Creating and manipulating expressions and formulae

  • Price Match
    problem
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    Price Match

    Age
    7 to 11
    Challenge level
    2 out of 3

    Can you find pairs of differently sized windows that cost the same?

  • Finding 3D Stacks
    problem
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    Finding 3D Stacks

    Age
    7 to 11
    Challenge level
    3 out of 3

    Can you find a way of counting the spheres in these arrangements?

  • Your number is...
    problem
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    Your Number Is...

    Age
    7 to 14
    Challenge level
    1 out of 3

    Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?

  • Orange lottery balls in a spinning cage.
    problem
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    The Number Jumbler

    Age
    7 to 14
    Challenge level
    1 out of 3

    The Number Jumbler can always work out your chosen symbol. Can you work out how?

  • Diagonal Sums
    problem
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    Diagonal Sums

    Age
    7 to 14
    Challenge level
    2 out of 3

    In this 100 square, what is the sum of the numbers that are diagonally opposite each other?

  • Special Numbers
    problem
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    Special Numbers

    Age
    11 to 14
    Challenge level
    1 out of 3

    My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

  • Crossed Ends
    problem
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    Crossed Ends

    Age
    11 to 14
    Challenge level
    1 out of 3

    Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?

  • How much can we spend?
    problem
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    How Much Can We Spend?

    Age
    11 to 14
    Challenge level
    1 out of 3

    A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

  • Your number was...
    problem
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    Your Number Was...

    Age
    11 to 14
    Challenge level
    1 out of 3

    Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?

  • Perimeter Expressions
    problem
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    Perimeter Expressions

    Age
    11 to 14
    Challenge level
    1 out of 3

    Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?