Weekly Problem 9 - 2012
What is the angle QPT in this diagram?
Weekly Problem 30 - 2013
What is the angle $x$ in the star shape shown?
Draw all the possible distinct triangles on a 4 × 4 dotty grid. Convince me that you have all possible triangles.
If you know the sizes of the angles marked with coloured dots in this diagram which angles can you find by calculation?
Weekly Problem 27 - 2013
The diagram shows a parallelogram inside a triangle. What is the value of $x$?
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?
Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?
The largest square which fits into a circle is ABCD and EFGH is a square with G and H on the line CD and E and F on the circumference of the circle. Show that AB = 5EF. Similarly the largest equilateral triangle which fits into a circle is LMN and PQR is an equilateral triangle with P and Q on the line LM and R on the circumference of the circle. Show that LM = 3PQ
Find the area of the shaded region created by the two overlapping triangles in terms of a and b?
