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Lesson
Secondary 1
Chp 1: Primes, Highest Common Factors and Lowest Common Multiple
1.1: Prime Numbers
1.2: Square Roots and Cube Roots
1.3: Highest Common Factors and Lowest Common Multiple
Chp 2: Integers, Rational Numbers and Real Numbers
2.1: Negative Numbers
2.2: Addition and Subtraction of Negative Integers
2.3: Multiplication, division & combined operations of negative integers
2.4: Fractions and Mixed Numbers
2.5: Decimals
2.6: Rational, irrational and real numbers
Chp 3: Approximation and Estimation
3.1: Rounding and Significant Figures
3.2: Approximation and approximation errors in real-world contexts
3.3: Estimation and estimation errors in real-world contexts
Chp 4: Basic Algebra and Algebraic Manipulation
4.1: Basic Algebraic concepts and notations
4.2: Addition and Subtraction of linear terms
4.3: Expansion of linear expressions
Chp 5: Linear Equations
5.1: Linear Equations
5.2: Application of linear equations in real-world contexts
5.3: Mathematical Formulae
Chp 6: Number Patterns
6.1: Number Sequences
6.2: Number sequences and patterns
Chp 7: Percentage
7.1: Percentage
7.2: Percentage change, percentage point and reverse percentage
7.3: Percentage in real-world contexts
Chp 8: Ratio and Rate
8.1: Ratio
8.2: Rate
8.3: Speed
Chp 9: Angles and Triangles
9.1: Basic geometrical concepts and notations
9.2: Properties of angles formed by intersecting lines (Recap)
9.3: Properties of angles formed by 2 parallel lines and transversal
9.4: Triangles
Chp 10: Perimeter and Area of Plane Figures
10.1: Conversion of units
10.2: Perimeter and area of basic plane figures
10.3: Perimeter and area of parallelograms
10.4: Perimeter and area of trapeziums
Chp 11: Volume and Surface Area of Prisms and Cylinders
11.1: Conversion of Units
11.2: Three-dimensional solids
11.3: Volume and Surface Area of Cubes and Cuboids
11.4: Volume and Surface Area of Prisms
11.5: Volume and Surface Area of Cylinders
11.6: Volume and Surface Area of Composite Solids
Chp 12: Statistical Data Handling
12.1: Frequency Table
12.2: Pictogram
12.3: Bar Graph
12.4: Pie Chart
12.5: Line Graph
12.6: Evaluation of statistical representations
12.7: Statistical Investigation
Secondary 2
Chp 1: Linear Expressions, Equations and Simple Inequalities
1.1: Linear expressions with fractional coefficients
1.2: Linear equations with fractional coefficients and fractional equations
1.3: Simple inequalities
1.4: Solving simple linear inequalities
Chp 2: Linear Functions and Graphs
2.1: Cartersian Coordinates
2.2: Functions
2.3: Linear Functions
2.4: Aplication of Linear graphs in real-world contexts
Chp 3: Simultaneous Linear Equations
3.1: Graphs of linear equations in the form ax + by = k
3.2: Solving simultaneous equations using graphical method
3.3: Solving simultaneous equations using elimination method
3.4: Solving simultaneous equations using substitution method
3.5: Application of simultaneous equations in real-world contexts
Chp 4: Expansion and Factorisation of Algebraic Expressions
4.1: Addition and Subtraction of Quadratic Expressions
4.2: Expansion of algebraic expressions of the form (a + b)(c + d)
4.3: Expansion of Quadratic Expressions
4.4: Factorisation of Linear Expressions
4.5: Factorisation of Quadratic Expressions
Chp 5: Expansion and Factorisation using Special Identities
5.1: Exapnsion using Special Identities
5.2: Factorisation using Special Identities
Chp 6: Algebraic Fractions
6.1: Algebraic Fractions
6.2: Multiplication and Division of Algebraic Fractions
Chp 7: Direct and Inverse Proportions
7.1: Direct Proportion
7.2: Algebraic and graphical representations of direct proportion
7.3: Other forms of direct proportion
7.4: Inverse Proportion
7.5: Algebraic and graphical representation of inverse proportion
7.6: Other forms of inverse proportion
Chp 8: Polygons and Geometrical Constructions
8.1: Quadrilaterals
8.2: Geometrical constructions of triangles and Quadrilaterals
8.3: Polygons
Chp 9: Congruency and Similarity
9.1: Congruent Figures
9.2: Similar Figures
9.3: Similarity and Map Scales
Chp 10: Pythagoras' Theorem
10.1: Pythagoras' Theorem
10.2: Applications of Pythagoras' Theorem in real-world contexts
10.3: Converse of Pythagoras' Theorem
Chp 11: Volume and Surface Area of Pyramids, Cones and Spheres
11.1: Volume and Surface Area of Pyramids.
Chp 12: Probability of Single Events
Chp 13: Statistical Diagrams
Chp 14: Averages of Statistical Data
Secondary 3
Chp 1: Algebraic Expressions and Formulae
1.1: Expansion of algebraic expressions (Recap)
1.2: Factorisation of algebraic expressions into the form (a+b)(c+d)
1.3: Addition and subtraction of algebraic fractions
1.4: Solving equations involving algebraic fractions
1.5: Manipulation of algebraic formulae
Chp 2: Quadratic Equations and Graphs
2.1: Solving Quadratic equations by factorisation
2.2: Solving quadratic equations by completing the square
2.3: Solving quadratic equations using formula
2.4: Solving fractional equations reducible to quadratic equations
2.5: Solving quadratic equations by graphical method
2.6: Application of quadratic equations in real-world contexts
Chp 3: Indices and Standard Form
3.1: Indices
3.2: Laws of Indices
3.3: Zero and Negative Indices
3.4: Rational Indices
3.5: Compound Interest
3.6: Standard Form
Chp 4: Coordinate Geometry
4.1: Length of a line segment
4.2: Gradient of a straight line
4.3: Equation of a straight line
Chp 5: Graphs of Functions and Grapahical Solutions
5.1: Graphs of cubic functions
5.2: Graphs of reciprocal functions
5.3: Graphs of exponential functions
5.4: Gradient of a curve
5.5: Application of graphs in real-world contexts
Chp 6: Trigonometry
6.1: Trigonometric ratios
6.2: Applications of trigo ratio to find unknown sides
6.3: Application of trigo ratio to find unknown angles
6.4: Applications of trigo ratio in real-worl contexts
Chp 7: Further Trigonometry
7.1: Sine and cosine of obtuse angles
7.2: Area of triangle
7.3: Sine Rule
7.4: Cosine Rule
Chp 8: Congruence and Similarity
8.1: Congruence and Similarity
8.2: Similarity and Enlargement
8.3: Bisectors and scale drawing
Documents and Solutions
Video Answers
Video Answers 2023
2NA Video Answers 2023
2NA Quiz and School Papers Video Answers
2NA Workbook Video Answers
3NA Video Answers 2023
3NA Quiz and School Papers Video Answers
3NA Worksheets Video Answers
3NA Workbook Video Answers
Video Answers 2022
Quiz Video Answer
Workbook Video Answer
School Paper Video Answer
Worksheet Video Answer
Normal Academic Math Website
Home
Lesson
Secondary 1
Chp 1: Primes, Highest Common Factors and Lowest Common Multiple
1.1: Prime Numbers
1.2: Square Roots and Cube Roots
1.3: Highest Common Factors and Lowest Common Multiple
Chp 2: Integers, Rational Numbers and Real Numbers
2.1: Negative Numbers
2.2: Addition and Subtraction of Negative Integers
2.3: Multiplication, division & combined operations of negative integers
2.4: Fractions and Mixed Numbers
2.5: Decimals
2.6: Rational, irrational and real numbers
Chp 3: Approximation and Estimation
3.1: Rounding and Significant Figures
3.2: Approximation and approximation errors in real-world contexts
3.3: Estimation and estimation errors in real-world contexts
Chp 4: Basic Algebra and Algebraic Manipulation
4.1: Basic Algebraic concepts and notations
4.2: Addition and Subtraction of linear terms
4.3: Expansion of linear expressions
Chp 5: Linear Equations
5.1: Linear Equations
5.2: Application of linear equations in real-world contexts
5.3: Mathematical Formulae
Chp 6: Number Patterns
6.1: Number Sequences
6.2: Number sequences and patterns
Chp 7: Percentage
7.1: Percentage
7.2: Percentage change, percentage point and reverse percentage
7.3: Percentage in real-world contexts
Chp 8: Ratio and Rate
8.1: Ratio
8.2: Rate
8.3: Speed
Chp 9: Angles and Triangles
9.1: Basic geometrical concepts and notations
9.2: Properties of angles formed by intersecting lines (Recap)
9.3: Properties of angles formed by 2 parallel lines and transversal
9.4: Triangles
Chp 10: Perimeter and Area of Plane Figures
10.1: Conversion of units
10.2: Perimeter and area of basic plane figures
10.3: Perimeter and area of parallelograms
10.4: Perimeter and area of trapeziums
Chp 11: Volume and Surface Area of Prisms and Cylinders
11.1: Conversion of Units
11.2: Three-dimensional solids
11.3: Volume and Surface Area of Cubes and Cuboids
11.4: Volume and Surface Area of Prisms
11.5: Volume and Surface Area of Cylinders
11.6: Volume and Surface Area of Composite Solids
Chp 12: Statistical Data Handling
12.1: Frequency Table
12.2: Pictogram
12.3: Bar Graph
12.4: Pie Chart
12.5: Line Graph
12.6: Evaluation of statistical representations
12.7: Statistical Investigation
Secondary 2
Chp 1: Linear Expressions, Equations and Simple Inequalities
1.1: Linear expressions with fractional coefficients
1.2: Linear equations with fractional coefficients and fractional equations
1.3: Simple inequalities
1.4: Solving simple linear inequalities
Chp 2: Linear Functions and Graphs
2.1: Cartersian Coordinates
2.2: Functions
2.3: Linear Functions
2.4: Aplication of Linear graphs in real-world contexts
Chp 3: Simultaneous Linear Equations
3.1: Graphs of linear equations in the form ax + by = k
3.2: Solving simultaneous equations using graphical method
3.3: Solving simultaneous equations using elimination method
3.4: Solving simultaneous equations using substitution method
3.5: Application of simultaneous equations in real-world contexts
Chp 4: Expansion and Factorisation of Algebraic Expressions
4.1: Addition and Subtraction of Quadratic Expressions
4.2: Expansion of algebraic expressions of the form (a + b)(c + d)
4.3: Expansion of Quadratic Expressions
4.4: Factorisation of Linear Expressions
4.5: Factorisation of Quadratic Expressions
Chp 5: Expansion and Factorisation using Special Identities
5.1: Exapnsion using Special Identities
5.2: Factorisation using Special Identities
Chp 6: Algebraic Fractions
6.1: Algebraic Fractions
6.2: Multiplication and Division of Algebraic Fractions
Chp 7: Direct and Inverse Proportions
7.1: Direct Proportion
7.2: Algebraic and graphical representations of direct proportion
7.3: Other forms of direct proportion
7.4: Inverse Proportion
7.5: Algebraic and graphical representation of inverse proportion
7.6: Other forms of inverse proportion
Chp 8: Polygons and Geometrical Constructions
8.1: Quadrilaterals
8.2: Geometrical constructions of triangles and Quadrilaterals
8.3: Polygons
Chp 9: Congruency and Similarity
9.1: Congruent Figures
9.2: Similar Figures
9.3: Similarity and Map Scales
Chp 10: Pythagoras' Theorem
10.1: Pythagoras' Theorem
10.2: Applications of Pythagoras' Theorem in real-world contexts
10.3: Converse of Pythagoras' Theorem
Chp 11: Volume and Surface Area of Pyramids, Cones and Spheres
11.1: Volume and Surface Area of Pyramids.
Chp 12: Probability of Single Events
Chp 13: Statistical Diagrams
Chp 14: Averages of Statistical Data
Secondary 3
Chp 1: Algebraic Expressions and Formulae
1.1: Expansion of algebraic expressions (Recap)
1.2: Factorisation of algebraic expressions into the form (a+b)(c+d)
1.3: Addition and subtraction of algebraic fractions
1.4: Solving equations involving algebraic fractions
1.5: Manipulation of algebraic formulae
Chp 2: Quadratic Equations and Graphs
2.1: Solving Quadratic equations by factorisation
2.2: Solving quadratic equations by completing the square
2.3: Solving quadratic equations using formula
2.4: Solving fractional equations reducible to quadratic equations
2.5: Solving quadratic equations by graphical method
2.6: Application of quadratic equations in real-world contexts
Chp 3: Indices and Standard Form
3.1: Indices
3.2: Laws of Indices
3.3: Zero and Negative Indices
3.4: Rational Indices
3.5: Compound Interest
3.6: Standard Form
Chp 4: Coordinate Geometry
4.1: Length of a line segment
4.2: Gradient of a straight line
4.3: Equation of a straight line
Chp 5: Graphs of Functions and Grapahical Solutions
5.1: Graphs of cubic functions
5.2: Graphs of reciprocal functions
5.3: Graphs of exponential functions
5.4: Gradient of a curve
5.5: Application of graphs in real-world contexts
Chp 6: Trigonometry
6.1: Trigonometric ratios
6.2: Applications of trigo ratio to find unknown sides
6.3: Application of trigo ratio to find unknown angles
6.4: Applications of trigo ratio in real-worl contexts
Chp 7: Further Trigonometry
7.1: Sine and cosine of obtuse angles
7.2: Area of triangle
7.3: Sine Rule
7.4: Cosine Rule
Chp 8: Congruence and Similarity
8.1: Congruence and Similarity
8.2: Similarity and Enlargement
8.3: Bisectors and scale drawing
Documents and Solutions
Video Answers
Video Answers 2023
2NA Video Answers 2023
2NA Quiz and School Papers Video Answers
2NA Workbook Video Answers
3NA Video Answers 2023
3NA Quiz and School Papers Video Answers
3NA Worksheets Video Answers
3NA Workbook Video Answers
Video Answers 2022
Quiz Video Answer
Workbook Video Answer
School Paper Video Answer
Worksheet Video Answer
More
Home
Lesson
Secondary 1
Chp 1: Primes, Highest Common Factors and Lowest Common Multiple
1.1: Prime Numbers
1.2: Square Roots and Cube Roots
1.3: Highest Common Factors and Lowest Common Multiple
Chp 2: Integers, Rational Numbers and Real Numbers
2.1: Negative Numbers
2.2: Addition and Subtraction of Negative Integers
2.3: Multiplication, division & combined operations of negative integers
2.4: Fractions and Mixed Numbers
2.5: Decimals
2.6: Rational, irrational and real numbers
Chp 3: Approximation and Estimation
3.1: Rounding and Significant Figures
3.2: Approximation and approximation errors in real-world contexts
3.3: Estimation and estimation errors in real-world contexts
Chp 4: Basic Algebra and Algebraic Manipulation
4.1: Basic Algebraic concepts and notations
4.2: Addition and Subtraction of linear terms
4.3: Expansion of linear expressions
Chp 5: Linear Equations
5.1: Linear Equations
5.2: Application of linear equations in real-world contexts
5.3: Mathematical Formulae
Chp 6: Number Patterns
6.1: Number Sequences
6.2: Number sequences and patterns
Chp 7: Percentage
7.1: Percentage
7.2: Percentage change, percentage point and reverse percentage
7.3: Percentage in real-world contexts
Chp 8: Ratio and Rate
8.1: Ratio
8.2: Rate
8.3: Speed
Chp 9: Angles and Triangles
9.1: Basic geometrical concepts and notations
9.2: Properties of angles formed by intersecting lines (Recap)
9.3: Properties of angles formed by 2 parallel lines and transversal
9.4: Triangles
Chp 10: Perimeter and Area of Plane Figures
10.1: Conversion of units
10.2: Perimeter and area of basic plane figures
10.3: Perimeter and area of parallelograms
10.4: Perimeter and area of trapeziums
Chp 11: Volume and Surface Area of Prisms and Cylinders
11.1: Conversion of Units
11.2: Three-dimensional solids
11.3: Volume and Surface Area of Cubes and Cuboids
11.4: Volume and Surface Area of Prisms
11.5: Volume and Surface Area of Cylinders
11.6: Volume and Surface Area of Composite Solids
Chp 12: Statistical Data Handling
12.1: Frequency Table
12.2: Pictogram
12.3: Bar Graph
12.4: Pie Chart
12.5: Line Graph
12.6: Evaluation of statistical representations
12.7: Statistical Investigation
Secondary 2
Chp 1: Linear Expressions, Equations and Simple Inequalities
1.1: Linear expressions with fractional coefficients
1.2: Linear equations with fractional coefficients and fractional equations
1.3: Simple inequalities
1.4: Solving simple linear inequalities
Chp 2: Linear Functions and Graphs
2.1: Cartersian Coordinates
2.2: Functions
2.3: Linear Functions
2.4: Aplication of Linear graphs in real-world contexts
Chp 3: Simultaneous Linear Equations
3.1: Graphs of linear equations in the form ax + by = k
3.2: Solving simultaneous equations using graphical method
3.3: Solving simultaneous equations using elimination method
3.4: Solving simultaneous equations using substitution method
3.5: Application of simultaneous equations in real-world contexts
Chp 4: Expansion and Factorisation of Algebraic Expressions
4.1: Addition and Subtraction of Quadratic Expressions
4.2: Expansion of algebraic expressions of the form (a + b)(c + d)
4.3: Expansion of Quadratic Expressions
4.4: Factorisation of Linear Expressions
4.5: Factorisation of Quadratic Expressions
Chp 5: Expansion and Factorisation using Special Identities
5.1: Exapnsion using Special Identities
5.2: Factorisation using Special Identities
Chp 6: Algebraic Fractions
6.1: Algebraic Fractions
6.2: Multiplication and Division of Algebraic Fractions
Chp 7: Direct and Inverse Proportions
7.1: Direct Proportion
7.2: Algebraic and graphical representations of direct proportion
7.3: Other forms of direct proportion
7.4: Inverse Proportion
7.5: Algebraic and graphical representation of inverse proportion
7.6: Other forms of inverse proportion
Chp 8: Polygons and Geometrical Constructions
8.1: Quadrilaterals
8.2: Geometrical constructions of triangles and Quadrilaterals
8.3: Polygons
Chp 9: Congruency and Similarity
9.1: Congruent Figures
9.2: Similar Figures
9.3: Similarity and Map Scales
Chp 10: Pythagoras' Theorem
10.1: Pythagoras' Theorem
10.2: Applications of Pythagoras' Theorem in real-world contexts
10.3: Converse of Pythagoras' Theorem
Chp 11: Volume and Surface Area of Pyramids, Cones and Spheres
11.1: Volume and Surface Area of Pyramids.
Chp 12: Probability of Single Events
Chp 13: Statistical Diagrams
Chp 14: Averages of Statistical Data
Secondary 3
Chp 1: Algebraic Expressions and Formulae
1.1: Expansion of algebraic expressions (Recap)
1.2: Factorisation of algebraic expressions into the form (a+b)(c+d)
1.3: Addition and subtraction of algebraic fractions
1.4: Solving equations involving algebraic fractions
1.5: Manipulation of algebraic formulae
Chp 2: Quadratic Equations and Graphs
2.1: Solving Quadratic equations by factorisation
2.2: Solving quadratic equations by completing the square
2.3: Solving quadratic equations using formula
2.4: Solving fractional equations reducible to quadratic equations
2.5: Solving quadratic equations by graphical method
2.6: Application of quadratic equations in real-world contexts
Chp 3: Indices and Standard Form
3.1: Indices
3.2: Laws of Indices
3.3: Zero and Negative Indices
3.4: Rational Indices
3.5: Compound Interest
3.6: Standard Form
Chp 4: Coordinate Geometry
4.1: Length of a line segment
4.2: Gradient of a straight line
4.3: Equation of a straight line
Chp 5: Graphs of Functions and Grapahical Solutions
5.1: Graphs of cubic functions
5.2: Graphs of reciprocal functions
5.3: Graphs of exponential functions
5.4: Gradient of a curve
5.5: Application of graphs in real-world contexts
Chp 6: Trigonometry
6.1: Trigonometric ratios
6.2: Applications of trigo ratio to find unknown sides
6.3: Application of trigo ratio to find unknown angles
6.4: Applications of trigo ratio in real-worl contexts
Chp 7: Further Trigonometry
7.1: Sine and cosine of obtuse angles
7.2: Area of triangle
7.3: Sine Rule
7.4: Cosine Rule
Chp 8: Congruence and Similarity
8.1: Congruence and Similarity
8.2: Similarity and Enlargement
8.3: Bisectors and scale drawing
Documents and Solutions
Video Answers
Video Answers 2023
2NA Video Answers 2023
2NA Quiz and School Papers Video Answers
2NA Workbook Video Answers
3NA Video Answers 2023
3NA Quiz and School Papers Video Answers
3NA Worksheets Video Answers
3NA Workbook Video Answers
Video Answers 2022
Quiz Video Answer
Workbook Video Answer
School Paper Video Answer
Worksheet Video Answer
6.2: Number sequences and patterns
1) Lesson Objectives:
You should be able to
solve questions involving sequences with geometrical shapes
Textbook Ex6B Video Answers
Ex6B Qtn 2 Video Answer
Ex6B Qtn 3 Video Answer
Ex6B Qtn 5 Video Answer
Ex6B Qtn 6 Video Answer
Ex6B Qtn 8 Video Answer
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Sequence with geometrical shape 1
Sequence with geometrical shape 2
Number sequence pattern
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