know' questions, a reliable starter is: I know this because… followed by one mathematical reason or a short calculation that proves it.

These improve with practice — but the right kind of practice.

A focused practice routine

• Pick 2–3 reasoning questions (not a full paper).
• Before solving, ask: "What is the question actually asking?"
• After solving, compare the working to the mark scheme together.
• For any missed mark, write one sentence explaining what to do differently.

Quality matters far more than quantity. Two questions done well teach more than twenty done in a rush.

Building the reasoning habit

• Think aloud together: model how you'd break a problem into steps.
• Underline key words: "how many more", "altogether", "explain how you know".
• Estimate first: a rough answer catches impossible mistakes early.
• Normalise re-reading: good mathematicians read questions more than once.

For arithmetic-specific practice, see: SATs arithmetic practice.

For a broader view of what Year 6 maths questions look like, start here: SATs maths questions Year 6.