Preparing for the UP TGT Mathematics exam requires a clear understanding of mathematical concepts, regular numerical practice and familiarity with different question types. Candidates should focus on strengthening their fundamentals, revising important formulas and solving questions from different topics to improve accuracy and speed.
This UP TGT Maths preparation guide brings together topic-wise video classes, mathematics notes, practice sets, MCQs, important questions, previous year papers and mock tests. Candidates can use these resources to organise their preparation and practise important mathematical concepts for the examination.
Before starting preparation, candidates should check the UP TGT Notification 2026 for the latest examination-related information and refer to the official UP TGT Syllabus to understand the prescribed subject-wise syllabus.
The UP TGT Mathematics examination is conducted as part of the UP TGT recruitment process. Candidates preparing for the Mathematics subject should understand the written examination structure and plan their practice accordingly.
| Particulars | Details |
|---|---|
| Examination | UP TGT 2026 |
| Subject | Mathematics |
| Advertisement Number | 07/2026 |
| Conducting Body | Uttar Pradesh Education Service Selection Commission (UPESSC) |
| Total Questions | 120 |
| General Knowledge Questions | 30 |
| Subject-Related Questions | 90 |
| Examination Duration | 2 hours |
| Correct Answer | +3 marks |
| Incorrect Answer | -1 mark |
| Written Examination Dates | 23 and 24 December 2026 |
Candidates should verify examination instructions and any subsequent updates through the official Commission website.
The UP TGT Mathematics syllabus is an important starting point for preparation. Candidates should refer to the official subject syllabus for the complete prescribed topic list and use it to prioritise their studies.
The available UP TGT Maths video playlist includes classes on several mathematical topics. These classes can help candidates revise concepts and practise questions from the areas covered in the sessions.
1. Algebra
Algebra is an important area of mathematical study. The playlist includes classes on the following topics:
Number System
Sets
Relations and Functions
Complex Numbers
Quadratic Equations
Logarithms
Sequence and Series
Binomial Theorem
Matrices
Determinants
Candidates should revise definitions, properties, formulas and problem-solving methods while practising questions from these topics.
2. Trigonometry and Geometry
Trigonometry and geometry require conceptual clarity and regular practice. The playlist includes sessions on:
Trigonometry
Trigonometric Identities
Trigonometric Angle Substitution
Height and Distance
Area of Triangle
Practise applying trigonometric identities and formulas to different types of numerical problems. Revision of important relationships and properties can also help improve calculation accuracy.
3. Calculus
Calculus is another area covered in the available video classes. The playlist includes sessions on:
Limits and Continuity
Derivatives
Applications of Derivatives
Indefinite Integrals
Definite Integrals
Candidates should understand the basic concepts before moving towards application-based questions. Regular practice of differentiation and integration problems can help improve familiarity with different question patterns.
4. Probability, Permutations and Combinations
These topics involve counting methods, arrangements and probability-based calculations. The playlist includes classes on:
Permutations
Combinations
Permutations and Combinations
Probability
Focus on understanding the underlying concepts and identifying the appropriate method for solving each question.
Note: The topics above are based on the subjects visible in the shared video playlist. They should not be treated as an exhaustive or officially confirmed UP TGT Mathematics syllabus. Refer to the official UP TGT Maths Syllabus before finalising your topic-wise study plan.
Candidates can use topic-wise video lectures to understand mathematical concepts, revise formulas and practise questions with guided explanations. The UP TGT Maths video playlist by Ajay Sir includes sessions on Algebra, Number System, Trigonometry, Calculus, Probability, Permutations and Combinations, and other topics.
| Topic-Wise UP TGT Maths Classes | |
|---|---|
| Lecture Title | Click to Watch |
| UP TGT Maths Class 2026 | Indefinite Integral By Ajay Sir #2 | Click Here to Watch |
| UP TGT Maths Class 2026 | Indefinite Integral By Ajay Sir | Click Here to Watch |
| UP TGT Maths Class 2026 | Application of Derivatives By Ajay Sir #5 | Click Here to Watch |
| UP TGT Maths Class 2026 | Application of Derivatives By Ajay Sir #4 | Click Here to Watch |
| UP TGT Maths Class 2026 | Application of Derivatives By Ajay Sir #3 | Click Here to Watch |
| UP TGT Maths Class 2026 | Application of Derivatives By Ajay Sir #2 | Click Here to Watch |
| UP TGT Maths Class 2026 | Application of Derivatives By Ajay Sir | Click Here to Watch |
| UP TGT Maths Class 2026 | Maths Probability By Ajay Sir #3 | Click Here to Watch |
| UP TGT Maths Class 2026 | Maths Probability By Ajay Sir #2 | Click Here to Watch |
| UP TGT Maths Class 2026 | Maths Probability By Ajay Sir #1 | Click Here to Watch |
The playlist includes multiple sessions for several topics. Candidates can follow the available classes in sequence and practise the questions discussed during each session.
UP TGT Maths Notes can help candidates revise concepts, formulas, definitions and important mathematical properties without having to revisit complete lectures every time.
While preparing notes, candidates should organise information topic-wise and keep the content concise enough for regular revision.
Important formulas: Maintain a separate formula sheet for topics such as Algebra, Trigonometry and Calculus.
Concept summaries: Write short explanations of important definitions, properties and mathematical rules.
Solved examples: Include representative questions with step-by-step solutions.
Important identities: Keep frequently used algebraic and trigonometric identities together.
Common mistakes: Record calculation errors and incorrect approaches identified during practice.
Revision points: Highlight concepts and formulas that require repeated revision.
Candidates should prepare notes alongside their topic-wise study rather than waiting until the entire syllabus has been completed.
Practising important questions helps candidates check their understanding of mathematical concepts and identify areas that need more attention.
While preparing for UP TGT Maths, candidates should practise different question types instead of relying only on formula-based questions.
Some useful question categories include:
Conceptual questions based on mathematical definitions and properties.
Formula-based numerical questions.
Algebraic simplification and equation-based problems.
Trigonometric identity and application-based questions.
Calculus problems involving limits, derivatives and integration.
Probability and counting-based questions.
Questions requiring multiple steps of calculation.
Candidates should solve questions independently before checking the solutions. This helps identify whether a mistake occurred due to a conceptual gap, incorrect formula selection or calculation error.
Multiple-choice questions are an important part of written examination preparation. Regular UP TGT Maths MCQ practice can help candidates become familiar with objective question formats and improve their ability to solve problems within a limited time.
For effective MCQ practice:
Start with topic-wise questions after completing each concept.
Solve questions without looking at the answer or explanation.
Check the solution and understand the correct method.
Revisit questions answered incorrectly.
Practise mixed-topic MCQs after completing individual topics.
Candidates should also maintain a record of incorrect answers to identify recurring mistakes and improve accuracy.
A UP TGT Maths Practice Set allows candidates to assess their preparation through a collection of questions from different mathematical topics. Candidates can use practice sets at different stages of preparation:
| Preparation Stage | Recommended Practice |
|---|---|
| After completing a topic | Solve topic-wise practice questions |
| After completing a group of topics | Attempt mixed-topic practice sets |
| During revision | Practise questions based on formulas and important concepts |
| Before the examination | Attempt timed practice sets and full-length mock tests |
After completing each practice set, review the answers and solutions carefully. The objective should be to understand the method behind each question rather than simply increasing the number of questions attempted.
Solving previous year question papers can help candidates understand the question format, difficulty level and areas that require more practice.
Candidates preparing for the Mathematics subject should use the UP TGT Previous Year Question Papers to become familiar with the written examination pattern. They can also refer to subject-specific UP TGT Maths Previous Year Question Papers to practise Mathematics questions.
Helps understand the objective question format.
Provides practice with questions from different mathematical areas.
Helps identify concepts that require additional revision.
Improves time management during question-solving.
Helps candidates evaluate their preparation level.
Candidates should attempt papers within the prescribed examination duration and analyse their performance after completing each paper.
UP TGT Maths Mock Test helps candidates practise under timed conditions and evaluate their readiness for the examination.
Mock tests should be included in the preparation plan after candidates have developed a reasonable understanding of the important concepts.
Attempt the mock test in a quiet environment.
Follow the prescribed time limit.
Avoid checking formulas or solutions while attempting questions.
Review incorrect and unattempted questions after the test.
Identify topics where accuracy or speed needs improvement.
Revise those topics and attempt another test.
Candidates should pay attention to both accuracy and time management. Since the examination includes negative marking, attempting questions carefully is important.
A structured preparation plan can help candidates cover mathematical concepts systematically and maintain consistency throughout their preparation. Here are some useful UP TGT Maths preparation tips:
1. Understand the Official Syllabus: Start by reviewing the official Mathematics syllabus. Divide the prescribed topics into smaller sections and prepare a study plan based on the time available.
2. Strengthen Basic Concepts: Build a clear understanding of fundamental concepts before moving to complex numerical problems. A strong conceptual foundation makes it easier to solve application-based questions.
3. Follow Topic-Wise Video Classes: Use the available UP TGT Maths video playlist to study and revise the topics covered in the sessions. Make notes of important concepts and solve the questions discussed in class.
4. Prepare a Formula Notebook: Maintain a separate notebook for important formulas, identities, properties and mathematical rules. Revise it regularly to improve recall.
5. Practise Questions Every Day: Set aside time for numerical practice. Solve questions from the topics completed during your study sessions and gradually move towards mixed-topic practice.
6. Solve Previous Year Question Papers: Practise previous year papers to become familiar with the examination format and evaluate your ability to solve questions within the available time.
7. Attempt Mock Tests: Include timed mock tests in your preparation schedule. Analyse your performance after each test and work on the topics where you make repeated mistakes.
8. Revise Regularly: Keep time for revision in your weekly study plan. Revisit formulas, important concepts, solved examples and incorrect questions to strengthen your preparation.
