Exploring and noticing

  • problem

    The Brown family

    Age
    5 to 7
    Challenge level
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    Use the information about Sally and her brother to find out how many children there are in the Brown family.

  • Eggs in Baskets
    problem

    Eggs in baskets

    Age
    5 to 7
    Challenge level
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    There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?

  • The Pied Piper of Hamelin
    problem

    The Pied Piper of Hamelin

    Age
    7 to 11
    Challenge level
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    This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

  • Magic triangle
    problem

    Magic triangle

    Age
    7 to 11
    Challenge level
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    Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.
  • Arrange the Digits
    problem

    Arrange the digits

    Age
    11 to 14
    Challenge level
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    Can you arrange the digits 1,2,3,4,5,6,7,8,9 into three 3-digit numbers such that their total is close to 1500?
  • Three by One
    problem

    Three by one

    Age
    16 to 18
    Challenge level
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    There are many different methods to solve this geometrical problem - how many can you find?

  • Hexy-Metry
    problem

    Hexy-metry

    Age
    14 to 16
    Challenge level
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    A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?

  • Make 37 Poster
    problem

    Make 37

    Age
    5 to 11
    Challenge level
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    Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

  • 1, 2, 3, 4, 5
    problem

    1, 2, 3, 4, 5

    Age
    7 to 11
    Challenge level
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    Using the numbers 1, 2, 3, 4 and 5 once and only once, and the operations x and ÷ once and only once, what is the smallest whole number you can make?
  • Let Us Reflect
    problem

    Let us reflect

    Age
    7 to 11
    Challenge level
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    Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?