Mathematics Learning Library | eduKateSingapore

Strengthen number sense, operations, fractions, proportional reasoning, problem solving, geometry and data. This reader-friendly shelf contains 160 focused learning guides, grouped by related skills and ideas.

Return to the Singapore Learning Library to explore other subjects.

Browse by learning area

Number sense (20 guides)

Operations (22 guides)

Fractions (25 guides)

Decimals and percentages (20 guides)

Ratio and rates (15 guides)

Problem solving (25 guides)

Geometry and measurement (22 guides)

Data and uncertainty (11 guides)

Choose the next useful step

Begin with the learner’s current question and check school feedback. Use the explanation, worked example and practice prompt in one guide before choosing a related topic.

Topic placement, current examination arrangements and expected depth depend on the learner’s school programme, cohort and applicable official syllabus.

Explore the wider Mathematics article estate

This structured library remains the focused route for 160 Mathematics learning guides. For the wider published collection across Primary, PSLE, Secondary, E-Math, Additional Mathematics, advanced concepts and study methods, continue to the Mathematics Article Directory.

Continue into Secondary Mathematics

Use the eduKateSG Mathematics Learning Hub for the wider Primary-to-JC map, or the Secondary Mathematics S1–S4 capability map for worked Secondary teaching guides.

When Additional Mathematics becomes the learner’s separate subject route, continue to the Additional Mathematics gateway. This library remains the foundations and focused-skill shelf.

Additional Mathematics specialist gateways

When this foundations library is no longer the right owner, use the eduKateSG Additional Mathematics Hub for the wider subject map, examination routes and A-Math progression.

For direct worked Secondary 3–4 teaching guides, use the eduKateSengkang Additional Mathematics Learning Hub. Return to this library when the repair belongs to earlier Mathematics foundations or focused prerequisite skills.

Explore the connected learning guides

Choose the question that brought you here. Open one useful guide, try a small task, and stop when you have what you need.

Take one question further

The same learning habit can travel across subjects, while each subject keeps its own methods. These routes help you notice a difficulty, understand one part of it, and return to something you can do.

A word is familiar, but using it is difficult.

Move from recognising a word to retrieving it in a new context. Understand vocabulary plateaus.

Try it without the guide: Choose one word you already know. Close the guide and use it in a new sentence. Explain why it fits; try another context tomorrow.

A piece of writing has ideas, but the reader loses the thread.

Make the order of events and the links between sentences clear. Explore composition writing.

Try it without the guide: Choose one short paragraph. Read the relevant explanation, close it, and revise the paragraph. Ask someone to tell you what happened and why.

The Mathematics seems familiar, but marks still disappear.

Find the first point where the working stops being reliable. Find Secondary 4 A-Math mark leakage.

Try it without the guide: For a Secondary 4 A-Math question you have attempted, locate the first uncertain line. Repair that step, then try a comparable question without the worked answer.

A Science fact is remembered, but the explanation is incomplete.

Connect the evidence to a scientific idea and the resulting change. Follow the Primary Science learning route.

Try it without the guide: Choose a familiar Primary Science example. Explain the evidence, the idea and the result without notes. Then change one condition and explain your prediction.

Two accounts of the world seem to disagree.

Check the question, source, date and evidence before combining claims. Explore the World Knowledge research library.

Try it without the guide: Take one claim. Find the source best placed to support it, note its date, and state what remains uncertain. Return to your original question.

There is plenty of help, but independence is hard to see.

Check what the learner can understand and do after support is removed. Understand how education works.

Try it without the guide: Choose one small task the child has practised. Agree on a calm, brief attempt without prompts. Use what happens to choose one next step, then stop.

For the structure behind these connections, read the eduKateSingapore runtime manifest and the eduKate ecosystem boot contract. The reader map describes public navigation; those manifests preserve the wider ownership and return rules.