problem

### How old am I?

In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?

problem

### Symmetricality

Five equations and five unknowns. Is there an easy way to find the unknown values?

problem

### Fair Shares?

A mother wants to share a sum of money by giving each of her
children in turn a lump sum plus a fraction of the remainder. How
can she do this in order to share the money out equally?

problem

### Iff

Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?

problem

### CD Heaven

All CD Heaven stores were given the same number of a popular CD to
sell for £24. In their two week sale each store reduces the
price of the CD by 25% ... How many CDs did the store sell at each
price?

problem

### Terminology

Given an equilateral triangle inside an isosceles triangle, can you find a relationship between the angles?

problem

### Pick's Theorem

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.

problem

### Warmsnug Double Glazing

How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

problem

### Matchless

There is a particular value of x, and a value of y to go with it, which make all five expressions equal in value, can you find that x, y pair ?

problem

### Which is cheaper?

When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

problem

### Which is bigger?

Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

problem

### Training schedule

The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?

problem

### Multiplication arithmagons

Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?

problem

### Mega Quadratic Equations

What do you get when you raise a quadratic to the power of a quadratic?