Being curious

  • Halving
    problem

    Halving

    Age
    5 to 7
    Challenge level
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    These pictures show squares split into halves. Can you find other ways?

  • Largest product
    problem

    Largest product

    Age
    11 to 14
    Challenge level
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    Which set of numbers that add to 100 have the largest product?

  • Think of Two Numbers
    problem

    Think of two numbers

    Age
    11 to 14
    Challenge level
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    Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

  • Square Corners
    problem

    Square corners

    Age
    7 to 11
    Challenge level
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    What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

  • problem

    Multiplication squares

    Age
    7 to 11
    Challenge level
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    Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

  • problem

    One wasn't square

    Age
    7 to 11
    Challenge level
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    Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.

  • In the Money
    problem

    In the money

    Age
    7 to 11
    Challenge level
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    One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?

  • Shapes on the Playground
    problem

    Shapes on the playground

    Age
    7 to 11
    Challenge level
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    Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

  • What's it worth?
    problem

    What's it worth?

    Age
    11 to 16
    Challenge level
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    There are lots of different methods to find out what the shapes are worth - how many can you find?

  • Twenty Divided into Six
    problem

    Twenty divided into six

    Age
    7 to 11
    Challenge level
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    Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?