Course module
गणित / Mathematics — 16 प्रश्न — UP Super TET 2026 — सहायक अध्यापक (कक्षा 1–5)
अंकीय क्षमता, दशमलव, भिन्न, ब्याज, लाभ-हानि, प्रतिशत, बीजगणित, क्षेत्रफल, औसत, अनुपात, ज्यामिति, सांख्यिकी (कक्षा 12 स्तर)। / Mathematics.
Explore the module outline and lessons below. Enroll free to begin studying here.
Return to /learn/UPESSC-ASSISTANT-TEACHER-RECRUITMENT/mathematics-practice after enrolling
- Lessons
- 342
- Duration
- 52 hr 5 min
- PYQs
- 28
- Practice
- 4412
13% 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
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
Arithmetic
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
Properties of Divisibility
Mathematics Problems on Divisibility
Division and Remainder-Based Problems
HCF LCM
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 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
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
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
Powers and Exponents (Surds and Indices)
Laws of Surds & Simplification
Rationalization of Surds
Comparing & Simplifying Complex Powers
Algebra
Basic Concepts & Fundamental Operations
Polynomials & Algebraic Expressions
Laws & Identities of Algebra
Factorization & Simplification
Linear Equations
Quadratic Equations
Simplification Based Problems
Ratio and Proportion (Ratios)
Basic Concepts & Properties of Ratio
Types of Ratio
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
Direct, Inverse & Joint Variation
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
Average
Basic Concepts and Formulas
Average of Consecutive / Odd / Even / Natural Numbers
Change in Average (When Members Join, Leave, or Replace)
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
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
Installments and Debt-Related Problems
Mensuration and Geometry
Basic Concepts and Geometric Terminology
2D Mensuration (Plane Figures)
3D Mensuration (Solid Figures)
- 3D Geometry IntroductionDrm Video
- Surface Area, Volume and Capacity Are DifferentDrm Video
- 3D Geometry Important QuestionDrm Video
- 3D Geometry Important QuestionDrm Video
- Prism and Pyramid — Rapid RevisionDrm Video
- Cube and Special CuboidDrm Video
- Cut and General cuboid ruleDrm Video
- Painted Cube Questions Follow the Position of Each Small CubeDrm Video
- A Cylinder Is a Prism with a Circular BaseDrm Video
- Radius AffectsDrm Video
- Cone — Height Builds Volume_ Slant Height Builds SurfaceDrm Video
- A Sphere Has One Radius—and Two Core Formulas_1Drm Video
- Composite SolidsDrm Video
- The Largest Solid Inside a Cube Is Fixed by Its SideDrm Video
- Formula RevisionDrm Video
- [Notes] 3D Geometry - Part 1Pdf
Statistics
Introduction & Types of Data
Mean, Median, and Mode for grouped data
Previous-year questions
PYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions3 questionsPYQ collectionPYQ Questions3 questionsPYQ collectionPYQ Questions4 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions5 questionsPYQ collectionPYQ Questions3 questionsPYQ collectionPYQ Questions3 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions4 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions5 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions28 questions
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- सामान्य ज्ञान एवं समसामयिक घटनाएँ / General Knowledge & Current Affairs — 25 प्रश्न
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- बाल मनोविज्ञान / Child Psychology — 8 प्रश्न
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- अतिरिक्त अभ्यास (वैकल्पिक) / Extra Practice — beyond the 2026 syllabus