Year 9 Being curious

  • Reversals
    problem

    Reversals

    Age
    11 to 14
    Challenge level
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    Where should you start, if you want to finish back where you started?

  • How Many Miles To Go?
    problem

    How many miles to go?

    Age
    11 to 14
    Challenge level
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    How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

  • Up and across
    problem

    Up and across

    Age
    11 to 14
    Challenge level
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    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

  • Cola can
    problem

    Cola can

    Age
    11 to 14
    Challenge level
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    An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?

  • Which solids can we make?
    problem

    Which solids can we make?

    Age
    11 to 14
    Challenge level
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    Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

  • What's it worth?
    problem

    What's it worth?

    Age
    11 to 16
    Challenge level
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    There are lots of different methods to find out what the shapes are worth - how many can you find?

  • Semi-regular Tessellations
    problem

    Semi-regular tessellations

    Age
    11 to 16
    Challenge level
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    Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

  • problem

    Marbles in a box

    Age
    11 to 16
    Challenge level
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    How many winning lines can you make in a three-dimensional version of noughts and crosses?

  • Wipeout
    problem

    Wipeout

    Age
    11 to 16
    Challenge level
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    Can you do a little mathematical detective work to figure out which number has been wiped out?