Class 12 · Applied Mathematics · Revision Checklist

Class 12 Applied Mathematics
Revision Checklist

30 topics across 6 chapters. Tick off each topic as you revise — your progress is saved automatically in your browser.

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How to use: Tick a topic once you can solve questions on it without notes. Aim for 80%+ before your exam.

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Numbers, Matrices and Quantitative Aptitude

0/5

I know modulo arithmetic: a mod m, and can find remainder using it

I can solve problems using allegation and mixture method

I can perform matrix operations: addition, multiplication, transpose

I can find the inverse of a 2×2 matrix

I can apply matrices to solve a system of linear equations

Calculus — Business Applications

0/5

I can find higher-order derivatives of polynomial and exponential functions

I can interpret marginal cost and marginal revenue using derivatives

I can find maxima and minima in business/economics context problems

I can apply integration to find total cost from marginal cost

I can find the area between two curves using definite integrals

Index Numbers and Time Series

0/5

I can calculate Laspeyre's Price Index, Paasche's Price Index, and Fisher's Ideal Index

I know Fisher's Ideal Index is the geometric mean of Laspeyre and Paasche

I can calculate Consumer Price Index (CPI) using weighted aggregates

I can identify the components of a time series: trend, seasonal, cyclical, irregular

I can calculate 3-year and 5-year moving averages for trend analysis

Financial Mathematics

0/5

I can calculate Simple Interest and Compound Interest (annual and half-yearly)

I can find the EMI using the formula and interpret the loan amortisation table

I can calculate Present Value and Future Value of an annuity

I can calculate depreciation using Straight Line and Written Down Value methods

I can solve problems on Sinking Fund — amount needed to replace an asset

Probability Distributions and Statistics

0/6

I can construct a probability distribution table and find mean and variance

I can identify when to use Binomial Distribution: fixed n, binary outcome, constant p

I can calculate P(X = r) for Binomial Distribution using ⁿCᵣ pʳ qⁿ⁻ʳ

I can calculate mean (= np) and variance (= npq) of binomial distribution

I know Poisson Distribution is a limiting case of Binomial when n→∞, p→0, np=λ

I can interpret t-test and chi-square test results conceptually

Linear Programming

0/4

I can formulate a linear programming problem from a word problem context

I can identify the feasible region by plotting all constraint lines

I can find corner points and evaluate the objective function at each

I can determine whether the LPP has a maximum or minimum solution

More resources for Class 12 Applied Mathematics

Last Minute Revision →Previous Year Papers →Sample Papers →Preparation Guide →

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Class 12 Applied MathematicsRevision Checklist

Class 12 Applied Mathematics — Revision Checklist