If you know the output, how can you work out the input?
Surds are surprising!
What if we could find the square root of negative numbers?
This feature explores problems connected with area and integration
Can you make sense of these questions about quadratics?
A selection of challenges about inequalities
Resources to help you think about calculus and transformations
Can you connect different areas of maths?
Transpose and compose functions
Stretch your mathematical muscles!
Check out the new Underground Maths website
Explore exponentials and logarithms
These CMEP resources explore the use of trigonometric identities and other trig features
Use your logical skills to make sense of these circuits and logic gate problems.
Problems to help you get started with higher mathematics courses
Be playful with graphs and networks, and see what theorems you can discover!
These resources from CMEP explore some aspects of differentiation and integration
In this feature, explore what happens to functions when you transform their graphs
There's nothing irrational about these problems!
Try these tricky trigonometry tasks.
This CMEP feature explores the properties of circles and triangles
Try some of our CMEP resources around the theme of logarithms.
Explore and sketch curves with different properties.
Try our new CMEP tasks to help you to think functionally!
Try some of our CMEP resources around the theme of quadratics.
This feature introduces some topics from Decision Mathematics
You can get a great feel for functions by sketching their graphs or using graph plotting software...
What advanced mathematics can you do on a dotty grid?
What stories do complicated data sets tell us? How can we present the information clearly?
When numbers are raised to different powers, there are lots of properties you can explore.
Learn about vectors and how to use them to solve problems
What are complex numbers, and how can we represent them?
These problems invite you to explore integration as area, and use area integrals to solve problems.
These problems are best solved using systematic approaches.
This collection of problems has been put together to help you to explore and understand important ideas in statistics.
Sequences are everywhere in mathematics! In these problems you can explore some sequences, learn how to represent them, and how to calculate sums of series.