9th Class Math Solution 2026 – Punjab Board (Complete Guide with Chapter-Wise Help)

If you are looking for 9th Class Math Solutions (Punjab Board, Pakistan), you are in the right place.

Exercise 1.1

Exercise 1.2

Exercise 1.3

MCQs

Review Exercise

The official textbook is published by
Punjab Curriculum and Textbook Board (PCTB) under the Single National Curriculum (SNC).

In this guide, I’ll explain:

  • Complete chapter list
  • What type of solutions students need
  • How to solve math in board style
  • Important chapters
  • Step-by-step solution strategy
  • Visual concept support
  • FAQs

I’ve helped many 9th class students move from 40% to 85%+ just by fixing their solution method. The biggest mistake students make is not showing proper steps.


📘 9th Class Mathematics – Chapter List

Chapter No.Chapter Name
1Matrices & Determinants
2Real & Complex Numbers
3Logarithms
4Algebraic Expressions & Formulas
5Factorization
6Algebraic Manipulation
7Linear Equations & Inequalities
8Introduction to Coordinate Geometry
9Congruent Triangles
10Parallelograms & Triangles
11Line & Angle Bisectors
12Area Theorems

📊 Chapter 1 – Matrices & Determinants (Solution Approach)

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4

How to Solve:

  1. Write matrix properly.
  2. Apply correct formula.
  3. Show determinant step clearly.
  4. Simplify neatly.

Common Mistake:

Students forget sign changes in determinant.


📈 Chapter 3 – Logarithms (Solution Method)

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https://study.com/cimages/multimages/16/log_system_1_step_3.png
https://sites.nicholas.duke.edu/statsreview/files/2018/05/LogRules.png

4

Important Laws:

  • log(ab) = log a + log b
  • log(a/b) = log a − log b
  • log(aⁿ) = n log a

Exam Tip:

Always mention the law you are applying.


📐 Chapter 5 – Factorization (Very Important)

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4

Board Style Steps:

  1. Write expression.
  2. Split middle term.
  3. Take common factor.
  4. Final bracket form.

⭐ High scoring chapter.


📊 Chapter 7 – Linear Equations & Inequalities

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https://www.onlinemathlearning.com/image-files/system-equations-substitution.png
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4

How to Solve:

  • Use elimination or substitution.
  • For graph questions, draw axes clearly.
  • For inequalities, reverse sign when multiplying by negative.

📐 Geometry Chapters (Proof-Based Solutions)

These chapters require logical writing.

Congruent Triangles

https://images.openai.com/static-rsc-3/JQmpF2kPMUaGQkn8dbYZCkq3rr20S05dft5P-YgvecygqSqnx3wOA288diHE_RP1Z_qEKILIM1mVs7E9ABMc2Kxn4C8B6n-QBO-oq2Momg0?purpose=fullsize&v=1
https://images.openai.com/static-rsc-3/faJDyD9xIvkAYeAYrfROec5kYz4DCzu_uD0zX0UTCQ8hMrg1fOPCJVz_VITRe7pY0Vffx4hMuwA5pXbfGF44nPQbY3xGdFrHn-p2iIQ-Pdk?purpose=fullsize&v=1
https://www.geometrycommoncore.com/content/unit1/gco10/images/g.co.10notes2a.png

4

Board Style Proof Writing:

Given:
To Prove:
Construction (if needed):
Proof (Step by Step with reason)

Students lose marks because they skip reasons.


📏 Area Theorems

https://static.tutors.com/assets/images/content/tutors-using-herons-formula.jpg
https://images.openai.com/static-rsc-3/YC3Szv4G9TICLuBF4xqEKyX10KMAOT6mXBLaMjnIH4YAPl6lqMt8uI8VgBmb12svMeyJBZ3eh3BcYTJn9rjr6sfpW6Rbih6Npxah0vi6Y-8?purpose=fullsize&v=1
https://www.basic-mathematics.com/images/area-of-a-triangle.png

4

Important Formula:
Heron’s Formula:
Area = √[s(s−a)(s−b)(s−c)]


📊 Paper Pattern (Punjab Board)

SectionMarks
MCQs15
Short Questions36
Long Questions24
Total75

🎯 How to Write Perfect Math Solutions (From Real Experience)

After guiding students for years, here is the method that works:

✅ Show All Steps

Never skip calculations.

✅ Use Proper Formula First

Write formula before substitution.

✅ Box Final Answer

Examiners like clear answers.

✅ Practice Daily

Math improves only by solving.

✅ Revise Formulas Weekly

Keep a formula notebook.


🔥 Most Important Chapters for High Marks

  1. Logarithms
  2. Factorization
  3. Linear Equations
  4. Congruent Triangles
  5. Area Theorems

Focus here for 85%+ marks.


❓ FAQs Students Ask

Is 9th class math difficult?

It feels difficult only if basics are weak.

Is textbook enough?

Yes, if you solve all exercises.

How to get 90% in math?

Practice daily and solve past 5 years papers.


Final Advice

9th class math builds the base for:

  • 10th class math
  • FSC Pre-Engineering
  • ECAT
  • Engineering careers

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