Exploring and noticing

  • Number Families
    problem
    Favourite

    Number families

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

    How many different number families can you find?

  • Odds, Evens and More Evens
    problem
    Favourite

    Odds, evens and more evens

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

    Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

  • Sieve of Eratosthenes
    problem
    Favourite

    Sieve of Eratosthenes

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

    Follow this recipe for sieving numbers and see what interesting patterns emerge.

  • Can they be equal?
    problem
    Favourite

    Can they be equal?

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

    Can you find rectangles where the value of the area is the same as the value of the perimeter?

  • Olympic Records
    problem
    Favourite

    Olympic records

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

    Can you deduce which Olympic athletics events are represented by the graphs?

  • Summing Consecutive Numbers
    problem
    Favourite

    Summing consecutive numbers

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

    15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

  • Magic Letters
    problem
    Favourite

    Magic letters

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

    Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

  • Fence it
    problem
    Favourite

    Fence it

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

    If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

  • Strange Bank Account
    problem
    Favourite

    Strange bank account

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

    Imagine a very strange bank account where you are only allowed to do two things...

  • Up, down, flying around
    game
    Favourite

    Up, down, flying around

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

    Play this game to learn about adding and subtracting positive and negative numbers