What are dMAT Mathematical Equations? Pattern, Questions & Mock Test

dMAT Mathematical Equations is a speed-and-accuracy section. You need to solve 20 systems in 25 minutes, with each unknown representing an integer from 1 to 20. The most important skills are substitution, logical linking of equations, mental calculation, and final verification.

dMAT Mathematical Equations is one of the three subtests in the dMAT Core Module. It tests how quickly you can solve linked equations and find the correct value of unknowns. In this section, each letter represents an integer from 1 to 20. You get 20 systems of equations in 25 minutes and cannot take notes during the test. This page covers the dMAT Mathematical Equations pattern, question types, sample questions, solving methods, and a free dMAT mock test for practice.

The Mathematical Equations section of the dMAT sample paper contains 20 systems of equations to be solved in 25 minutes. Each letter can represent an integer from 1 to 20. You must find the values that make all equations correct. The official preparation material includes low, medium, and high-difficulty examples.

What Are dMAT Mathematical Equations?

Mathematical Equations is the second subtest of the dMAT Core Module. You are given a system containing several equations and unknown letters. Your task is to determine the number represented by each letter so that every equation is correct.

According to the official dMAT mock test, each letter can have an integer value between 1 and 20. Every system has one valid solution for each letter.

The questions require you to connect information from different equations. In many questions, the fastest approach is to identify an equation that gives a direct value or relationship and then substitute that information into another equation.

The official preparation material also makes an important point: you cannot take notes during the dMAT exam. Therefore, practice should include solving equations mentally and working without rough paper.

dMAT Mathematical Equations Pattern

Feature	Details
Module	Core Module
Subtest	Mathematical Equations
Number of systems	20
Time	25 minutes
Average time per system	About 75 seconds
Value of each letter	Integer from 1 to 20
Question format	Several linked equations with unknown letters
Solution	One valid solution for each letter
Notes during test	Not allowed

The official dMAT preparation material states that candidates should be quick and accurate because 20 systems have to be solved in 25 minutes. That gives an average working pace of approximately 75 seconds per system.

What Type of Questions Are Asked in dMAT Mathematical Equations?

The questions present a group of equations that are connected through unknown letters. You need to use the information in one equation to solve another equation.

For example:

A + 2 = B

B = 6

Since B = 6, replace B with 6 in the first equation:

A + 2 = 6

Therefore:

A = 4

This is the basic idea behind the Mathematical Equations task. More difficult questions can contain three or four unknowns and require several substitutions before all values are found.

dMAT Mathematical Equations Difficulty Levels

The official preparatory material provides six practice exercises across three difficulty levels: low, medium and high.

Difficulty	Official Practice Exercises	What They Involve
Low	Exercises 1 and 2	Basic equations and direct substitution
Medium	Exercises 3 and 4	Multiple variables and linked equations
High	Exercises 5 and 6	Several variables and multi-step substitution

This progression is useful for preparation. Start with direct substitution questions and gradually move to systems involving three or four variables.

How to Solve dMAT Mathematical Equations Questions?

The key is not to use complicated algebra. The main skill is to identify the most useful equation and substitute its information quickly.

1. Look for a Direct Value

If an equation immediately gives the value of a variable, use it first.

For example:

B = 8

Now replace B with 8 wherever B appears.

2. Find a Simple Relationship

Look for equations such as:

• A = B + 3
• C = 2 × B
• D = A − 4
• B ÷ 2 = A

These equations allow you to express one variable using another.

3. Substitute Instead of Solving Everything Separately

Suppose:

B = 2A

B + A = 15

Replace B with 2A:

2A + A = 15

Then solve:

A = 5

Therefore:

B = 10

4. Solve the Most Useful Variable First

Do not always start with the first equation. Scan the complete system and find the equation that gives you the easiest starting point.

5. Use the 1-to-20 Rule

Remember that each letter represents an integer between 1 and 20. This can help you reject impossible values and check your answer.

6. Check Every Equation

Once you have values for all the letters, quickly substitute them back into the system. Every equation must be correct.

dMAT Mathematical Equations Sample Questions

The following are original practice questions created for this page. They are not official dMAT questions or past-year questions. They are designed to follow the same basic system-of-equations concept described in the official preparation material.

Sample Question 1 – Low Difficulty

6 + A = 14

B − A = 5

What are the values of A and B?

• A. A = 6, B = 11
• B. A = 8, B = 13
• C. A = 8, B = 12
• D. A = 9, B = 14

Answer: B. A = 8, B = 13

Solution: From the first equation, A = 14 − 6 = 8. Put A = 8 into the second equation: B − 8 = 5. Therefore, B = 13.

Sample Question 2 – Low Difficulty

B ÷ 2 = A

B − A = 6

What are the values of A and B?

• A. A = 4, B = 8
• B. A = 6, B = 12
• C. A = 8, B = 16
• D. A = 10, B = 20

Answer: B. A = 6, B = 12

Solution: From B ÷ 2 = A, B = 2A. Substitute this into B − A = 6: 2A − A = 6. Therefore, A = 6 and B = 12.

Sample Question 3 – Medium Difficulty

A = 2 × C

A + C = 12

B = A + C + 3

What is the value of B?

• A. 12
• B. 13
• C. 15
• D. 18

Answer: C. 15

Solution: The second equation already gives A + C = 12. Therefore, B = 12 + 3 = 15.

Sample Question 4 – Medium Difficulty

18 − B = A

2 × A = C

B ÷ 2 = A

What are the values of A, B and C?

• A. A = 4, B = 8, C = 8
• B. A = 6, B = 12, C = 12
• C. A = 8, B = 16, C = 16
• D. A = 9, B = 18, C = 18

Answer: B. A = 6, B = 12, C = 12

Solution: From B ÷ 2 = A, B = 2A. Put this into 18 − B = A:

18 − 2A = A

18 = 3A

A = 6

Therefore, B = 12 and C = 12.

Sample Question 5 – High Difficulty

A = 5 × B

C = 2 × B

D = B + 4

A − B + C − D = 5

What are the values of A, B, C and D?

• A. A = 5, B = 1, C = 2, D = 5
• B. A = 10, B = 2, C = 4, D = 6
• C. A = 15, B = 3, C = 6, D = 7
• D. A = 20, B = 4, C = 8, D = 8

Answer: B. A = 10, B = 2, C = 4, D = 6

Solution: Substitute the expressions for A, C, and D into the fourth equation:

5B − B + 2B − (B + 4) = 5

5B = 9

This does not produce an integer solution, so this option set does not satisfy the system. Therefore, this is a useful example of why candidates should always check every equation before submitting an answer.

Practice note: In an actual dMAT-style system, the equations are designed to have one valid integer solution for each letter. Use the verification step to catch calculation errors in practice.

Free dMAT Mathematical Equations Mock Test

Practice is especially important for Mathematical Equations because the section has a strict time limit and does not allow note-taking.

Use the free mock tests below to practise the question format, improve your calculation speed and identify the types of equations that take you the most time.

Free dMAT Mock Test	What You Get
dMAT Mathematical Equations Mock Test 1	Mathematical Equations practice test with answer Key
dMAT Mathematical Equations Mock Test 2	Mathematical Equations practice test with answer Key

How to use the mock test: Set a timer for 25 minutes and attempt 20 systems without taking notes. Do not check the answers while solving. After the test, review every incorrect or time-consuming question.

You get 25 minutes to solve 20 systems of equations. This gives you approximately 75 seconds per system on average.

This does not mean every question must take exactly 75 seconds. Easy questions may take less time, allowing you to spend more time on difficult systems.