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.
Previous-year trends show a higher occurrence of percentages, ratio and proportion, 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, beginner preparation strategy and recommended books.
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
CLAT Maths Exam Pattern 2027
Check the exam pattern for 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 |
CLAT Maths Syllabus 2027: Important Formulas
Check the important formulas for the CLAT Quantitative Techniques section that help you 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 |
Important Resources For CLAT Preparation
| CLAT Exam Pattern | CLAT Eligibility Criteria |
| CLAT Exam Dates | CLAT admit card |
| CLAT Marking Scheme | CLAT previous years’ question papers |
| CLAT Preparation | CLAT subjects |
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 the purpose of 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 performance of the power sector. 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 the purpose of 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
Important things for CLAT Exam:
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.
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 while learning each topic and revise it regularly.
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.
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.
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.
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.
Explore the updated CLAT Syllabus, subjects, and section-wise topics here.
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 |
Also Check: Best CLAT Preparation Books recommended for concept-building and practice.
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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.
Free Resources for CLAT Preparation:
Use the following free CLAT preparation resources by Examcharcha:
| Current Affairs Quiz | CLAT Post Magazine by LegalEdge |
| Daily Current Affairs | Weekly Current Affairs |
| Monthly Current Affairs | Last 6 Months Current Affairs |
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