Integrated Mathematics - Algebra for Secondary 2 (2025)

Singapore Curriculum — suitable for enrichment alongside Australian primary and secondary learning.

Maths @ Mavis: Integrated Mathematics aims to ensure students are ready to take on the demands of the upper secondary mathematics syllabus and be ready for national (Singapore) examinations.

The examples and questions are paced to help students understand concepts, recognize common steps, see through typical trick questions and apply mathematical knowledge taught and learned.

While the progressive practices ensure familiarity and exposure to a wide variety of question types, there are opportunities to exercise higher order thinking through the challenging questions provided in every topic.

Detailed solutions are included to guide and help students through critical thinking processes.

Contents

• 1 Expansion
• 2 Factorisation: Difference of 2 Squares
• 3 Factorisation: Quadratic Expressions
• 4 Factorisation: Grouping
• 5 Algebraic Fractions: Simplifying of Algebraic Fractions
• 6 Algebraic Fractions: Multiplication and Division of Algebraic Fractions
• 7 Algebraic Fractions: Addition and Subtraction of Algebraic Fractions
• 8 Solving Fractional Equations
• 9 Linear Inequalities
• 10 Changing the Subject of the Formula
• 11 Solving Simultaneous Equations
• 12 Solving Quadratic Equations
• 13 Problem Solving
• Solutions

About the author

Alex Lim received his Bachelor of Science (Applied Mathematics) degree from the National University of Singapore in 2005. He is currently the Mathematics Curriculum Specialist for Mavis Tutorial Centre. He spearheaded the development of the Secondary Mathematics program in Mavis Tutorial Centre and continues to train and conduct workshops for the teachers in the team. Thousands of students have also benefitted from his classes and he remains an active advisor and instructor in related mathematics seminars and camps.