Exploring and noticing

  • Strike it out
    game

    Strike It Out for Two

    Age
    5 to 11
    Challenge level
    1 out of 3

    Strike it Out game for an adult and child. Can you stop your partner from being able to go?

  • Counting Stick Conjectures
    problem

    Counting Stick Conjectures

    Age
    5 to 11
    Challenge level
    1 out of 3

    How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?

  • Month Mania
    problem

    Month Mania

    Age
    5 to 11
    Challenge level
    2 out of 3

    Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?

  • Taking a Die for a Walk
    problem

    Taking a Die for a Walk

    Age
    5 to 11
    Challenge level
    2 out of 3

    Investigate the numbers that come up on a die as you roll it in the direction of north, south, east and west, without going over the path it's already made.

  • A blue train carriage against a blue sky.
    problem

    Train Carriages

    Age
    5 to 11
    Challenge level
    2 out of 3

    Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?

  • A circle split into quarters coloured red, blue, green and orange.
    problem

    Four Colours

    Age
    5 to 11
    Challenge level
    2 out of 3

    Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.

  • Junior Frogs
    problem

    Junior Frogs

    Age
    5 to 11
    Challenge level
    2 out of 3

    Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?

  • Count Me In
    problem

    Count Me In

    Age
    7 to 11
    Challenge level
    1 out of 3

    How do you know whether you will reach these numbers when you count in steps of six from zero?

  • Sliding Game
    game

    Sliding Game

    Age
    7 to 11
    Challenge level
    1 out of 3

    A shunting puzzle for 1 person. Swap the positions of the counters at the top and bottom of the board.

  • Sending Cards
    problem

    Sending Cards

    Age
    7 to 11
    Challenge level
    1 out of 3

    This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?