
Vedic Mathematics - Multiplication with a Series of 9’s
1. Multiplying a Number with an Equal Number of 9’s
2. Multiplying a Number by a Number with More 9’s
3. Multiplying a number by a number containing fewer 9’s
Explore time and work concepts, linking duration and efficiency, and learn to compute combined work rates using lcm and fractions through A, B, and C example problems.
Solve partial work problems by calculating combined efficiencies, days of joint work, and remaining work to determine total time or solo completion for two workers A and B.
Apply the chain rule to time and work problems with changing crews. Solve scenarios of soldiers and food provisions to predict days remaining with more or fewer workers.
Learn to solve tank filling problems by computing individual and combined pipe efficiencies, determining full and partial fill times, and handling staged shutoffs using unit-based calculations.
Learn how to solve alternate-minute work problems with multiple workers, using lcm and combined efficiency to find total work and fill times for a tank.
Compute average speed for equal distances using the formula 2xy/(x+y), where x and y are speeds. Apply it by total time d/x + d/y and total distance 2d.
Learn train crossing with a length object. Compute distance as the sum of lengths, apply relative speed (difference for same direction, sum for opposite), and convert speeds to find time.
Learn to compute boat speed in still water from downstream and upstream speeds, estimate current speed, and solve downstream and upstream distance–time problems.
This course develops the essential numerical and analytical skills needed for competitive exams, campus placements, and professional assessments. It covers a wide range of topics such as arithmetic, algebra, data interpretation, number systems, percentages, ratios, time and work, speed and distance, and probability.
Through structured lessons, practice exercises, and test-style questions, students learn to solve problems quickly and accurately. The course focuses on building strong fundamentals, improving calculation speed, and developing logical reasoning alongside quantitative skills.
By the end of the course, students will be able to approach quantitative problems with confidence, apply shortcut methods where appropriate, and manage time effectively during exams.
Key Features:
Comprehensive coverage of core quantitative topics
Step-by-step explanations with practical examples
Tips and shortcuts to improve speed and accuracy
Regular quizzes and mock tests for self-assessment
Suitable for competitive exams, placements, and aptitude tests
1. Vedic Mathematics (Speed Maths Techniques)
Fast multiplication (by 9’s, by 11, base method)
Squaring shortcuts
Rapid division and finding remainders
Cross-checking answers with digital roots
1. Number System
Properties of numbers (even, odd, prime, composite)
Divisibility rules
Factors and multiples
LCM and HCF
Remainders, unit digit, last digit
Cyclicity and digital sum
3. Simplification & Approximation
BODMAS operations
Square roots and cube roots
Simplifying fractions and decimals
Approximating quickly for large numbers
4. Ratio, Proportion & Partnership
Direct and inverse proportion
Mixing problems
Partnership and profit sharing
5. Percentages
Basic percentage calculations
Increase/decrease
Comparing quantities using percentages
6. Profit, Loss & Discount
Marked price, cost price, selling price
Successive discounts and gains
False weights problems
7. Simple Interest & Compound Interest
Interest over different time periods
Difference between CI and SI
Annual, half-yearly, and quarterly compounding
8. Time, Speed & Distance
Relative speed
Trains, boats, and streams
Average speed problems
9. Time & Work
Work efficiency and ratios
Pipes and cisterns
Wages and sharing of work
10. Average
Weighted averages
Successive averages
11. Mixture & Alligation
Mixing liquids or solids
Profit & loss in mixtures
12. Algebra
Linear equations
Quadratic equations
Simplifying expressions
13. Geometry & Mensuration
Lines, angles, and triangles
Circles and polygons
Areas, volumes, and surface areas
14. Permutations, Combinations & Probability
Counting principles
Arrangements and selections
Basic probability problems
15. Data Interpretation
Tables, bar graphs, line graphs
Pie charts
Data comparison and analysis
16. Data Sufficiency
Deciding if given data is enough to answer a question
17. Sequences & Series
Arithmetic progression (AP)
Geometric progression (GP)
Special number patterns
18. Statistics
Mean, median, mode
Standard deviation (basic level)
19. Clocks & Calendars
Finding angles between hands of a clock
Time gained or lost by a clock
Odd days and day-of-week problems
20. Miscellaneous / Higher Level
Inequalities
Logarithms
Surds and indices
Simplified equations involving multiple concepts