AdMat Paper 1 Crash Course

Introduction

• Focus on sample papers and questions.
• Aim to complete three sets of 45 questions.
• Tips and tricks for AdMat exam discussed.
• AdMat is less popular, mainly pursued by those going into pure maths or engineering.

Contact Information

• For online lessons at the Student Hub, WhatsApp: +1868 310 1306.

Sample Questions and Techniques

Problem-Solving Techniques

• Factor Theorem Application: Use the calculator to substitute values and quickly find answers.
• Grouping in Expressions: Rearrange and factorize to simplify.
• Graph Analysis: Determine roots and curve types (max/min points) through expansion and examination.
• Quadratic Formula: Use calculators to find minimum/maximum values.
• Inequalities: Solve by rearranging and checking with substitution.

Use of Calculators

• Mode/Functionality: Mode selection for equations and inequalities.
• Quadratic Equations: Calculate roots and discriminants quickly using calculator.
• Function and Composite Functions: Substitute answers to verify.
• Trigonometric Identities and Calculations: Validate identities and solve equations with substitution.

Algebra and Equations

• Completing the Square: Techniques for rearranging quadratic expressions.
• Sum and Product of Roots: Apply theoretical formulas for quick solutions.
• Geometric and Arithmetic Progressions: Solve for sequences using common ratios and differences.

Graphs and Functions

• Vertical Line Test: Determine if graphs represent functions.
• Graph Transformations: Effects of coefficients and constants on sine/cosine graphs.

Vectors and Geometry

• Magnitude and Direction: Calculate unit vectors and angles using dot product.
• Intersection Points: Use substitution and elimination to verify solutions.

Advanced Topics

• Differentiation and Integration: Use calculator functions for definite differentiation and integration.
• Volume and Area Calculations: Apply integration for area/volume under curves.

Summary

• Emphasized calculator use for efficient problem-solving.
• Reinforced understanding of quadratic expressions and trigonometric identities.
• Highlighted multiple approaches for verifying answers, such as substitution.

Conclusion

• Provided significant tips and tricks for AdMat Paper 1.
• Encouraged sharing knowledge and resources among peers.