Exploring and noticing

  • Sieve of Eratosthenes
    problem

    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.

  • Odds, Evens and More Evens
    problem

    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...

  • Junior Frogs
    problem

    Junior frogs

    Age
    5 to 11
    Challenge level
    filled star filled star empty star
    Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
  • Order, Order!
    problem

    Order, order!

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

    Can you place these quantities in order from smallest to largest?

  • Discuss and Choose
    problem

    Discuss and choose

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

    This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

  • Cubic roots
    problem

    Cubic roots

    Age
    16 to 18
    Challenge level
    filled star empty star empty star

    Find the location of the point of inflection of this cubic.

  • Carroll Diagrams
    problem

    Carroll diagrams

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

    Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

  • Seeing Squares
    problem

    Seeing squares

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

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

  • Number Families
    problem

    Number families

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

    How many different number families can you find?

  • Fractions Rectangle
    problem

    Fractions rectangle

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

    The large rectangle is divided into quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?