Year 10 Working systematically

  • More Twisting and Turning
    problem
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    More Twisting and Turning

    Age
    11 to 16
    Challenge level
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    It would be nice to have a strategy for disentangling any tangled ropes...

  • Warmsnug Double Glazing
    problem
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    Warmsnug Double Glazing

    Age
    14 to 16
    Challenge level
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    How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

  • Which is cheaper?
    problem
    Favourite

    Which Is Cheaper?

    Age
    14 to 16
    Challenge level
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    When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

  • Nutrition and Cycling
    problem
    Favourite

    Nutrition and Cycling

    Age
    14 to 16
    Challenge level
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    Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

  • Picturing the world
    problem
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    Picturing the World

    Age
    14 to 16
    Challenge level
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    How can we make sense of national and global statistics involving very large numbers?

  • Isosceles Seven
    problem
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    Isosceles Seven

    Age
    14 to 16
    Challenge level
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    Is it possible to find the angles in this rather special isosceles triangle?

  • Of all the areas
    problem
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    Of All the Areas

    Age
    14 to 16
    Challenge level
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    Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?

  • Fair Shares?
    problem
    Favourite

    Fair Shares?

    Age
    14 to 16
    Challenge level
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    A mother wants to share some money by giving each child in turn a lump sum plus a fraction of the remainder. How can she do this to share the money out equally?

  • What's Possible?
    problem
    Favourite

    What's Possible?

    Age
    14 to 16
    Challenge level
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    Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?

  • Pick's Theorem
    problem
    Favourite

    Pick's Theorem

    Age
    14 to 16
    Challenge level
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    Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.

  • Painted Cube
    problem
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    Painted Cube

    Age
    14 to 16
    Challenge level
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    Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?

  • Triangle in a Triangle
    problem
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    Triangle in a Triangle

    Age
    14 to 16
    Challenge level
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    Can you work out the fraction of the original triangle that is covered by the inner triangle?

  • Nicely Similar
    problem
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    Nicely Similar

    Age
    14 to 16
    Challenge level
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    If the hypotenuse (base) length is 100cm and if an extra line splits the base into 36cm and 64cm parts, what were the side lengths for the original right-angled triangle?

  • Surprising Transformations
    problem
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    Surprising Transformations

    Age
    14 to 16
    Challenge level
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    I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

  • problem
    Favourite

    Simplifying Doughnut

    Age
    14 to 16
    Challenge level
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    Can you match up these equivalent algebraic expressions?

  • Latin Numbers
    problem
    Favourite

    Latin Numbers

    Age
    14 to 16
    Challenge level
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    Can you create a Latin Square from multiples of a six digit number?

  • Compare Areas
    problem
    Favourite

    Compare Areas

    Age
    14 to 16
    Challenge level
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    Which has the greatest area, a circle or a square, inscribed in an isosceles right angle triangle?