Word problems are where many Year 4, 5, and 6 pupils hit a wall in their 11+ preparation. The numbers might be straightforward, but the language wrapping them can cause a child to freeze — even when they know the underlying maths. The good news is that effective 11 plus maths word problem strategies are entirely learnable. They are not tricks or shortcuts; they are habits of thinking that, once internalised, transfer across every question type on the paper.
At Singapore Maths Academy, word problems are central to how we teach. The Singapore curriculum is built on the idea that genuine mathematical understanding — rather than rote recall — is what produces confident problem-solvers. These strategies are how we bring that philosophy into every lesson.
1. Draw a Bar Model
The bar model is the most powerful single tool in any 11+ student’s armoury. It converts language into a visual structure, making the relationships between quantities immediately clear — even before a single number is written down.
Consider a question like this: Priya has four times as many stickers as James. Together they have 120 stickers. How many does Priya have?
A child working with a bar model draws one unit bar for James and four equal unit bars for Priya. They can see that five equal parts make 120, so each part is 24 — and Priya has 96. The maths flows naturally from the picture, rather than requiring the child to set up an equation from scratch.
Bar modelling is not limited to addition and subtraction. It is equally effective for multiplication, division, fractions, percentages, and ratio problems — exactly the range of topics that appear on 11+ papers. Research consistently shows that children who use visual representations in maths develop stronger problem-solving skills, which is precisely why bar models are core to the Singapore Maths approach.
You can explore the bar model method in much greater depth through our sister resource at Bar Model Company, which supports teachers and parents in using this method confidently. We also cover the approach across our bar model method guide on this site.
2. Identify the Keywords
Word problems contain mathematical vocabulary that signals which operation or method is required. Teaching children to spot these keywords — before attempting any calculation — is one of the most reliable 11 plus maths word problem strategies there is.
Common keywords to recognise:
- Total, altogether, combined — addition or multiplication
- Difference, more than, less than, fewer — subtraction or comparison
- Shared equally, split, divided — division
- Times as many, product, groups of — multiplication
- Fraction of, percentage of, proportion — fractions or percentages
- Remaining, left over, change — subtraction, sometimes multi-step
The important caveat: keywords are a starting point, not a final answer. Some questions are deliberately constructed to mislead a child who is keyword-hunting without reading carefully. The keyword tells you where to look; careful reading tells you what to do.
3. Break the Problem into Smaller Steps
Multi-step problems — which carry significant marks on 11+ papers — are designed to test whether a child can sequence their working, not just perform a single calculation. The strategy here is straightforward: read the whole problem, then identify what you need to find first before you can find the final answer.
Example: A baker makes 240 biscuits. He sells three-quarters of them in the morning and a third of the remainder in the afternoon. How many biscuits does he have left?
Step 1: Find three-quarters of 240 — that is 180 sold in the morning, leaving 60.
Step 2: Find a third of 60 — that is 20 sold in the afternoon, leaving 40.
A child who attempts to do this in one step will almost certainly go wrong. Breaking it down makes the problem manageable and dramatically reduces errors. This is particularly important for 11+ papers, where showing working — even if the final answer is slightly off — demonstrates genuine mathematical reasoning.
4. Work Backwards
Some word problems give you the end result and ask you to find a starting value. Working backwards — often called inverse reasoning — is the cleanest approach.
Example: After spending £14 on a book and £9 on lunch, Sophie has £27 left. How much did she start with?
Rather than writing equations, a child who works backwards adds the amounts she spent back onto what is left: £27 + £9 + £14 = £50. Simple, quick, and reliable.
This strategy transfers well to number puzzles and function machine questions, which appear regularly on GL and CSSE 11+ papers. Pupils who practise it fluently find those question types significantly less daunting.
5. Draw a Diagram or Table
Not every problem calls for a bar model. Some — particularly those involving distance, time, and speed, or systematic counting — are easier to solve with a quick sketch or a simple table.
Example: Three friends each shake hands with every other friend. How many handshakes are there in total?
A child who draws three dots and connects them with lines — or writes a simple table of pairings — can count three handshakes without needing to recall a formula. The drawing removes the cognitive load of holding the information in their head.
For distance and speed problems, a quick timeline sketch helps children see which leg of a journey corresponds to which value, making it much harder to assign figures to the wrong variable.
6. Check by Substitution
This is the strategy most children skip under timed conditions — and it is often the one that costs them marks. Checking by substitution means putting the answer back into the original problem to confirm it works.
Returning to the sticker example from Strategy 1: if Priya has 96 stickers and James has 24, does Priya have four times as many as James? Yes — 24 × 4 = 96. Do they have 120 altogether? Yes — 96 + 24 = 120. The answer checks out.
This habit builds the kind of self-monitoring that separates students who perform consistently from those who perform well in practice but drop marks under pressure. It takes about ten seconds per question and, once embedded, becomes automatic.
How These Strategies Come Together
The most effective approach is not to pick one strategy and apply it to every problem. It is to read the question carefully, identify which strategy — or combination — fits, and then work through systematically. Children who practise this process repeatedly develop a fluency that goes well beyond memorising procedures.
That is exactly the aim of our 11+ maths tuition at Singapore Maths Academy. Our carefully structured lessons use the Singapore Maths approach — built on understanding rather than rote learning — to give pupils a genuine toolkit for word problems, not a set of shortcuts that break down under exam pressure. Our founder was personally trained in Singapore by Dr Yeap Ban Har, the world’s leading Singapore Maths expert, and word problem fluency is woven into everything we teach.
You can see these strategies explained and modelled in practice on our YouTube channel, where we work through 11+ problem types step by step. For further reading on how word problems are approached in our lessons, our guide to 11+ maths word problems covers the topic in detail.
If your child is in Year 4, 5, or 6 and preparing for the 11+, we teach in small groups of around 4–5 — enough to learn from peers, small enough that every child is seen. Our tutors are qualified teachers, trained in the UK or Singapore, with deep experience of exactly these papers.
To find out more about how we work and whether there is a place available for your child, get in touch with us here.