1 out of 3
Surprising numerical patterns can be explained using algebra and diagrams...
2 out of 3
Can you see how this picture illustrates the formula for the sum of the first six cube numbers?
2 out of 3
You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?
2 out of 3
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?
2 out of 3
What is the largest number which, when divided into these five numbers in turn, leaves the same remainder each time?
2 out of 3
Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?
2 out of 3
A mother wants to share some money by giving each child in turn a lump sum plus a fraction of the remainder. How can she do this to share the money out equally?
2 out of 3
Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?
2 out of 3
Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.
2 out of 3
Each of the following shapes is made from arcs of a circle of radius r. What is the perimeter of a shape with 3, 4, 5 and n "nodes".
