Year 8 Being resourceful

  • Shapely pairs
    problem
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    Shapely Pairs

    Age
    11 to 14
    Challenge level
    2 out of 3

    A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

  • Factors and Multiples Puzzle
    problem
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    Factors and Multiples Puzzle

    Age
    11 to 14
    Challenge level
    2 out of 3

    Using your knowledge of the properties of numbers, can you fill all the squares on the board?

  • Weights
    problem
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    Weights

    Age
    11 to 14
    Challenge level
    2 out of 3

    Different combinations of the weights available allow you to make different totals. Which totals can you make?

  • All in a jumble
    problem
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    All in a Jumble

    Age
    11 to 14
    Challenge level
    2 out of 3

    My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.

  • Always a multiple?
    problem
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    Always a Multiple?

    Age
    11 to 14
    Challenge level
    2 out of 3

    Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

  • Who's the best?
    problem
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    Who's the Best?

    Age
    11 to 14
    Challenge level
    2 out of 3

    Which countries have the most naturally athletic populations?

  • Changing areas, changing volumes
    problem
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    Changing Areas, Changing Volumes

    Age
    11 to 14
    Challenge level
    2 out of 3

    How can you change the surface area of a cuboid but keep its volume the same? How can you change the volume but keep the surface area the same?

  • Seven Squares
    problem
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    Seven Squares

    Age
    11 to 14
    Challenge level
    2 out of 3

    Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

  • More Isometric Areas
    problem
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    More Isometric Areas

    Age
    11 to 14
    Challenge level
    2 out of 3

    Isometric Areas explored areas of parallelograms in triangular units. Here we explore areas of triangles...

  • Four playing cards on top of each other. Each card shows a different ace.
    problem
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    Snappy Statements

    Age
    11 to 14
    Challenge level
    2 out of 3

    Use properties of numbers to work out whether you can satisfy all these statements at the same time.

  • Charlie's delightful machine
    problem
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    Charlie's Delightful Machine

    Age
    11 to 16
    Challenge level
    1 out of 3

    Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

  • Multiple Surprises
    problem
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    Multiple Surprises

    Age
    11 to 16
    Challenge level
    1 out of 3

    Sequences of multiples keep cropping up...

  • A blue map of electronic connections between people.
    problem
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    Connecting Averages

    Age
    11 to 16
    Challenge level
    1 out of 3

    The number in the square is the mean of the four numbers surrounding it. Can you find the missing numbers? 

  • Searching for mean(ing)
    problem
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    Searching for Mean(ing)

    Age
    11 to 16
    Challenge level
    2 out of 3

    If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

  • Cuboid challenge
    problem
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    Cuboid Challenge

    Age
    11 to 16
    Challenge level
    2 out of 3

    What's the largest volume of box you can make from a square of paper?

  • Robotic Rotations
    problem
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    Robotic Rotations

    Age
    11 to 16
    Challenge level
    2 out of 3

    How did the the rotation robot make these patterns?

  • Rhombus It
    problem
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    Rhombus It

    Age
    11 to 16
    Challenge level
    2 out of 3

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

  • crossing the bridge
    problem
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    Crossing the Bridge

    Age
    11 to 18
    Challenge level
    2 out of 3

    Four friends must cross a bridge. How can they all cross it in just 17 minutes?