
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.
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 carries 60 marks and is divided into three sections. The questions include problems based on algebra, sets, geometry, statistics, trigonometry, constructions and quadratic equations.
Students have to answer all six questions. Each question carries 2 marks, making the section worth 12 marks.
If (\log_5 3125=x) and (\log_4 256=y), find (x+y).
Swarna said that there are 16 subsets of the set (A={a,b,c,d}). Do you agree with her statement? Justify.
If (\alpha,\beta,\gamma) are the zeroes of the cubic polynomial (3x^3+5x^2-6x+7), find the product of its zeroes.
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).
Write the mean and median of the first seven prime numbers.
Show that (\frac{\sin^2 A}{1+\cos A}=1-\cos A).
Students have to answer all six questions. Each question carries 4 marks, making the section worth 24 marks.
Write the formula for the mode of grouped data and explain each term in it.
Prove that (\sqrt7-\sqrt5) is irrational.
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)
]
Solve the following pair of linear equations using the elimination method:
[
5x+7y=50
]
[
7x+5y=46
]
Divide (4x^3+7x^2+8x-10) by (x^2+x-5).
Show that:
[
\frac{1+\cot^2 A}{\tan^2 A+1}=\cot^2 A
]
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.
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).
Draw the graph of (x^2-3x-10) and find its zeroes.
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.
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 |
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.
If ((3.5)^x=(0.35)^y=10,000), find the value of (\frac1x-\frac1y).
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. |
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. |
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 |
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.
Practise with the Mathematics model paper to understand the question format, marks distribution and types of problems included in Part A.
Study without using the internet
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.
If (\log_5 3125=x) and (\log_4 256=y), find (x+y).
Find the number of subsets of a set containing four elements.
If (\alpha,\beta,\gamma) are the zeroes of a cubic polynomial, find their product.
Solve a problem based on the areas of similar triangles.
Find the mean and median of a given set of prime numbers.
Prove a trigonometric identity involving (\sin A) and (\cos A).
Write and explain the formula for the mode of grouped data.
Prove that (\sqrt7-\sqrt5) is irrational.
Verify an identity involving the cardinality of union and intersection of sets.
Solve a pair of linear equations using the elimination method.
Divide a cubic polynomial by a quadratic polynomial and find the quotient and remainder.
Prove a trigonometric identity involving (\cot A) and (\tan A).
Construct a triangle similar to a given triangle in a specified ratio.
Draw the graph of a quadratic polynomial and find its zeroes.
Solve a height-and-distance problem involving angles of elevation.
Find the median of a grouped frequency distribution.
Solve a word problem using a pair of linear equations.
Solve an exponential/logarithmic problem involving two variables.
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 |
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