Topic notes for Grade 10: what gets asked, what you must be able to do, the traps that cost marks, and worked examples.
- Algebraic expressions Expand, factorise and simplify algebraic expressions and algebraic fractions.
- Analytical Geometry Use the distance, gradient and midpoint formulae to solve problems on the Cartesian plane.
- Equations and inequalities Solve linear and factorisable quadratic equations, and linear inequalities.
- Euclidean Geometry Prove and apply properties of parallel lines, triangles and quadrilaterals.
- Exponents Apply the exponent laws to simplify expressions and solve exponential equations.
- Finance and growth Calculate accumulated amounts using the simple growth and compound growth formulae.
- Functions Read, sketch and describe graphs of the straight line, parabola, hyperbola and exponential.
- Measurement Calculate the volume and surface area of prisms, cylinders, spheres, cones and pyramids.
- Number patterns Find and use the general term of a number pattern with a constant difference.
- Probability Calculate probabilities for two events using Venn diagrams and the addition rule.
- Statistics Summarise and compare data using measures of centre, spread and box-and-whisker plots.
- Trigonometric functions Sketch and interpret the graphs of sin, cos and tan from 0° to 360°.
- Trigonometry Use trig ratios to find sides and angles, including exact values at special angles.