Important AFCAT Maths Shortcuts Formulas and Tricks by Experts

By Naveen Singh|Updated : July 16th, 2021

The AFCAT exam is conducted twice a year and if you are appearing in the AFCAT exam in near future, there are 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 on your fingertips to solve the numeric ability of the mathematics question paper. 

The AFCAT exam is conducted twice a year and if you are appearing in the AFCAT exam in near future, there are 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 on your fingertips to solve the numeric ability of the mathematics question paper.

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. Most of us miss this thing as we do not know shortcut tricks. Let’s discuss below important Maths formulas and shortcuts for AFCAT exam:-

  • 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

Some Basic Formulas that you should revise well for scoring high in Maths topic:-

  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.
  • 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.

  • Average:

The average is equal to the total of observations or 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.

  • 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 per cent increase. And when the quantity shrinks then its per cent 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.
  • 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.

  • 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.

  • 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

  • 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 which are relevant for every type of competitive exams.

See also: 60 Days AFCAT Study Plan 2020

Study Plan for AFCAT Maths

You should make basic study plans for your AFCAT Maths exam and have to follow it strictly. For getting a 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 maths syllabus every day. You can follow the above program for better practice to solve the numerical ability problems.

AFCAT Maths Tricks

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

  • Solve the online mock tests and previous year question 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.

AFCAT Maths topic: Conclusion

If you wish to join in Defence services shortly, you should work hard and prepare well for your AFCAT exam. Practice mathematics every day and stay positive during the 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.

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


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Posted by:

Naveen SinghNaveen SinghMember since Jan 2019
Recommended twice for Indian Army in 2011 & 2017. Cleared NDA, CDSE, AFCAT, CAPF Exams.
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Nia Sharma

Nia SharmaJul 16, 2021

Thnk u, sir.

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