Using Visual Models for 11 Plus Mirror Questions
1 November 2026

Visual models for mirror questions
Mirror questions (spiegelvragen) are common in 11 plus maths. They often ask children to reflect or reverse numbers, shapes or patterns. Many children find these questions tricky when they try to solve them in their heads alone.
Key insight: Using visual models helps children see the problem clearly, making abstract ideas more concrete and less confusing.


Why visual models work
Visual models such as number lines, grids or bar models give children a way to organise their thinking. They help break down each step, so children can spot patterns and avoid mistakes. For mirror questions, drawing the numbers or shapes can show exactly how the reflection works.
How to use a number line for a mirror question
Suppose the question is: "Mirror the number 27 around the midpoint 25. What is the result?"
First, draw a number line and mark the midpoint (25). Place 27 to the right of 25.
Count how far 27 is from 25. 27 - 25 = 2. So, 27 is 2 steps to the right.
To find the mirror image, count 2 steps to the left of 25. 25 - 2 = 23.
The mirrored number is 23.


Worked example
Mirror the number 27 around 25 using a number line
Draw a number line with 25 in the centre
Mark 27 two steps to the right of 25
Count two steps to the left of 25: 23
The correct answer is 23.
Tips for parents
Encourage your child to draw the problem, even if it feels simple. Use objects like counters, cubes or strips of paper if they prefer something hands-on. Talk through each step and ask your child to explain their thinking out loud. This helps spot misunderstandings early.


Why visual models matter for mirror questions
Visual models take the guesswork out of mirror problems. They allow children to check their work and build confidence. Over time, this approach makes tackling all sorts of 11 plus maths questions less daunting.


