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Achieving a good percentile on the NMAT Quantitative Ability section is a great achievement. It includes not only careful preparation strategy but also a solid understanding of important mathematical formulas.
Candidates study these important formulas for scoring high on the NMAT 2026 exam. Mastering these formulas and their applications can improve problem-solving skills, accuracy, and chances of getting a high percentile on the NMAT exam.
NMAT Formulas PDF
Preparing for the NMAT Quantitative Skills section can be difficult because of the number of different formulas and shortcut techniques used throughout Arithmetic, Algebra, Geometry, Number System, and Data Interpretation topics. To make revision simple, some of the important NMAT formulas and math shortcuts are arranged in one place.
This NMAT Formulas PDF is a complete quick-revision guide made to help applicants improve their speed, accuracy, and problem-solving efficiency throughout preparation and mock tests. The PDF contains useful formulas, shortcut tricks, and important concepts usually asked in the NMAT exam, which allow students to revise more effectively and prevent calculation mistakes on exam day.
Important NMAT Formulas for Quant Preparation
To score a high percentile in NMAT, memorising important formulas of Quant is important. Some important NMAT Quant formulas include the following:
- Percentage Change: Percentage Change = ((New Value – Old Value) / Old Value) × 100
- Simple Interest: Simple Interest (SI) = (Principal × Rate × Time) / 100
- Compound Interest: Compound Interest (CI) = P(1 + R/n)^(nt)
- Profit and Loss: Profit = Selling Price – Cost Price, Loss = Cost Price – Selling Price
- Average: Average = (Sum of all terms) / (Number of terms)
- Ratio and Proportion: If a : b = c : d, then (a/b) = (c/d)
- Quadratic Equation: For ax² + bx + c = 0, x = (-b ± √(b² – 4ac)) / 2a
- Arithmetic Progression (AP) Sum: Sum = n/2 * (First Term + Last Term)
- Geometric Progression (GP) Sum: Sum = a * (1 – r^n) / (1 – r)
- Distance Traveled when speed and time are given: Distance = Speed × Time
- Time taken to cover a certain distance at different speeds: Time = Speed × Distance
Also Read, NMAT Syllabus 2026 PDF, Section Wise Important Topics
Topic-Wise NMAT Formula Sheet for Quick Revision
Here is a topic-wise NMAT Formula Sheet for quick revision of Quant formulas, organised topic-wise for fast and effective revision.
Number System Formulas
- (aⁿ × bⁿ) = (ab)ⁿ
- aⁿ ÷ aᵐ = aⁿ⁻ᵐ
- a⁰ = 1 (for a ≠ 0)
- Divisibility rule for 2, 3, 4, 5, 6, 8, 9, 11 – must-know for NMAT basic arithmetic.
- HCF × LCM = Product of the numbers
Ratio & Proportion
- a : b = x : y ⇒ a/b = x/y
- a : b = m : n ⇒ a = km, b = kn
- Compound Ratio = (a × c) : (b × d)
- Componendo & Dividendo: (a + b)/(a – b) = (c + d)/(c – d)
Percentages
- Percentage = (Value / Total Value) × 100
- Increase/Decrease:
Final Value = Initial × (1 ± R/100) - Successive change = a + b + (ab/100)
- A is R% more than B ⇒ B is (100R / (100 + R))% less than A
Profit, Loss & Discount
- Profit = SP – CP
- Loss = CP – SP
- Profit % = (Profit / CP) × 100
- Discount % = (Discount / MP) × 100
- SP (with profit) = CP × (1 + P/100)
- SP (with loss) = CP × (1 – L/100)
- Equal gain and loss % on same CP ⇒ Overall Loss % = (x² / 100)
Simple & Compound Interest
- SI = (P × R × T) / 100
- CI = P × (1 + R/100)ᵗ – P
- Population formula: Pₙ = P × (1 + R/100)ⁿ
- Difference between CI & SI (for 2 years) = P × (R/100)²
Time, Speed & Distance
- Speed = Distance / Time
- Distance = Speed × Time
- Time = Distance / Speed
- Average speed (equal distances) = (2xy) / (x + y)
- Relative speed (same direction) = x – y
- Relative speed (opposite direction) = x + y
- Boat and Stream:
Downstream speed = B + R
Upstream speed = B – R
Time & Work
- Work = Rate × Time
- If A can do a job in x days ⇒ A’s 1 day work = 1/x
- Combined work:
(A + B)’s 1 day work = (1/x + 1/y) - Total time = xy / (x + y)
- Work efficiency ∝ 1 / Time
Algebra & Equations
- (a + b)² = a² + 2ab + b²
- (a – b)² = a² – 2ab + b²
- (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
- (a³ + b³) = (a + b)(a² – ab + b²)
- Quadratic Equation: ax² + bx + c = 0
- Roots = [–b ± √(b² – 4ac)] / 2a
- Sum of roots = –b/a, Product of roots = c/a
Progressions
- AP nth term = a + (n–1)d
- Sum of n terms of AP = (n/2)[2a + (n–1)d]
- GP nth term = arⁿ⁻¹
- Sum of n terms of GP = a(rⁿ – 1)/(r – 1)
- HP nth term = 1 / [a + (n–1)d]
Triangles
- Area = ½ × base × height
- Heron’s formula = √[s(s–a)(s–b)(s–c)]
- Pythagoras: a² + b² = c²
Circle
- Area = πr²
- Circumference = 2πr
Rectangle/Square
- Area = l × b, Perimeter = 2(l + b)
- Area (square) = a²
Polygon
- Sum of interior angles = (n – 2) × 180°
Mensuration
- Cube: Volume = a³ ; TSA = 6a²
- Cuboid: Volume = l × b × h ; TSA = 2(lb + bh + hl)
- Cylinder: Volume = πr²h ; CSA = 2πrh
- Cone: Volume = (1/3)πr²h ; Slant height = √(r² + h²)
- Sphere: Volume = (4/3)πr³ ; CSA = 4πr²
Logarithms & Indices
- logₐ(xy) = logₐx + logₐy
- logₐ(x/y) = logₐx – logₐy
- logₐxᵇ = b × logₐx
- logₐ1 = 0 ; logₐa = 1
- Change of base: logₐb = log_cb / log_ca
Permutation, Combination & Probability
- Permutation: nPr = n! / (n–r)!
Combination: nCr = n! / [r!(n–r)!]
Relationship: nCr + nC(r–1) = n+1Cr - Probability:
P(E) = (Favourable outcomes) / (Total outcomes)
P(E’) = 1 – P(E
Also Read, NMAT Online Coaching 2026 By Sayali Kale (334 Scorer)
How to Use NMAT Formula Sheets Effectively During Preparation
The NMAT Quant formula sheet is one of the most effective sources to simplify exam preparation. It helps students to revise important formulas, identify weak topics, and improve problem-solving speed. With easy access to all important formulas, applicants can focus better, avoid last-minute stress, and greatly improve their NMAT 2026 Quantitative Aptitude result. Below are some of the uses of this NMAT formula sheet:
Don't just memorise: Know the derivation and when to apply each formula.
Write them out daily: Take 15 minutes each day writing formulae from memory.
Group related formulas: Connect formulas that are derived from each other.
Use during mock tests: After each mock test, check which formulas you forgot and revise them regularly.
Also Read, NMAT Eligibility Criteria 2026, Age Limit, Duration, Reservation
NMAT Formulas PDF for: Conclusion
The NMAT Formulas PDF is an essential revision resource for candidates preparing for the NMAT Quantitative Skills section. With important formulas, shortcut tricks, and topic-wise concepts arranged in one place, students can revise faster and solve questions more accurately during mock tests and the actual exam.
Regular revision of the NMAT formula sheet can significantly improve calculation speed, confidence, and overall performance. Candidates should combine formula practice with mock tests and sectional practice to maximise their NMAT 2026 preparation and achieve a high percentile.
