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Free topic guides · PSLE Mathematics

PSLE Math Topic Guides

Free topic guides covering all 10 PSLE question types and the most-tested structures, each with worked examples. Open the structure your child finds hardest, follow the method step by step, and see how the same idea shows up across different questions. Start with the flagship guide, or jump straight to a type below.

Last updated 18 Jun 2026 · All 10 question types now live.

Browse by question type

Every PSLE question type, explained the way we teach it.

Each guide breaks down one structure: what it looks like, the method that unlocks it, and worked examples drawn from real past papers.

Most-Tested PSLE Math Topics Flagship

Start here. The topics that recur most often, built from 709 PSLE questions tagged across 2012 to 2025.

Read the flagship guide →
Part-Whole

How parts add up to a whole, and how the bar model makes the relationship visible.

Open the guide →
Gaps & Differences

When the question hinges on the difference between two quantities, not the totals.

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Before-and-After

Tracking what changes and what stays the same when a situation shifts.

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Proportion

Scaling quantities up and down while keeping the ratio between them fixed.

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Volume & Rate

Tanks filling and draining, and how to reason about rate without guessing.

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Percentage

Working with the base, the change, and the new amount without losing track.

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Data Handling

Reading tables, charts and averages, and pulling the right number from the graph.

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Area & Perimeter

Splitting and combining shapes to find the measure the question really wants.

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Geometry

Angles in shapes, lines and overlaps, and the rules that pin each one down.

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Number Patterns

Spotting the rule behind a sequence and extending it to any term.

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Speed

Distance, speed and time, and how to keep the relationship straight under pressure.

Open the guide →
The Hardest PSLE Questions Collection

A worked collection of the toughest questions, each broken down so the method is clear.

See the collection →

These guides name the question types the way we teach them in class. Once your child can name the structure in front of them, choosing the right method becomes a habit instead of a guess.

Ready to drill the question types?

Practise them all in the PSLE Math Intensive.

These guides pair with the Lock & Key method taught in our P6 PSLE Math Intensive. We work each question type until your child can name the lock on sight and reach for the right key, with feedback on every attempt.

Free for parents

Get the 10 PSLE Question Types cheat sheet

Join the mailing list and we'll send you a one-page summary of all 10 PSLE question types, plus a note each time we publish a new guide.

Topic guides, questions parents ask

Are these topic guides really free?

Yes. Every topic guide here is free to read, with no sign-up wall. You only need an email if you want the 10 PSLE Question Types cheat sheet or a note when we publish new guides.

Do the guides cover all the PSLE question types?

They cover all 10 PSLE question types, from part-whole and percentage to volume, rate and speed, plus a flagship guide to the most-tested topics and a collection of the hardest questions. Each one includes worked examples.

Which guide should my child start with?

Start with the Most-Tested PSLE Math Topics guide to see where the marks sit, then open the question types your child finds hardest. There is no fixed order, so follow the structures that trip them up most.

Can my child use these guides on their own?

Yes. Each guide is written to be read and worked through independently. If you would rather drill the question types with a teacher and feedback on every attempt, see our P6 PSLE Math Intensive.

From question types to a real plan

Guides show the method. We teach it.

Founded by Mrs Eileen Toh, GPA teaches PSLE math from our own in-house materials. Book a free trial and we'll show you exactly where your child stands.

Free trial · about an hour · a real diagnostic · no obligation, no hard sell.

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