Mental calculations

  • Placeholder: several colourful numbers
    list

    Playing with numbers

    Age
    5 to 7
    All these activities use adding and taking away. Can you spot the connections?
  • Ordering cards
    problem

    Ordering cards

    Age
    5 to 11
    Challenge level
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    This problem is designed to help children to learn, and to use, the two and three times tables.

  • How do you see it?
    problem

    How do you see it?

    Age
    5 to 11
    Challenge level
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    Here are some short problems for you to try. Talk to your friends about how you work them out.

  • problem

    Fifteen cards

    Age
    7 to 11
    Challenge level
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    Can you use the information to find out which cards I have used?

  • Can you Make 100?
    problem

    Can you make 100?

    Age
    11 to 14
    Challenge level
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    How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

  • missing multipliers
    problem

    Missing multipliers

    Age
    7 to 14
    Challenge level
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    What is the smallest number of answers you need to reveal in order to work out the missing headers?

  • Journeys in Numberland
    problem

    Journeys in Numberland

    Age
    7 to 11
    Challenge level
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    Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

  • problem

    Pairs of numbers

    Age
    5 to 7
    Challenge level
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    If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?

  • Follow the numbers
    problem

    Follow the numbers

    Age
    7 to 11
    Challenge level
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    What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

  • How do you do it?
    problem

    How do you do it?

    Age
    7 to 11
    Challenge level
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    This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.