2025 UP TGT Mathematics Key Questions: Topic-Wise Multiple Choice Exam Preparation
Preparing for the upcoming UP TGT Maths exam in 2025? Here's a rundown of the important topics and questions that you should focus on to ace the test.
The UP TGT Maths syllabus for the 2025 exam covers core mathematical topics such as Algebra, Trigonometry, Calculus, Geometry, Statistics, Probability, Set Theory, Determinants, Real Analysis, Vector Analysis, Complex Numbers, and Permutation & Combination, and their applications.
Algebra
Polynomials, Quadratic Equations, Theory of Equations, Linear Equations, Matrices, Eigenvalues, and Complex Numbers are some of the key topics in Algebra. Additionally, Permutation & Combination questions are also likely to appear, testing your understanding of these concepts.
Trigonometry
Identities, Ratios, Graphs, and Laws of Sines and Cosines are the main topics in Trigonometry. Make sure to brush up on these areas to score well on the exam.
Calculus
Limits, Continuity, Differentiability, Derivatives, Integrals, and Applications of Calculus are the essential topics in Calculus.
Statistics & Probability
Mean, Median, Mode, Standard Deviation, and Probability are the key topics in Statistics & Probability.
Set Theory
Operations on sets, Venn Diagrams, Relations, and Functions are the main topics in Set Theory.
Determinants
Properties, Cramer's Rule, and Inverse of Matrices are the important topics in Determinants.
Real Analysis
Limits, Sequences, Series, and Riemann Integration are the key topics in Real Analysis.
Geometry & Vector Analysis
Basic geometry concepts and vector operations are the main topics in Geometry & Vector Analysis.
In addition to these topics, questions are often asked from topics like Arithmetic, Algebra, Trigonometry, Geometry, Probability, and so on.
Here are some sample questions based on past exams and practice sets:
- If the sum of two unit vectors is a unit vector, then the magnitude of their difference vector is not provided among the given options.
- A and B respectively toss a coin two times, then the probability of getting the same number of heads is 7/16.
- Another question involves the ratio of sides and interior angles of two regular polygons.
- When a number is divided by 136 the remainder is 36. If the same number is divided by 17, then the remainder is not provided among the given options.
- If α+B = π/2 and B+y = , then tan α can be calculated using the given options, but the exact value is not provided.
- Another expected UP TGT Maths Important Question involves combinations and permutations in the form of binomial coefficients.
- If A is a square matrix and KER, then adj (KA) does not have a unique answer among the given options.
- A pair of dice is thrown. If at least one of them shows 5, then the probability that the sum of their digits will be 10 or more is 1/12.
- The curved surface of a cylinder is 1000 square cm, and a wire of diameter 4 mm is wound round it, so as to cover it completely. The length of the wire is 250 meters.
The UP TGT Maths exam is scheduled for December 18 & 19, 2025. To prepare effectively, make sure to familiarise yourself with the syllabus, clear your basics, solve advanced topics, and memorise relevant formulas. The detailed syllabus breakdown and exam pattern can usually be downloaded from the official UPSESSB website or reliable educational portals.
Good luck with your preparations!
To optimally prepare for the UP TGT Maths exam in 2025, focus on education-and-self-development through learning the various topics, including Algebra, Trigonometry, Calculus, Geometry, Statistics, Probability, Set Theory, Determinants, Real Analysis, Vector Analysis, Complex Numbers, and Permutation & Combination. Practice answering questions in these areas, such as finding the difference between two unit vectors or calculating the probability of getting the same number of heads in two coin tosses.
