Fast Track Mathematics Book

Useful to all competitive exams

Chapters :-

Contents

1. Number System

Numerals • Face Value and Place Value of the Digits in a Number • Types of

Numbers • Operations on Numbers • Divisibility Tests Unit's Place of an Expression

• Basic Number Theory

2. Number Series

Types of Series • Types of Questions Asked on Number Series

3. HCF and LCM

Factors and Multiples • Least Common Multiple (LCM)« Highest Common Factor

(HCF) • Method to Calculate LCM and HCF of Fractions • Fast Track Techniques

to Solve the Questions • Method to Solve Questions Based on Bells

4. Simple and Decimal Fractions

Simple Fraction • Decimal Fraction • Operations on Simple Fractions • Operations on

Decimal Fractions • Comparison of Simple Fractions • Fast Track Formulae to Solve die

Questions

5. Square Root and Cube Root

Square • Square Root • Properties of Squares and Square Roots • Fast Track Formulae

to Solve the Questions • Fast Track Techniques to Solve the Questions •

Cube • Cube Root • Properties of Cube and Cube Roots

6. Indices and Surds

Indices • Surds • Properties of surds • Operations on Surds • Fast Track Techniques

to Solve the Questions

7. Simplification

VBODMAS Rule • Basic Formulae

8. Approximation

Basic Rules to Solve the Problems by Approximation

9. Word Problems Based on Numbers

Types of Word Problems Based on Numbers

10. Average

Average • Properties of Average • Important Formulae Related to Average of Numbers •

Fast Track Techniques to Solve the Questions • Average Speed

11. Percentage

Percentage • Formulae to Calculate Percentage • Fast Track Techniques to Solve the

Questions

12. Profit and Loss

Basic Formulae Related to Profit and Loss • Fast Track Techniques to Solve die Questions

13. Discount

Marked Price • Basic Formulae Related to Discount • Successive Discount • Fast Track

Techniques to Solve die Questions

14. Simple Interest

Simple Interest (SI) • Instalments • Fast Track Techniques to Solve die Questions

15. Compound Interest

Basic Formulae Related Compound Interest • Instalments • Fast Track Techniques to

Solve die Questions

16. True Discount and Banker's Discount

True Discount • Fast Track Formulae to Solve die Questions • Banker's Discount

17. Ratio and Proportion

Ratio • Comparison of Ratios • Proportion • Fast Track Techniques to Solve die Questions

18. Mixture or Alligation

Mixture • Rule of Mixture or Alligation • Fast Track Techniques to Solve die Questions

19. Partnership

Types of Partnership • Types of Partners • Fast Track Techniques to Solve the Questions

20. Unitary Method

Direct Proportion • Indirect Proportion

21. Problem Based on Ages

Important Rules for Problem Based on Ages • Fast Track Techniques to Solve the Questions

22. Work and Time

Basic Rules Related to Work and Time • Fast Track Techniques to Solve the Questions

23. Work and Wages

Important Points • Fast Track Formulae to Solve die Questions

24. Pipes and Cisterns

Important Points • Fast Track Techniques to Solve the Questions

25. Speed, Time and Distance

Basic Formulae Related to Speed, Time and Distance • Fast Track Techniques to Solve

the Questions

26. Problems Based on Trains

27. Boats and Streams

28. Races and Games of Skill

29. Clock and Calendar

30. Linear Equations

31. Quadratic Equations

32. Permutations and Combinations

33. Probability

34. Area and Perimeter

35. Volume and Surface Area

36. Geometry

37. Coordinate Geometry

38. Trigonometry

39. Height and Distance

40. Data Table

41. Pie Chart

42. Bar Chart

43. Line Graph

44. Mixed Graph

45. Data Sufficiency

46.Fast Track Practice Sets

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