Did you know that choosing the wrong operation is often a reading-and-relationship problem, not a failure to add, subtract, multiply or divide? A child may calculate accurately after choosing a method, yet choose that method from one familiar word instead of the quantities and relationship in the problem.
For the next Maths word problem, cover the numbers for a moment and ask: “What is happening, and what are we trying to find?” Let the child describe the situation, draw a simple bar, table or sketch, and name the unknown before selecting an operation.
Bring the original question, the child’s first representation and the completed calculation to tuition. The tutor can then separate four possibilities: misunderstood language, an incorrect model, a weak operation concept or a calculation error. Each needs a different repair.
eduKateSG · Bukit Timah · Parent learning guide
Find your next learning step
Start with the relationship, then test the chosen operation and the final answer.
SECTION 1 OF 5
Find the relationship before the operation
Operation words are unreliable shortcuts. “More” can describe addition, comparison or an amount that is larger; “left” can describe subtraction, but it may simply refer to a location. The child needs the whole relationship rather than one highlighted word.
Ask the child to identify what is known, what changes and what must be found. For a younger pupil, use objects or a bar model. For an older student, a labelled variable, ratio table, diagram or equation may make the structure visible.
A tutor should listen to the child’s description before correcting the operation. If the story is misunderstood, practising ten more calculations will not repair the actual decision.
SECTION 2 OF 5
Name what each operation would mean
Addition combines quantities or increases a quantity. Subtraction can remove an amount or compare two quantities. Multiplication can represent equal groups, scaling or repeated measures. Division can share, group or find a rate. These are starting meanings, not a complete list of every problem type.
Ask, “If we add these two numbers, what would that total represent?” A child who cannot name the result may be calculating without a model. Repeat the question for the proposed operation until the result has a clear meaning in the story.
This check works beyond Primary Maths. In algebra, percentage, rate and Science calculations, the student should still be able to explain what each quantity and operation represents.
SECTION 3 OF 5
Try an original teaching illustration
Original teaching illustration: A library has 6 shelves with 24 books on each shelf. It lends out 35 books. How many books remain? The first relationship is six equal groups of 24, so 6 × 24 = 144 books. The second relationship removes 35, so 144 − 35 = 109 books.
If a child adds 6 and 24 because both numbers appear first, ask what “30” would mean. It is neither the number of shelves nor the number of books. Naming the unit and role of the result exposes the mismatch without simply announcing the correct operation.
Now change one condition: if 109 books are shared equally among five reading groups, the new question introduces division. The operation changes because the relationship changes, not because one preferred word appears.
SECTION 4 OF 5
Check the answer against the story
Before calculating, ask for a rough expectation. Should the answer be larger or smaller than the starting amount? Should it describe books, shelves, groups, a length, a percentage or a rate? This catches many operation choices early.
After calculating, substitute the answer into the story. In the library illustration, 109 must be fewer than 144 because books were lent out. An answer of 179 would conflict with that change even if the arithmetic that produced it were neat.
For calculators and multi-step work, keep the model visible. Technology can carry out an entered operation; it cannot decide whether that operation matches the situation.
SECTION 5 OF 5
Use the error to choose the next lesson
If the child misreads the vocabulary, teach the sentence and context. If the model is wrong, compare two representations. If the operation meaning is weak, return to concrete or visual examples. If only the calculation fails, keep the correct model and repair that calculation skill.
At Primary 1–6 and PSLE, use material appropriate to the child’s taught syllabus. At secondary level, match examples to the actual Mathematics or Science subject and level. Posting Group and subject level are not interchangeable labels.
For SEC candidates from 2027, SEAB states that subjects are taken at their respective G1, G2 or G3 levels. Use the document for the student’s examination year and subject; do not treat one word-problem routine as a substitute for the actual syllabus.
Contents · Previous · Discuss your next step
Bring one useful example to a consultation
Bring one word problem with the child’s untouched first attempt. Ask the tutor to identify whether the obstacle is language, representation, operation choice or calculation, then agree on one changed problem that tests the repair independently. Confirm suitable 3-pax placement and current arrangements directly.
Continue with the closest guide
- Bukit Timah Primary to SEC decision guide
- Why Does My Child Know the Formula but Not Which Numbers to Use?
- Should My Child Draw a Diagram Before Answering?
- How Can Tuition Help a Child Who Keeps Misreading Questions?
Sources and scope
The examples are original teaching illustrations. This guide explains a diagnostic routine, not a claim that every word problem uses one fixed model or set of clue words. SEC information was checked against SEAB on 11 October 2026. Confirm the student’s actual subject, level, candidate type and examination year.