O Level Zimsec Mathematics Course
Master the full ZIMSEC Mathematics syllabus from Form 1 to Form 4 — from Number Systems to Trigonometry and Vectors — with clear explanations, worked examples, and exam-focused practice.

The beauty of Learning at Renstay College— Renstay College

What you'll learn
What you'll be able to do
- Demonstrate a solid understanding of number systems including integers, fractions, decimals, and real numbers as required by the ZIMSEC syllabus
- Apply set language and notation to classify, compare, and solve problems using Venn diagrams
- Solve practical financial mathematics problems involving profit, loss, interest, tax, and hire purchase
- Calculate perimeter, area, surface area, and volume of standard 2D and 3D shapes using correct units
- Plot, interpret, and analyse graphs of linear functions and solve simultaneous equations graphically
- Manipulate algebraic expressions, solve equations and inequalities, and factorise polynomials with confidence
- Apply geometric theorems involving angles, triangles, circles, and transformations to solve riders
- Collect, organise, and interpret statistical data using measures of central tendency, and calculate basic probabilities
- Perform matrix operations and apply matrices to solve systems of equations and transformations
- Use trigonometric ratios (sine, cosine, tangent) to solve right-angled and non-right-angled triangle problems
- Represent and manipulate vectors in two dimensions and apply vector methods to geometric proofs
How it works
A school that adapts to you
This isn't a set of static videos. Every lesson is generated live and tuned to where you actually are.
We learn your level
A quick placement check tailors your starting point so you're never bored or lost.
Lessons adapt as you go
Each lesson is written for your pace and your goal, adjusting as your skills grow.
Your AI coach keeps you moving
Checkpoints, feedback, and gentle nudges turn progress into a real result.
The curriculum
What's inside your school
11 modules · 36 lessons

Number Systems
Lay the foundation of mathematics by exploring the structure of numbers — from natural numbers and integers to rational, irrational, and real numbers. Students learn number operations, factors, multiples, prime numbers, and standard form as specified in the ZIMSEC syllabus.
- 1.1Natural Numbers, Integers, and the Number LineIncluded
- 1.2Fractions, Decimals, and PercentagesIncluded
- 1.3Factors, Multiples, and Prime NumbersIncluded
- 1.4Powers, Roots, and Standard FormIncluded
Set Language and Notation
Introduce the language of sets — defining sets, membership, subsets, unions, intersections, and complements — and apply Venn diagrams to solve both abstract and real-life problems as required by ZIMSEC.
- 2.1Defining Sets and Set NotationIncluded
- 2.2Union, Intersection, and ComplementIncluded
- 2.3Solving Problems with Venn DiagramsIncluded
Financial Mathematics
Apply mathematics to real-world financial situations including profit and loss, simple and compound interest, hire purchase, exchange rates, and taxation — all examined contexts in the ZIMSEC O-Level paper.
- 3.1Profit, Loss, and Percentage ChangeIncluded
- 3.2Simple and Compound InterestIncluded
- 3.3Hire Purchase, Tax, and Exchange RatesIncluded
Measures and Mensuration
Master the measurement of length, mass, time, temperature, and capacity using correct units and conversions, and calculate perimeter, area, surface area, and volume of standard 2D and 3D shapes.
- 4.1Units of Measurement and ConversionIncluded
- 4.2Perimeter and Area of 2D ShapesIncluded
- 4.3Surface Area and Volume of 3D ShapesIncluded
Graphs of Linear Functions
Plot and interpret straight-line graphs, find gradients and intercepts, determine equations of lines, and solve simultaneous equations graphically — core skills for ZIMSEC Paper 2.
- 5.1The Cartesian Plane and Plotting PointsIncluded
- 5.2Gradient, Intercepts, and Equation of a LineIncluded
- 5.3Graphical Solution of Simultaneous EquationsIncluded
Algebra
Build strong algebraic skills from simplifying expressions and solving linear equations to factorisation, quadratic equations, and inequalities — forming the backbone of the ZIMSEC O-Level paper.
- 6.1Algebraic Expressions and SimplificationIncluded
- 6.2Solving Linear Equations and InequalitiesIncluded
- 6.3FactorisationIncluded
- 6.4Quadratic EquationsIncluded
Geometry
Investigate angle properties, triangle congruence and similarity, circle theorems, constructions, and transformations — all key elements of the ZIMSEC Geometry syllabus for Forms 2 to 4.
- 7.1Angles and Parallel LinesIncluded
- 7.2Triangles, Congruence, and SimilarityIncluded
- 7.3Circle TheoremsIncluded
- 7.4Geometric Constructions and TransformationsIncluded
Statistics and Probability
Collect, organise, and display data in various forms; calculate and interpret measures of central tendency and spread; and apply theoretical and experimental probability — all as required by ZIMSEC.
- 8.1Data Collection and DisplayIncluded
- 8.2Measures of Central Tendency and SpreadIncluded
- 8.3ProbabilityIncluded
Matrices
Introduce matrix notation, perform matrix arithmetic (addition, subtraction, multiplication), find determinants and inverses of 2×2 matrices, and use matrices to solve simultaneous equations.
- 9.1Matrix Notation and Basic OperationsIncluded
- 9.2Matrix MultiplicationIncluded
- 9.3Determinants, Inverses, and Solving EquationsIncluded
Trigonometry
Define and apply sine, cosine, and tangent ratios in right-angled triangles, use the sine and cosine rules for non-right-angled triangles, and solve bearing and elevation problems.
- 10.1Trigonometric Ratios in Right-Angled TrianglesIncluded
- 10.2Angles of Elevation, Depression, and BearingsIncluded
- 10.3Sine Rule, Cosine Rule, and Area FormulaIncluded
Vectors
Represent vectors in two dimensions using column vector notation, perform vector arithmetic, find magnitudes, and apply vectors to geometric proofs and position vector problems as examined at ZIMSEC O-Level.
- 11.1Introduction to Vectors and Column NotationIncluded
- 11.2Vector Addition, Subtraction, and Scalar MultiplicationIncluded
- 11.3Magnitude, Position Vectors, and Geometric ApplicationsIncluded
Who it's for
Is this you?
O Level Students
Prepares candidates for final Examinations
O Level repeats
Have you failed your Exam? And want to rewrite? This is for you.
Form 1 Students
Starting Secondary Mathematics or want to build a strong foundation, then this is for you.
Questions
Frequently asked
Your teacher
A note from your teacher
Renstay College
Hello and welcome! I'm so glad you've chosen to take your Mathematics journey seriously — and I'm here to walk every step of it with you. I've spent years teaching ZIMSEC Mathematics, watching students transform from anxious, unsure learners into confident exam candidates, and I've built this course around exactly what works in that process. I know where students get stuck — whether it's factorising quadratics, constructing geometric proofs, or making sense of vectors for the first time — and I've designed each lesson to address those moments head-on. My teaching style is straightforward and practical: I'll always show you the concept, walk you through a worked example, and then give you the chance to try it yourself. Mathematics is not a spectator sport — you have to do it to learn it, and that's what we'll do together. Whether you're in Form 1 taking your first steps or in Form 4 preparing for the big exam, I'm committed to helping you get the grade you deserve. Let's get to work!
— Renstay College
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- 11 modules, 36 lessons
- AI-adaptive lessons tuned to your level
- Quizzes & checkpoints to lock in progress
- Your own AI learning coach
- Learn on any device, at your pace
- Full access for as long as you're subscribed
