Mathematics EGCSE - Revision & Practice

2-Year Online After-School Programme (5 hours/week)

EGCSE Mathematics (6880) - Core and Extended Curricula · 2 years (Form 4-5)

What you'll learn - curriculum-aligned EGCSE Mathematics

Eswatini EGCSE Mathematics Curriculum Plan. 2-Year Online After-School Programme (5 hours/week). EGCSE Mathematics (6880) - Core and Extended Curricula. 2 years (Form 4-5). Monday-Friday, 1 hour per day. ~300 hours over 2 years

This course is part of Akili Edu's curriculum-aligned lesson library. Each lesson includes interactive content, practice questions, and progress tracking. Full access to all lessons and randomized tests requires a free account or subscription.

Mathematics EGCSE course - lessons, practice, and exam confidence

Syllabus & topics - revision notes and practice tests

Topics & modules

Week 1-3: Types of Numbers and Set TheoryLesson 1.1 Number systems - natural, integers, rational, irrational; Lesson 1.2 Prime factorization, HCF and LCM applications; Lesson 1.3 Directed numbers and number sequences; Lesson 1.4 Set notation and language (∈, ∉, ⊂, ∪, ∩, '); Lesson 1.5 Venn diagrams for 2 sets (Extended: 3 sets)
Week 4-6: Place Value, Estimation and AccuracyLesson 2.1 Rounding to specified accuracy levels; Lesson 2.2 Significant figures and decimal places; Lesson 2.3 Estimation techniques for practical problems; Lesson 2.4 Upper and lower bounds (Extended only); Lesson 2.5 Limits in perimeter and area calculations (Extended)
Week 7-9: Operations and Number PropertiesLesson 3.1 Four operations with directed numbers; Lesson 3.2 Fraction operations (addition, subtraction, multiplication, division); Lesson 3.3 Decimal operations and powers of 10; Lesson 3.4 Order of operations and mixed calculations; Lesson 3.5 Converting between fractions, decimals, and percentages
Week 10-12: Percentages and ApplicationsLesson 4.1 Percentage calculations and one quantity as percentage of another; Lesson 4.2 Percentage change (increase/decrease); Lesson 4.3 Simple interest calculations; Lesson 4.4 Compound interest formula applications; Lesson 4.5 Reverse percentages (Extended only)
Week 13-15: Personal Finance and MoneyLesson 5.1 Currency conversion and exchange rates; Lesson 5.2 Simple and compound interest problems; Lesson 5.3 Tax calculations and financial tables; Lesson 5.4 Rates and bills interpretation; Lesson 5.5 Investment and loan calculations
Week 16-18: Ratio, Proportion and VariationLesson 6.1 Ratio notation and simplification; Lesson 6.2 Dividing quantities in given ratios; Lesson 6.3 Scale factors in practical situations; Lesson 6.4 Direct and inverse variation; Lesson 6.5 Joint variation problems (Extended only)
Week 19-21: Indices and Standard FormLesson 7.1 Positive, negative, and zero indices; Lesson 7.2 Fractional indices and their applications; Lesson 7.3 Index laws and simplification; Lesson 7.4 Standard form notation (A × 10ⁿ); Lesson 7.5 Standard form calculations and problem-solving
Week 22-24: Properties of Shapes and Angle TheoryLesson 8.1 Polygon properties (regular and irregular); Lesson 8.2 Angle properties at points and straight lines; Lesson 8.3 Parallel lines and angle relationships; Lesson 8.4 Triangle and quadrilateral angle properties; Lesson 8.5 Circle angle properties (Extended advanced theorems)
Week 25-27: Geometrical Constructions and SymmetryLesson 9.1 Basic constructions with ruler and compass; Lesson 9.2 Triangle constructions and geometric figures; Lesson 9.3 Angle and perpendicular bisectors; Lesson 9.4 Line and rotational symmetry; Lesson 9.5 Scale drawings and interpretations
Week 28-30: TransformationsLesson 10.1 Reflections in horizontal and vertical lines; Lesson 10.2 Reflections in sloping lines (Extended only); Lesson 10.3 Rotations about given points (multiples of 90°); Lesson 10.4 Translations and enlargements; Lesson 10.5 Combined transformations and function notation (Extended)
Week 31-33: Measurement and MensurationLesson 11.1 Metric units and conversions; Lesson 11.2 Time calculations (12-hour and 24-hour systems); Lesson 11.3 Speed, distance, and time relationships; Lesson 11.4 Density, mass, and volume applications; Lesson 11.5 Reading scales, dials, and timetables
Week 34-36: Area and Perimeter CalculationsLesson 12.1 Rectangles, triangles, and parallelograms; Lesson 12.2 Circles - circumference and area; Lesson 12.3 Trapeziums and composite shapes; Lesson 12.4 Arc length and sector area; Lesson 12.5 Problem-solving with compound shapes
Week 37-39: Volume and Surface AreaLesson 13.1 Cuboids and cylinders; Lesson 13.2 Prisms and their properties; Lesson 13.3 Pyramids, cones, and spheres (formulae given); Lesson 13.4 Composite solids and complex shapes; Lesson 13.5 Problem-solving with 3D shapes (Extended hollow solids)
Week 40-42: Basic TrigonometryLesson 14.1 Pythagoras' theorem applications; Lesson 14.2 Sine, cosine, and tangent ratios; Lesson 14.3 Finding sides in right-angled triangles; Lesson 14.4 Finding angles in right-angled triangles; Lesson 14.5 Angles of elevation and depression
Week 43-45: Bearings and NavigationLesson 15.1 Three-figure bearing notation; Lesson 15.2 Drawing and interpreting bearings; Lesson 15.3 Bearing problems with multiple points; Lesson 15.4 Distance calculations and scale drawings; Lesson 15.5 Navigation applications and problem-solving

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