FSC Part 1 Maths Notes

Free FSc Part 1 Mathematics (1st Year) resources from Mega Lecture — fully worked exercise solutions for every chapter of the first-year Maths syllabus, organised chapter by chapter. Every file is a downloadable PDF, no sign-up required.

Exercise Solutions by Chapter

Step-by-step solutions to every exercise, in syllabus order.

Chapter 1: Number Systems

• Exercise 1.1
• Exercise 1.2
• Exercise 1.3

Chapter 2: Sets, Functions and Groups

• Exercise 2.1
• Exercise 2.2
• Exercise 2.3
• Exercise 2.4
• Exercise 2.5
• Exercise 2.6
• Exercise 2.7
• Exercise 2.8

Chapter 3: Matrices and Determinants

• Exercise 3.1
• Exercise 3.2
• Exercise 3.3
• Exercise 3.4
• Exercise 3.5

Chapter 4: Quadratic Equations

• Exercise 4.1
• Exercise 4.2
• Exercise 4.3
• Exercise 4.4
• Exercise 4.5
• Exercise 4.6
• Exercise 4.7
• Exercise 4.8
• Exercise 4.9
• Exercise 4.10

Chapter 5: Partial Fractions

• Exercise 5.1
• Exercise 5.2
• Exercise 5.3
• Exercise 5.4

Chapter 6: Sequences and Series

• Exercise 6.1
• Exercise 6.2
• Exercise 6.3
• Exercise 6.4
• Exercise 6.5
• Exercise 6.6
• Exercise 6.7
• Exercise 6.8
• Exercise 6.9
• Exercise 6.10
• Exercise 6.11

Chapter 7: Permutation, Combination and Probability

• Exercise 7.1
• Exercise 7.2
• Exercise 7.3
• Exercise 7.4
• Exercise 7.5
• Exercise 7.6
• Exercise 7.7
• Exercise 7.8

Chapter 8: Mathematical Induction and Binomial Theorem

• Exercise 8.1
• Exercise 8.2
• Exercise 8.3

Chapter 9: Fundamentals of Trigonometry

• Exercise 9.1
• Exercise 9.2
• Exercise 9.3
• Exercise 9.4

Chapter 10: Trigonometric Identities

• Exercise 10.1
• Exercise 10.2
• Exercise 10.3
• Exercise 10.4

Chapter 11: Trigonometric Functions and their Graphs

• Exercise 11.1
• Exercise 11.2

Chapter 12: Application of Trigonometry

• Exercise 12.1
• Exercise 12.2
• Exercise 12.3
• Exercise 12.4
• Exercise 12.5
• Exercise 12.6
• Exercise 12.7
• Exercise 12.8

Chapter 13: Inverse Trigonometric Functions

• Exercise 13.1
• Exercise 13.2

Chapter 14: Solutions of Trigonometric Equations

• Exercise 14

Related resources

• All free study notes & worksheets
• FSc Part 1 Physics notes
• FSc Part 1 Chemistry notes

Frequently asked questions

Where can I download free FSc Part 1 Maths solutions?

Every exercise above is a free PDF — click any to open or download it, no sign-up needed.

What does this cover?

Worked solutions to all exercises across the FSc Part 1 (1st Year) Mathematics syllabus, chapters 1–14.

Are these really free?

Yes, completely free. You can also book a free demo lecture below.