Five Questions worksheet – **Chapter wise – Exercise wise worksheets of 5 questions as per NCERT book**

## Unit 1 – Numbers, Quantification and Numerical Applications

Modulo arithmetic | WS 1 | WS 2 | WS 3 |

Congruence Modulo | WS 1 | WS 2 | WS 3 |

Simple arithmetic functions | WS 1 | WS 2 | WS 3 |

Allegation or mixture | WS 1 | WS 2 | WS 3 |

Numerical problems on boats and streams, partnership, pipes and cistern, races and games, scheduling | WS 1 | WS 2 | WS 3 |

Numerical inequalities | WS 1 | WS 2 | WS 3 |

## Unit 2 – Algebra

Solution of simultaneous linear equations using elimination method up to 3 variables | WS 1 | WS 2 | WS 3 |

Matrices and types of Matrices | WS 1 | WS 2 | WS 3 |

Alzebra of matrices | WS 1 | WS 2 | WS 3 |

Determinants | WS 1 | WS 2 | WS 3 |

Inverse of a matrix | WS 1 | WS 2 | WS 3 |

Cramer’s rule and its application | WS 1 | WS 2 | WS 3 |

Simple applications of matrices and determinants including Leontiff input output model for two variables | WS 1 | WS 2 | WS 3 |

## Unit 3 – Calculus

Application of derivatives | WS 1 | WS 2 | WS 3 |

Increasing/Decreasing functions | WS 1 | WS 2 | WS 3 |

Maxima and Minima | WS 1 | WS 2 | WS 3 |

Marginal cost and marginal revenue using derivatives | WS 1 | WS 2 | WS 3 |

Integration | WS 1 | WS 2 | WS 3 |

Indefinite integral as family of curves | WS 1 | WS 2 | WS 3 |

Definite integral as area under the curve | WS 1 | WS 2 | WS 3 |

Integration of simple algebraic functions (primitive, by substitution, by parts) | WS 1 | WS 2 | WS 3 |

Application of Integration (consumer surplus-producer surplus) | WS 1 | WS 2 | WS 3 |

Differential equation (definition, order, degree) | WS 1 | WS 2 | WS 3 |

Application of differential equation (Growth and Decay Model) | WS 1 | WS 2 | WS 3 |

## Unit 4 – Probability

Probability Distribution | WS 1 | WS 2 | WS 3 |

Mathematical Expectation | WS 1 | WS 2 | WS 3 |

Variance | WS 1 | WS 2 | WS 3 |

Binomial Distribution | WS 1 | WS 2 | WS 3 |

Poisson distribution | WS 1 | WS 2 | WS 3 |

Normal distribution | WS 1 | WS 2 | WS 3 |

Basic applications and inferences | WS 1 | WS 2 | WS 3 |

## Unit 5 – Inferential Statistics

Population and sample | WS 1 | WS 2 | WS 3 |

Parameter, statistic and statistical inferences | WS 1 | WS 2 | WS 3 |

t-Test (one sample t-test and two independent groups t-test) | WS 1 | WS 2 | WS 3 |