Mathematics — Grade 10

Algebraic Expressions

This unit builds on the algebra you learned in earlier grades. You will develop skills to work with more complex expressions, which form the foundation for equations, inequalities, and functions later this year.

Exponents

Exponents are mathematical shortcuts. They help us write very large or very small numbers in a compact way.

Number Patterns

Number patterns are everywhere. The rows of seats in a stadium, the pages in your notebook, or the money you save each week—all follow patterns. In this unit, you will learn to find the hidden rules that control sequences of numbers. Once you know the rule, you can predict any term—the 10th, the 100th, or even the 1000th.

Equations and Inequalities

This unit teaches you how to find unknown values in mathematical problems. When you ask "how much do I need?" or "what's the missing piece?", you are thinking about equations.

Trigonometry: The Mathematics of Triangles

Trigonometry comes from Greek words meaning "triangle measurement." This branch of mathematics uses the ratios between sides of right-angled triangles to solve problems involving angles and distances.

Term 1 Revision: Grade 10 Mathematics

This revision unit brings together everything you learned in Term 1. You will revisit algebraic expressions, exponents, number patterns, equations and inequalities, and trigonometry.

Functions

This unit covers functions — one of the most important topics in mathematics. Functions help us describe and predict patterns in the world around us.

Euclidean Geometry: Properties of Shapes and Proofs

Euclidean Geometry helps us understand the relationships between points, lines, angles, and shapes. Named after the ancient Greek mathematician Euclid, this branch of mathematics teaches us to prove WHY geometric relationships work, not just accept that they do.

Term 2 Revision: Functions and Geometry

This revision guide covers the main topics from Term 2: functions (linear, quadratic, hyperbolic, exponential, and trigonometric) and Euclidean geometry (Midpoint Theorem and quadrilaterals).

Mid-Year Examination Revision Guide

This guide helps you prepare for the Grade 10 mid-year mathematics examination. The exam is a two-hour paper worth 100 marks. It tests seven major topics from Terms 1 and 2.

Analytical Geometry

Analytical geometry connects algebra and geometry on the Cartesian plane. You will use formulas to find distances, gradients (slopes), and midpoints instead of measuring with rulers.

Finance, Growth and Decay

This topic connects mathematics to everyday money decisions. Every time prices increase at shops, when your family discusses a loan, or when you hear about population growth — you are seeing the mathematics from this unit.

Statistics: Data Analysis and Interpretation

Statistics helps you make sense of data. When you calculate your average mark or compare test scores, you are already using statistics. This unit builds on those skills.

Trigonometry in Two Dimensions: Solving Real-World Problems with Angles

In this unit, you will use trigonometry to solve practical problems. You have already learned the basic trigonometric ratios (sine, cosine, and tangent) in Term 1. Now you will apply these ratios to real situations that engineers, surveyors, and pilots face every day.

Measurement: Volume and Surface Area

This unit teaches you how to calculate the volume and surface area of three-dimensional (3D) shapes. These skills are used every day by engineers, builders, and designers.

Term 3 Revision: Analytical Geometry, Finance, Statistics and More

This revision unit brings together everything you learned in Term 3. You will revise six major topics and practise mixed questions to prepare for assessments.

Probability: Understanding the Mathematics of Chance

Probability is the branch of mathematics that measures how likely events are to happen. You have met basic probability before. In this unit, you will build on that foundation and learn powerful new tools: Venn diagrams, the addition rule, and complementary events.

Term 4 Revision: Probability and Full-Year Exam Preparation

This revision unit helps you prepare for your Grade 10 final Mathematics examinations. You will revisit probability (the main Term 4 topic) and consolidate key concepts from the whole year.

Revision and Final Examinations: Your Complete Grade 10 Mathematics Review

This revision unit brings together everything you have learned in Grade 10 Mathematics. Think of it as gathering and checking all your tools before a big task.