Year 8 Being collaborative

  • Method in multiplying madness?
    problem
    Favourite

    Method in Multiplying Madness?

    Age
    7 to 14
    Challenge level
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    Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

  • An American flag waving in the wind.
    problem
    Favourite

    American Billions

    Age
    11 to 14
    Challenge level
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    Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...

  • Fence it
    problem
    Favourite

    Fence It

    Age
    11 to 14
    Challenge level
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    If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

  • Isosceles Triangles
    problem
    Favourite

    Isosceles Triangles

    Age
    11 to 14
    Challenge level
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    Draw some isosceles triangles with an area of $9cm^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

  • problem
    Favourite

    Reaction Timer

    Age
    11 to 14
    Challenge level
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    This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.

  • Keep it simple
    problem
    Favourite

    Keep It Simple

    Age
    11 to 14
    Challenge level
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    Can all unit fractions be written as the sum of two unit fractions?

  • problem
    Favourite

    How Would You Score It?

    Age
    11 to 14
    Challenge level
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    Invent a scoring system for a 'guess the weight' competition.

  • A ring of Jacks, Queens and Kings on a green table.
    problem
    Favourite

    Sociable Cards

    Age
    11 to 14
    Challenge level
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    Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

  • Olympic Records
    problem
    Favourite

    Olympic Records

    Age
    11 to 14
    Challenge level
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    Can you deduce which Olympic athletics events are represented by the graphs?

  • Place your orders
    problem
    Favourite

    Place Your Orders

    Age
    11 to 14
    Challenge level
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    Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

  • Constructing Triangles
    problem
    Favourite

    Constructing Triangles

    Age
    11 to 14
    Challenge level
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    Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

  • Olympic Measures
    problem
    Favourite

    Olympic Measures

    Age
    11 to 14
    Challenge level
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    These Olympic quantities have been jumbled up! Can you put them back together again?

  • Half a minute
    problem
    Favourite

    Half a Minute

    Age
    11 to 14
    Challenge level
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    Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?

  • Transformation Game
    game
    Favourite

    Transformation Game

    Age
    11 to 14
    Challenge level
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    Why not challenge a friend to play this transformation game?

  • Coordinate Patterns
    problem
    Favourite

    Coordinate Patterns

    Age
    11 to 14
    Challenge level
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    Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?

  • Peaches today, Peaches tomorrow...
    problem
    Favourite

    Peaches Today, Peaches Tomorrow...

    Age
    11 to 14
    Challenge level
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    A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

  • Shapely pairs
    problem
    Favourite

    Shapely Pairs

    Age
    11 to 14
    Challenge level
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    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...

  • Property chart
    problem
    Favourite

    Property Chart

    Age
    11 to 14
    Challenge level
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    A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

  • Factors and Multiples Puzzle
    problem
    Favourite

    Factors and Multiples Puzzle

    Age
    11 to 14
    Challenge level
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    Using your knowledge of the properties of numbers, can you fill all the squares on the board?

  • Route to infinity
    problem
    Favourite

    Route to Infinity

    Age
    11 to 14
    Challenge level
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    Can you describe this route to infinity? Where will the arrows take you next?

  • All in a jumble
    problem
    Favourite

    All in a Jumble

    Age
    11 to 14
    Challenge level
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    My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.

  • Power mad!
    problem
    Favourite

    Power Mad!

    Age
    11 to 14
    Challenge level
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    Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.

  • Who's the best?
    problem
    Favourite

    Who's the Best?

    Age
    11 to 14
    Challenge level
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    Which countries have the most naturally athletic populations?

  • Multiple Surprises
    problem
    Favourite

    Multiple Surprises

    Age
    11 to 16
    Challenge level
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    Sequences of multiples keep cropping up...

  • Rhombus It
    problem
    Favourite

    Rhombus It

    Age
    11 to 16
    Challenge level
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    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.