Being curious

  • Isometric Areas
    problem
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    Isometric Areas

    Age
    11 to 14
    Challenge level
    1 out of 3

    We usually use squares to measure area, but what if we use triangles instead?

  • Pocket money
    problem
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    Pocket Money

    Age
    11 to 14
    Challenge level
    1 out of 3

    Which of these pocket money systems would you rather have?

  • Climbing Complexity
    problem
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    Climbing Complexity

    Age
    11 to 14
    Challenge level
    1 out of 3

    In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?

  • Days and Dates
    problem
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    Days and Dates

    Age
    11 to 14
    Challenge level
    1 out of 3

    Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

  • Blue and White
    problem
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    Blue and White

    Age
    11 to 14
    Challenge level
    1 out of 3

    Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?

  • Largest product
    problem
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    Largest Product

    Age
    11 to 14
    Challenge level
    1 out of 3

    Which set of numbers that add to 100 have the largest product?

  • Reflecting Squarely
    problem
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    Reflecting Squarely

    Age
    11 to 14
    Challenge level
    1 out of 3

    In how many ways can you fit all three pieces together to make shapes with line symmetry?

  • Shady Symmetry
    problem
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    Shady Symmetry

    Age
    11 to 14
    Challenge level
    1 out of 3

    How many different symmetrical shapes can you make by shading triangles or squares?

  • Special Numbers
    problem
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    Special Numbers

    Age
    11 to 14
    Challenge level
    1 out of 3

    My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

  • Tilted Squares
    problem
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    Tilted Squares

    Age
    11 to 14
    Challenge level
    1 out of 3

    It's easy to work out the areas of most squares that we meet, but what if they were tilted?