Exploring and noticing

  • Factorising with Multilink
    problem

    Factorising with multilink

    Age
    14 to 16
    Challenge level
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    Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

  • Olympic Triathlon
    problem

    Olympic triathlon

    Age
    14 to 16
    Challenge level
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    Is it the fastest swimmer, the fastest runner or the fastest cyclist who wins the Olympic Triathlon?

  • Beelines
    problem

    Beelines

    Age
    14 to 16
    Challenge level
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    Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?

  • Picturing the world
    problem

    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?

  • Box plot match
    problem

    Box plot match

    Age
    14 to 16
    Challenge level
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    Match the cumulative frequency curves with their corresponding box plots.

  • Standard Index Form Matching
    problem

    Standard index form matching

    Age
    14 to 16
    Challenge level
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    Can you match these calculations in Standard Index Form with their answers?

  • Triangle midpoints
    problem

    Triangle midpoints

    Age
    14 to 16
    Challenge level
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    You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?

  • Two Ladders
    problem

    Two ladders

    Age
    14 to 16
    Challenge level
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    Two ladders are propped up against facing walls. At what height do the ladders cross?

  • Plus Minus
    problem

    Plus minus

    Age
    14 to 16
    Challenge level
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    Can you explain the surprising results Jo found when she calculated the difference between square numbers?

  • Sitting Pretty
    problem

    Sitting pretty

    Age
    14 to 16
    Challenge level
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    A circle of radius r touches two sides of a right angled triangle, sides x and y, and has its centre on the hypotenuse. Can you prove the formula linking x, y and r?