Multiplication and division

  • The Number Crunching Machine
    problem

    The Number Crunching Machine

    Age
    7 to 11
    Challenge level

    Put a number at the top of the machine and collect a number at the bottom. What do you get? Which numbers get back to themselves?

  • 1, 2, 3, 4, 5
    problem

    1, 2, 3, 4, 5

    Age
    7 to 11
    Challenge level

    Using the numbers 1, 2, 3, 4 and 5 once and only once, and the operations x and ÷ once and only once, what is the smallest whole number you can make?

  • Clever Santa
    problem

    Clever Santa

    Age
    7 to 11
    Challenge level

    All the girls would like a puzzle each for Christmas and all the boys would like a book each. Solve the riddle to find out how many puzzles and books Santa left.

  • Function Machines
    problem

    Function Machines

    Age
    7 to 11
    Challenge level

    If the numbers 5, 7 and 4 go into this function machine, what numbers will come out?

  • Number the Sides
    problem

    Number the Sides

    Age
    7 to 11
    Challenge level

    The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?

  • Rabbits in the pen
    problem

    Rabbits in the Pen

    Age
    7 to 11
    Challenge level

    Using the statements, can you work out how many of each type of rabbit there are in these pens?

  • Bundles of Cubes
    problem

    Bundles of Cubes

    Age
    7 to 11
    Challenge level

    Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?

  • Ducking and Dividing
    game

    Ducking and Dividing

    Age
    7 to 11
    Challenge level

    Your vessel, the Starship Diophantus, has become damaged in deep space. Can you use your knowledge of times tables and some lightning reflexes to survive?

  • Napier's Bones
    problem

    Napier's Bones

    Age
    7 to 11
    Challenge level

    The Scot, John Napier, invented these strips about 400 years ago to help calculate multiplication and division. Can you work out how to use Napier's bones to find the answer to these multiplications?

  • Sometimes we lose things
    problem

    Sometimes We Lose Things

    Age
    7 to 11
    Challenge level

    Well now, what would happen if we lost all the nines in our number system? Have a go at writing the numbers out in this way and have a look at the multiplications table.

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