Find the rule in a figure series

Check one property at a time until you find the one that moves.

Check one thing at a time

?
Only the dot moves. Everything else holds still.

Each panel is built from five things: how many triangles there are, how big they are, whether they are filled, which way they point, and where the dot sits.

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Read the four panels once for each of the five. Most of them will not move. The one that does is the rule.

In this series the dot moves one place clockwise: the top, the top right, the right, the bottom right. Count, size, fill and direction hold still. So the fifth panel has the dot at the bottom, and everything else stays as it is.

The dot does not always move one place. Work out the step from the panels each time.

1Count the triangles across the four panels.

2Do the same for size, fill, direction and the dot.

3Take the option that carries the rule one step further.

Lesson help

Name what moves before you look at the answers.

About this lesson

Try the method in a practice when you are ready.

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Check one thing at a time

Each panel is built from five things: how many triangles there are, how big they are, whether they are filled, which way they point, and where the dot sits.

Read the four panels once for each of the five. Most of them will not move. The one that does is the rule.

In this series the dot moves one place clockwise: the top, the top right, the right, the bottom right. Count, size, fill and direction hold still. So the fifth panel has the dot at the bottom, and everything else stays as it is.

The dot does not always move one place. Work out the step from the panels each time.

1Count the triangles across the four panels.

2Do the same for size, fill, direction and the dot.

3Take the option that carries the rule one step further.

?
Only the dot moves. Everything else holds still.

A series that turns

These four panels each hold one triangle. The count holds still at one. The size holds still. The fill holds still. The dot holds still at the left.

The triangle turns. Panel 1 points up. Panel 2 points up and right. Panel 3 points right. Panel 4 points down and right. That is 45 degrees clockwise each time.

Another 45 degrees clockwise from down and right points down, so panel 5 holds one filled triangle pointing down, with the dot still at the left.

With quarter turns, panel 5 would look exactly like panel 1, so the practice adds a second change to keep the rule clear.

?
Up, up and right, right, down and right. 45 degrees clockwise each time.

Two things at once

On some boards two of the five move together and the other three hold still. This board is one of those.

The dot moves one place clockwise. Now read the fill across the four panels, and work out what the fifth panel does.

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Four panels. Two of the five things are moving.

Try it

Is the fifth panel filled or outlined?

  1. Filled
  2. Outlined
Show the answer

Filled

The fill changes every panel: filled, outlined, filled, outlined. One more change makes the fifth panel filled.

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