8 PSLE Math Heuristics Every P6 Student Should Know

Most difficult PSLE problem sums are not testing new content. They are testing whether a student recognises which strategy applies. These eight heuristics cover the overwhelming majority of what appears in Paper 2.

1. Draw a model

The foundation. Part-whole and comparison bar models turn a wordy question into a picture of the relationship between quantities. If a student is stuck, drawing a model is almost always the correct first move.

2. Units and parts

Used for ratio and fraction problems. Express each quantity in equal units, find the value of one unit, then scale up. This single technique unlocks a large share of the harder ratio questions.

3. Before and after

For any situation that changes. Draw both states and identify what stayed constant, whether that is the total, the difference, or one person's amount. The constant is usually the key to the solution.

4. Assumption, or the suppose-all method

For two-item problems such as chickens and rabbits, or coins of two values. Assume everything is one type, calculate the resulting difference from the actual total, then work out how many need swapping.

5. Working backwards

When the question gives you the end state and asks for the start. Reverse each operation in turn. Students often try to work forwards with an unknown and get tangled unnecessarily.

6. Systematic listing

For problems with several possible combinations. The word systematic is the important one. A neat, ordered table finds every case, while scattered guessing misses some and wastes time.

7. Look for a pattern

Common in number sequences and figure-based questions. Work out the first few cases by hand, identify the rule, then apply it. Always verify the rule against a case you have not used to find it.

8. Simplify the problem

If the numbers are intimidating, solve the same question with small numbers first. The structure becomes obvious, and the method transfers straight back to the original figures.

The skill being tested is not the heuristic itself. It is choosing the right one within the first thirty seconds of reading the question.

How to build recognition

Recognition comes from variety, not volume. Twenty questions spread across all eight strategies teaches more than a hundred questions on a single one. When practising, ask your child to state which heuristic they are using before they start calculating. That habit alone lifts marks.

We teach each heuristic explicitly and then mix them, so students learn to identify the right tool under exam conditions. Book a $50 trial class to see the approach.