Grade 4 math olympiad: strategy and accurate solutions

In Grade 4, reliable calculation is no longer enough on its own. A child needs to notice constraints, choose a useful representation, and change direction when the first approach is not working.

Published September 28, 2026

Begin with a map of familiar methods

Offer five untimed problems of different types and record more than the answers. Note whether the child used a drawing, a table, backward reasoning, systematic listing, or a number pattern. This map shows which tools they select independently and which ones they do not yet recognize in unfamiliar wording.

After each problem, ask two questions: which constraint mattered most, and why did this method fit? If the answer came from an unstructured search, organize the possibilities. If the written work became long, find where a diagram or table could shorten it.

Try five Grade 4 problems Print a 10-problem worksheet

A four-week plan

1. Week 1: identify conditions and constraints. For every problem, record what must remain true.
2. Week 2: compare two representations: a drawing and a table, a diagram and an expression, or forward and backward reasoning.
3. Week 3: practice complete listing, patterns, and connected multi-step problems. Look for a shorter route after finishing.
4. Week 4: complete a mock test with an overall time limit. Solve the approachable problems first, then return to those without an immediate route.

Open the Grade 4 mock test Browse all Grade 4 problems

How to choose a strategy

• draw a diagram when position or the relationship between quantities matters;
• build a table when two features vary or several cases must be compared;
• work backward when the final state is known;
• list possibilities in a fixed order and remove impossible cases early;
• test a pattern on several steps instead of trusting one match.

Reviewing a mock test

Separate skipped problems into two groups: there was not enough time, or no method was found. For the first group, seek a shorter record and a better order of steps. For the second, choose one related problem and identify the clue that points to a suitable method.

If intermediate steps are being lost, return to the Grade 3 plan and strengthen the habit of recording results. MozgoQuest publishes original problems and does not represent any competition organizer.

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