The area of the small square is $\frac13$ of the area of the large square. What is $\frac xy$?
What does Pythagoras' Theorem tell you about the radius of these circles?
Given a regular pentagon, can you find the distance between two non-adjacent vertices?
Find the sides of an equilateral triangle ABC where a trapezium BCPQ is drawn with BP=CQ=2 , PQ=1 and AP+AQ=sqrt7 . Note: there are 2 possible interpretations.
This is an interactivity in which you have to sort the steps in the completion of the square into the correct order to prove the formula for the solutions of quadratic equations.
The diagram shows a regular pentagon with sides of unit length. Find all the angles in the diagram. Prove that the quadrilateral shown in red is a rhombus.
A bag contains red and blue balls. You are told the probabilities of drawing certain combinations of balls. Find how many red and how many blue balls there are in the bag.
Draw any triangle PQR. Find points A, B and C, one on each side of the triangle, such that the area of triangle ABC is a given fraction of the area of triangle PQR.
Find a connection between the shape of a special ellipse and an infinite string of nested square roots.
Can you find the maximum value of the curve defined by this expression?
