Exploring and noticing

  • Number Squares
    problem

    Number squares

    Age
    5 to 11
    Challenge level
    filled star empty star empty star
    Start with four numbers at the corners of a square and put the total of two corners in the middle of that side. Keep going... Can you estimate what the size of the last four numbers will be?
  • Stairs
    problem

    Stairs

    Age
    5 to 11
    Challenge level
    filled star empty star empty star
    This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.
  • I'm Eight
    problem
    Favourite

    I'm eight

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

    Find a great variety of ways of asking questions which make 8.

  • Lawn Border
    problem

    Lawn border

    Age
    5 to 11
    Challenge level
    filled star empty star empty star
    If I use 12 green tiles to represent my lawn, how many different ways could I arrange them? How many border tiles would I need each time?
  • Street Sequences
    problem

    Street sequences

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

    Investigate what happens when you add house numbers along a street in different ways.

  • Growing Garlic
    problem
    Favourite

    Growing garlic

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

    Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

  • problem
    Favourite

    Venn diagrams

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

    How will you complete these interactive Venn diagrams?

  • Strike it out
    problem
    Favourite

    Strike it out

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

    Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

  • Jig Shapes
    problem
    Favourite

    Jig shapes

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

    Can you each work out what shape you have part of on your card? What will the rest of it look like?

  • It's a Fence!
    problem

    It's a fence!

    Age
    5 to 11
    Challenge level
    filled star empty star empty star
    In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.