MAT Sample Questions for Mathematics: Boost Your Exam Preparation with Practice Tests

Management Aptitude Test (MAT) is a national-level management entrance. Unlike CAT or XAT, the MAT exam is considered more student-friendly and questions in this exam are comparatively easier than other entrance exams. In this article, we will discuss one of the sections from which questions come in this exam, Mathematics. After analyzing the previous year's MAT Math Sample Paper, students can practice MAT Sample Questions Mathematics to grasp this section well.

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This Story also Contains

1. MAT Sample Questions for Mathematics: Overview
2. Benefits of Solving MAT Mathematics Practice Questions
3. MAT Math Sample Papers: Why They Matter
4. Top Sources for MAT Mathematics Sample Questions
5. MAT Exam Math Practice: Topicwise Breakdown
6. Key Formulas to Remember for MAT Mathematics:
7. How to Use MAT Math Practice Tests Effectively
8. MAT Mathematics Sample Questions: PDF Resources
9. Common Challenges in MAT Mathematics and How to Overcome Them
10. Final Tips to Boost Your MAT Mathematics Preparation

MAT Sample Questions for Mathematics: Overview

Importance of Practice in MAT Mathematics Preparation

The more practice you do in Mathematics the more efficient you will be. Some of the results of consistent practice are:

• You get familiar with the various types of mathematical questions.

• Your speed and accuracy will increase as the time progresses.

• You will develop a strategy to use your time efficiently.

• Practising your weaker areas will build a concept around those topics, and you can easily solve complex problems over time.

• Solving a variety of problems will strengthen your concepts and make you more comfortable.

Understanding the Exam Pattern for MAT Mathematics

Till last year, in MAT exam out of 200 questions, 40 questions were from mathematical skills. This year's MAT syllabus has been changed. Now 30 out of 150 questions are from mathematics, which makes it 20% of the total questions. All questions are multiple-choice questions with 4 options.

The total time to complete the exam is 150 minutes with no sectional time limit.

The difficulty level of the Mathematics Questions for MAT is generally moderate but some of the questions are easier than the others.

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 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.

Benefits of Solving MAT Mathematics Practice Questions

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

How Practice Improves Accuracy and Speed

• 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.

Key Concepts to Focus on for MAT Math Preparation

Some of the most important quant topics are:

1. Profit & loss

2. Averages

3. Ratio and proportion

4. Mixtures & alligations

5. Time & Work

6. Time, Speed, & Distance

7. Venn diagrams

8. Algebra

9. Percentages

10. Simple and compound interest

11. Sequence & Series

12. Permutations & Combinations

13. Inequalities

14. Linear and Quadratic equations

15. Trigonometry

16. Height & Distance

17. Geometry

18. Mensuration

19. Probability

20. Number system

21. Complex numbers

22. Binomial theorem

23. Surds and indices

24. Commercial maths

25. Elementary maths

26. Linear programming

27. Unitary method

28. Set theory

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 Math Sample Papers: Why They Matter

Reviewing MAT Sample Papers of previous years is very important to understand the pattern of the questions of Mathematics. You can also identify your strengths and weaknesses. Attempting a MAT Test Mathematics Sample is a great way to simulate the real exam environment.

Analyzing Previous Year’s MAT Math Questions

As you can in the below chart, every year 40 questions from Mathematics come in the MAT exam.

But the syllabus has changed this year. So instead of 40, 30 questions from Mathematics sections will come in this year's MAT exam.

Structuring Your Preparation with MAT Math Sample Papers

Before starting the preparation for MAT Preparation Mathematics, make a routine and attempt 1-2 sample papers every week. Also, structure your preparation after identifying common and important types of questions from the sample papers and give more attention to them.

Start with some basic sample papers and gradually increase the difficulty level.

After every attempt, review the solutions and understand your mistakes.

Differences Between Actual Exam and Sample Papers

• When you attempt the sample papers, by setting a timer you can create the environment of the exam, but the real exam time pressure is different. Timed tests will help you to have a taste of the anxiety and pressure students feel during the exam, but the actual game is altogether a different ball game.

• Also, the questions you face in MAT Math Practice Tests and the questions that may come in the actual exam may vary a little. Sample papers are set following common patterns, but in the actual exam, you can face unexpected questions.

• Some MAT Exam Math Practice Questions might be easier or harder than the actual test.

Top Sources for MAT Mathematics Sample Questions

Some of the top sources where you can find the MAT Mathematics Sample Questions PDF are the official MAT website, online educational websites, and YouTube channels.

MAT Math Sample Questions PDF Downloads

Best Websites for MAT Mathematics Practice Papers

Here are the names of some practice resources for the MAT exam:

• Previous year’s questions and solutions from the official MAT website

• Oliveboard

• Careers360

• Magoosh Quant Practice

• Career Launcher

• TIME

• Hitbullseye

Offline vs. Online Practice: Which is Better?

Both online and offline practices have their advantages and disadvantages. We have discussed both approaches below.

• Online Practice: Online practice sets naturally simulate real exam environments with time limits. You can take online tests anywhere at your convenience. After giving the test, often there will be detailed feedback and analysis. Some online platforms provide educational guides by teachers and you can strengthen your weaker areas by following them.

In most of the sites, you have to purchase test sets to practice. However, some of the sites provide test sets with lower quality. Free tests are not up to the mark and only give a slight idea about the type of questions that come in the exam. During online practice, often notifications and internet disruption break your concentration.

• Offline Practice: During offline practice through books or printed solved papers, you concentrate fully without having any distractions. Also, some aspirants together can take offline tests setting a time and giving each other feedback. Explanation from a fellow aspirant can often easier to understand a difficult topic.

You can not give offline tests anywhere. You have to set a timer and have a quiet space to give offline tests. The analyzation process after giving offline tests is often time-consuming. This tends students to often not rectify their mistakes. Managing time during offline tests is often challenging and requires self-discipline.

A balanced combination of both approaches is ideal for maximizing your preparation for the MAT Math section.

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 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.

2x + 3y = 12 (equation 1)

3x – 2y = 5 (equation 2)

Multiply equation (1) with 2 and equation (2) with 3 and add them,

2(2x + 3y) + 3(3x – 2y) = 2 × 12 + 3 × 5

⇒ 4x + 6y + 9x – 6y = 24 + 15

⇒ 13x = 39

⇒ x = 3

Substitute the value of x in the equation (1),

2 × 3 + 3y = 12

⇒ 6 + 3y = 12

⇒ 3y = 12 – 6

⇒ 3y = 6

⇒ y = 2

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

Q2. If the equation k(21x2 + 24) + rx + (14x2 – 9) = 0, k(7x2 + 8) + px + (2x2 – 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 equation are common, the coefficients are in proportion.

The equation 1 can be written as, (21k +14)x2 + rx + 24k – 9 = 0

The equation 2 can be written as, (7k + 2)x2 + px + 8k – 3 = 0

Therefore,

(21k+14)/(7k+2) = (24k -9) / (8k-3)

⇒ r/p = (24k-9)/(8k-3)

⇒ r/p = 3(8k-3)/(8k-3)

⇒ r/p = 3/1

⇒ p/q = 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?

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
= πr2h = π × 82 × 2 = 128π cm3

Let the radius of each sphere be r cm.

According to the question,

12 × (4/3) πr3 = 128π
⇒16πr3 = 128π
⇒ r3 = 8
⇒ r = 2 cm

∴ Diameter = 2 × 2 = 4 cm

Hence, the correct answer is 4 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 (1/tanθ) + tan θ.

We know the trigonometric identity sec2θ = 1 + tan2θ

So, (1/tanθ) + tanθ

= (1+tan2θ) / tanθ

= sec2θ /tanθ

= (sec2θ/sinθ) × cosθ

= secθ cosecθ

Hence, the correct answer is secθ cosecθ.

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:

57x-19y=399

⇒ (57x/399) - (19y/399) = 1

⇒ (x/7) - (y/21) = 1 -------------(i)

Comparing it with the equation of a line:

(x/a) + (y/b) = 1

x-intercept = a = 7

y-intercept = b = –21

The line, 57x-19y=399, cuts the x-axis at (7, 0) and the y-axis at (0, –21)

Hence, the correct answer is “x-axis at (7, 0) and y-axis at (0, –21)”'.

Key Formulas to Remember for MAT Mathematics:

Essential Algebraic Formulas for MAT Preparation

Trigonometric Formulas for Quick Solving

Geometry and Mensuration Formulas to Memorize

How to Use MAT Math Practice Tests Effectively

MAT 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 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

Simulating Exam Conditions with Practice Tests

If you are giving the offline test, then set a timer and sit in a quiet room without disturbance. Usually, the morning is a good time for offline tests. Online tests are already set up to simulate real exam situations. Turn off all the notifications during the test and focus on time management skills. Try to complete a whole test in one sitting without taking any type of breaks. At least attempt 2-3 full-length tests every week to get familiar with the actual exam.

MAT Mathematics Sample Questions: PDF Resources

How to Access Free MAT Mathematics Sample Questions PDFs

• You will get the free MAT Mathematics Sample Questions PDF from the official website of MAT.

• Some coaching institutes provide free sample questions with solutions PDFS which are downloadable.

• Join some student forums or communities who are preparing for MAT. They share free math sample questions PDFs.

• Some YouTube channels provide free math sample questions in their comment section.

• Here are some free PDF resources for MAT

• https://bschool.careers360.com/articles/mat-question-paper

• https://www.jagranjosh.com/exams/mat/question-papers

Creating Your Own Customized MAT Math Practice Sets

After the review of some 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.

Using PDF Resources for Quick Revision Before the Exam

PDF resources are very useful for quick revision.

• Make a PDF file with important mathematical formulae and shortcut tricks. Check that PDF file more often to get a good grasp on the formulae.

• Use shorter MAT Math Practice Tests PDF for quick revision.

• Download a PDF file with frequently asked MAT questions in the MAT exam and check those questions.

• Make a PDF file with key concepts of your weaker areas and read them before the exam.

Common Challenges in MAT 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.

Final Tips to Boost Your MAT Mathematics Preparation

Here are some last-minute tips to boost your MAT Mathematics preparation.

Revising Key Topics Before the MAT Exam

• In the algebra section, revise all the algebraic identities formulae of two variables and three variables, linear and quadratic equations.

• In the geometry section, focus more on circles, triangles, and their area, and circumference formulae. Also, revise the Pythagoras theorem.

• In mensuration, check all the formulae of cone, cylinder and cube.

• In the number system, memorize all the divisibility rules and the relationship between HCF & LCM.

• In the arithmetic section, focus mainly on profit & loss and their various formulae like successive discounts. Also, in the time-speed-distance section, revise relative speed and races.

Last Minute Preparation Tips for MAT Math Success

Main preparation has already been done long before the last week of the exam.

• Give short practice tests and review those results.

• Revise key concepts and formulae.

• Stay calm and try to avoid exam stress. Meditation is a good way to release stress.

What to Avoid During the Final Days of Preparation

Here are some of the things you should avoid during the final week of preparation.

• Do not try to learn new topics in the final days of the preparation. Rather focus on the topics you are already familiar with and strengthen those concepts.

• Do not spend too much time reading and stay awake late at night. Try to relax, listen to songs and get enough sleep.

• Do not compare your preparation with others. Stay positive and confident about your strategies and abilities.

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