Resources · Mathematical Reasoning
Mathematical Reasoning Strategies
Maths Reasoning is a thinking test with numbers attached. These strategies help your child choose the right approach fast and avoid careless slips.
Put these into practiceNew to this section?What Mathematical Reasoning actually contains
Fractions
- ✓Simplify early to keep numbers small and manageable.
- ✓Find common denominators before adding or comparing.
- ✓Link fractions, decimals and percentages fluently (½ = 0.5 = 50%).
Percentages
- ✓Learn 10% and 1% of a number, then build others from them.
- ✓For “percentage of”, multiply; for increase/decrease, adjust from 100%.
- ✓Estimate first so a wrong answer looks obviously wrong.
Ratios & proportion
- ✓Add ratio parts to find the “whole”, then scale.
- ✓Keep units consistent before comparing.
- ✓Use a quick table for “if this, then that” scaling problems.
Multi-step problems
- ✓Underline exactly what the question asks for.
- ✓Do one step at a time and jot the running result.
- ✓Answer the actual question — not the number you found on the way.
Number patterns
- ✓Look at the difference between terms first.
- ✓Test your rule on the next term before trusting it.
- ✓Watch for patterns that multiply or alternate, not just add.
Time-saving techniques
- ✓Estimate to eliminate impossible options instantly.
- ✓Skip and flag anything that stalls you for more than a minute.
- ✓Use answer options as clues — work backwards when it’s faster.
Common mistakes to avoid
- Unit slips — mixing mL and L, cm and m, minutes and hours.
- Answering a different question than the one asked.
- Not sanity-checking whether the answer is reasonable.
Try these on a real paper
Realistic Selective-style mock tests, worked solutions and progress tracking — start today.