Learning at home

How to help your child solve maths word problems

A child may calculate accurately yet struggle to decide what a question is asking. Start by making the situation understandable, then connect it to the mathematics.

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Find out where the difficulty begins

When a word problem ends in frustration, asking for the answer again rarely tells you much. Invite your child to explain what is happening before choosing an operation. Can they describe the people or objects involved? Do they know what the numbers represent? Can they say what needs to be found? These questions separate understanding the situation from carrying out the calculation.

Try reading the problem aloud without emphasising particular numbers. If that makes it manageable, the language or reading demand may be part of the difficulty. If your child understands the story but cannot represent the quantities, start there. If the representation is sound but the arithmetic goes wrong, practise that calculation separately. One mistaken answer can have several possible causes.

Use a routine that leaves room for thinking

A useful routine is to read, retell, represent, solve and check. It is a guide for thinking, rather than a script a child must recite. Read the whole question once. Retell it in ordinary language. Represent the relationships with objects, a sketch, a number line or a simple bar. Then choose the calculation and check whether the answer fits the original situation.

Avoid treating individual words as automatic instructions. The word more does not always mean addition. In the question, 'Ari has 18 stickers, which is 6 more than Maya. How many does Maya have?', the answer is 12. The relationship between the two amounts matters more than any isolated word. Ask your child who has the larger amount before discussing a calculation.

Worked example: compare two amounts

Consider this original practice question: 'Lena reads 24 pages. This is 7 pages more than Sam reads. How many pages does Sam read?' Begin with the meaning: Lena has read more, so Sam's answer should be smaller than 24. Sketch one bar for Lena and a shorter bar for Sam. The extra part of Lena's bar represents the difference of 7 pages.

Your child can now write 24 minus 7 equals 17. Check by rebuilding the relationship: 17 plus 7 equals 24. The answer is 17 pages, not simply 17. If your child adds the numbers, return to the bars and ask whether Sam would then have read fewer pages than Lena. This keeps the correction connected to the problem, rather than making subtraction an unexplained rule.

Worked example: keep track of two steps

A second example introduces a different structure: 'Four children each collect 6 shells. They put 9 shells back on the beach. How many shells do they keep altogether?' First establish the total collected. Four equal groups of six make 24. Only after that can the 9 returned shells be subtracted, leaving 15. Label the intermediate total so it does not become another unexplained number.

If the full question is overwhelming, cover the final sentence temporarily and draw the four groups. Then uncover the change. Ask what has happened to the collection, and whether the final amount should be larger or smaller. Use smaller numbers or physical counters if necessary. Once the structure is understood, return to the original quantities rather than leaving the task at the easier version.

Ask questions that do not give away the method

Some prompts invite thinking; others quietly do the thinking for the child. 'Which number will you subtract?' supplies the operation before your child has chosen it. 'What changed?' or 'Which quantity are we trying to find?' leaves that decision open. Allow a pause after asking. Filling every silence can make it difficult to tell what your child can do independently.

If they remain stuck, offer the smallest useful support. You might clarify an unfamiliar word, draw the first group or ask them to point to the unknown quantity. Record the help you gave, even informally. A correct answer reached with substantial prompting is useful practice, but it is different from an independently solved problem. Both belong in a realistic picture of progress.

Choose fewer problems with more variation

Repeating twenty questions with the same layout can teach children to recognise a worksheet pattern. A shorter selection with varied wording reveals more. Compare a question that asks for a total with one that asks for a missing part. Keep the numbers similar so the child can concentrate on the relationship. Then change the setting and ask whether the same representation still works.

For families studying across different curricula in Bali, use the notation and method currently taught at school as your starting point. Ask the teacher for a representative question if you are unsure. A tutor can explain an alternative representation, but the child should understand how it connects to classroom work. Our maths support page explains how to discuss the current topic and learning goal.

Recognise progress beyond a correct answer

Look for a child who retells a question more accurately, labels a drawing, notices an unreasonable answer or explains why an operation fits. These are observable changes even when arithmetic is still uneven. Keep one earlier problem and return to a similar question after further practice. Compare the amount of help needed as well as the final answer.

Bring two or three examples to school or a tutor if the same obstacle persists. Include the original question and your child's working, not just a score. The number sense and reasoning guide explores the underlying ideas, while primary learning support explains the broader service. This article concentrates on translating a particular written problem into a mathematical relationship.

Frequently asked questions

Should I teach my child to underline every number?

Underlining can help locate information, but it does not explain how quantities relate. Ask your child to label each number with its meaning and identify the unknown quantity. Some questions include information that is not needed. Choosing relevant information is part of understanding the problem, so avoid making 'use every number' a rule.

What if my child gets the answer mentally?

Ask for a brief explanation rather than insisting on a long written method for every easy question. For harder tasks, a sketch or a few labelled steps can make the reasoning visible. School assessments may have particular requirements for showing working, so check those expectations with the teacher and practise them when they apply.

How long should we practise word problems at home?

Choose a manageable task and stop before the discussion becomes a repeated struggle. The useful measure is whether your child has understood one relationship or tried one strategy, rather than a fixed number of minutes. If homework repeatedly requires extensive adult help, share examples with the teacher and discuss the level of support being expected.

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