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Defence

Numerical Ability for AFCAT

The notification sets numerical ability at matriculation level. It covers percentages, ratios, interest, profit and loss, time and work, time and distance, averages, mixtures, mensuration, probability, statistics, heights and distances, and exponents. It improves quickly with timed practice.

10 guides·Conducted by Indian Air ForceOfficial website

Study in this order

  1. 1A numerical ability plan for AFCATAFCAT maths is Class 10 arithmetic plus a few newer areas such as probability, statistics, mensuration and heights and distances, all under time pressure. What the section covers, the order to learn it, a six-week plan, speed methods that work, and solved examples. 8 min read
  2. 2Number system for AFCAT: divisibility, unit digits, remainders and factorsNumber system questions are short, but they test whether you know a handful of rules well enough to use them in seconds. Divisibility and why it works, unit digits, remainders, factors and trailing zeros, with worked examples and a practice set. 8 min read
  3. 3Decimals and fractions for AFCATDecimal fractions is a named topic in the AFCAT syllabus, and fractions sit inside nearly every other maths question. Conversions to memorise, comparing fractions, recurring decimals, decimal operations and fraction word problems, with worked examples and practice. 6 min read
  4. 4Simplification for AFCAT: BODMAS, identities and fast multiplicationSimplification questions are quick marks if you follow the order of operations and spot the identity hidden in the numbers. BODMAS and the "of" rule, algebraic identities, multiplication near 100, laws of indices and approximation, with worked examples and practice. 6 min read
  5. 5Percentage for AFCAT: multipliers, successive change and word problemsPercentage connects most of AFCAT's numerical section: profit, interest, discount, population, elections and exams. Fraction values, multipliers, successive changes, "more than / less than", price and consumption, and worked examples with a practice set. 6 min read
  6. 6Ratio and proportion for AFCATRatios appear in sharing, mixtures, ages, partnership, work and speed. Dividing amounts, combining ratios, proportionals, changing ratios, income and expenditure, and coin questions, with worked examples and a practice set. 7 min read
  7. 7Averages for AFCAT: the total method, replacements and weighted averagesAverage = total ÷ number. Most AFCAT average questions become two-line sums once you work with totals. Consecutive numbers, adding, removing and replacing items, weighted averages, wrong entries and a practice set. 7 min read
  8. 8Profit and loss for AFCAT: cost price, marked price, discounts and false weightsProfit and loss is percentage applied to cost price. The multiplier method, marked price and discount, successive discounts, the same-price trap, false weights and count-based questions, with worked examples and a practice set. 6 min read
  9. 9Simple interest for AFCAT: the formula, reverse questions and shortcutsSI = P × R × T ÷ 100. Finding the principal, rate or time, doubling and tripling questions, amounts after two different periods, sums split at two rates and a rate change, with worked examples and a practice set. 6 min read
  10. 10Compound interest for AFCAT: multipliers, CI–SI difference and half-yearly compoundingInterest on interest, done with multipliers. The amount formula, the CI–SI difference for two and three years, half-yearly compounding, rates that change each year, doubling questions and growth problems, with worked examples and a practice set. 5 min read

New Numerical Ability guides are added regularly. Back to all AFCAT guides