mid year review sec 2 math
Secondary 2E1 Mid-Year Exam Review
1. Proportion
Map and Scale
Scale = Map length : Actual Length = 1 : r or
If the scale on the map is given by 1: r, then the ratio of area measured on the map to the actual area is 1: r2
Direct and inverse proportion
Direct Proportion
Inverse Proportion
If y is directly proportional to x, then or where is a constant and . k is known as the constant of proportionality. or where (,) and (,) are two pairs of values of and
If y is inversely proportional to x, then or where is a constant and . k is known as the constant of proportionality
where (,) and (,) are two pairs of values of and
2. Expansion and Factorisation of Algebraic Expression
Expansion
Expansion of algebraic expressions requires the use of removal of brackets. (ie: Rainbow method)
Ensure that you have written down the correct sign for the terms
Factorisation
Factorisation is the reverse process of expansion. *To check if your factorisation is correct, expand your answer to see if it matches the question given. – (Method to check your answers)
You can factorise based on
Common factor
Same coefficient
Same term – Simple extract of common terms
Same term - By grouping (arranging the terms in an algebraic expression into groups such that terms in each group have common factors, extract the common factor)
Special Products – Perfect Squares
Factorisation frame
3. Simple Algebraic Fractions
*Ensure that you don’t make careless mistakes here
Multiplication and division of Algebraic fractions
Addition and Subtraction of Algebraic fractions
When we add or subtract algebraic fractions, we need to ensure that denominator is the same – by finding the LCM of the denominator.
Change subject of a formula – ensure that a single variable appears only on the left side of the formula
Keep the subject of formula on the left hand side. Bring the rest to the right hand side
If
1. Proportion
Map and Scale
Scale = Map length : Actual Length = 1 : r or
If the scale on the map is given by 1: r, then the ratio of area measured on the map to the actual area is 1: r2
Direct and inverse proportion
Direct Proportion
Inverse Proportion
If y is directly proportional to x, then or where is a constant and . k is known as the constant of proportionality. or where (,) and (,) are two pairs of values of and
If y is inversely proportional to x, then or where is a constant and . k is known as the constant of proportionality
where (,) and (,) are two pairs of values of and
2. Expansion and Factorisation of Algebraic Expression
Expansion
Expansion of algebraic expressions requires the use of removal of brackets. (ie: Rainbow method)
Ensure that you have written down the correct sign for the terms
Factorisation
Factorisation is the reverse process of expansion. *To check if your factorisation is correct, expand your answer to see if it matches the question given. – (Method to check your answers)
You can factorise based on
Common factor
Same coefficient
Same term – Simple extract of common terms
Same term - By grouping (arranging the terms in an algebraic expression into groups such that terms in each group have common factors, extract the common factor)
Special Products – Perfect Squares
Factorisation frame
3. Simple Algebraic Fractions
*Ensure that you don’t make careless mistakes here
Multiplication and division of Algebraic fractions
Addition and Subtraction of Algebraic fractions
When we add or subtract algebraic fractions, we need to ensure that denominator is the same – by finding the LCM of the denominator.
Change subject of a formula – ensure that a single variable appears only on the left side of the formula
Keep the subject of formula on the left hand side. Bring the rest to the right hand side
If