Meaning of Ratio The relation between two quantities (both of the same units) obtained by dividing one quantity with another is called ratio. Ratio can be denoted by using the symbol ( : ). EXAMPLE 1 What is the ratio between the weight two bags of sugar of 4kg and 6kg respectively? Solution Ratio of […]
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QUADRATIC EQUATION & SYMMETRIC PROPERTIES OF THE ROOT OF QUATION EQUATION See also Completing the square Matrices and Determinants SURDS SOLVING PROBLEMS BASED ON LAWS OF LOGARITHM LOGARITHM OF NUMBERS LESS THAN ONE
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ALGEBRAIC EXPRESSION Definition with examples Expansion of algebraic expression Factorization of simple algebraic expressions Definition with examples In algebra, letters stand for numbers. The numbers can be whole or fractional, positive or negative. Example Simplify the following -5 x 2y -3a x -6b -14a/7 -1/3 of 36×2 Solution 1) -5 x 2y =
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MODULAR ARITHMETIC See also RULES OF BASE NUMBER NUMBER BASES BASIC OPERATIONS OF INTEGER SIMULTANEOUS EQUATIONS SIMULTANEOUS EQUATIONS
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Quadratic Equation by Factorization Method See also Factorization of Quadratic Expressions QUADRATIC EQUATION & SYMMETRIC PROPERTIES OF THE ROOT Completing the square Matrices and Determinants SURDS
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BASIC OPERATIONS OF INTEGER See also SIMULTANEOUS EQUATIONS SIMULTANEOUS EQUATIONS SIMULTANEOUS EQUATIONS QUADRATIC EQUATIONS GEOMETRIC PROGRESSION
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LOGARITHMS OF WHOLE NUMBERS See also INDICES STANDARD FORM AND APPROXIMATION MODULAR ARITHMETIC RULES OF BASE NUMBER NUMBER BASES
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See also PERIMETER OF REGULAR PLANE SHAPES Geometry – Plane Shapes SIMPLE EQUATIONS SIMPLE ALGEBRAIC EQUATION ALGEBRAIC EXPRESSION
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SIMPLE EQUATIONS An algebraic equation is two algebraic expressions separated by an equal sign. The left hand side is equal to the right hand side (LHS = RHS) e.g 7 + 3 = 10, 20 -6 = 14, 4 x 5 = 20, 35/7 = 5 Translation of algebraic equations into words: Any letter of
GEOMETRIC PROGRESSION CONTENT Definition of Geometric Progression Denotations of Geometric progression The nth term of a G. P. The sum of Geometric series Sum of G. P. to infinity Geometric mean Definition of G. P The sequence 5, 10, 20, 40 has a first term of 5 and the common ratio Between the term is
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Sum & Product of Roots of a Quadratic Equation See also Quadratic Formula Completing the square method Quadratic Equation by Factorization Method Factorization of Quadratic Expressions QUADRATIC EQUATION & SYMMETRIC PROPERTIES OF THE ROOT
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Symmetric Properties of Roots See also Sum & Product of Roots of a Quadratic Equation Quadratic Formula Completing the square method Quadratic Equation by Factorization Method Factorization of Quadratic Expressions
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APPROXIMATION OF NUMBERS ROUNDING OFF TO DECIMAL PLACES Digits 1,2,34 are rounded down to Zero, while digits 5, 6, 7, 8, and 9 are rounded up to 1 e.g. 126=130 to 2 digits A significant figure begins from the first non-zero digit at the left of a number. Digit should be written with their correct
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Completing the square method See also Quadratic Equation by Factorization Method Factorization of Quadratic Expressions QUADRATIC EQUATION & SYMMETRIC PROPERTIES OF THE ROOT Completing the square Matrices and Determinants
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WHOLE NUMBERS See also ALGERAIC FRACTIONS ALGEBRAIC EXPRESSION MULTIPLICATION AND DIVISION OF DIRECTED NUMBERS APPROXIMATION AND ESTIMATION ARITHMETIC
SIMULTANEOUS EQUATIONS CONTENT Solving Simultaneous Equations Involving One linear and One quadratic. Solving Simultaneous Equations Using Graphical Method SIMULTANEOUS EQUATIONS INVOLVING ONE LINEAR AND ONE QUADRATIC One of the equations is in linear form while the other is in quadratic form. Note: One linear, one quadratic is only possible analytically using substitution method. Examples:
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Highest Common Factors Highest common factor is the greatest number which will divide exactly into two or more numbers. For example 4 is the highest common factor (HCF) of 20 & 24. i.e. 20 = 1, 2, (4), 5, 10, 20 24= 1, 2, 3, (4), 6, 8, 12, 24 Example 1: Find the
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FRACTIONS (CONVERTION FROM PERCENTAGE TO DECIMAL AND DECIMAL TO FRACTION) See also FRACTIONS WHOLE NUMBERS ALGERAIC FRACTIONS ALGEBRAIC EXPRESSION MULTIPLICATION AND DIVISION OF DIRECTED NUMBERS
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See also BASIC CONCEPT & APPLICATION OF LAWS OF INDICES PERIMETER OF REGULAR PLANE SHAPES Geometry – Plane Shapes SIMPLE EQUATIONS SIMPLE ALGEBRAIC EQUATION
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