LC HL DEB 2025 P2
LC HL DEB 2025 P2
Analysis
Analysis
Question 1: Coordinate Geometry (Line)
Question 1: Coordinate Geometry (Line)
a) Division of a Line Segment
a) Division of a Line Segment
(b) Shortest Distance from Point to Line; Closest Point on Line
(b) Shortest Distance from Point to Line; Closest Point on Line
(c) Angle between Lines and Slope
(c) Angle between Lines and Slope
Question 2: Trigonometry
Question 2: Trigonometry
(a) Trigonometric Identities; Sine Rule; Solving for Angles
(a) Trigonometric Identities; Sine Rule; Solving for Angles
(b) Properties of Parallelograms
(b) Properties of Parallelograms
Cosine Rule
Cosine Rule
Question 3: Probability & Statistics
Question 3: Probability & Statistics
(a) Combinations; Probability of Sums
(a) Combinations; Probability of Sums
(b) Independent and Mutually Exclusive Events
(b) Independent and Mutually Exclusive Events
Conditional Probability
Conditional Probability
Question 4: Coordinate Geometry (Circle)
Question 4: Coordinate Geometry (Circle)
(a) Equation of a Circle; Tangents to a Circle; Distance Formula
(a) Equation of a Circle; Tangents to a Circle; Distance Formula
(b) Circles with Tangents and a Given Point
(b) Circles with Tangents and a Given Point
Question 5: Geometric Transformations & Area
Question 5: Geometric Transformations & Area
(a) Enlargement; Area under Enlargement; Finding Lengths(b) Proofs involving Circles and Parallelograms; Circle Theorems
(a) Enlargement; Area under Enlargement; Finding Lengths(b) Proofs involving Circles and Parallelograms; Circle Theorems
Question 6: Statistics & Data Analysis
Question 6: Statistics & Data Analysis
(a) Scatter Plots; Correlation Coefficient; Line of Best Fit
(a) Scatter Plots; Correlation Coefficient; Line of Best Fit
(b) Statistical Measures (Mean, Median, IQR, Range)
(b) Statistical Measures (Mean, Median, IQR, Range)
Question 7: Advanced Probability & Statistics
Question 7: Advanced Probability & Statistics
(a) Normal Distribution
(a) Normal Distribution
(b) Hypothesis Testing for Proportions
(b) Hypothesis Testing for Proportions
(c) Binomial and Geometric Probability
(c) Binomial and Geometric Probability
(d) Weighted Averages/Percentage Marks
(d) Weighted Averages/Percentage Marks
Question 8: Applications of Calculus & Geometry
Question 8: Applications of Calculus & Geometry
(a) Equation of a Parabola; Area by Integration
(a) Equation of a Parabola; Area by Integration
(b) Circular Arcs; Area of Circular Segments; Percentage Change
(b) Circular Arcs; Area of Circular Segments; Percentage Change
Question 9: Applied Trigonometry & Geometry
Question 9: Applied Trigonometry & Geometry
(a) Cosine Rule; Area of Triangle
(a) Cosine Rule; Area of Triangle
(b) Similar Triangles; Area of Shaded Regions
(b) Similar Triangles; Area of Shaded Regions
(c) Trigonometric Modelling (Tides)
(c) Trigonometric Modelling (Tides)
Question 10: Volumes & Surface Areas of 3D Shapes
Question 10: Volumes & Surface Areas of 3D Shapes
(a) Cones: Slant Height, Height, Volume, Surface Area
(a) Cones: Slant Height, Height, Volume, Surface Area
(b) Volume of Water in a Cone; Inverted Cones
(b) Volume of Water in a Cone; Inverted Cones
(c) Volume of a Horizontal Cylinder; Rate of Filling
(c) Volume of a Horizontal Cylinder; Rate of Filling