Explaining, convincing and proving

  • Sweetie Box
    problem

    Sweetie Box

    Age
    5 to 11
    Challenge level
    1 out of 3

    Max and Bryony both have a box of sweets. What do you know about the number of sweets they each have?

  • 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?

  • Making Pathways
    problem

    Making Pathways

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you find different ways of creating paths using these paving slabs?

  • Colourful books on curved library shelves.
    game

    Online

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you end up with all the occurrences of the same letter in this two-player game?

  • Cows and Sheep
    problem

    Cows and Sheep

    Age
    7 to 11
    Challenge level
    1 out of 3

    Use your logical reasoning to work out how many cows and how many sheep there are in each field.

  • True or False?
    problem

    True or False?

    Age
    7 to 11
    Challenge level
    1 out of 3

    Without doing lots of calculations, can you decide which of these number sentences are true? How do you know?

  • Unravelling Sequences
    problem

    Unravelling Sequences

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you describe what is happening as this program runs? Can you unpick the steps in the process?

  • Mathdoku
    problem

    Mathdoku

    Age
    7 to 11
    Challenge level
    1 out of 3

    Complete the Mathdoku grid using the clues. Can you convince us that the number you have chosen for each square has to be correct?

  • Triangle in a Square
    problem

    Triangle in a Square

    Age
    7 to 11
    Challenge level
    1 out of 3

    Do you agree with Badger's statements? Is Badger's reasoning watertight? Why or why not?

  • Three white dice on a yellow background.
    problem

    Add 3 Dice

    Age
    7 to 11
    Challenge level
    2 out of 3

    Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do this?