AFCAT Maths Preparation Guide 2025: Proven Strategies, Syllabus

The Air Force Common Admission Test (AFCAT) remains one of India’s most popular defence entrance exams, opening doors to ambitious and talented youngsters seeking a career in the Indian Air Force. Among the key sections of the AFCAT paper, mathematics is both highly scoring and often a deciding factor in overall selection.

This guide dives deep into the entire AFCAT maths syllabus, offering proven topic-wise strategies, preparation tips, expert advice, and solutions. Plus, we’ll help you understand why New Careers Academy (NCA) is an outstanding choice for AFCAT coaching, and direct you to helpful video solutions for each critical area.

AFCAT Mathematics: Full Syllabus Breakdown

The mathematics portion generally consists of 18–20 questions, focusing on basic concepts, speed, and accuracy. Here’s a comprehensive rundown:

1. Arithmetic

Percentage
Grasp calculation of ratios, increases/decreases, percentage changes in quantity, and compounded growth.

Profit & Loss
Learn formulas for cost price, selling price, loss/profit % calculations, concepts of discount and markup.

Ratio & Proportion
Understand direct, inverse proportions, partnership problems, and distribution techniques.

Average
Compute simple and weighted averages, find missing values, and solve combined data problems.

Simple & Compound Interest
Master formula usage for time-based growth of money, differences between simple and compound interest, applications in banking and finance word problems.

Time & Work
Solve questions related to individual and group efficiencies, work completion, wages, and days required.

Time, Speed & Distance
Work on trains, relative speed, boat and stream problems, conversions between metric units.

Mixtures & Alligation
Apply rule of alligation, mix proportions, and concentration-based problems.

2. Algebra

Linear Equations
Learn solving techniques for single or multiple unknowns, word problems and applications.

Quadratic Equations
Explore factorization, discriminant method, roots relation, and quadratic applications.

Polynomials
Identify types, degrees, factorization, and manipulations.

Simplification of Expressions
Practice BODMAS rule, simplification of fractions, ratios, surds, and indices.

3. Number System

Prime Numbers
Recognize primes, composite, co-primes, and prime factorization.

LCM & HCF
Apply techniques for Least Common Multiple and Highest Common Factor, solve problems involving divisibility.

Divisibility Rules
Memorize basic rules, apply to large numbers, and check for divisibility.

Remainders & Modular Arithmetic
Use the remainder theorem and modular arithmetic in problem-solving.

4. Geometry

Lines & Angles
Understand theory of parallel lines, corresponding and alternate angles, and basic properties.

Triangles
Master properties, congruency (SSS, SAS, ASA), similarity, and area calculation.

Circles
Solve problems involving chords, tangents, arcs, and central/peripheral angles.

Polygon (Basics)
Learn properties of quadrilaterals, pentagons, and more.

Mensuration
Calculate area, perimeter, volume, surface area of 2D and 3D shapes including rectangles, squares, circles, cylinders, cones, spheres, and cubes.

5. Probability and Statistics

Probability
Focus on basic definitions, sample space, events, and solving elementary probability questions.

Mean, Median, Mode
Compute these measures for datasets, use them in data interpretation and graphs.

6. Trigonometry

Ratios & Identities
Memorize key trigonometric ratios, important identities, and applications.

Heights & Distances
Solve practical problems using trigonometry for measuring heights/distances using angles and ratios.

7. Miscellaneous

Data Interpretation
Work with bar graphs, pie charts, tables, extract and calculate relevant information.

Topic-wise Preparation Strategy

1. Concept Clarity
Always start with understanding the basics. Make sure you can define key concepts and state all formulas by heart.

2. Practice with Examples
Pick questions from previous years and sample papers, starting with simpler ones and moving to more complex/applications.

3. Shortcuts and Tricks
Master calculation shortcuts (e.g., multiplication tricks, quick percentage change, simple interest shortcut formula) to improve speed.

4. Revision Notes
Prepare quick-reference notes for formulas, type of problems, important concepts, and exceptions.

5. Time Management
Set strict time limits while practicing and simulate exam conditions during mock tests.

6. Error Analysis
After every test, review wrong answers, identify problem areas, and revise those topics.

7. Video Solutions for Better Understanding
Refer to video solutions for each topic for step-by-step explanations, visualization, and tips. Video solutions can drastically improve clarity and retention, especially when tackling complex geometry or tricky algebra problems.

Expert Tip: AFCAT Math Video Solutions

For every topic above, high-quality video solutions are invaluable, helping you master problem-solving techniques, visualize concepts, and avoid common mistakes.
Here’s how you can access relevant video solutions for AFCAT Maths topics:

• Search for “AFCAT Maths topic name video solution” (e.g., “AFCAT Profit & Loss video solution”) on YouTube or educational portals.

• Look for tutorials and walkthroughs published by reputed coaching institutes, including New Careers Academy, to ensure quality and alignment with the AFCAT syllabus.

• Many coaching centers offer exclusive access to topic-wise video lectures and live doubt-solving sessions to enrolled students.

Why Choose New Careers Academy for AFCAT Coaching

1. Experienced Faculty

NCA’s math instructors bring decades of teaching experience, deep subject knowledge, and proven expertise in AFCAT preparation.

2. Exam-Focused Study Material

Material is carefully curated: extensive question banks, exhaustive topic notes, previous years’ papers, and real-exam-pattern mock tests. Mathematical concepts are explained in simple, relatable terms.

3. Personalized Guidance

Small batches allow for personalized mentoring and attention to individual problem areas. One-on-one sessions ensure every doubt is cleared.

4. Regular Mock Tests & Evaluation

Weekly unit-wise tests and monthly full-length mock exams track your progress, highlight weak spots, and build your exam temperament.

5. Video Solutions & Doubt Clearing

NCA offers high-quality video solutions for each syllabus topic. If you find yourself stuck, watch step-by-step recorded solutions or join live online/offline sessions for immediate clarification.

6. Motivational Environment

NCA maintains a culture of discipline, positive reinforcement, and ongoing encouragement, ensuring you stay focused and motivated throughout your preparation.

7. Proven Track Record

Each year, NCA students secure top ranks and successfully clear AFCAT, reflecting the institute’s commitment to excellence.

FAQs: AFCAT Maths & Coaching

Q1: Is the AFCAT Maths syllabus tough?
No. The syllabus mainly covers school-level maths. With disciplined study and the right coaching, it’s highly scoring.

Q2: How many maths questions appear in AFCAT?
Typically, 18–20 out of 100 questions in AFCAT are mathematics-based.

Q3: Can non-maths students clear AFCAT maths?
Absolutely! The syllabus is basic. NCA provides tailored support for aspirants from all backgrounds.

Q4: Are video solutions useful for AFCAT maths?
Yes. They clarify problem-solving approaches, offer alternate solutions, and improve understanding through visual learning.

Q5: Does New Careers Academy offer online resources and classes?
Yes. NCA provides both online and offline courses, including video lectures, recorded solutions, and live doubt-clearing sessions.

Q6: Why is exam-oriented coaching beneficial?
Coaching ensures systematic study, expert guidance, peer competition, and ongoing mentorship, helping maximize your AFCAT score.

Q7: How often are mock tests conducted at NCA?
Weekly topic-wise and monthly comprehensive mock tests help you monitor progress and reinforce concepts.

How to Access Video Solutions for AFCAT Maths Topics

Here are actionable steps for AFCAT aspirants:

• Enroll at New Careers Academy and get exclusive access to topic-wise and full-length video solutions.

• Visit NCA’s official YouTube channel or website for free sample video solutions.

• After attending live or recorded classes, practice problem sets and watch corresponding solution videos for instant feedback.

• Use video solutions as a revision aid: re-watch and pause as needed, and create your own summary notes from explanations.

Conclusion: Your Path to AFCAT Success

Cracking the AFCAT Maths section is achievable with a systematic, focused approach:

• Cover the entire syllabus and understand every concept thoroughly.

• Practice a wide range of questions and analyze your mistakes.

• Frequently revisit video solutions for deep learning and retention.

• Leverage quality coaching—New Careers Academy offers proven pedagogy, personal mentorship, and invaluable resources that accelerate your growth.

Your dedication, paired with the right guidance and support, can turn your AFCAT dream into reality. Let your journey start today!