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Primary Arithmetic · Class 4–8 & Competitive Exams

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PRIMARY ARITHMETIC · 21 CHAPTERS

Primary Arithmetic — Complete Masterclass

The complete 21-chapter Primary Arithmetic and Competitive Maths curriculum for Sainik School (AISSEE), Navodaya (JNVST), Olympiads, and Govt Entrance Exams.

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🧾 What this book covers

21 comprehensive chapters mapped directly to Sainik School, JNVST, Olympiads & Govt entrance exams.

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Foundational Arithmetic

Number system, HCF & LCM, fractions, decimals, square/cube roots.

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Applied Commercial Maths

Percentage, profit-loss, simple & compound interest, ratio & average.

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Speed, Work & Geometry

Time & work, speed distance time, mensuration, geometry and graphs.

📑 Contents — all 21 chapters

Every chapter carries theory, Vedic speed tricks, games, and chapter mock tests.

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CHAPTER 1 READY

Number System & Primary Arithmetic

Place/face values, number classification, divisibility rules (2-19), unit digits and Vedic speed hacks.

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CHAPTER 2 READY

HCF and LCM Masterclass

Prime factorisation, long division, difference method, fraction HCF/LCM and traffic bell problems.

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CHAPTER 3 READY

Fractions & Operations

Proper, improper & mixed fractions, comparison tricks, ascending/descending order and word problems.

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CHAPTER 4 READY

Decimal Fractions & Recurring Decimals

Decimal operations, recurring decimals conversion, and rounding techniques.

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CHAPTER 5 READY

Indices, Exponents & Surds

Laws of indices, negative powers, rationalising surds and standard form.

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CHAPTER 6 READY

Unitary Method & Direct-Inverse

Direct variation, inverse variation, chain rule and work-days calculation.

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CHAPTER 7 READY

Ratio, Proportion & Variations

Compounded ratios, mean/third/fourth proportional, mixture and age problems.

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CHAPTER 8 READY

Average & Weighted Means

Weighted averages, inclusion/exclusion rules, batting & speed averages.

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CHAPTER 9 READY

Square Root & Cube Root

Perfect squares/cubes, estimation method, prime factorisation and root patterns.

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CHAPTER 10 READY

Percentage & Applications

Fraction-percentage conversions, population change, price-consumption shifts.

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CHAPTER 11 READY

Profit, Loss & Discount

CP, SP, MP, gain/loss percentage, successive discounts and dishonest dealer tricks.

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CHAPTER 12 READY

Simple Interest

Principle, rate, time, amount calculations, double/triple time formulas.

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CHAPTER 13 READY

Compound Interest & Growth

Compounding periods, CI-SI difference formulas and depreciation.

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CHAPTER 14 READY

Speed, Distance & Time

Average speed, train crossing problems, boats and streams.

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CHAPTER 15 READY

Time, Work & Pipes

Efficiency-time relation, alternate working days, pipes and cisterns.

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CHAPTER 16 READY

Measurement System & Units

Metric system conversions (length, mass, capacity), time and temperature.

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CHAPTER 17 READY

Perimeter & Area

Triangles, quadrilaterals, circles, pathways and shaded area calculations.

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CHAPTER 18 READY

Volume & Surface Area

Cubes, cuboids, cylinders, cones, spheres, melting & recasting.

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CHAPTER 19 READY

Number Series & Pattern Logic

Arithmetic & geometric series, difference patterns, missing & wrong terms.

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CHAPTER 20 READY

Geometry: Lines, Angles & Polygons

Types of angles, parallel lines, triangle properties, polygon interior angles.

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CHAPTER 21 READY

Graphs & Data Interpretation

Bar graphs, line graphs, pie charts, histograms and data extraction.

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🚀 How to master Primary Arithmetic

✏️ Practice with rough paper

Write down every step to avoid silly calculation errors.

⚡ Use Vedic speed tricks

Apply unit digit and digital root methods to solve MCQs in 15 seconds.

🔁 Redo mock tests

Re-attempt chapter quizzes until you reach 3 stars.

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