2 out of 3
There are unexpected discoveries to be made about square numbers...
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
Can you create a Latin Square from multiples of a six digit number?
3 out of 3
A 2-digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?
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
Is it possible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units?
3 out of 3
A napkin is folded so that a corner coincides with the midpoint of an opposite edge. Investigate the three triangles formed.
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It is impossible to trisect an angle using only ruler and compasses but it can be done using a carpenter's square.
3 out of 3
A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?
3 out of 3
Using a ruler, pencil and compasses only, it is possible to construct a square inside any triangle so that all four vertices touch the sides of the triangle.
