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?

  • The Number Jumbler
    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, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

  • 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?