Being collaborative

  • Chances are
    problem

    Chances are

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    Which of these games would you play to give yourself the best possible chance of winning a prize?

  • In a box
    problem

    In a box

    Age
    14 to 16
    Challenge level
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    Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

  • CD Heaven
    problem

    CD Heaven

    Age
    14 to 16
    Challenge level
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    All CD Heaven stores were given the same number of a popular CD to sell for £24. In their two week sale each store reduces the price of the CD by 25% ... How many CDs did the store sell at each price?

  • Exploring cubic functions
    problem

    Exploring cubic functions

    Age
    14 to 18
    Challenge level
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    Quadratic graphs are very familiar, but what patterns can you explore with cubics?

  • American Billions
    problem

    American billions

    Age
    11 to 14
    Challenge level
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    Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...

  • Two and Two
    problem

    Two and two

    Age
    7 to 16
    Challenge level
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    How many solutions can you find to this sum? Each of the different letters stands for a different number.

  • Why 24?
    problem

    Why 24?

    Age
    14 to 16
    Challenge level
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    Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.

  • Dozens
    problem

    Dozens

    Age
    7 to 14
    Challenge level
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    Can you select the missing digit(s) to find the largest multiple?

  • Have you got it?
    problem

    Have you got it?

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Can you explain the strategy for winning this game with any target?

  • Three cubes
    problem

    Three cubes

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    Can you work out the dimensions of the three cubes?