MAT Sample Questions for Mathematics 2026: Boost Your Exam Preparation with Practice Tests

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.

Number of Questions and Marks Distribution

Key Topics Covered in the Mathematics Section

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

Difficulty Level Analysis

• The difficulty level of MAT 2026 Mathematics is generally moderate.

• Many questions are direct and formula-based, making them scoring opportunities.

• A few problems may be calculation-heavy and require strong time management.

• Well-prepared students can attempt 20–25 questions accurately within the given time.

MAT 2026 Math Sample Papers: Why They Matter

Reviewing MAT 2026 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

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 offl

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?

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 2026 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 2026 Preparation

Trigonometric Formulas for Quick Solving

Geometry and Mensuration Formulas to Memorize

Final Tips to Boost Your MAT 2026 Mathematics Preparation

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

• 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.

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.