Challenge Level

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.

Challenge Level

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

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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?

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Can you find the values at the vertices when you know the values on the edges?

Challenge Level

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

Challenge Level

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?

Challenge Level

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 ?

Challenge Level

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?

Challenge Level

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?

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

Challenge Level

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

Challenge Level

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?

Challenge Level

Five equations... five unknowns... can you solve the system?

Challenge Level

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

Challenge Level

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

A collection of short problems on equations and formulae.