Logic puzzles for the 11 plus

    Amy, Ben and Cal have a cat, a dog and a fish, one each. Amy does not have the dog or the fish. Ben does not have the dog. Who has what? The rule to remember: let the clues do the work.

    Problem Solving, topic 4 of 4 · 2 minute video

    How to see it

    Use a grid. Put a cross for every no, a tick for every yes. When a row or column has two crosses, the last box is a tick. Then cross out the rest of that row and column. Never guess. Let the clues force the answer.

    A worked example

    Amy: not dog, not fish, so cat. Tick, and cross the rest of the cat column. Ben: not dog, and not cat now, so fish. That leaves the dog for Cal.

    The common mistake: guessing instead of eliminating

    The trap is guessing. Guessing feels quick but it fails the moment the puzzle grows. Another trap is reading "not X" as meaning "must be Y".

    Try one

    A number is a multiple of 7, between 50 and 80, odd, and its digits add up to 9.

    1. A56
    2. B63
    3. C77
    4. D70
    Show the answer

    Right: B, 63

    The odd multiples of 7 in range are 63 and 77, and only 63 has digits adding to 9.

    Try it with your own child

    Kudos asks questions like this every day, works out which mistake is behind each wrong answer, and sets the next questions to put it right.

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