Triangles

problem
Folding

Age

7 to 11

Challenge level

What shapes can you make by folding an A4 piece of paper?
problem
LOGO challenge 5 - patch

Age

11 to 16

Challenge level

Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?
problem
Rectangle tangle

Age

7 to 11

Challenge level

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?
problem
Tri-five

Age

7 to 11

Challenge level

Find all the different shapes that can be made by joining five equilateral triangles edge to edge.
problem
Six to four

Age

5 to 7

Challenge level

Move four sticks so there are exactly four triangles.
problem
Egyptian rope

Age

7 to 11

Challenge level

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?
problem
Triangular tantaliser

Age

11 to 14

Challenge level

Draw all the possible distinct triangles on a 4 x 4 dotty grid. Convince me that you have all possible triangles.
problem
Are you kidding

Age

14 to 16

Challenge level

If the altitude of an isosceles triangle is 8 units and the perimeter of the triangle is 32 units.... What is the area of the triangle?
problem
Lens angle

Age

14 to 16

Challenge level

Find the missing angle between the two secants to the circle when the two angles at the centre subtended by the arcs created by the intersections of the secants and the circle are 50 and 120 degrees.
problem
Counting triangles

Age

11 to 14

Challenge level

Triangles are formed by joining the vertices of a skeletal cube. How many different types of triangle are there? How many triangles altogether?