Addition and subtraction

  • problem
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    Three Neighbours

    Age
    7 to 14
    Challenge level
    2 out of 3

    Take three consecutive numbers and add them together. What do you notice?

  • Cubes within Cubes
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    Cubes Within Cubes

    Age
    7 to 14
    Challenge level
    3 out of 3

    We start with one yellow cube and build around it to make a 3×3×3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?

  • 5 by 5 Mathdokus
    problem
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    5 by 5 Mathdokus

    Age
    7 to 16
    Challenge level
    1 out of 3

    Can you use the clues to complete these 5 by 5 Mathematical Sudokus?

  • Two and Two
    problem
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    Two and Two

    Age
    7 to 16
    Challenge level
    3 out of 3

    How many solutions can you find to this sum? Each of the different letters stands for a different number.

  • Some old-fashioned cinema tickets.
    problem
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    Cinema Problem

    Age
    11 to 14
    Challenge level
    1 out of 3

    A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?

  • Consecutive Seven
    problem
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    Consecutive Seven

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

  • 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?

  • Can you Make 100?
    problem
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    Can You Make 100?

    Age
    11 to 14
    Challenge level
    1 out of 3

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

  • Number Pyramids
    problem
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    Number Pyramids

    Age
    11 to 14
    Challenge level
    1 out of 3

    Try entering different sets of numbers in the number pyramids. How does the total at the top change?

  • Summing Consecutive Numbers
    problem
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    Summing Consecutive Numbers

    Age
    11 to 14
    Challenge level
    1 out of 3

    15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?