Triangles

  • Number the Sides
    problem

    Number the sides

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?
  • Overlaps
    problem

    Overlaps

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.

  • problem

    Cut it out

    Age
    7 to 11
    Challenge level
    filled star filled star filled star

    Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

  • Triangle Island
    problem

    Triangle island

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    You have pitched your tent (the red triangle) on an island. Can you move it to the position shown by the purple triangle making sure you obey the rules?
  • Uncanny triangles
    problem

    Uncanny triangles

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    Can you help the children find the two triangles which have the lengths of two sides numerically equal to their areas?
  • Cartesian Isometric
    problem

    Cartesian isometric

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    The graph below is an oblique coordinate system based on 60 degree angles. It was drawn on isometric paper. What kinds of triangles do these points form?
  • Triangles all Around
    problem

    Triangles all around

    Age
    7 to 11
    Challenge level
    filled star filled star filled star

    Can you find all the different triangles on these peg boards, and find their angles?

  • Triangle Pin-Down
    problem

    Triangle pin-down

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
  • Sticks and Triangles
    problem

    Sticks and triangles

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?
  • Fraction Fascination
    problem

    Fraction fascination

    Age
    7 to 11
    Challenge level
    filled star filled star filled star

    This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.