2 Unit Mathematics Worksheets
Caution: These worksheets are in their draft form and contain some wrong answers.
1. Basic arithmetic and algebra.
1. Basic Arithmetic I: Worksheet
1. Basic Arithmetic II: Worksheet
1. Basic Algebra I: Worksheet
1. Basic Algebra II: Worksheet
2. Plane geometry.
2. Angles: Worksheet
2. Geometry I: Worksheet
2. Geometry II: Worksheet
2. Geometry III: Worksheet
2. Congruent Triangles: Worksheet
2. More About Angles: Worksheet
2. Parallel Lines: Worksheet
2. Polygons: Worksheet
2. Triangles: Worksheet
3. Probability.
3. What is Probability?: Worksheet
3. Sample Space: Worksheet
3. Tree Diagrams: Worksheet
3. Multistage Events: Worksheet
3. Product Rule: Worksheet
3. Probability Questions: Worksheet
3. More Probability Probability: Worksheet
3. Even More Probability Questions: Worksheet
3. Combinations: Worksheet
3. Permutations: Worksheet
3. Expected Outcomes: Worksheet
3. Financial Expectations: Worksheet
3. Questions on the word "AUSTRALIA": Worksheet
3. Problems: Worksheet
4. Real functions of a real variable and their geometrical representation.
4. Relations: Worksheet
4. Locus: Straight Line: Worksheet
4. Locus: Circle: Worksheet
4. Locus: Parabola 1: Worksheet
4. Locus: Parabola 2: Worksheet
4. Hyperbola 1: Worksheet
4. RHyperbola 2: Worksheet
5. Trigonometric ratios
5. Trigonometry: Worksheet
5. Trigonometric ratios: Worksheet
5. Trigonometry 1: Worksheet
5. Trigonometry 2: Worksheet
5. Trigonometry 3: Worksheet
5. Bearings: Worksheet
5. Angles of Elevation and Depression: Worksheet
5. Sine and Cosine Rules: Worksheet
5. Angles in All Quadrants: Worksheet
6. Linear functions and lines.
6. Linear Functions: Formula Sheet
6. Coordinate Geometry: Worksheet
6. Problems: Worksheet
6. Even More Problems: Worksheet
6. Coordinate Geometry 2: Worksheet
6. Coordinate Geometry 2 (continued): Worksheet
7. Series and applications.
7. Series and Applications: Formula Sheet
7. Series and Applications: Worksheet
7. Series and Applications: Worksheet
7. Series and Applications: Worksheet
7. Series and Applications: Worksheet
7. Series and Applications: Worksheet
7. Series and Applications: Worksheet
7. Series and Applications: Worksheet
7. Series and Applications: Worksheet
7. Series and Applications: Worksheet
7. Series and Applications: Worksheet
8. The tangent to a curve and the derivative of a function.
8. Limits: Worksheet
8. Calculus: Worksheet
8. Differentiation: Worksheet
8. Chain Rule: Worksheet
8. Product Rule: Worksheet
8. Quotient Rule: Worksheet
8. Tangents: Worksheet
9. The quadratic polynomial and the parabola.
9. Factorisation and the Parabola: Worksheet
9. Graphing a Parabola: Worksheet
9. Parabola 2: Worksheet
9. Simultaneous Equation Problems: Worksheet
10. Geometrical applications of differentiation.
10. Turning Points: Worksheet
10. Second Derivative: Worksheet
10. Points of Inflexion: Worksheet
10. Turning points and Inflexion: Worksheet
11. Integration.
11. Primitive Functions: Worksheet
11. Definite Integral: Worksheet
11. An Important Integration Result: Worksheet
11. Areas: Worksheet
11. Area of a Trapezium: Worksheet
11. Volumes: Worksheet
11. Volumes Formed by Rotation Page 1: Worksheet
11. Volumes Formed by Rotation Page 2: Worksheet
11. Trapezoidal Rule: Worksheet
11. Simpson's Rule: Worksheet
11. Simpsons Rule:3 Function Values; Worksheet
11. Simpson's Rule: Multiple Steps: Worksheet
11. Integration Exercises: Worksheet
12. Logarithmic and exponential functions.
12. Logarithms: Worksheet
12. More Logarithms: Worksheet
12. Derivatives of Log Functions: Worksheet
12. Derivative of Log x: Worksheet
12. Derivative of ax: Worksheet
12. What is e?: Worksheet
12. Gradient of ex?: Worksheet
12. Graphs of Log Functions: Worksheet
12. Exponential Functions: Worksheet
12. Exponential Questions: Worksheet
12. Integrating Exponential Functions: Worksheet
13. The trigonometric functions.
13. Radians: Worksheet
13. Arc: Worksheet
13. Sine Graphs: Worksheet
13. Cosine Graphs: Worksheet
13. Tables of Trigonometric Values: Worksheet
13. Differentiating Trigonometric Functions: Worksheet
14. Applications of calculus to the physical world.
14. Applications of Calculus; All Worksheets
14. Rates of Change: Worksheet
14. Rates of Change; Rate Known: Worksheet
14. Motion: Worksheet
14. Exponential Growth and Decay: Worksheet
14. Applications of Calculus; Problems: Worksheet
14. Applications of Calculus; More Problems: Worksheet
The following topics are for the extension course only.
15. Inverse functions and the inverse trigonometric functions.
16. Polynomials.
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