TG Inter 2nd Year Maths Model Paper 2026-27: Download PDF

Solve the papers under exam-like conditions and review your answers afterwards to identify topics that need further revision. 

TG Inter 2nd Year Maths Model Paper Pattern

The paper follows three sections. You need to follow the instructions given for each section while practising.

Section A: Very Short Answer Questions

Section A contains 10 questions. Each question carries 2 marks, making the section worth 20 marks. You have to attempt all questions.

In Mathematics Paper-II(A), the questions include topics such as complex numbers, trigonometric functions, equations, permutations and combinations, binomial coefficients, mean deviation and Poisson distribution.

In Mathematics Paper-II(B), Section A includes questions on circles, tangents, common chords, parabolas, hyperbolas, integration, areas and differential equations.

Section B: Short Answer Questions

Section B contains 7 questions, numbered 11 to 17. You have to attempt any five questions. Each question carries 4 marks. The section has a total of 20 marks.

Paper-II(A) includes questions based on complex numbers, inequalities, number formation, combinations, partial fractions and probability. It also includes a probability question involving two students attempting to solve a problem independently.

Paper-II(B) includes questions on the length of a chord, angles between circles, properties of an ellipse, tangent and normal, tangents to a hyperbola, definite integration and differential equations.

Section C: Long Answer Questions

Section C contains 7 questions, numbered 18 to 24. You have to attempt any five questions. Each question carries 7 marks, making the section worth 35 marks.

Paper-II(A) includes long-answer questions on complex numbers, equations, binomial theorem, infinite series, statistics and probability. The final questions also include independent events, the multiplication theorem of probability and a discrete random variable.

Paper-II(B) includes long-answer questions on circles, touching circles, the standard form of a parabola, integration, reduction formulae, and differential equations.

TG Inter 2nd Year Maths Model Paper Questions

The model papers contain questions from different areas of the Mathematics syllabus. You can use these questions to understand the type of problems included in each section.

Mathematics Paper-II(A) Questions

The Inter 2nd Year Maths Model Paper for Paper-II(A) includes the following types of questions:

• Finding the product of two complex numbers.

• Finding the multiplicative inverse of a complex number.

• Using complex numbers related to the angles of a triangle.

• Finding an unknown value when two quadratic equations have a common root.

• Working with the roots of a cubic equation.

• Solving a problem involving permutations.

• Finding a ratio involving binomial coefficients.

• Finding mean deviation from the mean for given data.

• Finding a probability related to a Poisson variable.

• Proving results involving complex numbers.

• Finding the sum of four-digit numbers formed from given digits.

• Resolving a rational expression into partial fractions.

• Solving probability problems involving events.

• Finding the sum of an infinite series.

• Finding mean deviation from the median.

• Proving the multiplication theorem of probability.

• Finding probabilities for a given random variable.

These questions give you practice across different parts of Paper-II(A). You can solve them section by section and check how much time you need for each type of question.

Mathematics Paper-II(B) Questions

The TS Intermediate 2nd Year Maths Model Paper for Paper-II(B) includes questions related to coordinate geometry, calculus and differential equations.

Some of the question types include:

• Finding the centre and radius of a circle.

• Finding a value using the length of a tangent.

• Finding the equation of a common chord of two circles.

• Finding the tangent to a parabola at the positive end of its latus rectum.

• Finding the eccentricity of a hyperbola.

• Evaluating indefinite and definite integrals.

• Finding the area enclosed by a curve and coordinate lines.

• Forming a differential equation from a given family of curves.

• Finding the length of a chord intercepted by a circle.

• Finding the angle between two circles.

• Finding the latus rectum, eccentricity, foci and directrices of an ellipse.

• Finding the equation of a tangent and normal to an ellipse.

• Finding tangents to a hyperbola with specified conditions.

• Solving a differential equation.

• Finding the equation of a circle under given conditions.

• Proving that two circles touch and finding their point of contact.

• Deriving the standard form of a parabola.

• Using reduction formulae for integration.

• Evaluating definite integrals.

• Solving a differential equation involving inverse trigonometric functions.

How to Use the TG Inter 2nd Year Maths Model Paper

You can follow a simple practice plan while solving the model papers.

• Review the paper pattern: Note the marks and question distribution across Sections A, B and C.

• Attempt Section A carefully: Solve all 10 questions while avoiding unnecessary time on any single question.

• Manage Section B: Choose five questions that you can solve confidently and show the required steps.

• Plan Section C: Attempt five long-answer questions and present the complete solution clearly.

• Set a three-hour timer: Solve the paper without referring to textbooks or notes.

• Analyse mistakes: Identify incorrect concepts, calculation errors and questions that took too long.

• Revise weak areas: Revisit the relevant formulas and concepts before attempting the paper again.

• Improve presentation: Show important steps clearly, especially in long-answer questions.

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