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What comes next?

Strategy card

Sequences of figures follow transformations, often several at once and sometimes alternating.

  1. Step 1: Separate the features and track each one across the sequence.
  2. Step 2: Look for alternating or cycling rules, not only steady ones.
  3. Step 3: State the rule set, then generate the next term yourself.
  4. Step 4: Use elimination on the options that break any rule.

Tip: If two rules seem to fight, check whether one applies only every other step.

Worked example

Which figure comes next in the pattern?

green arrow pointing up
red arrow pointing down-right
purple arrow pointing left
green arrow pointing up-right
red arrow pointing down
purple arrow pointing up-left
question mark, the missing picture?
  • A: green arrow pointing up-right
  • B: purple arrow pointing right
  • C: green arrow pointing right (the answer)
  • D: green arrow pointing up-left
  • E: red arrow pointing right

Why: The arrow turns three eighths of a turn clockwise each step. The color repeats green, red, purple, again and again. So next comes the green arrow pointing right.

Your turn

Your turn 1 of 3

Which figure comes next in the pattern?

small purple arrow pointing right
2 purple arrows pointing up-left
3 big purple arrows pointing down
4 small purple arrows pointing up-right
purple arrow pointing left
2 big purple arrows pointing down-right
question mark, the missing picture?

Your turn 2 of 3

Which figure comes next in the pattern?

small blue arrow pointing left
green arrow pointing up-right
big red arrow pointing down
small blue arrow pointing up-left
green arrow pointing right
big red arrow pointing down-left
question mark, the missing picture?

Your turn 3 of 3

Which figure comes next in the pattern?

red arrow pointing up
2 green arrows pointing up-left
3 blue arrows pointing left
4 red arrows pointing down-left
green arrow pointing down
2 blue arrows pointing down-right
question mark, the missing picture?

Keep practicing

Grown-ups: Ask how they'd explain the rule to a younger sibling. Parent guide

Next lesson: Analogies: find the link