Fold the paper, punch a hole, then predict what the sheet looks like opened out.
This engine’s own main skill is Paper Folding. It practises identify line symmetry alongside it.
A punch goes through every layer under it, so the number of holes doubles with each fold: two layers give two holes, four layers give four. When you open the paper, each hole reflects back across the crease it was folded over - so the finished pattern is symmetrical about every crease line, and you can work it out by mirroring backwards, last fold first.
Step 1. Fold. Fold the sheet twice - drag the track or hit the fold button.
Step 2. Punch. Tap a square on the folded stack to punch a hole straight through it.
Step 3. Predict. Before you open it: tap every square you think will have a hole, then press Check.
What to say if they get stuck
Every fold doubles the holes: one punch through two layers makes two holes.
A hole always reappears as a mirror image across the crease you just opened.
Undo the folds in reverse order in your head. Mirror the holes across the last crease first, then mirror EVERYTHING across the crease before it.
Half a rocket is painted. Paint the other half so the mirror line splits it perfectly.
This engine’s own main skill is Symmetry & Reflection. It practises identify line symmetry alongside it.
Reflecting across a vertical mirror keeps every row exactly where it is and only flips the columns: a square three steps left of the mirror lands three steps right of it. That is why the rocket keeps its height but swaps its sides. Distance to the mirror never changes - only the direction does.
What to say if they get stuck
A reflection is not a slide. The cell nearest the mirror on the left maps to the cell nearest the mirror on the right.
Work one row at a time. Count how many squares that row sits from the mirror, then count the same number out the other side.
Press and hold the mirror line - it will show you the reflection for a moment.
How identify line symmetry differs from the skills beside it
The same exercise practises several skills, and telling them apart is often the difficulty rather than the exercise itself. On this page the skill is: identify or complete a reflection across one mirror line, and it stops where excludes rotational symmetry.
Questions parents ask about identify line symmetry
Answered from what the skill map records about this skill, not from a template. Every answer here is on the page, and the same questions are the page's FAQ structured data.
Identify or complete a reflection across one mirror line. It is one of 55 named maths skills in the 11+, in the geometry strand, and this page carries 2 interactive exercises that practise it.
A shape can turn onto itself without having any fold line, so the two counts are not always equal. The wrong answers on this skill are built out of that, not out of random numbers, so it is worth naming out loud before your child meets it under time pressure.
Point at the next move rather than explaining the whole rule. Turn the shape slowly through one full turn and count how many times it looks exactly as it started.
The skill map draws the line here: Excludes rotational symmetry. A question past that line is testing a different named maths skill, which is worth knowing before you spend a week practising the wrong one.
The geometry strand holds 15 skills that are tested together, and the pages next to identify line symmetry are identify a geometric transformation, plot or read a coordinate and preserve measure under a rigid transformation. Each has its own exercise and its own link, and none of them needs an account.
Use Hole-Punch Unfolder and Symmetry Painter, embedded on this page. They are the exercises the skill map attaches to identify line symmetry, they run in the browser with no account to make, nothing is scored, and nothing a child does here is recorded or sent anywhere. Each also has its own link, so you can send one to a child without sending them anywhere else first.
Knowing which maths topic to practise is most of the work
A free diagnostic covers arithmetic, fractions, geometry, measure and data handling, and comes back with the topics to spend the next few weeks on.
