Explore the two quadratic functions and find out how their graphs
Robert noticed some interesting patterns when he highlighted square
numbers in a spreadsheet. Can you prove that the patterns will
Here are some more quadratic functions to explore. How are their
The NRICH Stage 5 weekly challenges are shorter problems aimed at Post-16 students or enthusiastic younger students. There are 52 of them.
Find the relationship between the locations of points of inflection, maxima and minima of functions.
Consider these analogies for helping to understand key concepts in
Observe symmetries and engage the power of substitution to solve
Mathmo is a revision tool for post-16 mathematics. It's great installed as a smartphone app, but it works well in pads and desktops and notebooks too. Give yourself a mathematical workout!
When is $7^n + 3^n$ a multiple of 10? Can you prove the result by
two different methods?
Herschel sent us a lovely clear explanation using algebra to
explain why the areas were the same.
Go to last month's problems to see more solutions.
Step back and reflect! This article reviews techniques such as
substitution and change of coordinates which enable us to exploit
underlying structures to crack problems.
To avoid losing think of another very well known game where the
patterns of play are similar.