D-Mathematics O Level – 4024
Concept of Probability
D-Mathematics O Level – 4024
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Syllabus
O Level Mathematics 4024
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Common Mistakes
Avoid 20 Maths Mistakes
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Numbers
Types of Numbers
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Place Value
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Numbers in Words
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Real Numbers System
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Factors and Multiples
Factors and Multiples
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Ex-1.1 (Q1 - Q2) Factors & Multiples
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Prime Factorisation
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Ex-1.2 (Q1 - Q3) Prime Numbers and Composite Numbers
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Ex-1.3 (Q1 - Q5) Prime Factorisation
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Highest Common Factor
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Ex-1.4 (Q1 - Q3) HCF
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Least Common Multiple
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Ex1.5 (Q1) LCM
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Ex1.5 (Q2, Q3) LCM
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Ex1.5 (Q4) LCM
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Integer and Number Line
Ex1.8 (Q1 - Q4) Integers and Number Line
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Ex1.8 (Q5 - Q7) Integers and Number Line
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Square and Square Root
Square of a Number
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Ex1.6 (Q1, Q2) Square and Square Root
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Ex1.6 (Q3, Q4) Square and Square Root
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Ex1.6 (Q5 - Q7) Square and Square Root
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Ex1.6 (Q8, Q9) Square and Square Root
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Ex1.6 (Q10) Square and Square Root
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Ex1.6 (Q11, Q12) Square and Square Root
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Estimation and Approximation
Ex1.13 (Q1) Estimation and Approximation
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Ex1.13 (Q2, Q3) Estimation and Approximation
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Estimation (PP)
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Cube and Cube Root
Cube of a Number
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Cube Root of a Number
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Ex1.7 (Q1, Q2)Cube and Cube Root
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Ex1.7 (Q 3, Q4) Cube and Cube Root
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Ex1.7 (Q 5, Q6) Cube and Cube Root
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Ex1.7 (Q7) Cube and Cube Root
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Arithmetic Operations on Integers
Ex1.9 (Q1) Arithmetic Operation on Integers
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Ex1.9 (Q2) Arithmetic Operation on Integers
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Fractions
Ex1.11 (Q1) Rational Numbers
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Ex1.11 (Q2, Q3) Rational Numbers
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Ex1.11 (Q4) Rational Numbers
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Ex1.11 (Q5) Rational Numbers
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Recurring Decimals
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Rational & Irrational Number
Rational & Irrational Numbers
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Ex1.12 (Q1) Rational & Irrational Numbers
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Ex1.12 (Q2) Rational & Irrational Numbers
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Ex1.12 (Q3 - Q5) Rational & Irrational Numbers
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Ex1.12 (Q6, Q7) Rational & Irrational Numbers
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Surds
Arithmetic on Surds
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Simplification of Surds
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Rationalise Denominator
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Indices
Ex2.1 (Q1, 2) Laws of Indices
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Ex2.1 (Q3) Laws of Indices
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Ex2.1 (Q4 till Q9)
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Ex 2.2(Q4) Zero and Negative Indices
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Ex2.2 (Q5 till Q8) Zero and Negative Indices
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Ex2.2 (Q9, 10) Zero and Negative Indices
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Ex2.2 (Q11) Zero and Negative Indices
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Ex2.3 (Q1, 2) Rational Indices
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Ex2.3 (Q3) Rational Indices
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Ex2.3 (Q4) Fractional Indices
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Ex2 .3 (Q5, 6) Rational Indices
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Ex2.3 (Q7) Rational Indices
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Ex2.3 (Q8) Rational Indices
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Ex2.3 (Q9 till Q13) Rational Indices
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Ex2.4 (Q1 till Q4) Equations Involving Indices
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Ex2.4 (Q5 till Q8) Equations Involving Indices
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Indices (Worksheet)
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Indices (Exam Questions P-1)
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Ordering Numbers
Ex1.10 (Q1, Q2) Ordering of Numbers
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Ex1.10 (Q3 - Q5) Ordering of Numbers
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Ex1.10 (Q6) Ordering of Numbers
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Standard Form
Ex2.5 (Q1) Standard Form
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Ex2.5 (Q2) Standard Form
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Ex2.5 (Q3 a till d) Standard Form
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Ex2.5 (3 e, f, g) Standard Form
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Everyday Mathematics
Currency Exchange
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Hire Purchase
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Simple Interest
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Compound Interest
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Compound Interest (Questions)
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Exponential Growth and Decay
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Algebraic Manipulation
Introduction to Algebra
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Basic Terms used in Algebra
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How to write Algebraic Expression
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Expansion of Algebraic Expressions
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Ex3.1 (Q3) Expansion of Algebraic Expression
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Ex3.1 (Q5) Expansion of Algebraic Expression
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Ex3.1 (Q6 a, b) Expansion of Algebraic Expression
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Ex3.1 (Q6 c, d) Expansion of Algebraic Expression
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Ex3.1 (Q8) Expansion of Algebraic Expression
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Ex3.1 (Q7) Expansion of Algebraic Expression
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Ex3.2 (Q1 a, b, c, d, e, f) Factorisation
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Factorisation of Algebraic Expressions
Reading
Ex3.2 (Q1 g, h, i, j) Factorisation
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Ex3.2 (Q2 a, b) Factorisation
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Ex3.2 (Q2 c, d, e, f) Factorisation
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Ex3.2 (Q2 g, i, j, k) Factorisation
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Ex3.2 (Q2 l, m, n, o) Factorisation
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Ex3.2 (Q3) Factorisation
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Ex3.2 (Q4) Factorisation
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Ex3.2 (Q5) Factorisation
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Ex3.2 (Q6) Factorisation
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Ex3.2 (Q7 a, b, c, d,e, f) Factorisation
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Ex3.2 (Q7 g, h, i, j, k, l) Factorisation
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Ex3.2 (Q8 a, b, c) Factorisation
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Ex3.2 (Q8 d, e) Factorisation
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Ex3.3 (Q1) Completing the Square
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Algebraic Manipulation (Worksheet)
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Factorisation Of Algebraic Expressions(Worksheet)
Reading
Variation
Direct Variation
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Inverse Variation
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Variation (Worksheet)
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Sets and Venn Diagrams
Introduction to Sets and Venn Diagram
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Types of Sets
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Sets Operations
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Venn Diagram
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Shading of Venn Diagram
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Shading of Venn Diagram (P1)
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Sets and Venn Diagrams (P2)
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Graphs of Linear Inequalities
Graphs of Linear Inequalities Concepts
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Linear Inequalities ( Past Paper Questions)
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Coordinate Geometry
Distance Formula
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Gradient of a straight line
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Equation of Straight Line
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Coordinate Geometry (Complete Chapter)
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Coordinate Geometry (P1)
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Graphs of Function
Types of Functions and Graphs
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Graphs of Function (P2)
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Symmetry
Symmetry and Line of Symmetry
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Plane of Symmetry
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Rotational Symmetry
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Statistics
Estimated Mean
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Histogram (Unequal Class width)
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Cumulative Frequency Curve
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Cumulative Frequency Curve (P2)
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Scatter Plot
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Mean (3 Methods)
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Function and Inverse Function
Concept of Function
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Evaluating Functions
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Ex9.1 (Q1) Functions
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Ex9.1 (Q2) Functions
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Ex9.1 (Q3) Functions
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Ex9.1(Q4) Functions
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Concept of Inverse Function
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Inverse Function
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Ex9.2 (Q1) Inverse Functions
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Ex9.2 (Q2) Inverse Functions
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Ex9.2 (Q3) Inverse Functions
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Ex9.2 (Q4) Inverse Functions
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Ex9.2 (Q5) Inverse Functions
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Vectors in Two Dimensions
Introduction to Vectors
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Column Vector
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Magnitude of a Vector
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Express a vector interms of other vectors
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Ex23.5 (Q1)
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Ex23.5 (Q2)
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Ex23.5 (Q3)
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Ex23.5 (Q4)
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Trigonometry
Trigonometric Ratios of Acute and Obtuse angles
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Angle of Elevation and Depression
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Sin Rule
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Sin Rule (Exam questions)
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Cosine Rule
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Trigonometric Ratios
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Area of Triangle
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Exam Questions (P2)
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Pythagoras Theorem |
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Angles Properties of Circle
Tangent Properties of Circles
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Ex20.3 (Q3) Tangent Properties
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Probability
Concept of Probability
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Terms used in Probability
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Simple and Combined Events
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Independent Events
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Dependent Events
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Ex22.1 (Q1, 2, 3) Simple Probability
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Ex22.1 (Q4, 5, 6, 7, 8) Simple Probability
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Ex22.1 (Q9, 10) Simple Probability
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Ex22.1 (Q11, 12) Simple Probability
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Ex22.1 (Q13) Simple Probability
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Ex22.1 (Q14) Simple Probability
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Ex22.1 (Q15) Simple Probability
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Ex22.1 (Q16) Simple Probability
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Ex22.1 (Q17) Simple Probability
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Ex22.1 (Q18) Simple Probability
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Ex22.1 (Q19) Simple Probability
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Mensuration
Area and Perimeter of Square and Rectangle
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Area and Perimeter of Circle and Sector
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Volume, Surface Area and Net of Cuboid
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Volume, Surface Area and Net of Pyramid
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Volume and Surface Area of Sphere (P2)
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Geometrical Properties of Quadrilaterals
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Cirle and Sector ( Exam Questions)
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Past Paper (N2013-P2-Q8)
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Past Paper (J2014-P2-Q11b)
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Past Paper (J2015-P2-Q4b)
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Solution of Linear Equations
Solving Linear Equations
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Simultaneous Equations
Solving Simultaneous Equations by Substitution
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Simultaneous Equations by Elimination
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Quadratic Equations
Three Forms of Quadratic Equations
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Methods of Solving Quadratic Equations
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Solving Equations by Factorisation
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Solving Equation by Completing the Square
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Solving equations Quadratic Formula
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Travel Graphs
Travel Graphs (Exam Questions P-1)
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