The current lessons cover algebra (indices, quadratic equations and simultaneous equations), trigonometry in non-right-angled triangles, and statistics and probability. Work through a topic in order, attempt the practice questions before opening the answers, then test yourself on past papers.
The lessons are written for learners preparing for Grade 12 mathematics examinations. Always check the topic list against the syllabus your school follows.
Topics
Algebra
Laws of indices
Learn the laws of indices, including zero, negative and fractional indices, with worked examples, common mistakes and practice questions with full answers.
Start lesson →Quadratic equations
Solve quadratic equations by factorising, completing the square and using the formula, and use the discriminant, with worked examples and practice questions.
Start lesson →Simultaneous equations
Solve linear simultaneous equations by elimination and substitution, and solve a linear equation with a quadratic one, with worked examples and practice questions.
Start lesson →Trigonometry
Statistics and probability
Probability
Calculate probabilities of single and combined events, use tree diagrams with and without replacement, and use the addition and multiplication rules, with worked examples.
Start lesson →Mean, median and mode
Find the mean, median, mode and range from raw data, frequency tables and grouped data, and decide which average to use, with worked examples and practice questions.
Start lesson →Learn, practise, then test yourself
- Read the ideaStart with the key points and formulas so you know what the topic is about.
- Follow the examplesWork through each example on paper, one line at a time, before moving on.
- Try before you peekAttempt every practice question first. Open the answers only to check.
- Practise on real papersWhen the topic feels comfortable, move to past papers and the quiz bank.