In short: Telangana SSC Class 10 Maths has two papers (Paper I: 50 marks, Paper II: 50 marks). Based on previous year question analysis, about 60–70% of questions repeat from a pool of predictable topics. This post lists the most important questions chapter-wise for both papers, with PYQ frequency data and the top 20 most repeated topics.
How to Use This List
This is not a random question bank. Every question listed here is based on analysis of Telangana SSC Maths papers from the last 5 years. We tracked which topics appeared, how often, and in which question type (1-mark, 2-mark, 4-mark, or 8-mark essay).
How to study with this list:
- Start with the top 20 most repeated topics (listed below).
- Within each chapter, focus on the question types that carry the most marks.
- Practice the 4-mark and 8-mark questions first — they carry the bulk of marks.
- Use 1-mark and 2-mark questions for quick revision in the last week.
Question Type Distribution
Paper I (50 Marks)
| Type | Marks Per Question | Number of Questions | Total Marks |
|---|---|---|---|
| Very Short Answer (VSA) | 1 | 5 | 5 |
| Short Answer Type I | 2 | 5 | 10 |
| Short Answer Type II | 4 | 5 | 20 |
| Essay / Long Answer | 5 | 3 (choose 2) | 10 |
| Problem Solving | 5 | 1 | 5 |
| Total | 50 |
Paper II (50 Marks)
| Type | Marks Per Question | Number of Questions | Total Marks |
|---|---|---|---|
| Very Short Answer (VSA) | 1 | 5 | 5 |
| Short Answer Type I | 2 | 5 | 10 |
| Short Answer Type II | 4 | 5 | 20 |
| Essay / Long Answer | 5 | 3 (choose 2) | 10 |
| Construction / Diagram | 5 | 1 | 5 |
| Total | 50 |
Top 20 Most Repeated Topics (Both Papers)
These topics have appeared in 4 or more out of the last 5 Telangana SSC papers:
| Rank | Topic | Paper | Frequency (out of 5) | Usual Marks |
|---|---|---|---|---|
| 1 | Quadratic equations — word problems | Paper I | 5/5 | 4–5 |
| 2 | BPT (Basic Proportionality Theorem) proof | Paper II | 5/5 | 4–5 |
| 3 | Trigonometric identities — prove LHS = RHS | Paper II | 5/5 | 2–4 |
| 4 | AP — find nth term and sum | Paper I | 5/5 | 4 |
| 5 | Heights and distances (two angles) | Paper II | 5/5 | 4–5 |
| 6 | Mean of grouped data | Paper II | 5/5 | 4 |
| 7 | Nature of roots using discriminant | Paper I | 5/5 | 2 |
| 8 | Similar Triangles — area ratio theorem | Paper II | 4/5 | 4 |
| 9 | Section formula application | Paper I | 4/5 | 2–4 |
| 10 | Volume/surface area of combined solids | Paper II | 4/5 | 4–5 |
| 11 | Graphical method for linear equations | Paper I | 4/5 | 5 |
| 12 | Zeroes of a polynomial — verify relationship | Paper I | 4/5 | 2 |
| 13 | Tangent from external point — proof | Paper II | 4/5 | 4 |
| 14 | Euclid's Division Algorithm — find HCF | Paper I | 4/5 | 2 |
| 15 | Venn diagram — set operations | Paper I | 4/5 | 2–4 |
| 16 | Median from ogive | Paper II | 4/5 | 4 |
| 17 | Pythagoras Theorem proof | Paper II | 4/5 | 4–5 |
| 18 | Irrational number proof (√2 or √3) | Paper I | 4/5 | 2–4 |
| 19 | Distance formula — collinearity | Paper I | 4/5 | 2 |
| 20 | Probability — coins/dice/cards | Paper II | 4/5 | 2 |
If you master just these 20 topics, you cover approximately 60–70 marks out of 100.
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Paper I: Chapter-Wise Important Questions
Chapter 1: Real Numbers
2-mark questions (most likely):
- Find HCF using Euclid's Division Algorithm (e.g., HCF of 96 and 404).
- Find HCF and LCM using prime factorization and verify HCF × LCM = product.
- Show that 3 + 2√5 is irrational (proof by contradiction).
4-mark questions:
- Prove that √2 is irrational. (appeared 4 out of 5 years)
- The Fundamental Theorem of Arithmetic — use it to find LCM and HCF of three numbers.
PYQ pattern: One 2-mark question on Euclid's algorithm is almost guaranteed. The irrationality proof shows up as either a 2-mark or 4-mark question.
Chapter 2: Sets
1-mark questions:
- Write the roster form of a given set-builder notation.
- Identify the type of set (finite, infinite, empty, universal).
2-mark questions:
- Find A ∪ B, A ∩ B for given sets A and B.
- Draw a Venn diagram for A − B or A ∩ B.
4-mark questions:
- Verify n(A ∪ B) = n(A) + n(B) − n(A ∩ B) with a word problem.
- Solve a Venn diagram problem involving three overlapping sets (survey-based).
PYQ pattern: Sets is unique to Telangana Board. Expect at least 3–4 marks every year. Venn diagram problems are the most common 4-mark type.
Chapter 3: Polynomials
1-mark questions:
- Find the zeroes of a given quadratic polynomial.
- State the relationship between zeroes and coefficients.
2-mark questions:
- Verify the relationship between zeroes and coefficients for a given polynomial.
- Find a polynomial whose zeroes are given (e.g., sum = 3, product = −2).
4-mark questions:
- If α and β are zeroes of p(x) = ax² + bx + c, find the value of 1/α + 1/β or α² + β².
- Divide one polynomial by another and verify the division algorithm.
PYQ pattern: The verification question (2 marks) appears every year. The expression-in-terms-of-zeroes question (4 marks) appears 4 out of 5 years.
Chapter 4: Pair of Linear Equations in Two Variables
2-mark questions:
- Check whether a pair of equations is consistent, inconsistent, or dependent.
- Find the values of k for which the system has no solution / infinite solutions.
4-mark questions:
- Solve using elimination or substitution method.
- Word problem: ages, fractions, speed-distance-time.
5-mark essay question:
- Solve a pair of linear equations graphically and shade the region bounded by the lines and the x-axis.
PYQ pattern: The graphical solution is a favourite 5-mark essay question — appeared 4 out of 5 years. Always practice drawing accurate graphs.
Chapter 5: Quadratic Equations
2-mark questions:
- Find the nature of roots using discriminant.
- Find the value of k for which the equation has equal roots.
4-mark questions:
- Solve by factorization or quadratic formula.
- Word problem: find two consecutive integers, area of a rectangle, speed of a boat.
5-mark essay question:
- Derive the quadratic formula from ax² + bx + c = 0 using completing the square method.
PYQ pattern: This is the single most important chapter in Paper I. A word problem (4–5 marks) has appeared in every paper for the last 5 years. The discriminant question (2 marks) is also guaranteed.
Chapter 6: Progressions
2-mark questions:
- Find the nth term of an AP.
- Check whether a given sequence is an AP or not.
- Find the common difference or first term given conditions.
4-mark questions:
- Find the sum of first n terms of an AP.
- Word problem: find how many terms are needed for a given sum.
- If the pth term is q and qth term is p, find the (p+q)th term.
PYQ pattern: The "find sum of n terms" question appears every year. GP-related questions are rare (0–1 marks at most) — focus on AP.
Chapter 7: Coordinate Geometry
2-mark questions:
- Find the distance between two points.
- Find the midpoint of a line segment.
- Check if three points are collinear.
4-mark questions:
- Find the coordinates of the point dividing a line segment in a given ratio (section formula).
- Find the area of a triangle given three vertices.
- Show that given points form a specific shape (parallelogram, rhombus).
PYQ pattern: Section formula (2 or 4 marks) and area of triangle (4 marks) are the most frequent. Distance formula for collinearity appears as a 2-mark question.
Paper II: Chapter-Wise Important Questions
Chapter 8: Similar Triangles
2-mark questions:
- State and write the conditions for similarity (AA, SAS, SSS).
- If ΔABC ~ ΔDEF, find missing sides given a ratio.
4-mark questions:
- State and prove BPT (Basic Proportionality Theorem). (5/5 frequency)
- Prove that the ratio of areas of two similar triangles equals the square of the ratio of corresponding sides.
- Problems using Pythagoras Theorem in combined figures.
5-mark essay question:
- Prove Pythagoras Theorem using similar triangles approach.
- State and prove the converse of BPT.
PYQ pattern: BPT proof is the single most predictable question in Paper II. It has appeared in all 5 papers reviewed. Pythagoras proof is the second most common essay question.
Chapter 9: Tangents and Secants to a Circle
2-mark questions:
- Find the length of a tangent from an external point given the radius and distance.
- State the theorem: tangent is perpendicular to the radius at the point of contact.
4-mark questions:
- Prove that tangents drawn from an external point are equal.
- If two tangents are drawn to a circle from a point P, and angle between them is given, find the angle subtended at the centre.
PYQ pattern: The "tangents from an external point are equal" proof appears 4 out of 5 years. Always include the diagram in your answer.
Chapter 10: Mensuration
2-mark questions:
- Find the area of a sector or segment of a circle.
- Find the curved surface area of a cone or cylinder.
4-mark questions:
- Find the volume or surface area of a combined solid (e.g., hemisphere on cylinder, cone on cylinder).
- A solid is melted and recast into smaller shapes — find the number of smaller shapes.
- Find the volume of a frustum of a cone.
5-mark problem:
- Complex combined solid problem with multiple steps.
PYQ pattern: The combined solid problem (4–5 marks) appears every year without exception. Frustum problems appear 3 out of 5 years. Always draw the figure and label dimensions.
Chapter 11: Trigonometry
1-mark questions:
- Find the value of sin 60°, cos 45°, tan 30°, etc.
- Simplify a basic expression using standard angle values.
2-mark questions:
- Prove a simple identity (e.g., sin²θ + cos²θ = 1 type variants).
- If sin A = 3/5, find cos A and tan A.
4-mark questions:
- Prove a complex identity: (1 + tan²A)/(1 + cot²A) = tan²A.
- Prove identities involving sec, cosec combinations.
PYQ pattern: At least one "prove the identity" question (2 or 4 marks) appears in every paper. Standard angle calculations are guaranteed 1-mark questions.
Chapter 12: Applications of Trigonometry
4-mark questions:
- Find the height of a tower given the angle of elevation and distance.
- Two people on opposite sides of a tower — find the distance between them.
- From the top of a building, angles of depression to two points are given — find the height or distance.
5-mark essay question:
- A complex heights-and-distances problem with two angles and multiple triangles.
PYQ pattern: This chapter contributes 4–6 marks every year. The two-angle problem is the most common format. Always draw the diagram first and mark all given data.
Chapter 13: Statistics
2-mark questions:
- Find the mode of grouped data.
- State the empirical relationship: 3 Median = Mode + 2 Mean.
4-mark questions:
- Find the mean of grouped data using assumed mean or step-deviation method.
- Find the median of grouped data from a frequency distribution table.
- Draw an ogive and find the median graphically.
PYQ pattern: Mean calculation (4 marks) appears every year. Median from ogive (4 marks) appears 4 out of 5 years. Practice both methods.
Chapter 14: Probability
1-mark questions:
- Find the probability of a simple event (coin, die).
2-mark questions:
- A bag contains coloured balls — find P(red) and P(not red).
- Two dice are thrown — find the probability of a specific sum.
- Playing cards — find the probability of drawing a specific card.
PYQ pattern: One question (1–2 marks) is guaranteed. Probability is easy marks — do not skip it. Card-based problems and dice problems alternate between years.
60-Day Study Plan Using This Question List
Days 1–20: Paper I Focus
| Days | Chapter | What to Do |
|---|---|---|
| 1–4 | Quadratic Equations | Solve all 4-mark word problems, practice formula derivation |
| 5–8 | Linear Equations | Graphical method (essay), word problems |
| 9–11 | Progressions | AP sum problems, nth term |
| 12–14 | Coordinate Geometry | Section formula, area of triangle |
| 15–16 | Polynomials | Zeroes verification, division algorithm |
| 17–18 | Real Numbers | Euclid's algorithm, irrationality proofs |
| 19–20 | Sets | Venn diagrams, n(A ∪ B) formula |
Days 21–40: Paper II Focus
| Days | Chapter | What to Do |
|---|---|---|
| 21–25 | Similar Triangles | BPT proof, Pythagoras proof, area ratio |
| 26–28 | Mensuration | Combined solids (every type), frustum |
| 29–32 | Trigonometry + Applications | Identity proofs, heights-and-distances problems |
| 33–35 | Tangents and Circles | External point proof, length calculations |
| 36–38 | Statistics | Mean, median, ogive — all methods |
| 39–40 | Probability | Cards, dice, coins — all types |
Days 41–60: Revision and PYQs
| Days | Activity |
|---|---|
| 41–48 | Solve 4 full previous year papers (2 per paper) under timed conditions |
| 49–54 | Revisit all 4-mark and 5-mark questions from the important list |
| 55–58 | Formula sheet revision, weak chapter re-practice |
| 59–60 | Light revision only — focus on diagrams, standard proofs |
Scoring Strategy
Target: 80+ out of 100 (40+ per paper)
- 1-mark questions: aim for 5/5 in each paper (quick recall).
- 2-mark questions: aim for 8/10 (skip the hardest one if stuck).
- 4-mark questions: aim for 16/20 (attempt all, partial marks add up).
- 5-mark questions: aim for 8/10 (choose the question you know best from the choice).
- Problem/construction: aim for 3–5/5 (practice is the only way).
Frequently Asked Questions
How many marks are guaranteed if I study only the top 20 topics?
Based on PYQ analysis, the top 20 topics cover approximately 60–70 marks out of 100. However, the remaining 30–40 marks come from variations within chapters, so studying the full chapter is still recommended for 80+ scores.
Should I focus more on Paper I or Paper II?
Both papers carry 50 marks each. Paper I is more calculation-heavy (Algebra), while Paper II is more proof-and-diagram-heavy (Geometry). Most students find Paper II slightly harder because of proofs. Give Paper II an extra 2–3 days.
Are the question types fixed every year?
The overall structure (VSA, SA, Long Answer) is consistent. The exact number of questions per type can vary slightly. The total of 50 marks per paper does not change.
Do I need to memorize proofs?
Yes. BPT proof, Pythagoras Theorem proof, irrationality proof, quadratic formula derivation, and tangent-from-external-point proof appear almost every year. Memorize these 5 proofs.
Is there internal choice in the papers?
Yes. The essay/long answer section typically gives 3 questions and you choose 2. This means you can skip one 5-mark topic per paper if needed.
How different are Telangana Board Maths questions from CBSE?
The core concepts are similar but Telangana Board includes Sets (not in CBSE Class 10), and the two-paper format means more total questions. Telangana questions tend to be more direct and less twisted than CBSE questions.
Where can I find previous year Telangana SSC Maths papers?
Previous year papers are available on the official TSBSE website (bse.telangana.gov.in). Schools also distribute model papers. Padhaao's exam practice mode generates questions based on the Telangana pattern.
What if I cannot solve a 4-mark question in the exam?
Write whatever you know — the formula, the diagram, the first step. TSBSE gives partial marks for correct steps even if the final answer is wrong. Never leave a question blank.
Related Telangana Board Resources
Telangana Board Class 10 Maths Weightage 2027 | Telangana SSC All 6 Subjects Weightage 2027 | Telangana SSC Class 10 Science Important Questions 2027 | Telangana Board Class 10 Important Questions 2027 | Telangana Inter 1st Year Weightage 2027 | Telangana Board TS SSC Class 10 Complete Guide
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Practice Paper I and Paper II topics independently. The exam practice mode generates TSBSE-pattern questions with the same mark distribution as the real exam.
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