Angles in polygons

  • Small pepper seedlings in turquoise pots.
    problem

    Heptagon Has

    Age
    11 to 14
    Challenge level

    Weekly Problem 15 - 2012
    How many of the five properties can a heptagon have?

  • Small pepper seedlings in turquoise pots.
    problem

    Parallelogram in the Middle

    Age
    11 to 14
    Challenge level

    Weekly Problem 27 - 2013
    The diagram shows a parallelogram inside a triangle. What is the value of $x$?

  • Small pepper seedlings in turquoise pots.
    problem

    Equal Lengths

    Age
    11 to 14
    Challenge level

    Weekly Problem 29 - 2013
    An equilateral triangle is drawn inside a rhombus, both with equal side lengths. What is one of the angles of the rhombus?

  • Small pepper seedlings in turquoise pots.
    problem

    Trapezium Arch

    Age
    11 to 14
    Challenge level

    Weekly Problem 27 - 2007
    Ten stones form an arch. What is the size of the smallest angles of the trapezoidal stones?

  • LOGO Challenge 4 - Squares to Procedures
    problem

    Logo Challenge 4 - Squares to Procedures

    Age
    11 to 16
    Challenge level

    This LOGO Challenge emphasises the idea of breaking down a problem into smaller manageable parts. Working on squares and angles.

  • Dodecawhat
    problem

    Dodecawhat

    Age
    14 to 16
    Challenge level

    Follow instructions to fold sheets of A4 paper into pentagons and assemble them to form a dodecahedron. Calculate the error in the angle of the not perfectly regular pentagons you make.

  • A Sameness Surely
    problem

    A Sameness Surely

    Age
    14 to 16
    Challenge level

    Triangle ABC has a right angle at C. ACRS and CBPQ are squares. ST and PU are perpendicular to AB produced. Show that ST + PU = AB

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