Clever Clogs Academy

Cycles, not staircases

The Short Answer

A pattern continuation question carries a repeating pattern on by one more step. The important difference from a series is that a repeating pattern does not grow — it returns to where it started. So the work is finding how long the cycle is, and then counting positions within it, which means the answer has already appeared earlier in the row.

A pattern that comes back round

The distinction worth making first, because it decides how the question is worked:

A series changes by the same amount and keeps going — bigger, further round, one more each time. A staircase.

A repeating pattern returns to where it started. A cycle.

And that has a very practical consequence. In a repeating pattern, the answer has already appeared earlier in the row. You are not constructing a new figure. You are pointing at one that is already there.

Find the cycle first

Look for the first figure that appears twice, and count how far apart the two copies are. That distance is the length of the cycle.

Most are two, three or four long.

Once you have it, the question turns into counting. If the cycle is three and the gap is the seventh box, then the gap holds the same figure as the fourth — and as the first.

Two cycles at once

The harder version runs two cycles of different lengths at the same time — the shape cycling every three, the shading every two.

They come back into step only occasionally, which is exactly what makes the row look irregular when it is nothing of the kind.

The method does not change: solve one cycle, ignore it completely, solve the other, then combine.

The free check

Before committing: has this figure appeared earlier in the row?

If it hasn't, one of two things is true — the cycle length is wrong, or this is not a repeating pattern at all and should be treated as a series.

Two seconds, and it catches the commonest error on the type.

Where do pupils lose marks?

Treating a cycle as a staircase, and continuing to grow something that should have reset.

Getting the cycle length wrong, usually by one, which puts every subsequent position out.

Losing count along a long row, which numbering the boxes prevents.

Missing the second cycle when two are running at different lengths.

How can we practise this at home?

Beads, bricks, buttons, anything in a line. Lay out a repeating pattern, cover one, and ask what is underneath — then ask how they know, because "it's the same as that one" is the right answer and the whole idea.

Then make one with two cycles at once — colour repeating every two, shape every three — and watch the moment a child realises the row is not as complicated as it looks.

Free: a Non-Verbal Reasoning workbook

Questions across the Non-Verbal Reasoning question types, with the method printed at the top and full answers at the back. One workbook for the whole strand, not a sheet per question type.

Frequently Asked Questions

How is a repeating pattern different from a series?

A series changes by the same amount each step and keeps going — bigger, or further round, or one more each time. A repeating pattern comes back to where it started. That difference matters practically: in a repeating pattern the answer has already appeared earlier in the row, so once you know the cycle length you can point at the figure that matches rather than construct one.

How do you find the length of the cycle?

Look for the first figure that appears twice, and count how far apart the two copies are. That distance is the cycle. Most are two, three or four long. Once you have it, the question becomes counting: if the cycle is three and the gap is the seventh box, the gap holds the same figure as the fourth and the first.

What makes the harder versions hard?

Two cycles of different lengths running at the same time — the shape cycling every three and the shading every two, for instance. They only line up again occasionally, which is what makes the row look irregular when it isn't. The answer is the same as ever: solve one cycle, ignore it, solve the other, then combine.

What is the free check on this type?

That the answer is already on the page. If your chosen figure has not appeared earlier in the row, either the cycle length is wrong or the pattern is not a repeating one at all. That check costs a couple of seconds and catches the commonest error, which is treating a cycle as though it were a staircase.

Topics

Sources

  • GL Assessment — 11+ familiarisation materials and question type descriptions Published 2025.
  • Clever Clogs Academy — our own Year 4 and Year 5 lesson records, Winslow Published September 2025 to July 2026.

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