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Proof sorter | Get started by reconstructing this classic proof of the irrationality of $\sqrt{2}$, which will be found in all undergraduate courses of mathematics. |
Refine your understanding of logical implication and the all-important $\Rightarrow$ and $\Leftrightarrow$ symbols. | |
Modular fractions | Find out about multiplicative inverses in modular arithmetic. |
Ford Circles | Give yourself an algebraic workout and discover the beauty of the Farey sequence. |
The clue is in the question | Practise constructing a complex proof using the properties of a given system. |
Squareness | Explore some interesting relations and their graphs. |
Complex partial fractions | See how the power of algebra is opened up with the help of complex numbers. |
What is a group | Groups are fundamental: get started with the basics here. |
Cube net | Get started with graph theory and some combinatorics. |
Transformations for 10 | Explore how matrices are used to transform vectors in this critical foundation to the mathematics of linear maps. |
Helpful preparation for university for those intending to study biological sciences.
10 of our best problems to help you prepare to study chemistry at university.