11+ Entry

How to Solve 11 Plus Maths Word Problems

Children who add, subtract and divide accurately can still stall when the same maths is buried inside a paragraph. The difficulty is decoding, not arithmetic. Here is a four-step method, three worked examples and the mistakes that cost easy marks.

7 min
September 10, 2026

To solve 11 Plus Maths word problems successfully, children need a clear method rather than a collection of rushed calculations. The best approach is to read the question twice, identify the important numbers and operation clues, decide the order of the calculations, and then check that the final answer actually matches what the question asked.

This matters because many pupils who are perfectly capable of arithmetic become far less confident when the same skills are hidden inside a paragraph. A child may add, subtract, multiply and divide accurately in isolation, yet hesitate when those operations are wrapped inside a longer problem.

The difficulty usually does not lie solely in the maths. Word problems test comprehension, calculation and sequencing at the same time. A pupil has to understand the wording, recognise which numbers matter, decide which operation is needed first and then carry out the maths accurately.

Under 11 Plus time pressure, that combination can quickly expose weak habits.

That is why word problems matter so much in selective exam preparation. They are often the point at which strong mathematicians separate themselves from children who can calculate well but do not yet think mathematically under pressure.

In GL Assessment-style papers, which often use multiple-choice formats in tightly timed conditions, children must solve efficiently enough to keep pace. In written-answer formats, including some regional and independent-school assessments, pupils may also need to show a clear, disciplined method rather than identify the right option.

The children who do well are rarely guessing what to do next. They have learned a repeatable way of thinking.

How to solve 11 Plus Maths word problems.

Why 11 Plus Word Problems Feel Difficult

Pure arithmetic asks a child to carry out a calculation. Word problems ask a child to decide which calculation is required before they begin.

That extra layer is where many marks are lost.

A pupil may know how to divide by four, work out a fraction of an amount or split a total into a ratio, but unless they recognise that this is the method required, the skill itself remains unused.

This is why some children score highly on arithmetic exercises but perform less strongly on mixed problem-solving papers. They are not necessarily weak at maths. More often, they are slow at decoding what the maths is.

Once parents understand that distinction, practice becomes far more productive because the goal shifts from doing more sums to improving problem recognition.

Parents looking at the wider exam landscape may also find Types of 11 Plus exams useful, because different schools and regions test mathematical problem-solving in slightly different ways.

The Four-Step Method for 11 Plus Maths Word Problems

A strong method gives children something dependable to return to whenever they meet an unfamiliar question. Rather than jumping straight into calculations, they learn to approach problems calmly and systematically.

Step 1: Read Twice Before Writing

The first reading gives the general meaning of the question. The second reading identifies exactly what is being asked.

This matters because children often begin calculating before they truly understand the target. A problem may include several numbers, but only one final quantity is actually being requested. If a child rushes past that distinction, they may complete correct calculations and still answer the wrong question.

Step 2: Identify the Numbers and Operation Clues

Once the question is understood, the useful information should stand out clearly.

Numbers matter, but so do the words around them. Phrases such as each, per, altogether, shared equally, ratio, remaining, one quarter of, increased by and difference between all point towards possible methods.

Children who train themselves to notice these signals begin identifying question types much faster.

Step 3: Decide the Order of the Calculations

Most 11 Plus Maths word problems involve more than one step. The first calculation is often not the final answer, but a stepping stone towards it.

Strong pupils pause briefly and map the route before writing anything down, because knowing where the problem is going makes careless mistakes much less likely.

Step 4: Calculate, Then Check the Answer Against the Question

Once the working is complete, the final answer should be checked against the original wording.

Did the question ask for the total number of pencils, the number of boxes, the money left, the largest share, the time taken, or the difference between two quantities?

Children frequently solve the maths correctly but stop one step too early. This final check prevents easy marks from being lost.

Problem-Type Decision Table

Before solving, it helps children classify the question they are looking at. Recognition speeds up method choice and reduces hesitation.

Problem typeSignal wordsLikely methodExample context
Multi-step multiplicationeach, per, altogetherChain calculationsPacks, boxes and totals
Ratioratio, shared in, partsTotal parts, one part, scale upSharing sweets or money
Fractions of an amountone third, one quarter, remainderDivide, subtract, continueBooks, money or groups
Percentages%, discount, increase, decreaseConvert the percentage and applySale prices or population changes
Time and rateper hour, how long, speedRate × time or divisionJourney or work-rate problems

Children who can classify quickly usually solve more quickly because they are choosing from known methods rather than inventing an approach from scratch.

Worked Example 1: Multi-Step Multiplication

A shop sells pencils in packs of 8. One box contains 15 packs. A school buys 6 boxes. How many pencils are bought altogether?

Step 1: The question is asking for the total number of pencils.
Step 2: The important numbers are 8, 15 and 6.
Step 3: First, find the number of pencils in one box, then find the number in six boxes.
Step 4: Calculate carefully.

8 × 15 = 120
120 × 6 = 720

Answer: 720 pencils

The important lesson here is sequencing. Children who miss one stage often lose a straightforward mark even though the arithmetic itself is simple.

Worked Example 2: Ratio

Sixty sweets are shared in the ratio 2:3:5. What is the largest share?

Step 1: The question is asking for the largest share.
Step 2: The total is 60, and the ratio parts are 2, 3 and 5.
Step 3: Add the ratio parts.

2 + 3 + 5 = 10 parts

One part is:
60 ÷ 10 = 6

The largest share is:
5 × 6 = 30

Answer: 30 sweets

Children often struggle with ratios because they focus on the numbers in the ratio rather than the total number of parts. Once they understand that ratio means splitting a whole into equal-value parts, these questions become much clearer.

Worked Example 3: Fractions of an Amount

Leila has 60 books. She gives one quarter to her brother, then gives one third of the remaining books to her sister. How many books does Leila have left?

Step 1: The question is asking how many books Leila has left.
Step 2: The important information is 60 books, one quarter, then one third of the remainder.
Step 3: The order matters. The brother’s books are found first. The sister’s books are then calculated from what remains, not from the original 60.

One quarter of 60 is:
60 ÷ 4 = 15

Remaining books:
60 − 15 = 45

One third of 45 is:
45 ÷ 3 = 15

Remaining books:
45 − 15 = 30

Answer: 30 books

This is exactly the kind of layered question that catches children who rush, because the second fraction is not taken from the starting amount.

Common Mistakes in 11 Plus Maths Word Problems

The most frequent mistake is calculating before understanding. Children see numbers and immediately start working without first deciding what the question is actually asking.

Another common issue is missing a step in a multi-stage problem, particularly where one answer must be used to generate the next. Some pupils also confuse quantity with value, working out one correct figure but failing to convert it into the required final quantity.

Perhaps the most frustrating mistake of all is answering the wrong question entirely, even though the maths is sound, because the child stops one step too early.

These errors are encouraging in one sense because they are usually fixable. They are process errors, not ability errors, and the process can be trained.

For related guidance, Common mistakes in 11 Plus Maths provides parents with a useful way to identify whether lost marks are due to calculation weakness, misreading, or poor exam technique.

How to Practise Word Problems at Home

The best home practice is steady and structured rather than exhausting.

Ten to fifteen minutes each day focused on one problem type is often more effective than a long weekly session that leaves a child mentally drained. It helps to start with one-step questions, then gradually move into two- and three-step problems so confidence builds in layers.

Official materials from GL Assessment can be useful when paired with careful review, while Bond 11+  and other high-quality providers can help families build additional practice around particular skills.

What matters most is not how many questions a child completes, but whether each mistake is properly understood afterwards. That is where the learning sits.

The National Curriculum for England includes fractions, ratios, percentages, and multi-step problem-solving by the end of upper Key Stage 2, which is why these themes appear so often in 11 Plus assessments. Good preparation is therefore not about teaching strange tricks. It is about applying familiar maths in unfamiliar wrappers.

Parents who want to use papers more effectively may also find How to use 11 Plus practice papers properly useful.

Happy family high-fiving in a home office while discussing whether the 11 Plus is right for their child.

How Lionheart Education Builds Word-Problem Fluency

Lionheart Education focuses on diagnosing exactly where a child is losing marks within the problem-solving process.

One child may misunderstand the wording, another may choose the wrong operation, and another may work accurately but miss the final step. Once that weak point is identified, practice becomes targeted and purposeful rather than repetitive.

That is the difference between simply doing more papers and actually improving.

When children learn to decode word problems calmly and methodically, Maths becomes less intimidating, confidence grows, and marks begin to rise in a much more reliable way

FAQ’S

  • Why does my child struggle with 11 Plus Maths word problems?

    Usually, because they begin calculating before fully understanding what is being asked, slowing down at the reading stage often improves the whole process because the child chooses the correct method before starting.

  • What types of word problems appear in the 11 Plus?

    Multi-step multiplication, ratio, fractions of an amount, percentages, time, rate, money and measurement problems all appear regularly across 11 Plus-style Maths papers.

  • How can children solve word problems more quickly?

    They solve them more quickly by recognising the type of problem early, choosing a known method and working through the steps in order. Speed improves when recognition becomes more automatic.

  • How many word problems appear on 11 Plus papers?

    It varies by school, region and exam format, but word problems form a significant part of most 11 Plus Maths papers because they test understanding as well as calculation.

  • How should we practise word problems at home?

    Short, regular practice works best. Focus on one problem type at a time, review mistakes carefully and gradually move from simple one-step questions to layered two-step and three-step problems.

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