Competitive Mathematics English Medium

Chapter 1 Pass English Medium Competitive Mathematics · Number System & Simplification Number System Number system from the very beginning: place value, types of numbers, divisibility rules, units digit, primes and factors, sum formulas and remainders — with solved examples and 100+ practice questions. Open map Chapter 2 Pass English Medium Competitive Mathematics · Number System & Simplification Number Series Every pattern in number series — addition, multiplication, squares, cubes, primes, woven and mixed series — and the tricks for finding a missing or wrong term, with solved examples and 100+ practice questions. Open map Chapter 3 Pass English Medium Competitive Mathematics · Number System & Simplification HCF and LCM Factors and multiples, every method for HCF and LCM, their relationship, HCF and LCM of fractions, and the remainder, bells, tiles and ropes questions — with solved examples and 100+ practice questions. Open map Chapter 4 Pass English Medium Competitive Mathematics · Number System & Simplification Simple and Decimal Fractions Types of simple and decimal fractions, recurring decimals, the four operations, comparing fractions and word problems — with solved examples and 100+ practice questions. Open map Chapter 5 Pass English Medium Competitive Mathematics · Number System & Simplification Square, Square Root, Cube and Cube Root Fast ways to square, square roots by prime factors and by the division method, roots of decimals and fractions, cubes and cube roots — with solved examples and 100+ practice questions. Open map Chapter 6 Pass English Medium Competitive Mathematics · Number System & Simplification Indices and Surds The laws of indices, negative and fractional powers, exponent equations, surds and their types, simplifying, comparing and rationalising — with solved examples and 100+ practice questions. Open map Chapter 7 Pass English Medium Competitive Mathematics · Number System & Simplification Simplification The VBODMAS rule, opening brackets, “of”, absolute value, algebraic identities, quick multiplication and fill-in-the-blank problems — with solved examples and 100+ practice questions. Open map Chapter 8 Pass English Medium Competitive Mathematics · Number System & Simplification Approximation Finding the nearby value of big, decimal-heavy calculations without doing them fully — rounding, rules for multiplying and dividing, percent shortcuts, the fraction-percent table and estimating powers and roots, with 100+ practice questions. Open map Chapter 9 Pass English Medium Competitive Mathematics · Number System & Simplification Word Problems Based on Numbers Turning words into equations: operations on numbers, consecutive numbers, two-digit numbers, heads and legs, marks and notes — with solved examples and 100+ practice questions. Open map Chapter 10 Pass English Medium Competitive Mathematics · Arithmetic Average What an average means, its properties, averages of series, weighted averages, changes in an average, average age and average speed — with solved examples and 100+ practice questions. Open map Chapter 11 English Medium Competitive Mathematics · Arithmetic Percentage Percentage from the very beginning: fractions, decimals and percent, increase and decrease, successive changes, population, elections, mixtures and hard questions — with solved examples and questions to try yourself. Open map Chapter 12 Pass English Medium Competitive Mathematics · Arithmetic Profit and Loss Cost price, selling price, profit and loss per cent, two-article deals, dishonest dealers, mixtures and chains of sales — with solved examples and 100+ practice questions. Open map Chapter 13 Pass English Medium Competitive Mathematics · Arithmetic Discount Marked price and discount, successive discounts and their single equivalent, profit and loss with discounts, “buy one get one free” and comparing offers — with solved examples and 100+ practice questions. Open map Chapter 14 Pass English Medium Competitive Mathematics · Arithmetic Simple Interest Principal, rate, time and amount; the simple-interest formula, days and months as time, a sum becoming $n$ times, payment by instalments and the gain from borrowing and lending — with solved examples and 100+ practice questions. Open map Chapter 15 Pass English Medium Competitive Mathematics · Arithmetic Compound Interest The idea of compound interest, the amount formula, half-yearly and quarterly compounding, different rates, the CI–SI difference, instalments and population growth and decay — with solved examples and 100+ practice questions. Open map Chapter 16 Pass English Medium Competitive Mathematics · Arithmetic True Discount and Banker’s Discount Present worth, sum due, true discount, banker’s discount and banker’s gain — formulas, relations and solved examples with 100+ practice questions. Open map Chapter 17 Pass English Medium Competitive Mathematics · Arithmetic Ratio and Proportion Kinds of ratio, comparing ratios, sharing a sum, three-term ratios, proportion, third, fourth and mean proportionals and the practical ratio questions — with solved examples and 100+ practice questions. Open map Chapter 18 Pass English Medium Competitive Mathematics · Arithmetic Mixture and Alligation Mean price, the alligation (cross-subtraction) method, finding quantities, alligation on per cents and profits, repeated draw-and-refill, changing ratios and mixing two vessels — with solved examples and 100+ practice questions. Open map Chapter 19 Pass English Medium Competitive Mathematics · Arithmetic Partnership Simple and compound partnership, the capital × time principle, joining or leaving later, working and sleeping partners, sharing rent — with solved examples and 100+ practice questions. Open map Chapter 20 Pass English Medium Competitive Mathematics · Arithmetic Unitary Method Going through the value of one unit — direct and inverse proportion, the men–days–hours chain rule, wages, rations and speed questions — with solved examples and 100+ practice questions. Open map Chapter 21 Pass English Medium Competitive Mathematics · Arithmetic Problems Based on Ages The constant age difference, “years ago / hence” ratios, multiple-type questions, average ages and timeline puzzles — with solved examples and 100+ practice questions. Open map Chapter 22 Pass English Medium Competitive Mathematics · Time, Work & Distance Work and Time One-day work, working together, efficiency ratios, leaving and joining, alternate days, man-days and the LCM method — with solved examples and 100+ practice questions. Open map Chapter 23 Pass English Medium Competitive Mathematics · Time, Work & Distance Work and Wages Wages shared in proportion to work, shares of two or three workers, helpers and leftover work, daily wages, fine-and-pay questions and comparing groups — with solved examples and 100+ practice questions. Open map Chapter 24 Pass English Medium Competitive Mathematics · Time, Work & Distance Pipes and Cisterns Inlet and outlet pipes, leaks, the net rate of several pipes, closing midway, opening in turns and finding capacity — with solved examples and 100+ practice questions. Open map