O Level
CAIE > O Level
2
Mathematics D [4024]
Paper 1
Paper 2
A Level
CAIE > A Level
4
Mathematics [9709]
Pure Mathematics 1
Pure Mathematics 3
Mechanics
Probability and Statistics 1
CAIE - A Level
Mathematics 9709
Pure Mathematics 1
Topic Wise Questions | Marking Scheme | Solution Videos
Pure Mathematics 1
Pure Mathematics 3
Mechanics
Probability and Statistics 1
1
Quadratics
Completing Square Form
Quadratic Equations and Inequalities
Complex Quadratic Equations
Discriminant of Quadratic Equations
Simultaneous Equations
Further Questions
2
Functions
Domain and Range of Functions
Domain and Range of Inverse Functions
Composite Functions
Discriminant of Composite Function
Graphs of Functions
Linear Graph
Quadratic Graph
Transformation of Functions
Further Questions
3
Coordinate Geometry
Questions without Diagram
Questions with Diagram
Circle Theorem
4
Circular Measure
Circular Measure
5
Trigonometry
Trigonometric Identities
Trigonometric Equations
Linear Equations
Quadratic Equations
Trigonometric Problems
Graphs of Trigonometric Functions
Finding Unknown Values of Graphs
Composite Graphs
Domain and Range of Trigonometric Functions
Transformation of Trigonometric Functions
Further Questions
6
Binomial Expansion
Expansion of Three Terms
Find the Value of the Constant
Find the Term Independent of ‘x’
Find the Coefficient of Given Term
Further Questions
7
Series
Arithmetic Progression [A.P]
Geometric Progression [G.P]
Arithmetic and Geometric Progression
Trigonometric Arithmetic Progression
Trigonometric Geometric Progression
8
Differentiation
Differentiate
Stationary Points and Nature
Equation of Tangent and Normal
Application of Differentiation
Rate of Change
Increasing / Decreasing Function
Angle through Gradient
9
Integration
Integrate
Equation of a Curve
Further Questions
Application of Integration [Finding Area]
Application of Integration [Finding Volume]
1
Equations and Inequalities
Equations and Inequalities
2
Remainder and Factor Theorem
Remainder and Factor Theorem
3
Logarithmic and Exponential Functions
Logarithmic Equations with 'log'
Equations using ‘log’
Modulus Equations
Modulus Inequalities
Quadratic Equations
Substitution
Logarithmic Equations with 'ln'
Express in terms of Variable
Equations using ‘ln’
Substitution
Linear Law
4
Trigonometry
Proving Identities
Double Angle
Compound Angle
Harmonic Form
Graphs
5
Differentiation
Simple Differentiation
Stationary Points and Nature
Further Questions
Implicit Differentiation
Parametric Differentiation
Equation of Tangent and Normal
6
Integration
Integration of Trigonometric Identities
Integration using Substitution
Finding Area
Simple Questions
Questions using Substitution
Integration by Parts
Simple Questions
Questions with Diagram
Questions using Substitution
Finding Volume
Further Questions
7
Numerical Solution of Equations
Simple Questions on Iteration
Sketching and Verifying Roots
Differentiation with Iteration
Integration with Iteration
Circular Measure with Iteration
8
Partial Fractions and Binomial Expansions
Partial Fractions
Degree of Numerator Less than Denominator
Degree of Numerator Equal to Denominator
Binomial Expansions
Partial Fraction and Binomial Expansion
9
Vectors
Questions without Diagram
Questions with Diagram
Questions Involving Equation of Line
10
Differential Equations
Equations Involving Integration using Recognition
Equations Involving Integration by Partial Fractions
Equations Involving Integration of Trigonometric and Exponential Functions
Equations Involving Integration by Parts
Word Problems – Equation Given
Word Problems – Deriving Equation
11
Complex Numbers
Complex Numbers
1
Forces and Equilibrium
Equilibrium
Forces in Equilibrium
Particles Hanging Freely in Equilibrium
Ring in Equilibrium
Resultant Forces
2
Kinematics of Motion [Horizontal Motion]
Velocity Time Graph Given
Sketching Graphs
Uniform Motion.
Non-Uniform Motion
Converting Graphs
Questions Involving One Particle
Uniform Motion.
Non-Uniform Motion
Questions Involving Two Particles
3
Kinematics of Motion [Vertical Motion]
Vertical Motion
4
Newton Law of Motion
Horizontal Surface
Smooth Surface – In Motion
Rough Surface – In Equilibrium
Rough Surface – In Motion
Rough Surface – Inequality
Inclined Surface
Smooth Surface – In Equilibrium
Smooth Surface – In Motion – Top to Bottom
Rough Surface – In Motion – Top to Bottom
Smooth Surface – In Motion – Bottom to Top
Rough Surface – In Motion – Bottom to Top
Rough Surface – In Equilibrium – About to Slip Up/Down
Rough Surface – Inequality
Rods
Horizontal Motion – In Equilibrium
Horizontal Motion – In Motion
Vertical Motion – In Equilibrium
Particles Attached to a String
Connected Particles
Horizontal Surface and Hanging
Inclined Surface and Hanging
Horizontal and Inclined Surface
Horizontal and Hanging on Both Sides
Both Inclined Surface
Particles Hanging Freely
Particles Attached and Suspended from a Fixed Point
Force Exerted on Pulley
More Questions
5
Work, Power and Energy
Work Done
Power
Energy
6
Momentum
Momentum
1
Representation of Data
Measure of Central Tendency and Spread
Questions Involving Assumed Mean
Stem and Leaf Diagram
Box and Whisker Plots
Histogram
Cumulative Frequency Graphs
2
Permutation and Combination
Permutation
Questions Involving Digits and Alphabets
Permutation Random Questions
Combination
Questions Involving Digits and Alphabets
Combination Random Questions
3
Probability
Finding Probability
Finding Conditional Probability
Mutually Exclusive and Independent Events
4
Discrete Random Variable
Expectation and Variance
Drawing Probability Distribution Table
5
Binomial Distribution
Finding Probability through Binomial Distribution
Mean and Variance of a Binomial Distribution
Log Application in Binomial Distribution
6
Geometric Distribution
Geometric Distribution
7
Normal Distribution
Finding Probability through Normal Distribution
Finding Mean and Standard Deviation
Finding Probability by Approximation
