Mental Calculation

  • Which symbol?
    problem
    Favourite

    Which Symbol?

    Age
    7 to 11
    Challenge level
    1 out of 3

    Choose a symbol to put into the number sentence.

  • Multiply Multiples 1
    problem
    Favourite

    Multiply Multiples 1

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

  • Multiply Multiples 2
    problem
    Favourite

    Multiply Multiples 2

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you work out some different ways to balance this equation?

  • Multiply Multiples 3
    problem
    Favourite

    Multiply Multiples 3

    Age
    7 to 11
    Challenge level
    1 out of 3

    Have a go at balancing this equation. Can you find different ways of doing it?

  • Picture Your Method
    problem
    Favourite

    Picture Your Method

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you match these calculation methods to their visual representations?

  • Compare the Calculations
    problem
    Favourite

    Compare the Calculations

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you put these four calculations into order of difficulty? How did you decide?

  • An Easy Way to Multiply by 10?
    problem
    Favourite

    An Easy Way to Multiply by 10?

    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?

  • Digit Discovery
    problem
    Favourite

    Digit Discovery

    Age
    7 to 11
    Challenge level
    1 out of 3

    Here is an interesting property about two sets of digits. Can you work out what the digits might be?

  • Four Go
    problem
    Favourite

    Four Go

    Age
    7 to 11
    Challenge level
    2 out of 3

    This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

  • Climbing Conundrum
    problem
    Favourite

    Climbing Conundrum

    Age
    7 to 14
    Challenge level
    1 out of 3

    Five children are taking part in a climbing competition with three parts, where their score for each part will be multiplied together. Can you see how the leaderboard will change depending on what happens in the final climb of the competition?