Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?
Explore the relationship between resistance and temperature
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?
What is the largest number which, when divided into these five numbers in turn, leaves the same remainder each time?
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?
Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?
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".
Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.
