Mathematics
Grade 12 Maths topics
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Question 3.2 · November 2024 · Paper 1 · National (DBE) · 4 marks
A circle with radius cm is drawn. A second, smaller circle is drawn through the centre of the first circle and also touches the first circle internally, as shown in the diagram. A third, smaller circle is drawn through the centre of the second circle and touches the second circle internally. The process of drawing circles continues and forms a geometric pattern.
3.2 Calculate the sum of the areas of the first 10 circles.(4)
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Paper 1 topics
- Functions103 questions · 20 skillsFunction Types · Inverse Graphs · The Logarithmic Function and Laws of Logarithms
- Number Patterns, Sequences and Series138 questions · 15 skillsSequences (Progressions) · Series · Sigma Notation · Infinite Geometric Series · Applications of Sequences and Series
- Financial Maths9 questions · 6 skillsUsing Logarithms to Determine the Time Period · Future Value and Present Value · Comparing Investment and Loan Options
- Calculus80 questions · 20 skillsThe Remainder and Factor Theorem · Limits · Average Gradient · Differentiation · Tangents to Graphs of Functions · Stationary Points and Points of Inflection · Sketching Graphs of Cubic Functions · Graph Interpretation · Maxima and Minima Problems · Rates of Change · Calculus of Motion
- Probability10 questions · 3 skillsThe Fundamental Counting Principle
Paper 2 topics
- Trigonometry85 questions · 14 skillsCompound Angles · Double Angles · Trigonometric Identities using Double Angles · Trigonometric Equations · Two and Three Dimensional Trigonometry
- Analytical Geometry38 questions · 13 skillsThe Circle
- Euclidean Geometry39 questions · 9 skillsRatios and Proportion · Similarity
- Statistics3 questions · 7 skillsScatter Plots
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