Video Lessons
37 free maths videos from the Danemathics YouTube channel, organised by type and grade. Each lesson page adds notes on what it covers, extra worked examples and exercises to try.
37 videos
Adding & Subtracting Common Fractions
How to add and subtract fractions with different denominators by finding a common denominator first. A core skill that shows up everywhere, from algebra to financial maths.
Improve Your Fractions in 5 Minutes
A fast confidence-booster covering the fraction basics learners most often get wrong: equivalent fractions, simplifying, and comparing sizes.
Ratio – Introduction & Examples
What a ratio is, how to simplify it, and how to share an amount in a given ratio — a favourite in Grade 8–9 tests and everyday life.
Simplifying Algebraic Expressions
How to collect like terms and simplify algebraic expressions — the first real algebra skill and the foundation for equations and functions.
Exponential Expressions Examples
Worked examples applying the exponent laws to simplify expressions — multiplying, dividing and raising powers to powers.
Factorisation: Grouping
How to factorise an expression with four terms by grouping them in pairs — an essential technique for Grade 10 algebra.
Simple Interest
How simple interest works, where the same amount is earned each period on the original amount, using the formula A = P(1 + in).
Compound Interest
How compound interest earns 'interest on interest', growing faster than simple interest, using A = P(1 + i)ⁿ.
Hire Purchase
How hire purchase works: paying a deposit and then monthly instalments (with interest) until an item is paid off — a real-life application of simple interest.
Geometry of 2D Shapes – Part 1
An introduction to the angle relationships on straight lines and around a point — the reasoning rules every geometry answer depends on.
Geometry of 2D Shapes – Part 2
Part 2 continues into parallel lines cut by a transversal: corresponding, alternate and co-interior angles.
Solving Angles in a Triangle
How to find unknown angles in a triangle using the fact that the three interior angles always add up to 180°.
Triangle Properties: Exterior Angle
The exterior angle of a triangle equals the sum of the two opposite interior angles — a handy shortcut in geometry problems.
Solving x as an Exponent
How to solve exponential equations where the unknown is in the power, by writing both sides with the same base.
Exponential Equations
More advanced exponential equations, including using factorising and substitution when the bases can't be matched directly.
Equations with Rational Exponents (Advanced)
Solving equations that involve fractional (rational) exponents and surds — a Grade 11 challenge topic.
Adding & Subtracting Algebraic Fractions
Applying the common-denominator method to fractions that contain variables — combining number-fraction skills with algebra.
Simplifying Algebraic Fractions using Factorisation
How factorising the top and bottom of an algebraic fraction lets you cancel common factors and simplify.
Mathematics Grade 8 Term 1 Prep Test
A full walkthrough of a Grade 8 Term 1 preparation test — see the exact style of questions and how to answer them for full marks.
Maths Grade 9 Prep Test
A Grade 9 preparation test worked through question by question — great revision before a class test.
Grade 9 Mathematics Term 1 Practice Test
A Term 1 practice test for Grade 9, with each question solved and explained.
Grade 9 Mathematics June Exam Prep
June (mid-year) exam preparation for Grade 9 — the topics and question types to expect in Term 2.
Class Test: Exponents and Surds
A Grade 11 class test on exponents and surds, fully worked — ideal revision for this Term 1 topic.
Mathematics Paper 1 November 2025
A walkthrough of a Grade 10 November Paper 1 — algebra, functions and finance in exam format.
Taxation Test – Grade 12 Math Literacy
A Grade 12 Mathematical Literacy test on taxation, worked through with the real-life context explained.
Graad 8 Wiskunde Vraestel 2 Nov 2023
'n Volledige deurloop van 'n Graad 8 November Vraestel 2 (in Afrikaans) — geometrie, meting en datahantering.
Grade 8 Mathematics Paper 2 November 2023
The English walkthrough of the Grade 8 November Paper 2 — geometry, measurement and data handling.
Grade 8 Mathematics Paper 1 – Term 4 Prep
Term 4 preparation for Grade 8 Paper 1 — number, algebra and patterns revision before the finals.
Grade 8 Term 3 2025 Maths Test Preparation
Getting ready for a Grade 8 Term 3 test — the key geometry and measurement topics, with worked questions.
Grade 8 Geometry Test Questions – Part 1
Typical Grade 8 geometry test questions solved step by step, showing how to write reasons for full marks.
Grade 8 Algebra Test Questions
A set of Grade 8 algebra test questions worked through — simplifying, substituting and solving.
What to Expect for Maths in Grade 8
An overview of the Grade 8 maths year: the topics you'll meet, what changes from primary school, and how to prepare.
Grade 9 Mathematics Topics for 2026
A rundown of the Grade 9 maths topics for the year and how they set you up for choosing Mathematics in Grade 10.
Top 10 Secret Maths Tips
Ten practical tips for studying maths more effectively and picking up marks you'd otherwise lose in tests and exams.
Minute Math Challenge: Integer Edition
A quick-fire integer challenge — test how fast and accurately you can handle positive and negative numbers.
Try to Beat Me: Integers
A fun 'race the teacher' integer challenge — pause and try each one before the answer is revealed.
ChatGPT Challenges Me with 3 Tough Maths Questions
A light-hearted challenge video tackling three tricky AI-generated maths questions — good exposure to problem-solving under pressure.