# EDUCATION MADE EASY
Understanding MCQ's Zakat, Ushr and Inheritance | Exercise 3.1 | PTB General Mathematics Class 9th |
Mathematics Lessons for Secondary Classes | Punjab Textbook Board |
This is a series of Mathematics Lessons for Matric Class Students. I'll provide my students basic skills of Mathematics, and I'll try my best to make my students understand these basic concepts.
Know "Nisab", both in 'Tola' and gram, on which 'Zakat' is due.
Know the rate of Zakat.
Calculate amount of Zakat in respect of assets owned by a person.
Know the rate of 'Ushr' levied on land-owner/land-holder in respect of produce of the land.
Calculate amount of Ushr in respect of produce of the land.
Solve real-life problems involving Zakat and Ushr.
Know the ratio of shares among legal inheritors of a property.
Calculate amount of share of each legal inheritor of a property.
Know Percentage as a fraction with denominator 100.
Conversion of a percentage into a fraction by expressing it as a fraction with denominator 100.
Conversion of a fraction into a percentage by multiplying it with 100%.
Conversion of a percentage into a decimal and vice versa.
Solving Real Life Problems involving percentage.
Knowing a ratio as a relation, which one quantity bears to another quantity of the same kind with regard to their magnitudes.
Know that, of the two quantities forming a ratio, the first one is called Antecedent and the second is Consequent.
Know that a ratio has no unit.
Know the importance of the order in which the Ratio is expressed.
Find the Ratio when a number is increased or decreased to become another number.
Solving Real Life problems involving Ratios.
Know that an equality of two Ratios (a/b=c/d) constitutes a proportion, that is, a:b::c:d, where a, d are known as Extremes and b, c are called the Means.
Find Proportion (Direct and Inverse).
Solving Real Life problems involving direct and inverse proportion.
Know the concept of Compound Proportion.
Solving Real Life problems involving Compound Proportion.
Algebraic Formulas and their Applications.
# Algebraic Expressions
# Algebraic Formulas
# Surds and their Applications
# Rationalization of Algebraic Expressions
Know that a rational expression behaves like a rational number.
Define a rational expression as the quotient p(x)/q(x) of two polynomials p(x) and q(x) where q(x) is not the zero polynomial.
Examine whether a given algebraic expression is a:
Polynomial or not. Rational expression or not.
Define p(x)/q(x) as a rational expression in its lowest terms if p(x) and q(x) are polynomials with integral coefficients and having no common factor.
Examine whether a given rational algebraic expression is in lowest form or not.
Reduce a given rational expression to its lowest terms.
Find the sum, difference and product of rational expressions.
Divide a rational expression with another and express the result in its lowest terms.
Find the value of algebraic expression at some particular real number.
Know the basic three formulas that you have taught in 9th class.
Learn the next formulas about squares of algebraic expressions.
Learn the next four formulas about cubes of the algebraic expressions.
Recognize the Surds and their applications.
Explain the surds of second order. Use basic operations on surds of second order to rationalize the denominators and evaluate it.
Explain rationalization (with precise meaning) of real numbers and their combinations where x and y are Natural Numbers and a, b are Integers.
