Your child reads a problem sum, circles one number, rubs it out, then turns the page. The answer space stays blank.
At home, the same child can multiply fractions, simplify a ratio and explain a model once someone points to the first move.
Learning how to solve PSLE problem sums starts with teaching your child what to notice before the pencil starts moving. ‘Of the remainder’ tells them that the whole has changed. ‘Gave to’ points to a transfer within the same total.
A line linking three buns to every drink gives them a grouping relationship. Once those clues become familiar, a long paragraph begins to show two things: what is given and what has to be found.
Key takeaways
- Ask your child to box the final question before doing any calculation, so the target stays visible.
- In a before-and-after question, ask ‘What stayed the same?’ before your child starts scaling ratios or fractions.
- Treat phrases such as ‘of the remainder’ and ‘gave to’ as clues about how quantities change between steps.
- Ask your child to draw a model or table when the relationships are hard to hold in the head.
- Finish by matching the answer to the exact quantity the question asked for.
Five steps that give a problem sum a clear starting point
The MOE Primary Mathematics syllabus includes Pólya’s four-step process as a model for problem solving. For a child staring at a blank answer space, we can make the planning stage more concrete by separating two decisions: identify the relationship in the question, then represent it on paper.
Step 1: Mark what is given and box what has to be found
Start with the final sentence. Box the quantity your child must find, then mark the facts that feed into it. This prevents an early stop at a nearby quantity. For breaking down long PSLE math word problems, ask, ‘What do I know now, and what must I know at the end?’
Step 2: Name the problem type before choosing the method
The wording separates the main PSLE Math problem-sum methods. Your child needs the relationship before the arithmetic.
A change series follows the same quantities across two moments. If Jia ‘gave to’ Amir, the amount moved between them, so the total stays fixed. If 12 exercise books ‘were added’ to one shelf, the untouched shelf stays fixed. If ‘an equal number were removed’ from two boxes, the gap stays fixed. Ask which quantity survived the change.
A remainder or branching question creates a new whole partway through. Phrases such as ‘of the remainder’, ‘of the rest’ and ‘of the leftover’ make the balance at that stage the whole for the next fraction.
A quantity-times-value or grouping question supplies a relationship between the counts. A bookshop might give two prices and say, ‘for every one of these, there are three of those’. That line tells your child how the counts travel together.
A supposition question gives the total count and combined value, leaving the split to be found. Picture 18 food vouchers with two values and one total amount paid. Grouping gives the count relationship. Supposition calls for a useful assumption.
Step 3: Put the relationships where your child can see them
Represent the question once the type is clear. A model can show parts and totals. A table can organise two moments. The MOE Primary Mathematics syllabus groups heuristics into four categories: using a representation, making a calculated guess, walking through the process, and changing the problem.
Choose the form that exposes the next relationship.
Step 4: Solve one relationship and write that line down
Move from one known relationship to the next. Each line should answer a small question, such as the value of one unit or the amount left. The SEAB PSLE Mathematics syllabus for subject code 0008 states that on a two-mark short-answer question with one part, the correct method earns one mark when the final answer is wrong.
Step 5: Return to the boxed target before writing the answer
Read the boxed question again and compare it with the number your child found. Check the required unit in the answer space and convert the value when needed. Then ask whether the size of the answer fits the story.
A child who found the original amount when the question asks for the remainder still has one step left.
Three worked examples show how the five steps fit together
At home, ask your child to point to the words that gave the method away before checking any arithmetic. These three examples show what that looks like on the page.
Example 1: A transfer changes the ratio while the total stays fixed
Question: Asha and Nabil had canteen coupons in the ratio 5:7. Asha gave 18 coupons to Nabil. The ratio of Asha’s coupons to Nabil’s coupons then became 1:2. How many canteen coupons did they have altogether?
Problem type and clue: This is a change-series question with a constant total, a common structure covered step by step in our guide on how to solve PSLE ratio problem sums. The clue is ‘gave to’. Asha’s 18 coupons change hands within the same pair, so the combined amount stays fixed.
| Asha’s coupons | Nabil’s coupons | Total |
| Before: 5 units | 7 units | 12 units |
| After: 4 units | 8 units | 12 units |
- The after-ratio 1:2 has 3 units in total, so multiply both parts by 4 to match the 12-unit total before the transfer.
- Asha changes from 5 units to 4 units.
- That decrease of 1 unit represents 18 canteen coupons.
- Therefore, 12 units = 12 × 18 = 216 canteen coupons.
Final answer: Asha and Nabil had 216 canteen coupons altogether.
The useful check happens before the arithmetic. Ask your child to make the two totals match in units, then look at how many units moved from Asha to Nabil.
Example 2: The second fraction uses what remains as its new whole
Question: A hawker stall prepared 96 curry puffs. It sold 3/8 of them in the morning. At lunchtime, it sold 2/5 ‘of the remainder’. How many curry puffs were left?
Problem type and clue: This is a remainder or branching question. The clue is ‘of the remainder’. After the morning sale, 60 becomes the number used for the next fraction.
- Morning sale = 3/8 × 96 = 36 curry puffs.
- Remainder after the morning sale = 96 − 36 = 60 curry puffs.
- Lunchtime sale = 2/5 × 60 = 24 curry puffs.
- Curry puffs left = 60 − 24 = 36.
Final answer: The hawker stall had 36 curry puffs left.
Ask your child to write the new whole beside the word ‘remainder’. That small note keeps the second fraction tied to 60.
Example 3: A count relationship turns two item types into equal groups
Question: At a school bookshop, notebooks cost $3 each and files cost $5 each. For every 1 file, there are 3 notebooks. There are 32 items altogether. What is the total cost of all the items?
Problem type and clue: This is a quantity-times-value grouping question. The clue is ‘For every 1 file, there are 3 notebooks’. That sentence lets your child bundle four items before the prices enter.
- One group contains 1 file and 3 notebooks, so each group has 4 items.
- Number of groups = 32 ÷ 4 = 8.
- There are 8 files and 24 notebooks.
- Total cost = 8 × $5 + 24 × $3 = $40 + $72 = $112.
Final answer: The 32 items cost $112 altogether.
The count relationship does the organising. Your child can find how many of each item there are before bringing the prices into the calculation.
Start the correction by asking for the clue
Parents helping a child learn how to solve PSLE problem sums can focus on one question first: ‘What clue tells you what changed?’ A transfer prompts ‘What stayed the same?’ A remainder tells them to mark a new whole. A grouping statement tells them to build equal sets.
Those small decisions give the arithmetic somewhere to start.
When checking an incorrect solution, look first at whether the child misread the relationship, chose the wrong operation or stopped too early: three patterns that also appear among common PSLE Math mistakes.
At The Heuristic Way in Bukit Batok, primary maths tuition uses customised worksheets to target the question types a child keeps misreading. A small group maths class also lets a tutor inspect the working line by line.
This week, choose one blank or incorrect problem sum and ask your child to name its type before solving it again.
Frequently Asked Questions
What should I do when my child gets stuck at the first step?
Ask for the final question first: ‘What are you being asked to find?’ Then ask your child to point to the sentence that changes, compares or links the quantities.
Should my child draw a model for every problem sum?
Use a model when it makes the relationship easier to see. Tables, units and short written relationships can be clearer for questions built around two stages, repeated groups or a changing whole.
How can I tell whether my child chose the wrong method?
Start with the first representation or equation. Check whether that line matches the relationship described in the question, then follow the working from there.
How much work should my child show?
Each line should record one useful relationship or calculation. Clear working also matters for marking because SEAB requires the method of solution to be shown on structured and long-answer questions.