Course module
GS Paper | 05 | Elementary Maths — UP LT Grade Assistant Teacher 2025 Computer Science Course
- Lessons
- 293
- Duration
- 78 hr 55 min
- PYQs
- 504
- Practice
- 34
18% of this course's PYQ weight is covered in this module.
Syllabus index
Lessons in this module
Number System
Factors, Multiples & Prime Factorization
Concept of Remainders
Unit Digit & Last Digit Concepts
Perfect Squares, Perfect Cubes, Power, Square Root and Patterns
Multiple Topics
Divisibility Rules
Divisibility Rules for all Numbers
- Divisibility Rules of 8, 9, 10 and 11Drm Video
- Divisibility Rules of 11, 12 and 13Drm Video
- Amazing Short Trick for Divisibility of 7 and 13Drm Video
- All Divisibility Rules of 13 in a single videoDrm Video
- Divisibility Rules of 14 and 15Drm Video
- Divisibility Rules of 16Drm Video
- Divisibility Rules of 17 and 18Drm Video
- Divisibility Rules of 19Drm Video
- Divisibility Rules of 20, 21, 22 and 23Drm Video
- Divisibility Rules of 24, 25 and 26Drm Video
- Divisibility Rules of 27Drm Video
- Divisibility Rules of 28, 29, 30 and 31Drm Video
- Divisibility Rules of 37, 41 and 43Drm Video
- Short Trick to remember divisibility rules from 11 to 50Drm Video
- Divisibility Rules of Important Numbers From 31 to 1000Drm Video
Mathematics Problems on Divisibility
Properties of Divisibility
Division and Remainder-Based Problems
Multiple Topics
HCF LCM
Finding HCF
- Short Trick to find HCF by using smallest elementDrm Video
- An Important Property of HCF & LCM + Practice QuestionDrm Video
- How to find HCF Quickly with the help of given optionsDrm Video
- Short Trick to find HCF of Big NumbersDrm Video
- Short Trick to find HCF of more than 2 numbersDrm Video
- Short Trick to find HCF using Co-Prime Numbers ConceptDrm Video
HCF and LCM of Fractions and Decimals
Basic Concepts: Factors, Multiples, Prime & Composite Numbers
Finding LCM
- What is a multiple What is LCM Find LCM by inspectionDrm Video
- Short Trick to Find LCM in just 5 secondsDrm Video
- Short Trick to find LCM using Division methodDrm Video
- Short Trick to find LCM using Prime FactorizationDrm Video
- Short Trick to find LCM using Co-Prime Numbers ConceptDrm Video
- Short Trick to find LCM of more than 2 numbersDrm Video
- Short Trick to find LCM of big numbersDrm Video
- Short Trick to find LCM of 2 numbers when HCF is givenDrm Video
Multiple Topics
Percentage
Basic Concepts, Terminologies & Properties
Conversion Between Fractions (Ratio) & Percentages
- Important Property, Trick to find 10 & 1 percent of any numberDrm Video
- Short Tricks to Remember Ratio to Percentage Table Part 1Drm Video
- Short Tricks to Remember Ratio to Percentage Table Part 2Drm Video
- Short Tricks to Remember Ratio to Percentage Table Part 3Drm Video
- Short Tricks to Remember Ratio to Percentage Table Part 4Drm Video
- Practice Problems on Ratio to Percentage ConversionDrm Video
- Practice Problems on Percentage to Ratio ConversionDrm Video
- Question on Ratio to Percentage ConversionDrm Video
Finding Percentage
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)
Multiple Topics
Simple Interest and Compound Interest
Simple Interest - Basic Concepts, Formulas and Terminologies
Simple Interest – Applications
- Tricks & Questions on money becoming multiple times on SIDrm Video
- Questions on Extra Amount Received on Extra Interest RateDrm Video
- Short Trick for Questions on Variable Rate of InterestDrm Video
- Short Trick for Questions on Difference in SIDrm Video
- Short Trick for Questions on Difference in AmountDrm Video
- Questions on Principal Money Divided into PartsDrm Video
- Simple Interest Important Practice Questions (Set 2)Drm Video
Installments and Debt-Related Problems
Compound Interest – Core Concepts
- Compound Interest An IntroductionDrm Video
- Compound Interest Formula & Comparison with SIDrm Video
- Short Trick to Find Compound Interest in just 10 SecondsDrm Video
- Compound Interest Basics + Problem Solving (1)Drm Video
- Compound Interest Basics + Problem Solving (2)Drm Video
- Compound Interest Basics + Problem Solving (3)Drm Video
Mixed SI CI and Special Cases
Ratio and Proportion (Ratios)
Types of Ratio
Direct, Inverse & Joint Variation
Basic Concepts & Properties of Proportion
Division of Quantity in a Given Ratio
Successive & Combined Ratio Problems
Multiple Topics
Average
Basic Concepts and Formulas
Average of Consecutive / Odd / Even / Natural Numbers
Average of Arithmetic Series, Squares, and Cubes
Change in Average (When Members Join, Leave, or Replace)
Effect on Average by Arithmetic Operations
Weighted Average, Combined / Mixture Average Problems
Practical and Contextual Word Problems
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
Speed Time and Distance
Basics, Prerequisites and Unit Conversions
Proportionality and Constant Variable Concepts
Average Speed
- Concept & Short Tricks to calculate AVERAGE SPEED (1)Drm Video
- Concept & Short Tricks to calculate AVERAGE SPEED (2)Drm Video
- Concept & Short Tricks to calculate AVERAGE SPEED (3)Drm Video
- Average - Short Tricks to Find Average SpeedDrm Video
- Important Practice Questions on AVERAGE SPEED (1)Drm Video
- Important Practice Questions on AVERAGE SPEED (2)Drm Video
- Important Practice Questions on AVERAGE SPEED (3)Drm Video
Algebra
Basic Concepts & Fundamental Operations
Laws & Identities of Algebra
Factorization & Simplification
Linear Equations
Quadratic Equations
Polynomials & Algebraic Expressions
Simplification Based Problems
Multiple Topics
Mensuration and Geometry
2D Mensuration (Plane Figures)
Data Interpretation
Basic Concepts & Terminologies
Bar Graph
Pie Chart (Pie Graph)
Arithmetic
Basic Arithmetic
Statistics
Introduction & Types of Data
Mean, Median, and Mode for grouped data
Probability
Basic Concepts and Terminology
Classical Problems (Cards, Dice, Coins, Digits, Number, Objects)
Probability Using Venn Diagrams & Set Theory
Sequence and Series (Series)
Arithmetic Progression (AP)
Arithmetic Mean & Geometric Mean (AM-GM)
Mixture and Alligation
Alligation Rule (Core Concept + Two-Ingredient Mixture)
Three-Ingredient Mixtures and Mixture of Mixtures
Profit–Loss Based Alligation (Cost Price, Selling at CP, Fake Profit)
- Solving PROFIT & LOSS Questions Using Alligation RuleDrm Video
- Water mixed to a mixture & sold at CP to make profit (1)Drm Video
- Water mixed to a mixture & sold at CP to make profit (2)Drm Video
- Water mixed to a mixture & sold at CP to make profit (3)Drm Video
- Selling item in 2 parts with given profit% or loss% (1)Drm Video
- Selling item in 2 parts with given profit% or loss% (2)Drm Video
- Selling item in 2 parts with given profit% or loss% (3)Drm Video
Concentration / Purity Adjustment Problems
Application-Based Problems (Population, Students, Males/Females, Distribution)
Challenging and Mixed Questions
Investment and Interest Rate Based Alligation (Simple Interest, Compound Interest)
Calculus
Limits
- Introduction to LimitsDrm Video
- Important Properties of LimitsDrm Video
- Indeterminate FormsDrm Video
- Non-Indeterminate FormsDrm Video
- Solving Limits : Substitution MethodDrm Video
- Solving Limits: Tabular & Approximation MethodDrm Video
- Solving Limits: Factorization MethodDrm Video
- Solving Limits: Expansion MethodDrm Video
- Solving Limits: L Hopital's RuleDrm Video
- Questions on L Hopital's Rule (Part 1)Drm Video
- Questions on L Hopital's Rule (Part 2)Drm Video
- Proof of L Hopital's RuleDrm Video
- Some Notable Special LimitsDrm Video
Continuity
Differentiability and Differentiation
- Differentiation Rules & FormulasDrm Video
- DIFFERENTIABILITY - Mathematical DefinitionDrm Video
- Differentiability - Geometric DefinitionDrm Video
- How to Geometrically identify Non-Differentiability?Drm Video
- Rolle’s TheoremDrm Video
- Lagrange's Mean Value TheoremDrm Video
- Applications of Mean Value TheoremDrm Video
- Cauchy’s Extended Mean Value TheoremDrm Video
Maxima and Minima
- Stationary Point & Critical PointDrm Video
- Maxima & MinimaDrm Video
- Monotonic FunctionsDrm Video
- How to Mathematically find Maxima & Minima?Drm Video
- Finding Maxima & Minima (Practice Questions Set 1)Drm Video
- Finding Maxima & Minima (Practice Questions Set 2)Drm Video
- Finding Maxima & Minima (Practice Questions Set 3)Drm Video
- Finding Maxima & Minima (Practice Questions Set 4)Drm Video
- Finding Maxima & Minima (Practice Questions Set 5)Drm Video
- Finding Maxima & Minima (Practice Questions Set 6)Drm Video
Integration
- Integration & Indefinite IntegralsDrm Video
- Definite IntegralsDrm Video
- Properties of Definite IntegralsDrm Video
- All Formulas of IntegrationDrm Video
- Solving Integration: Substitution MethodDrm Video
- Solving Integration: Partial Fractions MethodDrm Video
- Complications in Partial Fractions MethodDrm Video
- Solving Integration: Integration by Parts MethodDrm Video
Trigonometry
Basics of Trigonometry (Foundation)
Trigonometric Functions and Angles
Compound Angle and Transformation Formula
Trigonometric Identities and Simplification
Properties of Triangle
- Properties of Triangle - Sine and Cosine RuleDrm Video
- Properties of Triangle - Projection FormulaDrm Video
- Properties of Triangle - Area of TrianglesDrm Video
- Properties of Triangle - Half Angle FormulaDrm Video
- Properties of Triangle - CircumRadius, InRadius, ExRadiiDrm Video
- Properties of Triangle - Napier's AnalogyDrm Video
Heights and Distances
Inverse Trigonometric Functions (ITF)
Trigonometric Equations
Vectors
Vector Basics (Foundation)
Division of Line and Direction Quantities
Dot Product and Its Applications
Projection of Vectors
Cross Product and Its Applications
Module lessons
Previous-year questions
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- About Course
- CS | 01 | Digital Logic and Circuits and Discrete Mathematical Structures
- CS | 02 | Computer Organization and Architecture
- CS | 03 | Data Structures and Algorithm
- CS | 04 | Problem Solving through C Programming
- CS | 05 | Object Oriented Techniques
- CS | 06 | Operating System
- CS | 07 | Database Management Systems
- CS | 08 | Computer Networks
- CS | 09 | Software Engineering
- CS | 10 | Internet Technology, Web Design and Web Technology
- CS | 11 | System Analysis And Design
- CS | 12 | Information Security and Cyber Laws
- CS | 13 | Computer Graphics
- GS Paper | 01 | Indian and World Geography
- GS Paper | 02 | History
- GS Paper | 03 | Indian Economy & Social Development
- GS Paper | 04 | General Science
- GS Paper | 06 | Indian Polity and Governance
- GS Paper | 07 | Current Events
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