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CLAT Maths Syllabus 2027: Download PDF & Important Formulas

CLAT Maths, officially called Quantitative Techniques, carries around 10–14 questions and tests Class 10-level mathematical concepts. The CLAT Maths 2027 syllabus includes ratios and proportions, percentages, averages, basic algebra, mensuration and statistical estimation, along with other arithmetic concepts used in data-based questions.

clat maths syllabus

Previous-year trends show a higher occurrence of percentages, ratios and proportions, comparisons, profit and loss, and averages. The questions in the CLAT Maths section are usually calculative and require you to interpret the given data, identify the relevant formula, and complete the calculation process.

This guide covers the complete CLAT Maths syllabus, important formulas, high-priority chapters, chapter-wise trends, a beginner preparation strategy, and recommended books. 

Table of Contents

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CLAT Maths Section: Overview

Get a quick insight into the overview of the Maths section in the CLAT examination from the table below:

Particulars Details
Section Name Quantitative Techniques
Questions 10–14 questions
Weightage Approximately 10% of the CLAT UG paper
Total CLAT Questions 120
Level of Mathematics Approximately Class 10 level
Question Format Short sets of facts, propositions, or textual representations of numerical information followed by questions
Marking Scheme +1 for every correct answer
Negative Marking −0.25 marks for every incorrect answer
Exam Duration 2 hours for the complete paper

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CLAT 2027 Maths Syllabus

Refer to the table below to get the detailed CLAT Maths syllabus:

CLAT Maths Topics CLAT Maths Syllabus
Basic Calculations
  • Square of 2- and 3-digit numbers
  • Square roots
  • Cubes
  • Cube roots
  • Multiplication and Division
  • Fractions
  • Rules of divisibility
Percentage and Ratios
  • Percentage calculations
  • Ratio and proportion
  • Partnership
  • Averages
  • Ages
Profit and Loss Calculating profit, loss, and discounts.
Interest Calculations
  • Simple interest
  • Compound interest
Time and Work Work efficiency, pipes and cistern problems.
Time, Speed, and Distance Problems on trains, boats, and streams.
2D and 3D Mensuration
  • Area of geometrical shapes
  • Volume of geometrical shapes
  • Surface area of geometrical shapes
Data Interpretation
  • Tables
  • Charts
  • Graphs
  • Caselets
Probability
  • Basic Concepts and Mixed Questions
  • Probability
  • Basic and Advanced Probability Questions
  • Permutation
  • Combination
Caselet-based Questions Data Interpretation (DI) Caselet-based Questions

Download CLAT Maths Syllabus PDF

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CLAT Maths Exam Pattern 2027

Check the exam pattern for the CLAT Maths section in the table below:

Particular Details
Section Quantitative Techniques
Questions 10–14
Approx. weightage 10%
Marks 10–14
Correct answer +1
Incorrect answer −0.25
Unattempted 0

Free Resources for CLAT Preparation:

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CLAT Maths Syllabus 2027: Important Formulas

Check the important formulas for the CLAT Quantitative Techniques section to solve calculations accurately without spending time recalling basic rules.

Topic Important Formula
Percentage Percentage = (Value ÷ Total Value) × 100
Percentage Change Percentage Change = [(New Value − Original Value) ÷ Original Value] × 100
Ratio Ratio of A to B = A: B
Proportion a : b = c : d → a × d = b × c
Average Average = Sum of Observations ÷ Number of Observations
Profit Profit = Selling Price − Cost Price
Loss Loss = Cost Price − Selling Price
Profit/Loss % Profit or Loss % = (Profit or Loss ÷ Cost Price) × 100
Simple Interest SI = (Principal × Rate × Time) ÷ 100
Amount Amount = Principal + Simple Interest
Speed Speed = Distance ÷ Time
Distance Distance = Speed × Time
Time Time = Distance ÷ Speed
Rectangle Area = Length × Breadth
Square Area = Side²
Triangle Area = ½ × Base × Height
Circle Area = πr²; Circumference = 2πr
Basic Algebra If ax + b = c, then x = (c − b) ÷ a

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CLAT Maths Syllabus 2027: Different Types of Questions

The Consortium does not publish an official chapter-wise priority list. Based on previous-year CLAT Quantitative Techniques papers, percentages, ratios, averages, profit and loss, and data interpretation deserve the most attention. Along with that, we have also mentioned the kind of questions you can expect from these chapters. 

Q1. Mr. Das works in a construction company. He has a family consisting of his wife and daughter. His total monthly income includes a salary of Rs. 9,228/- along with a 10% house rent allowance. Due to rising inflation, he maintains a monthly household budget based on his income and expenses.

Out of his total monthly income, he spends 25% on food, 18% on house rent, 9% on entertainment, 23% on his child’s education, and 13% on medical expenses. He saves the remaining 12% of his total monthly income. Based on this information, answer the following questions:

1. How much does Mr. Das spend on house rent every month?

(A) Rs. 1,827/-
(B) Rs. 1,661/-
(C) Rs. 1,783/-
(D) Rs. 1,935/-

2. Mr. Das earns 12% annual interest on his savings. If he wants to accumulate Rs. 30,000/- in two years, how much additional amount should he save in the next year?

(A) Rs. 1,200/-
(B) Rs. 1,300/-
(C) Rs. 1,400/-
(D) There is no need for additional savings

3. Which of the following statements is true about Mr. Das’s monthly household budget?

(A) The total amount spent on house rent, entertainment, and education is greater than the total amount spent on food, medical expenses, and savings.
(B) The total amount spent on entertainment, medical expenses, and education is equal to the total amount spent on house rent, food, and savings.
(C) The total amount spent on savings, medical expenses, and education is less than the total amount spent on house rent, food, and entertainment.
(D) None of the above

4. How much money is left for other expenses after deducting house rent and savings from his total monthly income?

(A) Rs. 7,061/-
(B) Rs. 7,601/-
(C) Rs. 7,106/-
(D) Rs. 7,016/-

5. If food and entertainment expenses increase by 10% due to inflation, what will be the new percentage of savings from the same monthly income?

(A) 8.4%
(B) 8.6%
(C) 8.8%
(D) 8.2%

6. How much does Mr. Das spend in total on food and entertainment every month?

(A) Rs. 3,541/-
(B) Rs. 3,461/-
(C) Rs. 3,371/-
(D) None of the above

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Q2. Health insurance is an important means of providing financial protection and ensuring access to quality healthcare. However, the level and type of health insurance coverage in India differ considerably between urban and rural areas. Urban residents generally have greater access to organized insurance schemes, employer-sponsored coverage, and information about health policies. In contrast, rural populations often face limited access to insurance schemes, inadequate healthcare infrastructure, and lower awareness. This urban-rural difference reflects the wider issue of inequality in healthcare access and highlights the need to identify the factors responsible for the gap and develop measures for more inclusive health protection.

A state-level health survey was conducted among 1,80,000 adults from urban and rural areas. Urban residents accounted for 55% of the sample, or 99,000 people, while rural residents accounted for 45%, or 81,000 people. Health insurance coverage in both areas was divided into four categories: Public schemes, Private insurance, Employer-provided coverage, and Uninsured.

Among urban residents, 28% were covered under public schemes, 22% had private insurance, 18% had employer-provided coverage, and the remaining 32% were uninsured. Among rural residents, 35% were covered under public schemes, 10% had private insurance, 8% had employer-provided coverage, and 47% were uninsured.

For this survey, Insured refers to adults covered under Public, Private, or Employer-provided schemes, while Uninsured refers to those without any form of coverage. Officials observed that public schemes are the main source of insurance coverage in rural areas, whereas private and employer-provided insurance is more common in urban areas.

Q. 1 What is the ratio of insured adults in Urban areas to Rural areas?

a) 82:65
b) 748:477
c) 65:82
d) 477:748

Q. 2 By what percentage is the number of uninsured adults in Rural areas higher than the number of uninsured adults in Urban areas?

a) 18.75%
b) 20.17%
c) 22.50%
d) 25.00%

Q. 3 If the total surveyed population increases by 5% next year while all percentage shares, including the Urban-Rural distribution, remain unchanged, how many additional people will have private insurance compared with this year?

a) 1,494
b) 1,560
c) 1,620
d) 1,650

Q. 4 What is the total number of adults covered under employer-provided insurance in both Urban and Rural areas?

a) 22,800
b) 23,100
c) 24,300
d) 25,200

Q. 5 What percentage of the total insured adults are covered under Public schemes?

a) 48.50%
b) 49.75%
c) 50.86%
d) 52.00%

Q. 6 What percentage of the total surveyed population has some form of health insurance coverage?

a) 52.15%
b) 56.25%
c) 61.25%
d) 64%

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Q3. A state electricity report provides quarterly data on electricity generation and helps assess the power sector’s performance. The report records electricity generation in gigawatt hours (GWh) from five sources: Coal, Gas, Hydro, Solar, and Wind. The data can be used to understand the state’s overall energy mix, compare conventional and renewable sources, identify changes across quarters, and assess the progress of renewable energy generation.

The report records the following quarterly generation:

  • Q1: Coal generated 2,200 GWh, Gas 800 GWh, Hydro 900 GWh, Solar 700 GWh, and Wind 400 GWh, giving a total generation of 5,000 GWh.
  • Q2: Coal generation increased to 2,400 GWh, while Gas declined to 700 GWh. Hydro increased to 1,000 GWh, Solar to 800 GWh, and Wind to 600 GWh, resulting in total generation of 5,500 GWh.
  • Q3: Coal generation declined to 2,100 GWh, while Gas increased to 900 GWh. Hydro declined to 800 GWh, while Solar increased to 1,000 GWh and Wind to 700 GWh. The total generation remained 5,500 GWh.
  • Q4: Coal generated 2,300 GWh, Gas 850 GWh, Hydro 1,100 GWh, Solar 900 GWh, and Wind 850 GWh, resulting in total generation of 6,000 GWh.

For analysis, Renewable generation = Hydro + Solar + Wind. Under a proposed carbon policy, Q4 Coal generation is reduced by 10%, and the entire reduction is divided equally between Solar and Wind.

Q.1 What is the total electricity generation for the entire year?

a) 20,500 GWh
b) 21,500 GWh
c) 22,000 GWh
d) 22,500 GWh

Q2.  What is the approximate share of renewable energy in the total annual electricity generation?

a) 42.5%
b) 43.8%
c) 44.3%
d) 45.0%

Q3. In which quarter is the share of renewable energy in total generation the highest?

a) Q1
b) Q2
c) Q3
d) Q4

Q4. 10 Under the carbon policy, Q4 Coal generation is reduced by 10%, and the entire reduction is equally divided between Solar and Wind. What will be the new Q4 Solar generation?

a) 975 GWh
b) 1,000 GWh
c) 1,015 GWh
d) 1,030 GWh

Q5. What is the ratio of annual Gas generation to annual Hydro generation?

a) 13:15
b) 65:76
c) 5:6
d) 26:31

Q6.  In which quarter is the share of renewable energy in total generation the lowest?

a) Q1
b) Q2
c) Q3
d) Q4

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CLAT Maths Syllabus 2027: Preparation Strategy for Beginners

If you are starting CLAT Maths from scratch, follow these five steps to build accuracy first and then improve your speed.

1. Start With Basic Arithmetic

Begin with percentages, ratios, averages, profit and loss, interest, algebra and mensuration. Do not move to advanced questions before you can solve basic problems correctly. Make a formula sheet as you learn each topic, and revise it regularly.

2. Learn One Topic at a Time

Complete one mathematical topic before moving to the next. Learn the formulas, understand the calculation method, and solve a few basic examples. For example, complete percentages before moving to profit and loss, as percentage calculations are used in several arithmetic problems.

3. Practise Questions After Every Topic

After learning a topic, solve questions immediately instead of waiting until you finish the entire syllabus. Start with easy questions and gradually attempt CLAT-level problems. Check every incorrect answer and identify whether the mistake occurred because of a formula, calculation, or misunderstanding of the question.

4. Move to Data Interpretation

Once your arithmetic basics are clear, practise sets based on tables, charts, and other numerical data. First read the information carefully and identify what the question is asking before calculating. Practise extracting the required numbers quickly because CLAT Quantitative Techniques uses data-based questions rather than only standalone mathematical problems.

5. Use Practice After Building Accuracy

Do not introduce strict time limits when you are still learning basic concepts. Once you can solve questions accurately, start using timed sets. Track the number of questions you attempt, your accuracy, and the time taken. Rework questions that take too long and identify calculation methods that can make your approach more efficient.

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Best Books to Cover CLAT Maths Syllabus

Following the right CLAT resources helps one to cover the complete Maths syllabus before the examination. These books not only provide a basic conceptual understanding but also comprise practice questions. Refer to the table below to get CLAT maths books:

Book Author/Publisher
Quantitative Aptitude for Competitive Examinations R.S. Aggarwal
Fast Track Objective Arithmetic Rajesh Verma, Arihant Publications
Elementary Mathematics with Numerical Ability Prateek Jain
Data Interpretation R.S. Aggarwal
Mathematics (Class 8–10) NCERT

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FAQs

The Maths section is officially called Quantitative Techniques in the CLAT UG exam.

The syllabus includes ratios and proportions, basic algebra, mensuration and statistical estimation, along with mathematical operations based on numerical information.

The Consortium describes the mathematical concepts tested in Quantitative Techniques as being of approximately Class 10 level.

Quantitative Techniques presents numerical information through short sets, passages, or other representations, followed by questions based on the given data.

The Quantitative Techniques section generally contains 10–14 questions, although the exact number can vary according to the paper.

No. Candidates should prepare to perform the required calculations without a calculator during the examination.

Start with ratios and proportions, percentages, averages and basic algebra, then move to mensuration, data interpretation and statistical estimation. Practise applying these concepts to the numerical information provided in passages or sets.

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