Complete Mathematics Portal

G.C.E. A/L 2028 Preparation & University Level Mathematics Combined Curriculum

A/L 2028 Preparation
University Level
Competitive Exams
Advanced Practice

Complete Mathematics Curriculum

Master advanced mathematics for university entrance exams, engineering degrees, and competitive tests. This comprehensive curriculum covers all 27 essential topics from basic to advanced levels.

Learning Approach

Each topic includes comprehensive lessons, learning outcomes, mathematical equations, and advanced practice questions at three difficulty levels (Beginner, Intermediate, Advanced).

Study Progress Tracker

Track your monthly progress through the Combined Mathematics curriculum. Click on any month to access learning materials, payment information, and support.

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Term-Wise Study Plan

Select your grade and term to view the detailed study plan with competency levels, topics, and periods.

Grade 12 - First Term

Competency Levels Subject Topics Periods
1.1, 1.2 Real numbers 02
2.1, 2.2 Functions 04
8.1, 8.2 Angular measurements 02
17.1, 17.2 Rectangular cartesian system, Straight line 03
9.1, 9.2, 9.3, 9.4 Circular functions 12
11.1 Sine rule, cosine rule 01

Related Curriculum Topics

These topics are covered in detail in the Complete Curriculum section:

  • Real Number System
  • Functions and Relations
  • Coordinate Geometry
  • Trigonometry

Grade 12 - Second Term

Competency Levels Subject Topics Periods
3.1, 3.2 Quadratic functions and equations 25
12.1, 12.2, 12.3 Inverse trigonometric functions 08
11.2 Sine rule, cosine rule 06
13.1-13.8 Limits 18
2.3-2.7 System of coplanar forces 23

Related Curriculum Topics

  • Quadratic Equations
  • Trigonometric Equations
  • Calculus - Limits
  • Mechanics - Forces

Grade 12 - Third Term

Competency Levels Subject Topics Periods
14.1-14.8 Derivatives 30
15.1-15.4 Applications of derivatives 15
3.4 Projectiles 08
2.8 Equilibrium of three coplanar forces 08
2.9 Friction 10

Related Curriculum Topics

  • Differential Calculus
  • Applications of Derivatives
  • Vector Applications
  • Mechanics - Motion

Grade 13 - First Term

Competency Levels Subject Topics Periods
18.1-18.5 Straight line 16
16.1-16.9 Integration 28
2.10 Jointed rods 10
2.11 Frame works 10
3.10-3.13 Relative motion 30

Related Curriculum Topics

  • Integration
  • Vector Applications
  • Coordinate Geometry
  • Mechanics - Advanced

Grade 13 - Second Term

Competency Levels Subject Topics Periods
26.1, 27.1-27.5 Circle 15
24.1, 24.2, 24.3, 24.5 Permutations and Combinations 15
19.1 Principle of Mathematical Induction 05
20.1, 20.2, 21.1, 21.2 Series 18

Related Curriculum Topics

  • Permutations & Combinations
  • Sequences & Series
  • Circles and Sectors
  • Mathematical Proofs

Grade 13 - Third Term

Competency Levels Subject Topics Periods
4.1, 4.2 Probability 10
3.17-3.19 Simple harmonic motion 18
2.12-2.17 Center of mass 20
22.1-22.3 Binomial expansion 12
23.1-23.6 Complex numbers 18

Related Curriculum Topics

  • Probability
  • Complex Numbers
  • Binomial Theorem
  • Statistics

Practice Materials

Comprehensive practice materials with 4000+ problems, categorized by term, difficulty level, and topic. Download complete sets or individual practice papers.

Grade 12 - Term 1

Beginner Level
400
Exercises
20
Essays
100
Short Qs

Topics: Real Numbers, Functions, Trigonometry, Coordinate Geometry

Grade 12 - Term 2

Intermediate
500
Exercises
30
Essays
150
Short Qs

Topics: Quadratic Equations, Limits, Mechanics, Inverse Trig

Grade 12 - Term 3

Advanced
600
Exercises
40
Essays
200
Short Qs

Topics: Derivatives, Applications, Projectiles, Friction

Grade 13 - Term 1

Advanced
550
Exercises
25
Essays
250
Short Qs

Topics: Integration, Straight Line, Jointed Rods, Relative Motion

Grade 13 - Term 2

Expert
700
Exercises
50
Essays
300
Short Qs

Topics: Circle, Permutations, Series, Induction

Grade 13 - Term 3

Exam Level
800
Exercises
60
Essays
500
Short Qs

Topics: Probability, SHM, Complex Numbers, Binomial

Practice Level System

Level 1: Foundational
Level 2: Intermediate
Level 3: Advanced
Level 4: Expert

Total Practice Materials: 4,550 exercises | 225 essays | 1,500 short questions | 40 full exams

Learning Resources

Textbooks & References

References

Complete collection of recommended textbooks, solution manuals, and reference materials for Combined Mathematics.

Video Lectures

Tutorials

500+ hours of video lectures covering all topics, exam techniques, and problem-solving strategies.

Interactive Tools

Calculators

Graph plotters, equation solvers, geometry visualizers, and specialized mathematics calculators.

Past Papers

Exams

Complete collection of past papers (2010-2023) with marking schemes and examiner reports.

Mobile Apps

Applications

Mathematics learning apps for Android & iOS with offline access and interactive exercises.

Online Community

Support

Join our community of 10,000+ students for discussions, doubt clearing, and study groups.