Course module
Mathematics & Science — UPTET Paper 2 2026
- Lessons
- 569
- Duration
- 83 hr
- PYQs
- 1798
- Practice
- 4995
19% of this course's PYQ weight is covered in this module.
Syllabus index
Lessons in this module
Number System
Factors, Multiples & Prime Factorization
- Demo: Short Tricks to Find Number & Product of FactorsStandard Video
- [Notes] Short Tricks to Find Number & Product of FactorsPdf
- Demo: Tricky Important Questions on Finding Product of FactorsStandard Video
- [Notes] Tricky Important Questions on Finding Product of FactorsPdf
- Demo: Short Tricks to Find Number of Odd & Even FactorsStandard Video
- [Notes] Short Tricks to Find Number of Odd & Even FactorsPdf
- Tricks To Find Sum of Factors & Sum of Odd & Even FactorsDrm Video
- [Notes] Tricks To Find Sum of Factors & Sum of Odd & Even FactorsPdf
- Finding those Factors of 'P' which are divisible by 'Q'Drm Video
- [Notes] Finding those Factors of 'P' which are divisible by 'Q'Pdf
- 86-7776 NVS 2019Drm Video
Concept of Remainders
- Concept of Reminders (Part 1)Drm Video
- [Notes] Concept of Reminders (Part 1)Pdf
- Concept of Reminders (Part 2)Drm Video
- [Notes] Concept of Reminders (Part 2)Pdf
- Concept of Reminders (Part 3)Drm Video
- [Notes] Concept of Reminders (Part 3)Pdf
- Concept of Reminders (Part 4)Drm Video
- [Notes] Concept of Reminders (Part 4)Pdf
- Short Trick for Reminders on Successive DivisionsDrm Video
- [Notes] Short Trick for Reminders on Successive DivisionsPdf
Unit Digit & Last Digit Concepts
Perfect Squares, Perfect Cubes, Power, Square Root and Patterns
- Interesting Facts About Perfect Squares & Perfect CubesDrm Video
- [Notes] Interesting Facts About Perfect Squares & Perfect CubesPdf
- Tricks to Find Factors that are Perfect Squares & CubesDrm Video
- [Notes] Tricks to Find Factors that are Perfect Squares & CubesPdf
- Question - Find Factors that are Perfect Squares & CubesDrm Video
- [Notes] Question - Find Factors that are Perfect Squares & CubesPdf
- Number Systems - HOT Questions (1)Drm Video
- [Notes] Number Systems - HOT Questions (1)Pdf
- Number Systems - HOT Questions (2)Drm Video
- [Notes] Number Systems - HOT Questions (2)Pdf
HCF LCM
Finding HCF
- Demo: Tricks for HCF by Inspection, HCF by Prime FactorizationStandard Video
- [Notes] Tricks for HCF by Inspection, HCF by Prime FactorizationPdf
- Demo: Trick to find HCF by Long Division MethodStandard Video
- [Notes] Trick to find HCF by Long Division MethodPdf
- Demo: Short Trick to find HCF by minimum difference methodStandard Video
- [Notes] Short Trick to find HCF by minimum difference methodPdf
- Short Trick to find HCF by using smallest elementDrm Video
- [Notes] Short Trick to find HCF by using smallest elementPdf
- An Important Property of HCF & LCM + Practice QuestionDrm Video
- [Notes] An Important Property of HCF & LCM + Practice QuestionPdf
- How to find HCF Quickly with the help of given optionsDrm Video
- [Notes] How to find HCF Quickly with the help of given optionsPdf
- Short Trick to find HCF of Big NumbersDrm Video
- [Notes] Short Trick to find HCF of Big NumbersPdf
- Short Trick to find HCF of more than 2 numbersDrm Video
- [Notes] Short Trick to find HCF of more than 2 numbersPdf
- Short Trick to find HCF using Co-Prime Numbers ConceptDrm Video
- [Notes] Short Trick to find HCF using Co-Prime Numbers ConceptPdf
HCF and LCM of Fractions and Decimals
- Short Tricks to calculate HCF of Decimals & FractionsDrm Video
- [Notes] Short Tricks to calculate HCF of Decimals & FractionsPdf
- Short Trick to find LCM of decimal numbersDrm Video
- [Notes] Short Trick to find LCM of decimal numbersPdf
- Short Trick to find LCM & HCF of fractionsDrm Video
- [Notes] Short Trick to find LCM & HCF of fractionsPdf
Basic Concepts: Factors, Multiples, Prime & Composite Numbers
- Part 1 - Short Tricks to check Divisibility by 7 & 13Drm Video
- [Notes] Part 1 - Short Tricks to check Divisibility by 7 & 13Pdf
- Part 2 - Short Tricks to check Divisibility by 7 & 13Drm Video
- [Notes] Part 2 - Short Tricks to check Divisibility by 7 & 13Pdf
- Another Short Trick to find HCF of Big NumbersDrm Video
- [Notes] Another Short Trick to find HCF of Big NumbersPdf
Finding LCM
- What is a multiple What is LCM Find LCM by inspectionDrm Video
- [Notes] What is a multiple What is LCM Find LCM by inspectionPdf
- Short Trick to Find LCM in just 5 secondsDrm Video
- [Notes] Short Trick to Find LCM in just 5 secondsPdf
- Short Trick to find LCM using Division methodDrm Video
- [Notes] Short Trick to find LCM using Division methodPdf
- Short Trick to find LCM using Prime FactorizationDrm Video
- [Notes] Short Trick to find LCM using Prime FactorizationPdf
- Short Trick to find LCM using Co-Prime Numbers ConceptDrm Video
- [Notes] Short Trick to find LCM using Co-Prime Numbers ConceptPdf
- Short Trick to find LCM of more than 2 numbersDrm Video
- [Notes] Short Trick to find LCM of more than 2 numbersPdf
- Short Trick to find LCM of big numbersDrm Video
- [Notes] Short Trick to find LCM of big numbersPdf
- Short Trick to find LCM of 2 numbers when HCF is givenDrm Video
- [Notes] Short Trick to find LCM of 2 numbers when HCF is givenPdf
Ratio and Proportion (Ratios)
Basic Concepts & Properties of Ratio
Types of Ratio
Direct, Inverse & Joint Variation
Basic Concepts & Properties of Proportion
Division of Quantity in a Given Ratio
- Short Trick to Divide a Given Number X in ratio of M NDrm Video
- [Notes] Short Trick to Divide a Given Number X in ratio of M NPdf
- Short Trick to bring given set of numbers in proportionDrm Video
- [Notes] Short Trick to bring given set of numbers in proportionPdf
- Short Trick to convert given ratio into required ratioDrm Video
- [Notes] Short Trick to convert given ratio into required ratioPdf
- Finding ratio of 2 numbers from their sum & differenceDrm Video
- [Notes] Finding ratio of 2 numbers from their sum & differencePdf
Successive & Combined Ratio Problems
- Short Trick to Find A C when A B & B C is givenDrm Video
- [Notes] Short Trick to Find A C when A B & B C is givenPdf
- Short Trick to Find A B C given some mA = nB = pCDrm Video
- [Notes] Short Trick to Find A B C given some mA = nB = pCPdf
- Short Trick to find (mX + nY) (pX + qY) given x yDrm Video
- [Notes] Short Trick to find (mX + nY) (pX + qY) given x yPdf
- Short Trick to Find bigger ratio out of given 2 ratiosDrm Video
- [Notes] Short Trick to Find bigger ratio out of given 2 ratiosPdf
Percentage
Basic Concepts, Terminologies & Properties
Conversion Between Fractions (Ratio) & Percentages
- Demo: Basics of Percentages, Percentage - Fraction ConversionsStandard Video
- [Notes] Basics of Percentages, Percentage - Fraction ConversionsPdf
- Important Property, Trick to find 10 & 1 percent of any numberDrm Video
- [Notes] Important Property, Trick to find 10 & 1 percent of any numberPdf
- Short Tricks to Remember Ratio to Percentage Table Part 1Drm Video
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 1Pdf
- Short Tricks to Remember Ratio to Percentage Table Part 2Drm Video
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 2Pdf
- Short Tricks to Remember Ratio to Percentage Table Part 3Drm Video
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 3Pdf
- Short Tricks to Remember Ratio to Percentage Table Part 4Drm Video
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 4Pdf
- Practice Problems on Ratio to Percentage ConversionDrm Video
- [Notes] Practice Problems on Ratio to Percentage ConversionPdf
- Practice Problems on Percentage to Ratio ConversionDrm Video
- [Notes] Practice Problems on Percentage to Ratio ConversionPdf
- Question on Ratio to Percentage ConversionDrm Video
- [Notes] Question on Ratio to Percentage ConversionPdf
Finding Percentage
Powers and Exponents (Surds and Indices)
Laws of Surds & Simplification
Rationalization of Surds
Comparing & Simplifying Complex Powers
Algebra
Basic Concepts & Fundamental Operations
Laws & Identities of Algebra
Factorization & Simplification
Linear Equations
Quadratic Equations
Polynomials & Algebraic Expressions
Simplification Based Problems
Mensuration and Geometry
Basic Concepts and Geometric Terminology
Statistics
Introduction & Types of Data
Mean, Median, and Mode for grouped data
Probability
Basic Concepts and Terminology
- What is Experiment, Event, Favorable & Total OutcomeDrm Video
- [Notes] What is Experiment, Event, Favorable & Total OutcomePdf
- What is Sure Event, Impossible Event, Complementary EventDrm Video
- [Notes] What is Sure Event, Impossible Event, Complementary EventPdf
- Short Trick to find total outcomes in an experimentDrm Video
- [Notes] Short Trick to find total outcomes in an experimentPdf
- Mutually Exclusive Events & Exhaustive EventsDrm Video
- [Notes] Mutually Exclusive Events & Exhaustive EventsPdf
- Odds in Favour of an event & Odds Against An EventDrm Video
- [Notes] Odds in Favour of an event & Odds Against An EventPdf
Classical Problems (Cards, Dice, Coins, Digits, Number, Objects)
- Short Tricks to deal with cases of 'At least' & 'At most'Drm Video
- [Notes] Short Tricks to deal with cases of 'At least' & 'At most'Pdf
- Tricks & Techniques to Solve Dice Sum ProblemsDrm Video
- [Notes] Tricks & Techniques to Solve Dice Sum ProblemsPdf
- Tricks & Techniques to Solve Playing Cards ProblemDrm Video
- [Notes] Tricks & Techniques to Solve Playing Cards ProblemPdf
- Finding Probability of 53 Sundays in a Leap YearDrm Video
- [Notes] Finding Probability of 53 Sundays in a Leap YearPdf
Probability Using Venn Diagrams & Set Theory
Profit and Loss
Basic Concepts, Formulas and Quick Transformations
Finding Profit, Loss, Cost Price, Selling Price, Profit Percent and Loss Percent
Multiple Items and Mixed Rate Problems
Overall Profit and Loss (Combined Transactions)
Discount, Marked Price and Trader Tricks (Including False Weight)
Simple Interest and Compound Interest
Simple Interest - Basic Concepts, Formulas and Terminologies
- Terminology Principal, Rate, Time, Interest, AmountDrm Video
- [Notes] Terminology Principal, Rate, Time, Interest, AmountPdf
- Simple Interest Basic Concepts & FormulasDrm Video
- [Notes] Simple Interest Basic Concepts & FormulasPdf
- Simple Interest Basic Level QuestionsDrm Video
- [Notes] Simple Interest Basic Level QuestionsPdf
- Simple Interest Important Practice Questions (Set 1)Drm Video
- [Notes] Simple Interest Important Practice Questions (Set 1)Pdf
Simple Interest – Applications
- Tricks & Questions on money becoming multiple times on SIDrm Video
- [Notes] Tricks & Questions on money becoming multiple times on SIPdf
- Questions on Extra Amount Received on Extra Interest RateDrm Video
- [Notes] Questions on Extra Amount Received on Extra Interest RatePdf
- Short Trick for Questions on Variable Rate of InterestDrm Video
- [Notes] Short Trick for Questions on Variable Rate of InterestPdf
- Short Trick for Questions on Difference in SIDrm Video
- [Notes] Short Trick for Questions on Difference in SIPdf
- Short Trick for Questions on Difference in AmountDrm Video
- [Notes] Short Trick for Questions on Difference in AmountPdf
- Questions on Principal Money Divided into PartsDrm Video
- [Notes] Questions on Principal Money Divided into PartsPdf
- Simple Interest Important Practice Questions (Set 2)Drm Video
- [Notes] Simple Interest Important Practice Questions (Set 2)Pdf
Installments and Debt-Related Problems
Compound Interest – Core Concepts
- Compound Interest An IntroductionDrm Video
- [Notes] Compound Interest An IntroductionPdf
- Compound Interest Formula & Comparison with SIDrm Video
- [Notes] Compound Interest Formula & Comparison with SIPdf
- Short Trick to Find Compound Interest in just 10 SecondsDrm Video
- [Notes] Short Trick to Find Compound Interest in just 10 SecondsPdf
- Compound Interest Basics + Problem Solving (1)Drm Video
- [Notes] Compound Interest Basics + Problem Solving (1)Pdf
- Compound Interest Basics + Problem Solving (2)Drm Video
- [Notes] Compound Interest Basics + Problem Solving (2)Pdf
- Compound Interest Basics + Problem Solving (3)Drm Video
- [Notes] Compound Interest Basics + Problem Solving (3)Pdf
Data Interpretation
Basic Concepts & Terminologies
- Demo: Pre-requisites & Basic ConceptsStandard Video
- [Notes] Pre-requisites & Basic ConceptsPdf
- Demo: Types of GraphsStandard Video
- [Notes] Types of GraphsPdf
- Demo: Tricks Ratio to Percentage TableStandard Video
- [Notes] Tricks Ratio to Percentage TablePdf
- Ratio - Percentage ConversionDrm Video
- [Notes] Ratio - Percentage ConversionPdf
Table Graph
Pie Chart (Pie Graph)
Sequence and Series (Series)
Basic Concepts & Terminologies
Arithmetic Progression (AP)
Arithmetic Mean & Geometric Mean (AM-GM)
Multiple Topics
- Some Important Questions on Sequence & SeriesDrm Video
- [Notes] Some Important Questions on Sequence & SeriesPdf
- Effect of Addition, Subtraction, Multiplication, DivisionDrm Video
- [Notes] Effect of Addition, Subtraction, Multiplication, DivisionPdf
- Quick Revision and Practice QuestionsDrm Video
- [Notes] Quick Revision and Practice QuestionsPdf
Time and Work
Basic Concepts of Work & Efficiency
Individual Work and Combined Work Problems
Efficiency Ratio and Comparative Work Rate
Alternate Days & Remaining Work Problems
Divisibility Rules
Basic Concepts of Divisibility
Divisibility Rules for all Numbers
- Demo: Divisibility Rules of 2, 3 and 4Standard Video
- [Notes] Divisibility Rules of 2, 3 and 4Pdf
- Demo: Divisibility Rules of 5, 6 and 7Standard Video
- [Notes] Divisibility Rules of 5, 6 and 7Pdf
- Divisibility Rules of 8, 9, 10 and 11Drm Video
- [Notes] Divisibility Rules of 8, 9, 10 and 11Pdf
- Divisibility Rules of 11, 12 and 13Drm Video
- [Notes] Divisibility Rules of 11, 12 and 13Pdf
- Amazing Short Trick for Divisibility of 7 and 13Drm Video
- [Notes] Amazing Short Trick for Divisibility of 7 and 13Pdf
- All Divisibility Rules of 13 in a single videoDrm Video
- [Notes] All Divisibility Rules of 13 in a single videoPdf
- Divisibility Rules of 14 and 15Drm Video
- [Notes] Divisibility Rules of 14 and 15Pdf
- Divisibility Rules of 16Drm Video
- [Notes] Divisibility Rules of 16Pdf
- Divisibility Rules of 17 and 18Drm Video
- [Notes] Divisibility Rules of 17 and 18Pdf
- Divisibility Rules of 19Drm Video
- [Notes] Divisibility Rules of 19Pdf
- Divisibility Rules of 20, 21, 22 and 23Drm Video
- [Notes] Divisibility Rules of 20, 21, 22 and 23Pdf
- Divisibility Rules of 24, 25 and 26Drm Video
- [Notes] Divisibility Rules of 24, 25 and 26Pdf
- Divisibility Rules of 27Drm Video
- [Notes] Divisibility Rules of 27Pdf
- Divisibility Rules of 28, 29, 30 and 31Drm Video
- [Notes] Divisibility Rules of 28, 29, 30 and 31Pdf
- Divisibility Rules of 37, 41 and 43Drm Video
- [Notes] Divisibility Rules of 37, 41 and 43Pdf
- Short Trick to remember divisibility rules from 11 to 50Drm Video
- [Notes] Short Trick to remember divisibility rules from 11 to 50Pdf
- Divisibility Rules of Important Numbers From 31 to 1000Drm Video
- [Notes] Divisibility Rules of Important Numbers From 31 to 1000Pdf
Mathematics Problems on Divisibility
Properties of Divisibility
Division and Remainder-Based Problems
Partnership
Basic Concepts, Formulas and Terminologies
Pipe and Cistern
Basic Concepts, Formulas and Terminology
Physics
Motion & Laws of Motion
Gravitation & Properties of Matter
- Physics 05 - GravitationDrm Video
- [Notes] GravitationPdf
- Physics 06 - Mass, Weight & Acceleration due to Gravity (g)Drm Video
- [Notes] Mass, Weight & Acceleration due to Gravity (g)Pdf
- Physics 07 - ESCAPE VELOCITYDrm Video
- [Notes] ESCAPE VELOCITYPdf
- Physics 08 - SATELLITES and ARCHIMEDES’ PRINCIPLEDrm Video
- [Notes] SATELLITES and ARCHIMEDES’ PRINCIPLEPdf
Work, Power, Energy & Simple Machines
Light & Optics
Waves & Sound
Electricity & Magnetism (Electromagnetic Effects)
Heat & Thermal Phenomena
Applied Physics
Multi-Topic Content (Cross-Concept Material)
- Physics 20 - PHYSICS MEMORY TRICKSDrm Video
- [Notes] PHYSICS MEMORY TRICKSPdf
- Physics 21 - Top 100+ Physics Questions for ExamsDrm Video
- [Notes] Top 100+ Physics Questions for ExamsPdf
- Defence Technology- Developments and Strategic Importance (Role of DRDO)Drm Video
- Missiles- Types, Features, and Strategic ImportanceDrm Video
- Ballistic Missiles- Range, Trajectory, and ApplicationsDrm Video
- Agni-V Missile- Features, Range, and Strategic Significance(Part-1)Drm Video
- Agni-V Missile- Features, Range, and Strategic Significance(Part-2)Drm Video
- Agni-P (Agni Prime)- Next-Generation Ballistic MissileDrm Video
- Introduction to Cruise MissilesDrm Video
- Types of Cruise MissilesDrm Video
- Nirbhay- Long-Range Subsonic Cruise Missile of IndiaDrm Video
- Key Points and Important NotesDrm Video
- BrahMos Missile- Supersonic Cruise Missile of India(Part-1)Drm Video
- BrahMos Missile- Supersonic Cruise Missile of India(Part-2)Drm Video
- Shaurya Missile- Features, Range, and Strategic ImportanceDrm Video
- Other Important Missiles of IndiaDrm Video
- Akash Missile- An IntroductionDrm Video
- SubmarinesDrm Video
- Project 75Drm Video
- Diesel Electric Submarines (Scorpene Class)Drm Video
- Diesel Electric SubmarinesDrm Video
- Project 75 (India)Drm Video
- SONARDrm Video
- Arighat SubmarineDrm Video
- Nuclear Powered Submarine in IndiaDrm Video
- SMART TorpedoDrm Video
- Project 15(B)Drm Video
- Project 17(A)Drm Video
- INS VikrantDrm Video
- Types of warshipsDrm Video
- Anti Ballistic DefenceDrm Video
- Unmanned Aereal Vehical (UAV)Drm Video
- kamikaze (suicide) Drone & NETRA DroneDrm Video
- Tejas AircraftDrm Video
- Rafale Fighter JetDrm Video
- Sukhoi 30 Mark 1Drm Video
- Helicopter in NewsDrm Video
- [Notes] General PhysicsPdf
Chemistry
Atomic Structure
Periodic Classification of Elements
Chemical Bonding & Molecular Structure
Chemical Reactions, Redox & Electrochemistry
Acids, Bases & Salts
Metals, Non-Metals & Metallurgy
Carbon & Its Compounds
Applied Chemistry
Biology
Cell: Structure & Division
- Demo: Biological ClassificationStandard Video
- [Notes] Biological ClassificationPdf
- Demo: Tissues and Human AnatomyStandard Video
- [Notes] Tissues and Human AnatomyPdf
- Cell IntroductionDrm Video
- Prokaryotic and Eukaryotic cellsDrm Video
- NucleousDrm Video
- LysosomesDrm Video
- MitochondriaDrm Video
- RibosomesDrm Video
- Endoplasmic ReticulamDrm Video
- Golgi ComplexDrm Video
- Comparison of RER, SER, and Golgi bodiesDrm Video
- Plastids & its typesDrm Video
- VacuoleDrm Video
- Pseudo VacuoleDrm Video
- Why Lysosomes is suicidal bag of cellDrm Video
- Difference between Lysosomes & VacuoleDrm Video
- Prokaryotic CellDrm Video
- Eukaryotic cell, Plant Vs Animal CellDrm Video
- Cell wallDrm Video
- Prokaryotes i.e BacteriaDrm Video
Diversity in Living Organisms
- Demo: Microorganisms, Yeast And Their ApplicationsStandard Video
- [Notes] Microorganisms, Yeast And Their ApplicationsPdf
- Biology 13 - Human Heart and Its WorkingDrm Video
- [Notes] Human Heart and Its WorkingPdf
- Nervous SystemDrm Video
- [Notes] Nervous SystemPdf
- Excretory SystemDrm Video
- [Notes] Excretory SystemPdf
- Nutrition in Plants and AnimalsDrm Video
- [Notes] Nutrition in Plants and AnimalsPdf
- Body SystemDrm Video
Life Processes
Reproduction in Living Organisms
Health, Diseases & Immunity
- DiseaseDrm Video
- Skeletal system diseasesDrm Video
- Mascular system diseasesDrm Video
- Nervous system diseasesDrm Video
- Endocrine system diseasesDrm Video
- Circulatory system diseasesDrm Video
- Lymphetic system diseasesDrm Video
- Respiratory system diseasesDrm Video
- Digestive system diseasesDrm Video
- Urinary system diseasesDrm Video
- Reproductive system diseasesDrm Video
- Sexually transmitted diseasesDrm Video
- Imortant diseases tableDrm Video
- Biology 15 - Basics of Plant and Animal DiseasesDrm Video
- [Notes] Basics of Plant and Animal DiseasesPdf
Environment & Ecology
- Ecology and Diversity of Life finalDrm Video
- [Notes] Ecology and Diversity of LifePdf
- Biology 09 - Food Chain And Food WebDrm Video
- [Notes] Food Chain And Food WebPdf
- Environment and Organism InteractionsDrm Video
- [Notes] Environment and Organism InteractionsPdf
- Biology and Technology in Daily LifeDrm Video
- [Notes] Biology and Technology in Daily LifePdf
Previous-year questions
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