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.

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ZIMSEC Mathematics: Form 1 to 4 Complete Course

The beauty of Learning at Renstay College— Enstay

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

38 modules · 248 lessons

Number Concepts and Operations

Build a rock-solid foundation in mathematics by mastering the essential number concepts and operations that underpin the entire ZIMSEC syllabus. In this module, you will explore the different types of numbers — including natural numbers, integers, rational and irrational numbers, and real numbers — and understand how they relate to one another. You will develop confidence in performing the four basic operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, decimals, and directed numbers. Key topics such as factors, multiples, prime numbers, LCM, HCF, powers, roots, and the order of operations (BODMAS) are covered with clear explanations and fully worked examples. By the end of this module, you will have the numerical fluency and problem-solving skills needed to tackle more advanced topics across the course — and to perform with confidence in your ZIMSEC examinations.

1.1Number typesIncluded
1.2Factors and multiplesIncluded
1.3Directed numbersIncluded
1.4Fractions and percentagesIncluded
1.5Order of operationsIncluded
1.6Squares and square rootsIncluded
1.7Cubes and cube rootsIncluded
1.8Irrational numbersIncluded
1.9Number patternsIncluded

Approximations and estimations

In this module, you will develop the essential skill of working with approximate and estimated values — a key component of the ZIMSEC Mathematics syllabus. You will learn how to round numbers to a given number of decimal places and significant figures, apply estimation techniques to check the reasonableness of answers, and use approximations confidently in real-world and exam contexts. Through clear explanations and worked examples, you will build accuracy and number sense that supports your performance across all other areas of mathematics.

2.1Round off numbersIncluded
2.2Decimal placesIncluded
2.3Significant figuresIncluded
2.4EstimationsIncluded
2.5EstimationsIncluded
2.6Significant figuresIncluded
2.7Basic limits of accuracyIncluded
2.8Limits of accuracyIncluded

Ratios, rates and proportions

3.1RatiosIncluded
3.2RatiosIncluded
3.3ProportionsIncluded
3.4RatiosIncluded
3.5RatesIncluded
3.6ProportionsIncluded

Ordinary and standard form

4.1Large and small numbersIncluded
4.2Numbers in standard formIncluded
4.3Operations in standard formIncluded

Number bases

5.1Number bases in everyday lifeIncluded
5.2Place valuesIncluded
5.3Converting numbers from one base to anotherIncluded
5.4Operations in number basesIncluded

Scales and simple map problems

6.1Scale measurementIncluded
6.2Scale drawingIncluded
6.3ScalesIncluded
6.4Length factorIncluded
6.5Area factorIncluded

Sets

7.1Sets and Set notationIncluded
7.2Types of setsIncluded
7.3Venn diagram with two subsetsIncluded
7.4Set Builder NotationIncluded
7.5Venn diagrams with three subsetsIncluded

Consumer arithmetic

8.1Household billsIncluded
8.2Profit and lossIncluded
8.3DiscountIncluded
8.4Household budgetsIncluded
8.5Corporate billsIncluded
8.6Profit and lossIncluded
8.7Simple interestIncluded
8.8Hire purchaseIncluded
8.9Small scale enterprise budgetsIncluded
8.10Bank statementsIncluded
8.11Compound interestIncluded
8.12CommissionIncluded
8.13Hire purchaseIncluded
8.14Foreign exchangeIncluded
8.15Sales and income tax rates (Pay as you earn (PAYE))Included
8.16Value added tax (VAT)Included
8.17Customs and excise dutyIncluded

Measures

9.1Time UnitsIncluded
9.2Mass UnitsIncluded
9.3Length UnitsIncluded
9.4Temperature UnitsIncluded
9.5Capacity UnitsIncluded
9.6Area UnitsIncluded
9.7Volume UnitsIncluded
9.8Capacity UnitsIncluded
9.9Density UnitsIncluded

Mensuration

10.1Perimeter of plane shapesIncluded
10.2Area of plane shapesIncluded
10.3Volume of cuboidsIncluded
10.4Perimeter of plane shapesIncluded
10.5Area of plane shapesIncluded
10.6Volume of cylindersIncluded
10.7Perimeter of combined shapesIncluded
10.8Area of combined shapesIncluded
10.9Volume of cones and pyramidsIncluded
10.10DensityIncluded
10.11Area and volumes of similar shapesIncluded
10.12Surface areaIncluded
10.13Volume of prismsIncluded

Functional Graphs

11.1Cartesian planeIncluded
11.2ScaleIncluded
11.3Co ordinatesIncluded
11.4Cartesian planeIncluded
11.5Table of valuesIncluded
11.6Linear graphsIncluded
11.7ScaleIncluded
11.8Functional NotationIncluded
11.9Linear graphsIncluded
11.10Quadratic graphsIncluded
11.11Cubic graphIncluded
11.12Inverse graphIncluded
11.13Displacement time graphsIncluded
11.14Velocity-time graphsIncluded

Variation

12.1Direct variationIncluded
12.2Direct variationIncluded
12.3Inverse variationIncluded
12.4Joint variationIncluded
12.5Partial variationIncluded

Algebraic Manipulation

13.1Basic arithmetic processes in letter symbolsIncluded
13.2Substitution of valuesIncluded
13.3Algebraic expressionsIncluded
13.4Algebraic fractionsIncluded
13.5Quadratic expressionsIncluded
13.6FactorisationIncluded
13.7Algebraic fractionsIncluded
13.8Highest Common Factor (HCF) and Lowest Common Multiple (LCM) of algebraic expressionsIncluded
13.9Quadratic expressionsIncluded
13.10FactorisationIncluded
13.11Simultaneou s equationsIncluded
13.12Quadratic equationsIncluded
13.13Change of subject in formulae Substitution of valuesIncluded
13.14Algebraic fractionsIncluded
13.15Quadratic expressionsIncluded
13.16FactorisationIncluded
13.17Completing the squareIncluded
13.18Completing the squareIncluded
13.19Quadratic formulaeIncluded

Inequalities

14.1Linear inequalitiesIncluded
14.2Linear inequalitiesIncluded
14.3Number lineIncluded
14.4Cartesian planeIncluded
14.5Simultaneou s inequalitiesIncluded
14.6Graphs of inequalitiesIncluded
14.7Linear programmingIncluded

Indices and Logarithms

15.1Index formIncluded
15.2Laws of indicesIncluded
15.3Highest Common Factor (HCM) and Lowest Common Multiple (LCM) in index formIncluded
15.4Squares and square rootsIncluded
15.5Cubes and cube rootsIncluded
15.6IndicesIncluded
15.7LogarithmsIncluded
15.8Theory of logarithmsIncluded
15.9Equations involving indices and logarithmsIncluded

Points, lines and angles

16.1PointsIncluded
16.2LinesIncluded
16.3AnglesIncluded
16.4Angles,Included
16.5Transversal and parallel linesIncluded
16.6Angles of elevation and depressionIncluded

Bearing

17.1PolygonsIncluded
17.2Properties of polygons (triangles and quadrilateral s)Included
17.3Properties of polygons (pentagon to circleIncluded
17.4Angles properties of polygonsIncluded
17.5Circle theoremsIncluded
17.6Numbers of sides of polygonsIncluded
17.7Circle theoremsIncluded

Similarity and Congruency

18.1Similar and congruent figuresIncluded
18.2Similar trianglesIncluded
18.3Congruent trianglesIncluded
18.4Areas of similar figuresIncluded
18.5Volume and mass of similar solidsIncluded

Construction s and Loci

19.1Constructio n of lines and anglesIncluded
19.2Construction of anglesIncluded
19.3Bisecting lines and anglesIncluded
19.4Constructio n of triangles and quadrilateral sIncluded
19.5Construction of diagram to a scaleIncluded
19.6Define lociIncluded
19.7Construction of lociIncluded

Symmetry

20.1Line symmetry in two dimensionsIncluded
20.2Line symmetry in two dimensionsIncluded
20.3Rotational symmetry in two dimensionsIncluded

Data Collection and Classification

21.1Data collectionIncluded
21.2Data classificationIncluded
21.3Data collectionIncluded
21.4Classification of ungrouped dataIncluded
21.5Collection and classification of grouped dataIncluded

Data Representation

22.1PictogramsIncluded
22.2Bar chartIncluded
22.3Frequency distribution tableIncluded
22.4Bar chartIncluded
22.5Frequency distribution tableIncluded
22.6Pie chartIncluded
22.7Frequency tableIncluded
22.8Bar chartIncluded
22.9Pie chartIncluded
22.10HistogramIncluded
22.11Frequency polygonIncluded
22.12Frequency tableIncluded
22.13HistogramIncluded
22.14Frequency polygonIncluded
22.15Cumulative frequency tableIncluded
22.16Cumulative frequency curveIncluded
22.17Measures of Central TendencyIncluded
22.18MeanIncluded
22.19ModeIncluded
22.20MedianIncluded
22.21Mean, median and mode of grouped dataIncluded
22.22Assumed meanIncluded
22.23Median from cumulative frequency curveIncluded

Measures of Dispersion

23.1QuartilesIncluded
23.2Inter quartile rangeIncluded

Pythagoras Theorem

24.1Introduction to Pythagoras theoremIncluded

Trigonometrical Ratios

25.1Trigonometrical ratios of acute angles: - Sine - Cosine - TangentIncluded
25.2Trigonometrical ratios of acute anglesIncluded
25.3Cosine ruleIncluded
25.4Sine ruleIncluded

Dimension/ Order

26.1Order/Dimension of matricesIncluded
26.2Types of matricesIncluded

Operations

27.1New lessonIncluded
27.2Addition and subtraction of matricesIncluded
27.3Addition and Subtraction of matricesIncluded
27.4Scalar multiplication of matricesIncluded
27.5Multiplication of matricesIncluded

Determinants

28.1Determinants of MatricesIncluded
28.2Singular and non-singular matricesIncluded

Inverse Matrix

29.1Inverse of matrixIncluded
29.2Simultaneous linear equations in 2 variablesIncluded

Definition and Notation

30.1Definition of vectorIncluded
30.2Vector notationIncluded

Types of Vectors

31.1Translation vectorsIncluded
31.2Negative vectorsIncluded
31.3Equal vectorsIncluded
31.4Parallel vectorsIncluded
31.5TranslationIncluded
31.6NegativeIncluded
31.7EqualIncluded
31.8ParallelIncluded
31.9PositionIncluded

Operation

32.1Addition of vectorsIncluded
32.2Subtraction of vectorsIncluded
32.3Addition of vectorsIncluded
32.4Subtraction of vectorsIncluded
32.5scalar multiplicationIncluded
32.6MagnitudeIncluded
32.7Combined vector operationsIncluded
32.8Vector properties of plane shapesIncluded

Translation

33.1Translation of plane figuresIncluded
33.2Translation vector to move a pointIncluded
33.3translation vector to move a plane figure on Cartesian planeIncluded
33.4use of translation vectorsIncluded

Reflection

34.1Reflection of plane figuresIncluded
34.2Reflection of plane figures on a Cartesian plane in the x-axis, y axis, lines of the form y=a and x=bIncluded
34.3Reflection of plane figures in any line and use of matricesIncluded
34.4RotationIncluded
34.5Rotation of plane figures in aIncluded
34.6Rotation of plane figures by drawing and use of matricesIncluded
34.7New lessonIncluded

Enlargement

35.1Enlargement about the origin using a rational scale by drawingIncluded
35.2Enlargement using matrices and about any point using a rational scaleIncluded

Stretch

36.1One-way and two-way stretch using matrices and geometrical methodsIncluded

Shear

37.1Shear using matrices and geometrical methodsIncluded

Probability

38.1Definition of probability termsIncluded
38.2Experimental probabilityIncluded
38.3Experimental probabilityIncluded
38.4Theoretical probabilityIncluded
38.5Single eventsIncluded
38.6Combined eventsIncluded
38.7Application of probabilityIncluded

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

Enstay

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!

— Enstay

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38 modules, 248 lessons
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