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TG SSC Maths Model Paper 2026-27: PDF, Blueprint & Question Pattern

Get the TG SSC Maths Model Paper 2026-27 to practise the latest question format and assess your preparation across algebra, geometry, statistics and trigonometry. The 2026 paper also includes problems on sets, polynomials, linear equations, constructions and graphs, helping you revise concepts through exam-style questions.
authorImageMishika Gupta14 Oct, 2026
TG SSC Maths Model Paper

Mathematics preparation for the TG SSC examination involves more than solving textbook exercises. Students need to become familiar with different question formats, practise calculations within a limited time and know how to present proofs, constructions, graphs and step-wise solutions. Regular practice is particularly important for improving accuracy and avoiding time-consuming mistakes during the examination.

The TG SSC Maths Model Paper 2026-27 offers exam-oriented practice across areas such as logarithms, sets, polynomials, statistics, trigonometry and geometry. The  Mathematics Model Paper 2026 is designed for English Medium and mentions 80 marks for the full examination, with 60 marks allotted to Part-A and 2 hours 30 minutes provided for Part-A.

TS SSC Exam Time Table 2027

TG SSC Maths Model Paper 2026-27

 The following questions cover short calculations, concept-based proofs, algebraic problems, constructions, graphs and application-based questions. Practising each section can help students become familiar with the different types of problems included in the TG SSC Maths Model Paper.

Part-A Question Paper

Part-A carries 60 marks and is divided into three sections. The questions include problems based on algebra, sets, geometry, statistics, trigonometry, constructions and quadratic equations.

Section I: Very Short Answer Questions

Students have to answer all six questions. Each question carries 2 marks, making the section worth 12 marks.

  1. If (\log_5 3125=x) and (\log_4 256=y), find (x+y).

  2. Swarna said that there are 16 subsets of the set (A={a,b,c,d}). Do you agree with her statement? Justify.

  3. If (\alpha,\beta,\gamma) are the zeroes of the cubic polynomial (3x^3+5x^2-6x+7), find the product of its zeroes.

  4. If (\triangle ABC\sim\triangle DEF), (BC=4) cm, (EF=3) cm and the area of (\triangle ABC=36) cm², find the area of (\triangle DEF).

  5. Write the mean and median of the first seven prime numbers.

  6. Show that (\frac{\sin^2 A}{1+\cos A}=1-\cos A).

Section II: Short Answer Questions

Students have to answer all six questions. Each question carries 4 marks, making the section worth 24 marks.

  1. Write the formula for the mode of grouped data and explain each term in it.

  2. Prove that (\sqrt7-\sqrt5) is irrational.

  3. If (A={x\mid x\in\mathbb N,x<10}) and (B={x\mid x\text{ is a factor of }10}), show that:
    [
    n(A\cup B)+n(A\cap B)=n(A)+n(B)
    ]

  4. Solve the following pair of linear equations using the elimination method:
    [
    5x+7y=50
    ]
    [
    7x+5y=46
    ]

  5. Divide (4x^3+7x^2+8x-10) by (x^2+x-5).

  6. Show that:
    [
    \frac{1+\cot^2 A}{\tan^2 A+1}=\cot^2 A
    ]

Section III: Essay Type Questions

Students have to answer all the questions in this section. Each question carries 6 marks. The  paper lists questions 13 to 18 under this section.

  1. Construct a (\triangle ABC), where (AB=5) cm, (BC=4) cm and (AC=4) cm. Construct another triangle similar to (\triangle ABC) with its sides equal to (\frac25) of the corresponding sides of (\triangle ABC).

  2. Draw the graph of (x^2-3x-10) and find its zeroes.

  3. Two men standing on either side of a cell tower of height 25 m observe its top at angles of elevation (45^\circ) and (60^\circ), respectively. Find the distance between the two men.

  4. Find the median of the following frequency distribution:

Class Interval

1–7

7–13

13–19

19–25

25–32

32–38

Frequency

3

5

7

10

2

3


  1. A Mathematics book has 396 pages divided into two parts. The second part has 64 more pages than the first part. Find the number of pages in each part.

  2. If ((3.5)^x=(0.35)^y=10,000), find the value of (\frac1x-\frac1y).

TG SSC Maths Model Paper for English & Telugu Medium

Students can practise Mathematics concepts in the medium prescribed for their TG SSC examination. Along with solving the questions, focus on mathematical terminology, formulas, calculations and the presentation of proofs and constructions.

Medium

Practice Focus

English Medium

Practise mathematical solutions, proofs, constructions, graphs and calculations using the prescribed terminology.

Telugu Medium

Revise the same concepts using the terminology and explanations followed in the Telugu-medium textbooks.

TG SSC Maths Model Paper with Answers

Practising questions with answers helps students check their calculations, understand solution methods and identify the steps required for proofs and numerical problems. The  paper does not include an official answer key, so the solutions below should be treated as practice answers.

Question

Answer

If (\log_5 3125=x) and (\log_4 256=y), find (x+y).

(3125=5^5), so (x=5). Also, (256=4^4), so (y=4). Therefore, (x+y=9).

How many subsets does (A={a,b,c,d}) have?

A set with 4 elements has (2^4=16) subsets. Therefore, Swarna's statement is correct.

Find the product of the zeroes of (3x^3+5x^2-6x+7).

For (ax^3+bx^2+cx+d), the product of the zeroes is (-d/a). Hence, the product is (-7/3).

Find the area of (\triangle DEF) if (BC=4) cm, (EF=3) cm and area of (\triangle ABC=36) cm².

Since the triangles are similar, (\frac{BC}{EF}=\frac43). The ratio of areas is (\frac{16}{9}). Hence, (36/\text{Area of DEF}=16/9), giving Area of DEF = 20.25 cm².

Find the mean and median of the first seven prime numbers.

The numbers are 2, 3, 5, 7, 11, 13 and 17. Mean (=58/7\approx8.29), and median (=7).

Show that (\frac{\sin^2 A}{1+\cos A}=1-\cos A).

Since (\sin^2A=1-\cos^2A=(1-\cos A)(1+\cos A)), dividing by (1+\cos A) gives (1-\cos A).

Solve (5x+7y=50) and (7x+5y=46).

Multiplying and eliminating gives (x=3) and (y=5).

Divide (4x^3+7x^2+8x-10) by (x^2+x-5).

Quotient (=4x+3), Remainder (=13x+5).

What is the formula for the mode of grouped data?

(Mode=l+\frac{f_1-f_0}{2f_1-f_0-f_2}\times h), where (l) is the lower boundary of the modal class, (f_1) its frequency, (f_0) the preceding frequency, (f_2) the succeeding frequency and (h) the class size.

TG SSC Maths Blueprint and Exam Pattern 2026-27

The TG SSC Maths blueprint and exam pattern indicate the marks distribution, question types and time allotted to different parts of the examination. Based on the  Mathematics Model Paper 2026, the Part-A distribution is as follows:

Section

Question Type

Questions

Answer Requirement

Marks Each

Total Marks

Section I

Very Short Answer

6

Short solutions

2

12

Section II

Short Answer

6

Detailed solutions/proofs

4

24

Section III

Essay/Long Answer

6

\Step-wise solutions, constructions, graphs or calculations

6

24

Part-A

—

18

—

—

60

Part-B

_

_

Questions answered on the question paper

_

20

Key Points of the Exam Pattern

  • Part-A carries 60 marks.

  • Section I contains six 2-mark questions.

  • Section II contains six 4-mark questions.

  • Section III contains six 6-mark questions.

  • The  paper gives 2 hours 30 minutes for Part-A.

  • The total examination duration mentioned in the paper is 3 hours 30 minutes.

  • The total maximum marks mentioned are 80, with Part-A carrying 60 marks.

  • The instructions state that Part-A answers are written in a separate answer book, while Part-B answers are written on the question paper and attached to the Part-A answer book.

  • Students should verify the latest official 2026-27 blueprint and examination scheme before the final examination.

TG SSC Maths Model Paper 2026-27 PDF

Practise with the Mathematics model paper to understand the question format, marks distribution and types of problems included in Part A.

TG SSC Maths Model Paper 2026-27 PDF

Study without using the internet

TG SSC Maths Important Questions 2026-27

Important questions can help students focus revision on concepts that require calculations, proofs, constructions, graphs and application-based problem-solving. The model paper includes questions from several major areas of Mathematics.

  1. If (\log_5 3125=x) and (\log_4 256=y), find (x+y).

  2. Find the number of subsets of a set containing four elements.

  3. If (\alpha,\beta,\gamma) are the zeroes of a cubic polynomial, find their product.

  4. Solve a problem based on the areas of similar triangles.

  5. Find the mean and median of a given set of prime numbers.

  6. Prove a trigonometric identity involving (\sin A) and (\cos A).

  7. Write and explain the formula for the mode of grouped data.

  8. Prove that (\sqrt7-\sqrt5) is irrational.

  9. Verify an identity involving the cardinality of union and intersection of sets.

  10. Solve a pair of linear equations using the elimination method.

  11. Divide a cubic polynomial by a quadratic polynomial and find the quotient and remainder.

  12. Prove a trigonometric identity involving (\cot A) and (\tan A).

  13. Construct a triangle similar to a given triangle in a specified ratio.

  14. Draw the graph of a quadratic polynomial and find its zeroes.

  15. Solve a height-and-distance problem involving angles of elevation.

  16. Find the median of a grouped frequency distribution.

  17. Solve a word problem using a pair of linear equations.

  18. Solve an exponential/logarithmic problem involving two variables.

How to Prepare with TG SSC Maths Model Papers

Model papers are most useful when students solve them under examination conditions and review the complete solution afterwards. Regular practice can improve calculation speed, accuracy and familiarity with different types of Mathematics questions.

  • Solve without help: Attempt the questions before referring to formulas, notes or solved examples.

  • Follow the time limit: Practise completing Part-A within the prescribed 2 hours 30 minutes.

  • Show calculation steps: Write important steps clearly, especially in algebra, statistics and trigonometry.

  • Practise proofs: Revise the logic and sequence used in irrationality and trigonometric proofs.

  • Draw constructions and graphs: Practise accurate constructions and clearly labelled graphs.

  • Revise formulas: Keep important formulas for statistics, trigonometry, geometry and algebra ready for regular revision.

  • Check calculations: Rework incorrect answers to identify calculation or conceptual errors.

  • Practise chapter-wise: Solve questions from individual chapters before attempting complete model papers.

  • Attempt multiple papers: Different model papers can help you practise changes in question wording and application.

Solving the TG SSC Maths Model Paper 2026-27 helps students assess their preparation through exam-style questions. Use it to practise different question types, manage time and identify concepts that require further revision. Regular practice with model papers, along with revision of formulas and important questions, can help improve accuracy and readiness for the TG SSC Mathematics examination.

Also Check,

Subject Model Paper Resource
Social Science TG SSC Social Science Model Paper 2026-27
Physics TG SSC Physics Model Paper 2026-27
Telugu TG SSC Telugu Model Paper 2026-27
Hindi TG SSC Hindi Model Paper 2026-27
English TG SSC English Model Paper 2026-27
Biology TG SSC Biology Model Paper 2026-27

PW provides TG Inter 2nd Year exam content, including Telangana 10th Board Exam Blogs, sample papers, mock tests, guidance sessions, and more. Also, enrol today in TG SSC Online Coaching to prepare.  

TG SSC Maths Model Paper 2026-27 FAQs

How many marks is the TG SSC Maths Model Paper?

The Mathematics Model Paper 2026 has a maximum of 80 marks. Part A carries 60 marks.

What is the duration of the TG SSC Maths examination?

The model paper mentions a total examination duration of 3 hours 30 minutes, with 2 hours 30 minutes allotted to Part A.

What topics are covered in the TG SSC Maths Model Paper?

The model paper covers logarithms, sets, polynomials, similar triangles, statistics, trigonometry, irrational numbers, linear equations, polynomial division, constructions, quadratic equations and height-and-distance problems.

How can model papers help with TG SSC Maths preparation?

Model papers help students practise calculations, proofs, constructions, graphs and application-based problems while improving time management and identifying areas that require further revision.
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