This is part of our collection of favourite rich tasks arranged by topic.
If you are a teacher, you can find the whole collection on our Secondary Curriculum teacher page.
Alternatively, if you are a student, you'll find the same problems on our Secondary Curriculum student page.
1 out of 3
Can you find the values at the vertices when you know the values on the edges?
1 out of 3
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?
1 out of 3
How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
1 out of 3
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?
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
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?
2 out of 3
Given an equilateral triangle inside an isosceles triangle, can you find a relationship between the angles?
2 out of 3
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.
2 out of 3
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?
2 out of 3
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
2 out of 3
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?
2 out of 3
Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?
1 out of 3
What do you get when you raise a quadratic to the power of a quadratic?
2 out of 3
Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?
