For children preparing for independent-school entrance assessments, Maths preparation is about more than completing as many questions as possible.
Strong foundations matter, but so does knowing how to apply them: recognising what a problem is asking, choosing an appropriate method, working accurately and staying calm when a question looks unfamiliar.
Independent schools do not all use the same 11+ assessment, so the exact format and level of difficulty can vary. However, there are several areas of Maths that regularly provide useful foundations for entrance preparation.
Here are seven worth developing.
1. Number & Arithmetic
Secure number skills sit underneath almost everything else.
Children should become increasingly confident with the four operations, place value, factors and multiples, and using number relationships efficiently.
The aim is not simply to calculate quickly. It is to recognise when a calculation makes sense, select an efficient method and check whether an answer is reasonable.
A useful habit is to ask:
Can I solve this in another way?
That small question helps develop flexible mathematical thinking rather than dependence on one memorised method.
2. Fractions, Decimals & Percentages
Fractions, decimals and percentages often become more challenging when several ideas are combined within one problem.
Children may understand how to find a percentage or add two fractions in isolation, but entrance-style questions can require them to decide which operation is needed first.
Focus on helping your child understand the relationships between these forms rather than treating them as completely separate topics.
For example:
How is 0.5 connected to 1/2 and 50%?
What happens when a price increases and then decreases?
Can the answer be estimated before calculating it exactly?
Understanding the underlying relationship makes unfamiliar questions much easier to approach.
3. Ratio & Word Problems
Word problems test more than arithmetic.
Before calculating anything, a child needs to understand the information given, identify what is relevant and work out what the question is actually asking.
Ratio questions are a good example. A child may know how ratios work but still become stuck when the information appears inside a longer scenario.
Encourage children to slow down before reaching for an operation.
Ask:
What do we know? What do we need to find?
Learning to translate words into mathematical relationships is an important part of becoming a confident problem-solver.
4. Algebra & Sequences
At 11+ level, algebra is often less about complicated notation and more about spotting relationships and working logically with unknown values.
Sequences can help children identify patterns, while simple equations encourage them to think about how quantities relate to one another.
Rather than teaching algebra as something mysterious or advanced, it can be introduced as another form of problem-solving.
If a child can explain why a pattern continues in a certain way, they are already developing the reasoning that later algebra requires.
5. Geometry & Measurement
Geometry combines mathematical knowledge with careful reading.
Children may need to work with perimeter, area, angles, shapes, units or measurements — sometimes within questions containing several pieces of information.
Accuracy matters particularly here.
A child who understands the method can still lose marks through using the wrong unit, confusing area with perimeter or overlooking an important dimension.
Drawing or annotating a simple diagram can often make a complicated-looking question much clearer.
6. Statistics & Probability
Mean, simple probability and interpreting information are useful opportunities to practise structured thinking.
Instead of memorising procedures alone, children should understand what the numbers represent.
For example, when finding a mean:
What does the total represent?
How many values are there?
Why are we dividing by that number?
That understanding becomes particularly important when a question reverses the process — perhaps giving the mean and asking the child to work backwards to find a missing value.
7. Logical & Advanced Problem-Solving
Some of the most valuable preparation comes from questions that do not immediately reveal the method.
These questions encourage children to combine different skills, test possibilities and reason their way towards an answer.
They can initially feel uncomfortable — and that is partly the point.
A strong learner does not need to recognise every question instantly. They need strategies for what to do when they do not recognise it.
Useful approaches include:
organising information clearly;
testing a simple case;
drawing a diagram;
working backwards;
eliminating impossible answers;
checking whether the final answer fits all the information given.
The goal is to make unfamiliar problems feel manageable rather than intimidating.
How Should Parents Use 11+ Maths Practice?
More practice is not automatically better practice.
A useful session might involve only a small number of carefully chosen questions if the child then has time to review their thinking.
After a question, try asking:
How did you know what to do?
Was there another way to solve it?
Where did the mistake happen?
What would you look for next time?
This turns practice into learning rather than simply marking answers right or wrong.
It is also useful to mix easier questions with more demanding ones. Secure questions build fluency and confidence; harder questions reveal how a child responds when the route to an answer is less obvious.
Try Our Complimentary 11+ Maths Taster Pack
Want to see how your child approaches these different areas?
Our 11+ Maths Complimentary Taster Pack includes practice across all seven topics, with Foundation, 11+ Standard and Challenge questions alongside answers and worked solutions.
It is designed for pupils in Years 4–6 who are beginning or developing their preparation for UK independent-school entrance assessments.
If your child would benefit from more structured support, Asterclass also offers small-group and one-to-one preparation for independent-school entrance assessments.
