1 out of 3
I'm thinking of a rectangle with an area of 24. What could its perimeter be?
1 out of 3
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
1 out of 3
Can you deduce the perimeters of the shapes from the information given?
1 out of 3
We started drawing some quadrilaterals - can you complete them?
2 out of 3
Nine squares are fitted together to form a rectangle. Can you find its dimensions?
1 out of 3
How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
2 out of 3
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.
2 out of 3
Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?
3 out of 3
Which has the greatest area, a circle or a square, inscribed in an isosceles right angle triangle?
3 out of 3
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.
