Important AFCAT Maths Shortcuts Formulas and Tricks by Experts

By Naveen Singh|Updated : February 3rd, 2022

AFCAT Maths Shortcuts Formulas and Tricks: The AFCAT exam is conducted twice a year and if you are appearing in the AFCAT exam in near future, there are a few AFCAT Maths Shortcuts, Formulas, and Tricks to solve the mathematics questions of the AFCAT question paper. You have to keep these tricks and formulas at your fingertips to solve the numeric ability of the mathematics question paper.  These tips and tricks to solve the Maths section in the AFCAT exam will not only save your time but also will help you to improve your accuracy in the AFCAT question paper. In this article we will discuss AFCAT Maths Tips, AFCAT Maths Tricks.

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Mathematics is the most important topic in the AFCAT exam. It is the subject where you can easily score 100% marks. Reasoning ability, fast calculation, and problem-solving techniques are some of the maths tricks of the AFCAT exam that can help you to crack the exam easily. In the AFCAT exam, approx 20 questions are asked from the maths topic and you can easily solve more than 15 questions and can score 50 to 60 marks easily. A few AFCAT Maths shortcut formulas and tricks can help you score better, so read on.

Important AFCAT Maths Shortcuts & Formulas

Shortcut tricks are one of the most useful techniques to crack any competitive exams. Time management is very important for competitive exams and if you know time management everything will be easier for you. You can also check Best Books for AFCAT 1 2022 Exam Preparation. Most of us miss this thing as we do not know shortcut tricks. Let’s discuss below important Maths formulas and shortcuts for the AFCAT exam:-

AFCAT Maths Tricks: Decimal Fraction

In a decimal fraction, the denominator is an integer power of ten and it is expressed by using decimal notation, where the denominator is not clearly mentioned.

Examples of Decimal Fraction are:  1/10 = .1, 1/100 = .01

  • How to Convert a Decimal into Common Fraction?

Let’s put 1 in the denominator under the decimal point and after the decimal point put as many zeros as the number of digits and reduce the fraction to its lowest term and remove the decimal point. For examples: 0.5 = 5/10=1/2

AFCAT Maths Tricks: Basic Formulas 

  1. (a + b)(a – b) = (a2 – b2)
  2. (a + b)2 = (a2 + b2 + 2ab)
  3. (a – b)2 = (a2 + b2 – 2ab)
  4. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
  5. (a3 + b3) = (a + b)(a2 – ab + b2)
  6. (a3 – b3) = (a – b)(a2 + ab + b2)
  7. (a3 + b3 + c3 – 3abc) = (a + b + c)(a2 + b2 + c2 – ab – bc – ac)
  8. When a + b + c = 0, then a3 + b3 + c3 = 3abc.

AFCAT Maths Tricks: Simplification

Learn the rule of ‘BODMAS’: The rule of ‘BODMAS’ is an easy way to learn simplification. The full form of the ‘BODMAS’ rule is as follows:-

  • B-Bracket, O-Of, D-Division, M-Multiplication, A-Addition, S-Subtraction

So, when you are simplifying a problem first remove all the brackets and follow the orders like ‘of’, ‘division’, ‘multiplication’, and at last ‘subtraction’ accordingly.

You Can Also Check : AFCAT question paper

AFCAT Maths Tricks: Average

The average is equal to the total of observations or the number of observations.

Suppose a train runs and covers at a certain distance at x kmph and with an equal distance at y kmph. Then, during the whole journey, the average speed of the train would be  (2xy/x+y) kmph.

AFCAT Maths Tricks: Percentage

  • Percentage means many hundreds. As for example, x% means x hundreds and it should be written as: x%=x/100
  • x/y can be expressed as (x/y x 100)%
  •  The Increase/Decrease of percentage:  When the quantity grows, then we can assume its percent increase. And when the quantity shrinks then its percent decrease.
  • Result on Depreciation: Suppose the present value of a product be M.  If it depreciates at the rate of N% per annum. Then the value of that product after N years = M (1-(N/100) n.

AFCAT Maths Tricks: Ratio

The concept of the ratio can be expressed in the fraction as X: Y. Here, X is the antecedent and Y is the consequent. For example: In the ratio 1:2, 1 is the antecedent and 2 is the consequent.

AFCAT Maths Tricks: Proportion

If two ratios are equal then they are proportional. For example: a: b=c: d. Here, in this example, we can say a, b, c, d are in proportion and a and d are called extremes, while b and c are called mean terms.

AFCAT Maths Tricks: Simple Interest 

Simple Interest (S.I.): It is a very easy method of calculating interests based on the Principal amount of a deposit. Let Principal = P, Rate = R% (p.a.) and Time = T years. Then Simple Interest = PRT/100

AFCAT Maths Tricks: Profit and Loss

  • Cost Price is the price at which a product is purchased. (C.P)
  • Selling Price is the price at which a product is sold.(S.P)
  • Profit or Gain: If S.P is greater than C.P then the seller is having a profit or gain.
  • Loss: If S.P is less than C.P then the seller is having a loss.
  • Loss or gain is always based on C.P.
  • Profit = (S.P.) – (C.P.)
  • Loss = (C.P.) – (S.P.)
  • Suppose, a product is sold at a profit of 10%, then S.P. = 110% of C.P.
  • Suppose, a product is sold at a loss of 20% then S.P. = 80% of C.P.

Try to practice these formulas every day and solve the numerical ability problems in your AFCAT exams. These are the basic mathematical formulas that are relevant for every type of competitive exam.

Study Plan for AFCAT Mathematics

You should make basic study plans for your AFCAT Maths exam and have to follow them strictly. For getting good marks study plan is much necessary. We are providing you with a comprehensive chapter-wise study plan for the Maths topic.

Portions/ Chapters

The total time duration for revision

Revision time for quick tricks and mathematical formulas

Decimal Fraction, Simplification

2 hours (1 hour in each chapter)

20 minutes of revision

Average, Percentage

3 hours(one and a half hours in each chapter)

25 minutes of revision

Ratio, Simple Interest

2 hours (1hour in each chapter)

20 minutes of revision 

Proportion, Profit and Loss

2-3 hours (Morning hours are best)

25 minutes of revision

You must remember that for writing in the AFCAT exam, the minimum practice of mock tests is required to solve mathematical problems. Make a daily schedule and practice all the topics of the maths syllabus every day. You can follow the above program for better practice to solve numerical ability problems.

Mathematics Tips & Tricks for AFCAT

For scoring high marks in the Maths portion in your AFCAT exam, try to follow the tips mentioned below:-

  • Solve the online mock tests and previous year's papers. If you do this before the exam all your doubts will clear and you will become more confident to appear for the AFCAT exam.
  • Time management is very important for solving mathematical problems. Never stuck in one problem for more than 2 minutes. Leave the question if you cannot solve it.
  • Learn all the mathematical formulas by heart and apply shortcuts to solve every mathematical problem.
  • Attempt profit and loss questions first as this is less time-consuming and you can easily score marks. 


If you wish to join Defence services shortly, you should work hard and prepare well for your AFCAT exam. Practice mathematics every day and stay positive during the exam. You must also go through Physical and Medical Standards for AFCAT Exam. Scoring full marks in Maths topic is quite easy if you remember all the formulas and its shortcuts. Try to follow all the above-mentioned maths shortcuts Formulas and tricks that we bring to you for your convenience. You can also check AFCAT Previous Year Cutoff to have an overview of previous trends. 

Latest : AFCAT 1 Admit Card 2022 

A calm and composed mind is the key to scoring high in Maths topics. So, be confident and focus on your paper and try to solve all the questions on time.

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  • A total of 100 questions are asked in AFCAT exam with 3 marks for every correct answer.

  • This section needs a lot of practice, you need to remember basic formulas, you need to make your problem-solving tricks, and also do time management. This way you can score good marks in this section also.

  • The number of questions asked from Maths section in AFCAT Exam are 17-19

  • Quantitative Aptitude for Competitive Examinations by RS Aggarwal/ S Chand

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