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Logic clues

Strategy card

Valid reasoning follows the form, not the topic.

  1. Step 1: Translate statements into a simple form (If P then Q).
  2. Step 2: Know the valid moves: P → Q and P gives Q; P → Q and not Q gives not P.
  3. Step 3: Watch for traps: Q does not prove P; not P does not prove not Q.
  4. Step 4: Ignore whether the made-up facts sound real; just follow the logic.

Tip: Swapping in nonsense words helps you focus on the form.

Worked example

In a secret code, LAMP is written as JYKN. How is DESK written in the same code?

  • A: CDRJ
  • B: ABPH
  • C: BCQI (the answer)
  • D: FGUM
  • E: IQCB

Why: Each letter moves 2 earlier in the alphabet (L → J). So DESK becomes BCQI.

Your turn

Your turn 1 of 3

Who is the shortest?

Ella is taller than Pia.

Ella is shorter than Hugo.

Cleo is taller than Hugo.

Pia is taller than Dev.

Your turn 2 of 3

Who is the second tallest?

Ben is shorter than Ella.

Dev is taller than Ella.

Milo is shorter than Ben.

Kai is shorter than Milo.

Your turn 3 of 3

These are made-up words. If both statements are true, which must also be true?

All trells are zorns.

All zorns are mivs.

Keep practicing

Grown-ups: Spot "if-then" reasoning in ads and the news together. Parent guide

Next lesson: Reading charts and tables