Combinations

  • Colourful craft matchsticks.
    problem

    Move a Match

    Age
    7 to 11
    Challenge level

    How can you arrange these 10 matches in four piles so that when you move one match from three of the piles into the fourth, you end up with the same arrangement?

  • Button-Up Some More
    problem

    Button-Up Some More

    Age
    7 to 11
    Challenge level

    How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

  • Calcunos
    problem

    Calcunos

    Age
    7 to 11
    Challenge level

    If we had 16 light bars which digital numbers could we make? How will you know you've found them all?

  • A glass bowl of cream-coloured ice cream.
    problem

    Ice Cream

    Age
    7 to 11
    Challenge level

    In the café, your ice cream selection can't include a combination that someone else has chosen. What could these seven children have chosen?

  • A row of bungalows with triangular roofs.
    problem

    Penta Place

    Age
    7 to 11
    Challenge level

    Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?

  • On Target
    problem

    On Target

    Age
    7 to 11
    Challenge level
    You have 5 darts and your target score is 44. How many different ways could you score 44?
  • Tetrahedron faces
    problem

    Tetrahedron Faces

    Age
    7 to 11
    Challenge level
    One face of a regular tetrahedron is painted blue and each of the remaining faces are painted using one of the colours red, green or yellow. How many different possibilities are there?
  • Calendar Cubes
    problem

    Calendar Cubes

    Age
    7 to 11
    Challenge level
    Make a pair of cubes that can be moved to show all the days of the month from the 1st to the 31st.
  • Waiting for Blast Off
    problem

    Waiting for Blast Off

    Age
    7 to 11
    Challenge level
    10 space travellers are waiting to board their spaceships. There are two rows of seats in the waiting room. Using the rules, where are they all sitting? Can you find all the possible ways?
  • Wag Worms
    problem

    Wag Worms

    Age
    7 to 11
    Challenge level

    When intergalactic Wag Worms are born they look just like a cube. Each year they grow another cube in any direction. Find all the shapes that five-year-old Wag Worms can be.

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