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Non-verbal Reasoning · Layer

Combine visual layers

Predict the visible result of superimposing two simple layers.

Free to use and free to share. There is no sign-up, no score, and nothing a child does here is recorded or sent anywhere.

Practise it now

Half a rocket is painted. Paint the other half so the mirror line splits it perfectly.

This exercise practises combine visual layers alongside its own main skill, Symmetry & Reflection.

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A worked example

One question of the kind this skill is tested with, worked all the way through: the reasoning, and what the wrong answers are there to catch.

What shows through when two layers stack

When the two layers are stacked, which quarters end up shaded?

Two square tiles laid exactly on top of each other. Each tile is divided into four quarters, and each tile is see-through except where it is shaded.

  • Layer one is shaded in the top-left quarter and the bottom-right quarter.
  • Layer two is shaded in the top-left quarter and the top-right quarter.
  1. The top-left, the top-right and the bottom-right are shaded; the bottom-left stays clear
  2. Only the top-left is shaded; the other three stay clear
  3. The top-right and the bottom-right are shaded; the other two stay clear
  4. All four quarters end up shaded

Answer: The top-left, the top-right and the bottom-right are shaded; the bottom-left stays clear

How you get there

The tiles are see-through except where they are shaded, so a quarter comes out shaded if EITHER layer shades it, and comes out clear only if neither does. Take them one at a time. Top-left: shaded on both, so shaded. Top-right: shaded on layer two only, so shaded. Bottom-right: shaded on layer one only, so shaded. Bottom-left: shaded on neither, so clear.

Why the other answers tempt

"Only the top-left is shaded" is what you get by keeping just the parts the two layers have in common. Stacking is not matching: a mark on one layer only is still there, because the other layer is see-through and hides nothing.

If they are stuck, say this

Work through one region at a time and say out loud whether each layer shades it. Only a region that neither layer touches comes out clear.

Now do it live in Symmetry Painter

What this exercise is doing

Symmetry Painter

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 combine visual layers 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

  1. A reflection is not a slide. The cell nearest the mirror on the left maps to the cell nearest the mirror on the right.
  2. 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.
  3. Press and hold the mirror line - it will show you the reflection for a moment.

Open Symmetry Painter on its own page to share it

How combine visual layers 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: predict the visible result of superimposing two simple layers, and it stops where occlusion rule must be inferable or stated.

Questions parents ask about combine visual layers

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.

Predict the visible result of superimposing two simple layers. It is one of 22 named non-verbal reasoning skills in the 11+, in the layer strand, and this page carries 1 interactive exercise that practises it.

Non-verbal reasoning is the paper families most often leave until last

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