2 out of 3
Can you minimise the amount of wood needed to build the roof of my garden shed?
1 out of 3
A dot starts at the point (1,0) and turns anticlockwise. Can you estimate the height of the dot after it has turned through 45 degrees? Can you calculate its height?
2 out of 3
Can you work out the dimensions of the three cubes?
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
The area of a square inscribed in a circle with a unit radius is 2. What is the area of these other regular polygons inscribed in a circle with a unit radius?
2 out of 3
A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?
2 out of 3
Chris is enjoying a swim but needs to get back for lunch. How far along the bank should she land?
3 out of 3
A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?
3 out of 3
Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.
3 out of 3
Which has the greatest area, a circle or a square, inscribed in an isosceles right angle triangle?
