Mental calculations

  • Build it up
    problem
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    Build It Up

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.

  • Buying a Balloon
    problem
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    Buying a Balloon

    Age
    7 to 11
    Challenge level
    1 out of 3

    Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?

  • Highest and Lowest
    problem
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    Highest and Lowest

    Age
    7 to 11
    Challenge level
    1 out of 3

    Put operations signs between the numbers 3, 4, 5 and 6 to make the highest possible number and lowest possible number.

  • Super Shapes
    problem
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    Super Shapes

    Age
    7 to 11
    Challenge level
    1 out of 3

    The value of the circle changes in each of the following problems. Can you discover its value in each problem?

  • A Square of Numbers
    problem
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    A Square of Numbers

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

  • Carrying Cards
    problem
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    Carrying Cards

    Age
    7 to 11
    Challenge level
    1 out of 3

    These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?

  • Shape Times Shape
    problem
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    Shape Times Shape

    Age
    7 to 11
    Challenge level
    1 out of 3

    These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

  • Which symbol?
    problem
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    Which Symbol?

    Age
    7 to 11
    Challenge level
    1 out of 3

    Choose a symbol to put into the number sentence.

  • How do you do it?
    problem
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    How Do You Do It?

    Age
    7 to 11
    Challenge level
    1 out of 3

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

  • Follow the numbers
    problem
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    Follow the Numbers

    Age
    7 to 11
    Challenge level
    1 out of 3

    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.