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    MAT Mathematics Sample Paper 2026: Practice Questions, Formulas, Cheat Sheet & Tips

    MAT Mathematics Sample Paper 2026: Practice Questions, Formulas, Cheat Sheet & Tips

    Team Careers360Updated on 29 May 2026, 12:43 PM IST

    With the MAT 2026 exam scheduled for May 31, 2026 (PBT) and June 14, 2026 (CBT), candidates should strengthen their Mathematics preparation through regular practice of sample papers and topic-wise questions. Solving MAT 2026 Mathematics sample papers helps improve calculation speed, accuracy, and shortcut application. It also makes one familiar with important topics like arithmetic, algebra, geometry, and data interpretation.

    This Story also Contains

    1. MAT 2026 Mathematics Exam Pattern Overview
    2. MAT Mathematics Topic Wise Weightage
    3. Benefits of Solving MAT 2026 Mathematics Practice Questions
    4. MAT Quantitative Aptitude Formula Cheat Sheet
    5. MAT Exam Math Practice: Topicwise Breakdown
    6. Key Formulas to Remember for MAT 2025 Mathematics:
    7. How to Use MAT 2026 Math Practice Tests Effectively
    8. Best Resources to Find the MAT Sample Paper 2026
    9. Common Challenges in MAT 2026 Mathematics and How to Overcome Them
    MAT Mathematics Sample Paper 2026: Practice Questions, Formulas, Cheat Sheet & Tips
    MAT Mathematics Mock Test Practice with Sample Questions & Solutions

    In this article, we have discussed the sample paper, formulas, cheat sheet and best resources for the MAT Mathematics section.

    MAT 2026 Mathematics Exam Pattern Overview

    The MAT 2026 Mathematics section has undergone some important changes in the new exam structure. Till last year, there were 40 Mathematics questions out of 200. Now, with the revised MAT 2026 exam pattern, the paper has 150 questions in total, out of which 30 questions are from Mathematical Skills, making it 20% of the exam. All questions are multiple-choice (MCQs) with four answer options, and candidates get 150 minutes for the complete test, without any sectional time limits.

    MAT Mathematics Topic Wise Weightage

    1780033360074

    Key Topics Covered in the Mathematics Section

    The syllabus covers a wide range of Quantitative Aptitude topics. Some of the most important ones include:

    Topic Area

    Important Subtopics

    Arithmetic

    Profit & Loss, Averages, Ratio & Proportion, Mixtures & Alligations, Time & Work, Time, Speed & Distance, Percentages, Simple Interest & Compound Interest

    Algebra

    Linear & Quadratic Equations, Inequalities, Sequences & Series, Binomial Theorem, Complex Numbers

    Geometry & Mensuration

    Lines, Angles, Triangles, Circles, Polygons, Surface Area & Volume

    Trigonometry

    Height & Distance, Trigonometric Ratios, Identities

    Probability & Statistics

    Probability, Mean, Median, Mode, Data Interpretation

    Combinatorics & Set Theory

    Permutations & Combinations, Set Theory, Venn Diagrams

    Other Topics

    Linear Programming, Commercial Maths, Elementary Maths, Unitary Method

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    Benefits of Solving MAT 2026 Mathematics Practice Questions

    Solving MAT Mathematics Practice Questions is very useful for enhancing core concepts and learning new types of problems.

    • Consistent MAT Exam Math Practice will increase your accuracy. Once you make a mistake, analyze them. Then you will not repeat that mistake.

    • The more you practice, you become familiar with common pitfalls and mistakes. Then you have more chances to rectify those mistakes.

    • Once you are familiar with the pattern of the questions, then you can strategically allot time for each type of question.

    • Continuous practice helps you to memorize shortcut tips and techniques, which will eventually be useful for solving questions in less time.

    • Repeated practice creates muscle memory of important formulae and helps us to know when to use them to solve problems quickly.

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    Impact of Consistent Practice on MAT Math Performance

    For a comprehensive MAT Preparation Mathematics plan, consistent practice holds the key. Some of the impacts of consistent practice are:

    • Build a core conceptual understanding of important topics like Arithmetic, Algebra, and Geometry.

    • You will solve questions with more speed and accuracy.

    • Repeated practice will help you to identify shortcuts which will save you time during the exam. You can use that time on the other sections.

    • After solving diverse problems and scoring good marks in the mock test, you will gain much-needed confidence before appearing in the exam.

    MAT Preparation Tips, Study Material & Mock Test
    Candidates can download this eBook to check MAT 2026 section-wise preparation tips, latest exam pattern, previous year paper analysis & Important books.
    Download EBook

    Common Mistakes to Avoid in MAT Mathematics

    • During preparation, students often rush to solve advanced mathematics skipping the basics. It is very fundamental to have a clear understanding of the basic concepts. Then gradually move to a higher level.

    • Students often do not read the full questions and start calculating after reading one or two lines. This leads to misinterpretation of the question, and wrong answers are derived from the calculation.

    • Overcomplicating a simple solution and getting confused is a very common mistake among students. This often leads to a wrong answer and a waste of important time.

    • Reviewing MAT 2026 mock test results is also beneficial. Students often tend to not check the explanations and move on to the next test.

    • Students often need to be more active in their stronger sections and practice those topics less. Concentrating on your stronger areas is equally important like strengthening weaker sections.

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    MAT Quantitative Aptitude Formula Cheat Sheet

    Candidates can have a look at the MAT Quantitative Aptitude formula cheat sheet below:

    1780033360134

    MAT Exam Math Practice: Topicwise Breakdown

    Here are some sample questions from previous years on important chapters like algebra, geometry and trigonometry.

    Algebra Questions in the MAT Exam

    Q1. What is the solution of the following equations?

    $2x + 3y = 12$ and $3x - 2y = 5$

    1) $x = 3, y = 2$

    2) $x = 2, y = 3$

    3) $x = -2, y = 3$

    4) $x = 3, y = -2$

    Answer:

    Given: The equations are $2x + 3y = 12$ and $3x - 2y = 5$.

    Find the values of the variables $x$ and $y$ by solving the simultaneous linear equations.

    Equation (1): $2x + 3y = 12$

    Equation (2): $3x - 2y = 5$

    Multiply equation (1) by 2 and equation (2) by 3 and add them:

    $2(2x + 3y) + 3(3x - 2y) = 2 \times 12 + 3 \times 5$

    $\Rightarrow 4x + 6y + 9x - 6y = 24 + 15$

    $\Rightarrow 13x = 39$

    $\Rightarrow x = 3$

    Substitute $x = 3$ into equation (1):

    $2 \times 3 + 3y = 12$

    $\Rightarrow 6 + 3y = 12$

    $\Rightarrow 3y = 12 - 6$

    $\Rightarrow 3y = 6$

    $\Rightarrow y = 2$

    Hence, the correct answer is $x = 3$, $y = 2$.

    Q2. If the equations $k(21x^2 + 24) + rx + (14x^2 - 9) = 0$ and $k(7x^2 + 8) + px + (2x^2 - 3) = 0$ have both roots common, then the value of $p/r$ is:

    1) $1/3$

    2) $2/5$

    3) $4/3$

    4) $7/5$

    Answer:

    Since the roots of the equations are common, the coefficients are in proportion.

    Equation 1 can be rewritten as:

    $(21k + 14)x^2 + rx + (24k - 9) = 0$

    Equation 2 can be rewritten as:

    $(7k + 2)x^2 + px + (8k - 3) = 0$

    Therefore,

    $\frac{21k+14}{7k+2} = \frac{24k-9}{8k-3}$

    $\Rightarrow \frac{r}{p} = \frac{24k-9}{8k-3}$

    $\Rightarrow \frac{r}{p} = \frac{3(8k-3)}{8k-3}$

    $\Rightarrow \frac{r}{p} = 3$

    $\Rightarrow \frac{p}{r} = \frac{1}{3}$

    Hence, the correct answer is $1/3$.

    Geometry and Mensuration in MAT Math Sample Papers

    Q1. In the following figure, DE is the angle bisector of ∠ADB while EF is the angle bisector of ∠AED, if AB = AC, BE : EA = 3 : 2 and ED II AC, then what is the EF : BD?

    1727155385466

    1. 2 : 3 (Correct answer)

    2. 1 : 1

    3. 5 : 3

    4. 10 : 9

    Answer:

    In triangle ABD, DE is the angle bisector of ∠ADB.

    By using the angle bisector theorem, we get,

    BE : EA = BD : DA = 3 : 2

    As ED || AC, BE : EA = BD : DC = 3 : 2

    Since AB = AC, ∠ABC = ∠ACD = ∠EDB (Since ED || AC).

    In triangle AED, EF is the angle bisector of ∠AED.

    Thus EA : ED = AG : GD = 2 : 3

    So, EF is parallel to BC.

    ∴ EDCF is parallelogram and DC=EF.

    Now we know that BD : DC = 3 : 2

    Therefore, BD : EF = 3 : 2

    ⇒ EF : BD = 2 : 3

    Hence, the correct answer is 2 : 3.

    Q2. If 12 spheres of the same size are made by melting a solid cylinder of 16 cm diameter and 2 cm height, then the diameter of each sphere will be:

    1. 2 cm
    2. 4 cm (Correct answer)
    3. 3 cm
    4. 6 cm

    Answer:

    Volume of cylinder
    $= \pi r^2 h = \pi \times 8^2 \times 2 = 128\pi ,\text{cm}^3$

    Let the radius of each sphere be $r ,\text{cm}$.

    According to the question,

    $12 \times \frac{4}{3} \pi r^3 = 128\pi$
    $\Rightarrow 16 \pi r^3 = 128\pi$
    $\Rightarrow r^3 = 8$
    $\Rightarrow r = 2 ,\text{cm}$

    $\therefore$ Diameter $= 2 \times 2 = 4 ,\text{cm}$

    Hence, the correct answer is $4 ,\text{cm}$.

    Trigonometry and Coordinate Geometry in MAT Practice Tests

    Q1. Which of the following is equal to (1/tanθ) + tan θ?

    1. secθ cosecθ
    2. 1
    3. cosecθ/secθ
    4. tan2θ

    Answer:

    Given: The trigonometric expression is $(\frac{1}{\tan\theta}) + \tan\theta$.

    We know the trigonometric identity $ \sec^2\theta = 1 + \tan^2\theta $.

    So, $(\frac{1}{\tan\theta}) + \tan\theta$
    $= \frac{1 + \tan^2\theta}{\tan\theta}$
    $= \frac{\sec^2\theta}{\tan\theta}$
    $= \frac{\sec^2\theta}{\sin\theta} \times \cos\theta$
    $= \sec\theta \csc\theta$

    Hence, the correct answer is $ \sec\theta \csc\theta $.

    Q2. Find the coordinates of the points where the graph 57x – 19y = 399 cuts the coordinate axes.

    1. x-axis at(–7, 0) and y-axis at (0, –21)
    2. x-axis at(–7, 0) and y-axis at (0, 21)
    3. x-axis at (7, 0) and y-axis at (0, –21)
    4. x-axis at (7, 0) and y-axis at (0, 21)

    Answer:

    Given the equation:
    $57x - 19y = 399$

    Divide the entire equation by $399$:

    $\frac{57x}{399} - \frac{19y}{399} = 1$
    $\Rightarrow \frac{x}{7} - \frac{y}{21} = 1 \quad \text{(i)}$

    Comparing with the standard equation of a line in intercept form:
    $\frac{x}{a} + \frac{y}{b} = 1$

    We get:
    $x$-intercept $a = 7$
    $y$-intercept $b = -21$

    Thus, the line $57x - 19y = 399$ cuts the axes at:
    $x$-axis at $(7, 0)$ and $y$-axis at $(0, -21)$

    Hence, the correct answer is $(7, 0)$ and $(0, -21)$.

    Key Formulas to Remember for MAT 2025 Mathematics:

    Mastering key formulas is crucial for solving MAT Mathematics questions quickly and accurately. This section highlights the essential formulas you must remember to boost your speed and score.

    Essential Algebraic Formulas for MAT 2025 Preparation

    Algebraic Identities of Two Variables

    • $(a+b)^2 = a^2 + 2ab + b^2$
    • $(a-b)^2 = a^2 - 2ab + b^2$
    • $a^2 + b^2 = (a+b)^2 - 2ab = (a-b)^2 + 2ab$
    • $a^2 - b^2 = (a+b)(a-b)$
    • $(x+a)(x+b) = x^2 + (a+b)x + ab$
    • $(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 = a^3 + b^3 + 3ab(a+b)$
    • $(a-b)^3 = a^3 - 3a^2b + 3ab^2 - b^3 = a^3 - b^3 - 3ab(a-b)$
    • $a^3 + b^3 = (a+b)(a^2 - ab + b^2)$
    • $a^3 - b^3 = (a-b)(a^2 + ab + b^2)$

    Algebraic Identities of Three Variables

    • $(a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca$
    • $a^2 + b^2 + c^2 = (a+b+c)^2 - 2ab - 2bc - 2ca$
    • $a^3 + b^3 + c^3 - 3abc = (a+b+c)(a^2 + b^2 + c^2 - ab - bc - ca)$
    • If $a+b+c = 0$, then $a^3 + b^3 + c^3 = 3abc$

    Trigonometric Formulas for Quick Solving

    Pythagoras theorem

    $\text{Hypotenuse}^2 = \text{Base}^2 + \text{Perpendicular}^2$

    Trigonomertic ratios

    • $\sin \theta = \frac{\text{Perpendicular}}{\text{Hypotenuse}}$
    • $\cos \theta = \frac{\text{Base}}{\text{Hypotenuse}}$
    • $\tan \theta = \frac{\text{Perpendicular}}{\text{Base}}$
    • $\csc \theta = \frac{\text{Hypotenuse}}{\text{Perpendicular}}$
    • $\sec \theta = \frac{\text{Hypotenuse}}{\text{Base}}$
    • $\cot \theta = \frac{\text{Base}}{\text{Perpendicular}}$

    Relationship between trigonometric ratios

    • $\sin \theta = \frac{1}{\csc \theta}$
    • $\cos \theta = \frac{1}{\sec \theta}$
    • $\tan \theta = \frac{1}{\cot \theta}$
    • $\csc \theta = \frac{1}{\sin \theta}$
    • $\sec \theta = \frac{1}{\cos \theta}$
    • $\cot \theta = \frac{1}{\tan \theta}$

    Basic identities of trigonometry

    • $\sin^2 \theta + \cos^2 \theta = 1$
    • $\sec^2 \theta - \tan^2 \theta = 1$
    • $\csc^2 \theta - \cot^2 \theta = 1$

    Complementary angles

    • $\sin (90^\circ - \theta) = \cos \theta$
    • $\cos (90^\circ - \theta) = \sin \theta$
    • $\csc (90^\circ - \theta) = \sec \theta$
    • $\sec (90^\circ - \theta) = \csc \theta$
    • $\tan (90^\circ - \theta) = \cot \theta$
    • $\cot (90^\circ - \theta) = \tan \theta$

    Geometry and Mensuration Formulas to Memorize

    Area of a triangle

    $\frac{1}{2} \times \text{Base} \times \text{Height}$

    Area of an equilateral triangle

    $\frac{\sqrt{3}}{4} \times \text{side}^2$

    Area of a Scalene triangle/Heron’s formula

    $\sqrt{s(s-a)(s-b)(s-c)}, \text{ where } a, b, \text{ and } c \text{ are the sides and } s = \frac{a+b+c}{2}$

    Area of a Parallelogram

    $\text{Base} \times \text{Height}$

    Area of a Rectangle

    $\text{Length} \times \text{Breadth}$

    Area of a Square

    $\text{Side} \times \text{Side}$

    Area of a Rhombus

    $\frac{1}{2} \times \text{Diagonal}_1 \times \text{Diagonal}_2$

    Area of a circle

    $\pi r^2, \text{ where } r = \text{radius}$

    Circumference of a circle

    $2 \pi r, \text{ where } r = \text{radius}$

    Volume of a cube

    $\text{side}^3$

    Volume of a cone

    $\frac{1}{3} \pi r^2 h, \text{ where } r = \text{radius and } h = \text{height}$

    Volume of a cylinder

    $2 \pi r h, \text{ where } r = \text{radius and } h = \text{height}$

    How to Use MAT 2026 Math Practice Tests Effectively

    MAT 2026 Practice tests will help you to rectify your mistakes and strengthen your weaknesses when you review them properly after each test. Otherwise, your efforts and invested time during these tests will not be able to fulfill its purpose.

    Time Management Tips for MAT 2026 Mathematics Section

    • During preparation for the exam, allot specific time limits for each section like geometry questions will take some more time than algebra questions.

    • Attempt the easier questions first and leave the lengthy ones for the end.

    • Set time limits for every section from the total time. The mathematics section will take 20-25 minutes to be attempted and revised.

    • Use shortcut tricks and formulae to solve the problems.

    • Trust your instincts and sharpen your mental calculations to save time.

    Setting a Study Schedule Around Practice Tests

    Create a fixed routine for every week and follow it strictly. This is a demo routine which will be useful during the preparation.

    Day 1: Morning- Arithmetic; Evening- Trigonometry

    Day 2: Morning- Algebra; Evening- Permutations & Combinations or Sequence & Series (Alternate weeks)

    Day 3: Morning- Geometry; Evening- Practice test

    Day 4: Morning- Analyze the practice test; Evening- Number system

    Day 5: Morning- Mensuration; Evening- Linear programming or Surds & Indices (Alternate weeks)

    Day 6: Morning- Arithmetic and set theory; Evening- Practice test

    Day 7: Morning & Evening- Review and revision

    Creating Your Own Customised MAT Math Practice Sets

    After the review of some MAT 2026 mock test results, identify areas in which you need to focus more. Then create a practice test with questions more from those chapters and some of the questions from other sections. Follow the official exam question pattern and syllabus during the practice test. Choose questions from previous year's sample papers, various educational sites, and books written by top authors. Then set a timer and start taking that test.

    Best Resources to Find the MAT Sample Paper 2026

    Candidates preparing for MAT 2026 should practice sample papers regularly to understand the latest exam pattern, question difficulty, and time management strategies.

    MAT Books

    Candidates can check out the MAT Mathematics books in the table below.

    Book Name

    Author

    Key Features

    Quantitative Aptitude for Competitive Examinations

    R.S. Aggarwal

    Covers arithmetic, algebra, geometry, and extensive practice questions

    Fast Track Objective Arithmetic

    Rajesh Verma

    Helpful for speed maths, shortcuts, and quick calculations

    Magical Book on Quicker Maths

    M. Tyra

    Focuses on Vedic maths tricks and fast-solving methods

    How to Prepare for Quantitative Aptitude for CAT

    Arun Sharma

    Concept-based learning with multiple difficulty levels and mock exercises

    Quantitative Aptitude Quantum CAT

    Sarvesh K Verma

    Advanced problem-solving approaches and topic-wise exercises

    MAT Ebooks

    Careers360 offers helpful MAT 2026 eBooks that you can download in PDF format. These eBooks include tips for each section, the latest exam pattern, solved questions, and sample papers.

    Title

    Download Link

    MAT Sample Paper 2026

    Download Now

    MAT 2026 Preparation Tips, Study Material, Sample Paper & Mock Test

    Download Now

    MAT Previous Year Solved Paper

    Download Now

    MAT Mock Test

    Candidates can find the link to practice MAT Intelligence and Critical Reasoning mock test 2026 in the table below.

    MAT Mock Test

    Attempt Now


    Common Challenges in MAT 2026 Mathematics and How to Overcome Them

    Here are some common challenges and techniques to overcome them in the MAT mathematics section.

    Struggling with Algebra? Practice Tips to Improve

    • Be mindful of common mistakes such as incorrect application of signs or forgetting some terms completely.

    • Solve various types of algebraic problems to get accustomed to every type of problem.

    • Sometimes, substituting values for variables can simplify expressions and make it easier to apply identities.

    Time Management Issues in MAT Math Section

    In the MAT exam, questions in the Mathematics section are comparatively easier than in other MBA entrance exams like CAT or XAT. So time should not be an issue in this section. Still, a proper time management strategy is always preferable.

    • During preparation, allot more time for lengthy questions.

    • Use shortcuts methods, tricks, and mental calculations to save time.

    • Attempt the easier questions first to boost your confidence. Leave the moderate or lengthy ones for the later part of the exam.

    • Eliminate the obvious wrong options. Then you can try to test the option to get the answer. This is a very fast approach to save time.

    How to Overcome Exam Anxiety in MAT Mathematics

    • Practice is the key to getting familiar with all types of questions. The more confident you are, the more anxiety decreases.

    • Simulate a real exam environment during practice sets to feel relaxed during the actual test.

    • Meditation and a good night’s sleep are always good to feel energized.

    • Make a good habit of eating healthy foods. Take a deep breath whenever you feel nervous. This will calm your nerves.

    • Stay positive and confident before and during the exam.

    Frequently Asked Questions (FAQs)

    Q: What are the most frequent question types in the MAT Mathematics section and techniques to solve them faster?
    A:

    Arithmetic: Questions involving profit-loss, time-work, ratios, and percentages can be solved quickly using mental maths or quick calculation techniques. This will save time for other questions.

    Algebra: Memorize all the identity formulae, and practice inequalities and functions.

    Geometry: Study properties of triangles, circles, and polygons and write down all the relevant formulae like calculating their area, surface areas or circumference.

    Number system: Build strong basics in factorization, remainders and practice the divisibility rules.

    Q: How should students approach high-scoring questions in the MAT exam?
    A:

    High-scoring questions should be the priority in the MAT exam to score a good percentile.

    • Always attempt the easier questions quickly and leave the hard ones for the later part of the exam.

    • In mathematics, problems from chapters like Arithmetic, algebra, and geometry are more straightforward and scoring. Focus more on these chapters to maximize your scores.

    • Use efficient problem-solving techniques like approximations, Vedic math, and elimination methods to save time and increase accuracy.

    Q: What are the approaches to solving tricky and complex mathematics problems in the MAT exam?
    A:

    Here are approaches you can use to solve a tricky and complex problem.

    • Break down the problem into smaller and manageable parts.

    • Eliminate the wrong options and try the remaining values to get to the correct answer.

    • Practice advanced-level problems during mock tests to get familiar with all types of problems.

    Q: Why should I practice MAT Mathematics mock tests for 2025?
    A:

    Practicing mock tests helps you get familiar with the exam pattern, improve speed, accuracy, and time management, and identify your strengths and weaknesses in the Mathematical Skills section.

    Q: How can I use mock test results to improve my score?
    A:

    After each test, analyze your mistakes, note recurring weak areas, and revise the related formulas or concepts. Focus on accuracy, timing, and problem-solving shortcuts in subsequent practice sessions.

    Q: How can I use mock test results to improve my score?
    A:

    After each test, analyze your mistakes, note recurring weak areas, and revise the related formulas or concepts. Focus on accuracy, timing, and problem-solving shortcuts in subsequent practice sessions.

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    Questions related to MAT

    On Question asked by student community

    Have a question related to MAT ?

    Hello Dear Student,
    Yes, the Karnataka PGCET MBA 2026 examination is scheduled to be held on June 14, 2026. If your MAT CBT exam is also scheduled on the same date, there is a scheduling conflict between the two examinations. In such a situation, candidates should regularly check the official

    Hello, MAT, SAT score, category, and  rank ke saath selection state-wise cutoff aur merit list par depend karta hai. Aap NMMS result aur merit list updates is link se check kar sakte hain: NMMS Result 2026 Out (State-wise)

    Hello, for VIT Business School (VIT), Vellore, the MAT cutoff is usually around 80–85%. Admission depends on your exam score, academic marks, and interview performance.

    For more information, please check these links: