Primary 5 Maths: Word Problems

Updated Sept 2026

P5 word problems test reading and model drawing as much as arithmetic. The structures to master, why children freeze on them, and worked examples with bar models.

Most schools typically cover this topic in Term 4, around weeks 4–6 — though every school sets its own sequence.

Look at any P5 Maths paper and count where the marks sit: the long word problems at the back of Paper 2 carry 3–5 marks each. A child can be fluent in every calculation and still lose a grade's worth of marks here — because word problems test something extra: turning a paragraph of English into a mathematical structure.

In Singapore Maths, that structure is usually a bar model. P5 is the year the models get genuinely hard: two-variable comparisons, before-and-after situations, and problems that chain fractions, percentages and whole numbers together. "Word Problems" is a cross-topic skill page in our own practice taxonomy — it draws on whichever topic a question is built from, rather than being a syllabus strand of its own.

The structures your child must recognise

• Part-whole and comparison models. "A and B have $120 altogether. A has 3 times as much as B." Two bars, four equal units. This is the bread and butter — it must be automatic before the harder structures make sense.
• Before-and-after. "Siti had twice as much as Raj. After Siti spent $18, they had the same amount." The model changes between two points in time; children who try to hold it in their head instead of drawing usually fail.
• Remainder chains. Fraction-of-remainder problems (covered in depth in P5 Fractions).
• Excess-and-shortage. "If she buys 5 pens she has $2 left; if she buys 7 she is short of $4." Rare in drills, regular in exams.

The mistakes to watch for

• Freezing instead of drawing. The most common failure isn't a wrong model — it's no model. Children who feel a problem is hard skip the diagram, exactly when they need it most.
• Units that don't match the story. Assigning "1 unit" to Adam when the problem says Adam has 3 times as much as Ben makes the arithmetic ugly. Unit choice is a skill worth practising on its own.
• Answering the intermediate number. Solving for one unit and writing that down, when the question asked for the total.

Bar models for the two core structures

Easy: single-step models

Exam: comparison and before-after models

PSLE challenge: multi-step structures

How to practise this topic

Word-problem skill is diagnostic gold: a wrong answer tells you which step broke — reading, model, or arithmetic. Practice should do the same. Rather than grinding 50 mixed problems, work on one structure at a time until the model is automatic, then interleave structures so your child learns to choose the model, not just execute it.

What this topic covers

In the MOE Primary Mathematics syllabus, Primary 5 Word Problems includes the concepts below. (P5-M-12 is Test Paper's own topic code, not an MOE reference.)

• Multi-step word problems
• Before-and-after concept
• Model drawing (bar models)
• Heuristic problem-solving strategies

Before this topic

These topics feed into Word Problems — if this one wobbles, check them first: Primary 4 Word Problems · Primary 5 Fractions · Primary 5 Decimals · Primary 5 Percentage.

Where to go next

• Where this leads: Primary 6 PSLE Problem-Solving, where word problems mix several topics at once.
• Other Primary 5 topics: Primary 5 Fractions · Primary 5 Decimals · Primary 5 Percentage
• All Primary 5 Maths topics, or every P4–P6 topic
• Not sure this is the weak topic? How to find which Maths topics your child is weak in