Being resourceful

  • Baravelle
    problem
    Favourite

    Baravelle

    Age
    7 to 16
    Challenge level
    2 out of 3

    What can you see? What do you notice? What questions can you ask?

  • Two and Two
    problem
    Favourite

    Two and Two

    Age
    7 to 16
    Challenge level
    3 out of 3

    How many solutions can you find to this sum? Each of the different letters stands for a different number.

  • Pocket money
    problem
    Favourite

    Pocket Money

    Age
    11 to 14
    Challenge level
    1 out of 3

    Which of these pocket money systems would you rather have?

  • Quadrilaterals game
    game
    Favourite

    Quadrilaterals Game

    Age
    11 to 14
    Challenge level
    1 out of 3

    A game for 2 or more people, based on the traditional card game Rummy.

  • A green frog.
    problem
    Favourite

    Frogs

    Age
    11 to 14
    Challenge level
    1 out of 3

    How many moves does it take to swap over some red and blue frogs? Do you have a method?

  • Shady Symmetry
    problem
    Favourite

    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?

  • Consecutive Seven
    problem
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    Consecutive Seven

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

  • Isosceles Triangles
    problem
    Favourite

    Isosceles Triangles

    Age
    11 to 14
    Challenge level
    1 out of 3

    Draw some isosceles triangles with an area of $9cm^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

  • Odds and Evens
    problem
    Favourite

    Odds and Evens

    Age
    11 to 14
    Challenge level
    1 out of 3

    Are these games fair? How can you tell?