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Complete Guide to AFCAT maths formulas PDF free download 2026

22 June 2026
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Info Guide

The Numerical Ability section of the AFCAT exam is highly predictable, focusing on foundational arithmetic. We at Exam Bhai provide this comprehensive guide to mastering core formulas, including profit, loss, time-speed-distance, and interest, essential for clearing the cutoff. Access our curated resources and practice consistently to secure your Indian Air Force commission.

What is the Exam?

The Air Force Common Admission Test (AFCAT) is the gateway for becoming a Class-I Gazetted Officer in the Flying and Ground Duty (Technical and Non-Technical) branches of the Indian Air Force. Conducted twice annually by the Indian Air Force, it is a high-stakes exam that tests your mental acuity, general awareness, and numerical proficiency.

Key Highlights 2026

  • Conducting Body: Indian Air Force (IAF)
  • Exam Mode: Computer-Based Test (CBT)
  • Total Questions: 100
  • Maximum Marks: 300
  • Marking Scheme: $+3$ for every correct answer; $-1$ for every incorrect answer.
  • Sections: Numerical Ability, Reasoning & Military Aptitude, Verbal Ability in English, and General Awareness.

Syllabus 2026

Numerical Ability is the cornerstone of your AFCAT score. To score high, you must master the following topics:

TopicKey Concepts
Number SystemDivisibility rules, HCF & LCM, factors
ArithmeticPercentage, Ratio & Proportion, Average
Profit & LossCost price, selling price, marked price, discounts
Time & WorkEfficiency, man-days formula, pipes & cisterns
Time & DistanceRelative speed, trains, boats & streams
InterestSimple and Compound Interest ($A = P(1 + \frac{r}{n})^{nt}$)
MensurationArea and perimeter of 2D/3D shapes

Exam Pattern

The AFCAT exam is designed to test speed and accuracy. You can practice free mock tests for Defence on Exam Bhai to simulate the actual exam environment and identify your weak areas in mathematics.

SectionNo. of QuestionsMarks
Numerical Ability1854
Reasoning & Military Aptitude3296
Verbal Ability in English2575
General Awareness2575
Total100300

Eligibility Criteria

As per the official notifications issued by the Indian Air Force on afcat.edcil.co.in, the eligibility criteria for 2026 are:

  • Age Limit: 20–24 years for the Flying Branch and 20–26 years for Ground Duty branches (as of 1 July 2027).
  • Educational Qualification: Graduation in any discipline with at least 60% marks and mandatory passing of Physics and Mathematics at the 10+2 level.
  • Nationality: Candidates must be Indian citizens.

Application Process

The application process for AFCAT is conducted exclusively online. Candidates must register on the official IAF Career website. Ensure your Aadhar card, marksheets, and digital photograph are ready before filling out the form.

Preparation Strategy

Mathematics in AFCAT is not about complex calculus but about mental speed. We at Exam Bhai recommend a structured approach:

  1. Conceptual Clarity: Build a strong foundation using our free downloadable formula sheet.
  2. Strategic Practice: Use targeted resources to access exclusive study materials for Defence on Exam Bhai.
  3. Mock Tests: Since speed is critical, you should attempt full-length Defence mock exams on Exam Bhai at least twice a week.
  4. Formula Revision: Memorize shortcuts for percentage-to-fraction conversions and interest calculations to save precious seconds.

Cut-Off Trends

Based on historical data and notifications found on official government portals like afcat.edcil.co.in, the cut-off generally fluctuates between 140 and 165 marks out of 300. The Flying Branch consistently records the highest cut-off due to intense competition.

Frequently Asked Questions

Q1: Where can I find the best AFCAT maths formulas PDF? A: You can download our expert-curated PDF directly from the Exam Bhai resource section, designed specifically for the 2026 exam syllabus.

Q2: Is NCERT enough for AFCAT maths? A: NCERT books are excellent for building foundational concepts, but you must augment them with practice questions from previous year papers to understand the exam's specific pattern.

Q3: Is there a separate cut-off for the maths section? A: No, there is no sectional cut-off in AFCAT. You are evaluated on the total score obtained across all sections.

Q4: Can I use a calculator in the exam? A: No, electronic devices, including calculators, are strictly prohibited in the examination hall.

Q5: How many questions should I attempt in the Numerical Ability section? A: To be safe, aim for 15-18 questions with high accuracy. Negative marking makes guessing a risky strategy.

Q6: What is the most important topic in AFCAT maths? A: Time, Speed, and Distance, along with Profit & Loss, are the most frequently asked topics in terms of weightage.

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