Every student reaches a point before second term exams where they think the same thing: I wish I had the actual question paper to practice from. The good news is that you can. Second term maths question papers from previous years follow predictable patterns, and knowing those patterns gives you a real advantage before the exam.
This guide covers second term maths question papers for Classes 8, 9, and 10 across Kerala Board, CBSE, and other major state boards. You will find chapter coverage, marking schemes, download tips, model questions, common mistakes students make, and a preparation checklist built around how these papers actually look.
1. Second Term Maths Syllabus by Board and Class
The chapters covered in the second term vary by board. Here is a clear breakdown of what each major board includes in the maths question paper for the second term.
Kerala Board (SCERT) – Second Term Maths Chapters
| Class | Key Chapters Covered | Total Marks |
| Class 8 | Algebra, Statistics, Solid Geometry, Proportion | 80 |
| Class 9 | Polynomials, Circles, Coordinate Geometry, Probability | 80 |
| Class 10 | Arithmetic Progressions, Trigonometry, Areas, Statistics | 80 |
CBSE Board – Second Term (SA2 / Term 2) Maths Chapters
| Class | Key Chapters Covered | Total Marks |
| Class 8 | Linear Equations, Quadrilaterals, Data Handling, Mensuration | 80 |
| Class 9 | Linear Equations in Two Variables, Triangles, Heron’s Formula, Surface Areas | 80 |
| Class 10 | Quadratic Equations, AP, Circles, Constructions, Probability, Surface Areas | 80 |
Tamil Nadu State Board – Second Term Maths
| Class | Key Chapters Covered | Total Marks |
| Class 8 | Life Mathematics, Geometry, Algebra, Graphs | 100 |
| Class 9 | Real Numbers, Geometry, Coordinate Geometry, Trigonometry | 100 |
| Class 10 | Numbers and Sequences, Algebra, Trigonometry, Mensuration, Statistics | 100 |
2. Second Term Maths Question Paper Pattern and Marking Scheme
Before downloading or practicing any question paper, you need to understand how it is structured. The format below is common across most Indian state boards and CBSE for the second term.
Standard Paper Pattern (Kerala Board / CBSE Class 10)
| Section / Question Type | Marks and Number of Questions |
| Section A – 1 Mark Questions (MCQ / Fill in the blank) | 10 questions x 1 mark = 10 marks |
| Section B – 2 Mark Questions (Short answer) | 5 questions x 2 marks = 10 marks |
| Section C – 3 Mark Questions (Medium answer) | 6 questions x 3 marks = 18 marks |
| Section D – 4 or 5 Mark Questions (Long answer) | 4 questions x 5 marks = 20 marks |
| Internal Choice | Usually available in Sections C and D |
| Total Duration | 2 hours 30 minutes to 3 hours |
| Total Marks | 80 (with 20 marks from internal assessment) |
The Kerala Board second term exam (also called the Christmas Exam) follows this pattern closely for Classes 8 to 10. CBSE Term 2 papers shifted to a more descriptive format after 2022, with no MCQ-only sections.
3. How to Use Second Term Maths Question Papers Effectively
Most students download old papers and then just read through them. That is not preparation, that is browsing. Here is a method that actually works.
Step-by-Step Preparation Using Previous Year Papers
- Start with the most recent paper first. The 2024-25 or 2023-24 paper tells you the current trend in question types.
- Identify which chapters appear most often. In Class 10 maths, Arithmetic Progressions and Statistics almost always have long questions worth 4 to 5 marks.
- Time yourself when solving. Set a timer for the exact duration of the actual exam. Do not use extra time.
- After solving, check against the answer key. Do not just mark right or wrong. Understand where you lost steps.
- Repeat with papers from two or three years back. This confirms which question types are consistent.
- Focus the last three days only on your weak chapters. Use model papers from those specific topics.
Students who follow this method report noticeably better scores because they enter the exam knowing what the paper will roughly look like.
4. Chapter-Wise Marks Weightage in Second Term Maths
Knowing which chapters carry more marks helps you study smarter. The following is based on question paper analysis from previous second term exams.
Class 10 – Second Term Maths Marks Weightage (Kerala Board)
| Chapter | Expected Marks in Paper |
| Arithmetic Progressions | 8 to 10 marks |
| Circles and Tangents | 6 to 8 marks |
| Coordinate Geometry | 6 to 8 marks |
| Trigonometry | 8 to 10 marks |
| Statistics and Probability | 8 to 10 marks |
| Mensuration / Areas | 5 to 6 marks |
| Polynomials / Algebra | 5 to 6 marks |
This pattern is consistent across 2019 to 2024. Trigonometry and Statistics together can account for nearly a quarter of your total marks. That alone is reason to spend extra time on these two chapters.
5. Model Questions from Second Term Maths Paper (Class 9 and 10)
Below are representative model questions based on the pattern of actual second term question papers. These are not copied from any specific paper but mirror the question style closely.
Class 9 – Model Questions
- A polynomial p(x) = x squared minus 5x + 6. Find its zeroes. (2 marks)
- If two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm, find the length of the common chord. (3 marks)
- Plot the points A(2,3), B(4,0), C(0,5) on a coordinate plane and find the area of triangle ABC. (4 marks)
- A die is thrown once. What is the probability of getting a number greater than 4? (1 mark)
Class 10 – Model Questions
- The first term of an AP is 5 and the common difference is 3. Find the 20th term and the sum of the first 20 terms. (4 marks)
- Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact. (3 marks)
- A cylindrical bucket 32 cm high and with radius 18 cm is filled with sand. The sand is poured on the ground forming a conical heap of height 24 cm. Find the radius of the conical heap. (5 marks)
- If tan A = 1 divided by root 3, find the value of sin A cos A plus cos squared A. (3 marks)
- Find the mean of the following grouped data: Classes 0-10, 10-20, 20-30, 30-40, 40-50 with frequencies 5, 10, 15, 12, 8. (4 marks)
6. Common Mistakes Students Make in Second Term Maths Exams
These are the mistakes that consistently cost students marks, based on patterns seen in answer sheets and teacher evaluations over many years.
- Skipping steps in long-answer questions. Even if your final answer is correct, missing middle steps costs marks. Always show all working.
- Not reading the question fully. Many students answer a similar but different question. Read each line carefully, especially in word problems.
- Poor time distribution. Students spend 40 minutes on one difficult question and rush the rest. Use roughly 1 minute per mark as a guide.
- Forgetting units in mensuration. Answers in area, volume, or length must always include the correct unit. A number without a unit is an incomplete answer.
- Mixing up formulas for similar-looking concepts. For example, confusing the formula for total surface area with lateral surface area in mensuration questions.
- Not attempting all questions. Even a partially attempted answer with a correct setup earns partial marks. Never leave a question blank.
- Ignoring the internal choice. Most papers give you a choice between two questions in Sections C and D. Students often attempt both, wasting time.
7. Expert Tips for the Second Term Maths Exam
These tips come from what consistently separates students who score above 70 from those who struggle below 50.
- Solve at least 3 full previous year papers before the exam day. Not as reading, but as timed, written practice.
- Revise the formula list the night before. Write out all key formulas from memory on a blank page to confirm you have them.
- In the exam, start with the section you find easiest. This builds confidence and ensures those marks are secured first.
- For statistics questions, always double-check your summation. Arithmetic errors in the sigma column affect the entire answer.
- Draw diagrams for geometry and mensuration questions even if not asked. Diagrams help you think clearly and sometimes earn presentation marks.
- If you are stuck on a question, move on and come back. Do not let one question consume time meant for three others.
- Leave five to ten minutes at the end to review. Check that your name, roll number, and all sections are complete.
8. Where to Find Second Term Maths Question Papers for Free
You do not need to pay for previous year papers or model papers. Here are the most reliable free sources.
Official and Trusted Sources
- SCERT Kerala official website (scert.kerala.gov.in) for Kerala Board papers
- CBSE Academic website (cbseacademic.nic.in) for CBSE sample papers
- Education Observer (educationobserver.com) for Kerala model papers in both English and Malayalam medium
- Tamil Nadu SCERT (scert.tn.gov.in) for Tamil Nadu state board second term papers
- Your school library or your subject teacher, who often has printed sets from the last two to three years
Always prefer official sources over third-party aggregator sites. Some sites upload outdated or incorrectly formatted papers. Cross-check the year and syllabus before using any paper for preparation.
Also Read : Second Terminal Examination 2018 Question Paper – PDF, Answer Key, All Classes
9. Kerala Board vs CBSE vs State Board: Second Term Maths Compared
| Feature | Kerala Board (SCERT) | CBSE |
| Total Marks | 80 + 20 internal | 80 + 20 internal |
| Exam Duration | 2.5 hours | 3 hours |
| MCQ Section | Yes (1 mark each) | Yes (after 2022 format) |
| Answer Key Available | Yes, officially | Yes, officially |
| Difficulty Level | Moderate to High | Moderate |
| Internal Choice | Yes, in long answers | Yes, in long answers |
| Language Options | English and Malayalam | English and Hindi |
10. Second Term Maths Preparation Checklist
Use this checklist in the four weeks before your second term maths exam.
Four Weeks Before the Exam
- Complete all chapters in the second term syllabus
- Note which chapters you find most difficult
- Collect previous year papers for the last three years
Two Weeks Before the Exam
- Solve one full previous year paper under timed conditions
- Check your answers against the answer key
- List the formulas you keep forgetting
- Practice at least 5 long-answer questions from each weak chapter
One Week Before the Exam
- Solve two more model papers
- Revise the formula sheet daily
- Practice step-by-step presentation for 5-mark questions
- Focus 80% of this week on high-weightage chapters
Night Before the Exam
- Write all formulas from memory on a blank page
- Keep your stationery, hall ticket, and ID ready
- Sleep by 10 PM and wake up with enough time to be calm
Frequently Asked Questions About Second Term Maths Question Papers
Q1. When is the second term maths exam usually held?
For most schools in Kerala, the second term exam (also called the Christmas Exam) is held in December, usually between December 15 and December 23. CBSE schools hold their second term exams between February and March depending on the class.
Q2. Are the second term maths papers the same for all districts?
For Kerala Board, the second term paper is a common district-level or state-level paper, so the same paper is used across all government and aided schools in a district. CBSE papers are school-level for internal exams but use CBSE’s model paper format.
Q3. How many marks does the second term maths exam carry?
For Class 8, 9, and 10, the second term maths paper typically carries 80 marks. An additional 20 marks come from internal assessment, making the total 100 marks. Some state boards like Tamil Nadu use a 100-mark paper directly.
Q4. Is there a choice between questions in the second term maths paper?
Yes. Most papers give internal choice in the higher-mark sections (3 marks, 4 marks, or 5 marks). You are required to answer only one of the two options given. Always read both options and choose the one you are more comfortable with.
Q5. What is the passing mark for the second term maths exam?
For Kerala Board, you need 33% of the total marks to pass, which is 27 out of 80 in the written paper. CBSE requires 33% overall across both terms and internal assessment. Individual board rules may vary slightly.
Q6. Can I download the second term maths question paper with answer key?
Yes. Answer keys for the second term maths exam are released by SCERT Kerala, CBSE Academic, and various educational websites within 24 to 48 hours after the exam. For model papers, answer keys are usually included in the download itself.
Q7. Which chapters carry the most marks in the Class 10 second term maths paper?
Based on previous year analysis, Trigonometry, Arithmetic Progressions, and Statistics consistently carry the highest marks in the Class 10 second term maths paper. Together they can account for 25 to 30 marks. Prioritise these chapters in your preparation.
Q8. Are the second term model papers useful for the annual exam too?
Partially. Second term model papers are specifically designed for the chapters covered in the second term. However, the question style, marking pattern, and difficulty level are consistent with the annual exam. Practicing these papers builds exam temperament that helps in the annual exam as well.
Q9. How is the second term maths paper different from the first term paper?
The chapters are completely different. The first term covers the initial units of the syllabus while the second term picks up from where the first term ended. The paper format, total marks, and duration remain largely the same across both terms.
Q10. What should I do if I cannot solve a question in the exam?
Start by writing the formula or the relevant theorem you know for that topic. Then substitute any values from the question. Even an incomplete solution with the right setup earns partial marks in most board exams. Never leave a question completely blank.
