Mathematics Form 3 — JC Exam Year & Bridge to IGCSE

About Course
Maths should make sense. This course teaches every Form 3 topic the way a great teacher would: the why first, then clear worked examples with one step per line, then plenty of practice with tap-to-reveal answers.
It covers two syllabuses at once: the Botswana Junior Certificate (JCE) Mathematics syllabus for Form 3 and the Cambridge Lower Secondary Mathematics framework (Stage 9), which leads straight into IGCSE.
Every unit has:
- a colourful lesson with diagrams, key words and “Watch out!” common mistakes
- 12–15 practice questions at three levels (warm-up, core, stretch) with full step-by-step answers
- Maths Live: Explore it live (move sliders and see the maths change), Why the rule works, a Practice machine with unlimited fresh questions, Spot the mistake and Remember it flashcards
- how the topic appears in the JCE and later in IGCSE
Each term ends with a test, the year has a hands-on project and an end-of-year exam with a full mark scheme.
Form 3 ends with a full JCE-style mock exam (Paper 1: 40 multiple-choice questions, no calculator; Paper 2: 100 marks, Sections A, B and C) and a “Next step: IGCSE” unit that prepares students for the Core or Extended pathway of our IGCSE Mathematics 0580 course.
Units in this course:
- The number system: rational and irrational numbers
- Laws of indices: zero, negative and fractional
- Standard form
- Accuracy, estimation and bounds
- Percentages in finance
- Consumer arithmetic: tax, duty, insurance and bills
- Expanding two brackets and factorising quadratics
- Solving quadratic equations
- Algebraic fractions
- Linear equations and inequalities in two variables
- Simultaneous linear equations
- Rearranging formulae
- Sequences: quadratic and other nth terms
- Graphs of functions
- Direct and inverse proportion
- Matrices II
- Pythagoras’ theorem
- Similarity and congruence
- Volume and surface area: cylinders, pyramids, cones and spheres
- Trigonometry I: sine, cosine and tangent
- Trigonometry II: angles, elevation and bearings
- Arcs and sectors
- Loci and constructions
- Combined transformations and vectors
- Statistics: grouped data, histograms and cumulative frequency
- Probability, sets and Venn diagrams
- Problem solving and JC exam technique
- Next step: IGCSE and calculator skills
Course Content
Term 1 · Indices, standard form, finance and quadratics
Unit 2 · Laws of indices: zero, negative and fractional
Unit 3 · Standard form
Unit 4 · Accuracy, estimation and bounds
Unit 5 · Percentages in finance
Unit 6 · Consumer arithmetic: tax, duty, insurance and bills
Unit 7 · Expanding two brackets and factorising quadratics
Unit 8 · Solving quadratic equations
Unit 9 · Algebraic fractions
Unit 10 · Linear equations and inequalities in two variables
Term 1 test
