Subject: Mathematics Grade: 10 Focus: Algebra, Functions, Trigonometry, Geometry, and Statistics
Introduction
Grade 10 Mathematics sets the foundation for your final matric results. Concepts you learn this year (like Trigonometry and Functions) will be tested all the way to Grade 12.
This guide breaks down the 2025 Scope into manageable sections with tips and tricks to help you get that distinction.
1. The “Big Three” Topics
According to the scope, these three topics carry the most weight in exams. If you master these, you are halfway to a distinction.
A. Algebra (Paper 1)
This is the language of maths. You cannot pass without it.
- Factorisation: You must be able to factorise any expression (Common factor, Difference of Two Squares, Trinomials, Grouping).
- Tip: Always look for a Common Factor first!
- Exponents: Learn the laws of exponents by heart. Practice simplifying expressions with negative and fractional exponents.
- Inequalities: Remember the golden rule: If you divide or multiply by a negative number, the inequality sign flips.
B. Functions & Graphs (Paper 1 & 2)
You need to know the shape, domain, and range of these four graphs:
C. Trigonometry (Paper 2)
This is often new for Grade 10s.
2. Study Tips & Tricks for Distinction
Tip 1: Master the “Euclidean Geometry” Theorem
Geometry (Paper 2) is about seeing patterns.
- Lines & Angles: Revise Grade 8 & 9 geometry (Fun/Alternating/Corresponding angles).
- Triangles: Know the properties of isosceles, equilateral, and right-angled triangles.
- Trick: Use coloured pens to mark equal angles and parallel lines on your diagram. It makes the solution pop out!
Tip 2: Don’t Ignore Statistics
Statistics (Paper 2) is usually the easiest section to get full marks in.
- Know the difference between Mean, Median, and Mode.
- Understand how to read a Box-and-Whisker Plot.
Tip 3: Practice Past Papers
Maths is a skill, like playing soccer or dancing. You only get better by doing it.
- Download past papers from 2021-2024.
- Time yourself. If the paper is 2 hours, try to finish in 1 hour 45 minutes.
3. Exam Breakdown (2025 Scope)
Paper 1 (Algebra & Functions)
- Algebraic Expressions: = approx 30 marks
- Equations & Inequalities: = approx 15 marks
- Number Patterns: = approx 15 marks
- Functions & Graphs: = approx 30 marks
- Probability: = approx 10 marks
Paper 2 (Geometry & Trig)
- Statistics: = approx 15 marks
- Analytical Geometry: = approx 15 marks
- Trigonometry: = approx 40 marks (Huge section!)
- Euclidean Geometry: = approx 30 marks
Conclusion
Grade 10 Maths is a big jump from Grade 9, but it is manageable. Focus on Algebra first—it appears in almost every question. Then, conquer Trigonometry early so you aren’t stressed before the final exam.
Practice daily, ask questions, and don’t give up!