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Logical reasoning

Brain games: a playful way to reason

Try a pattern, explain a choice and look for a different approach. These activities practise reasoning; they do not measure intelligence or promise an IQ improvement.

Find a rule and test it

For 2, 5, 8, 11, one simple rule is “add 3 each time.” Check the rule on every shown step before using it to predict the next number.

A short pattern can fit more than one rule. In everyday practice, explain the simple rule you chose rather than assuming there can never be another answer.

Use evidence, not a guess about everything

If every square has four sides, it follows that a particular square has four sides. It does not follow that every shape with four sides must be a square. A rectangle is a useful counterexample.

For an offline memory activity, place four familiar objects on a tray. Look together, cover the tray and recall the objects. Adjust the number to suit the learner; avoid scoring or comparison between children.

Try the questions

No timer, account or saved answers. Choose an option to see an explanation.

1. Using “add 3,” what follows 2, 5, 8, 11?

Choose an answer.

2. All squares have four sides. Which must be true?

Choose an answer.

3. Which belongs with spoon and fork?

Choose an answer.

Printable practice

Write your answer and explain your thinking. Answers appear on a separate printed page.

  1. Using “add 3,” what follows 2, 5, 8, 11?

    12 · 14 · 22

  2. All squares have four sides. Which must be true?

    Every four-sided shape is a square · A square has four sides · All shapes are squares

  3. Which belongs with spoon and fork?

    Plate · Cloud · Mountain

Answer key and explanations
  1. 14 — 11 + 3 = 14. The same rule fits each earlier step.
  2. A square has four sides — This repeats the given fact without making a broader unsupported claim.
  3. Plate — Plate is also used for serving or eating food.