Nine squares are fitted together to form a rectangle. Can you find its dimensions?
How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
A square of area 40 square cms is inscribed in a semicircle. Find the area of the square that could be inscribed in a circle of the same radius.
Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?
Which has the greatest area, a circle or a square, inscribed in an isosceles right angle triangle?
In a right-angled tetrahedron prove that the sum of the squares of the areas of the 3 faces in mutually perpendicular planes equals the square of the area of the sloping face. A generalisation of Pythagoras' Theorem.
