ADD MATHS REVISION | SPM 2021 (Paper 1) FULL


Summary

The video covers a wide range of math topics related to SPM past year 2021 questions, from geometry to trigonometry and vectors. It provides detailed explanations on solving various types of math problems, including equations of straight lines, geometric progressions, and quadratic functions. The speaker walks through step-by-step solutions, emphasizing key concepts like coordinate systems, vector laws, and fraction calculations. Viewers are guided on how to approach different types of math questions effectively, ensuring a comprehensive understanding of the topics covered in the SPM exam. The video serves as a valuable resource for students looking to improve their problem-solving skills and excel in mathematics.


Introduction to SPM Past Year 2021

The speaker introduces the topic of SPM past year 2021 and emphasizes the importance of attempting the questions on paper one.

Solving Geometry Question 1

Explanation of how to approach and solve question 1 involving angles and radii of a circle in geometry.

Solving Math Question 2

Detailed steps on solving a math question, specifically related to finding the equation of a straight line graph.

Solving Geometric Progression Question

Explanation of how to solve a geometric progression question in mathematics and finding the term limit.

Solving Math Question 4

Discussion on finding the equation of a curve and determining the tangent point on the curve.

Solving Math Question 5

Guidance on finding the range of values for a quadratic function to be greater than zero.

Solving Math Question 6

Explanation of solving a geometry question involving a trapezium, angles, and perimeter calculations.

Solving Trigonometry Question

Step-by-step solution to a trigonometry question involving angles and sides of a right-angled triangle.

Geometry and Vectors

Discussion on vectors, vector triangle law, coordinate systems, and understanding vector components.

Vector Triangle Law

Explanation of vector triangle law and its application in finding coordinates and distances.

Coordinate Systems and Vector Representations

Explanation of coordinate systems, vector representations, horizontal and vertical walks, and counting vector steps.

Deriving Formulas in Geometry

Deriving formulas for point division in line segment and calculating coordinates based on given ratios.

Calculating Areas and Volumes

Calculating areas under curves, using integration, and determining volumes of cylinders based on given dimensions.

Permutations and Combinations

Discussion on arranging cards in different permutations and combinations and forming proper fractions with specific conditions.

Understanding Fractions and Even Numbers

Explains the concept of proper fractions and the requirement of using even numbers side by side in fractions.

Proper Fraction Examples

Demonstrates examples of proper fractions using even numbers side by side.

Explaining the Fraction Calculation Process

Walks through the process of calculating fractions and ensuring the correct placement of numbers for proper fractions.

Solving Fraction Equations

Solves equations involving fractions and explains the logic behind the calculations.

Understanding Combinations and Permutations

Explains the concept of combinations and permutations with examples.

Calculator and Quadratic Functions

Explaining how to use the calculator and quadratic functions to find the answers, emphasizing the importance of using the quadratic formula for accurate results.

Solving Quadratic Equations

Demonstrating how to solve quadratic equations step by step using the quadratic formula and simplifying the answers to the simplest form by considering both positive and negative solutions.

Degree of Angles

Discussing the angles and degrees involved in the calculations, highlighting the significance of acute angles and how to determine the correct solutions by considering the positive and negative values.

Marks Allocation

Explaining the allocation of marks for different parts of the question and emphasizing the importance of each step in the solution process to earn full marks.

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