GCSE Maths Revision Overview

Introduction

• Objective: Review the entire GCSE Maths syllabus over two hours.
• Audience: Suitable for both foundation and higher tier students.
• Resources: Topic lists and timestamps available.
• Recommendation: Make a list of difficult topics for focused revision.
• Higher Tier: For grades 7-9, watch additional video for harder topics.
• Exam Papers: Video walkthroughs available on YouTube channel.

Key Topics

Prime Factorization

• Example: Write 120 as a product of its prime factors.
• Method: Break down into factor pairs and use prime numbers.
• Calculator Tip: Use Casio calculator for quicker results.

Greatest Common Factor (GCF) and Lowest Common Multiple (LCM)

• GCF Example: Find the highest common factor of 72 and 120.
• LCM Example: Lowest common multiple of 6 and 9 is 18.
• Concept: Express a fraction in its simplest terms using GCF/LCM.

Coin Problem

• Problem: Eve gives coins to equalize money with Ola.
• Solution: Calculate difference, half it, and transfer coins accordingly.

Pack Purchase Problem

• Problem: Buy 48 cans of cola in the cheapest way.
• Solution: Calculate unit costs for different pack options, select lowest.

Profit Calculation in Business

• Example: Calculate profit from selling hot dogs.
• Method: Income minus total expenditure.

Percentage Increase

• Example: Diesel price increase calculation.
• Method: Use final, original, and multiplier (FOM) triangle.

Simple vs. Compound Interest

• Comparison: Differentiate between simple and compound interest calculations.
• Example: Compare savings in two banks over eight years.

Ratio and Proportion

• Example: Share money in a given ratio.
• Percentage of Pens: Calculate percentage of blue pens from ratios.

Estimation and Significant Figures

• Method: Round numbers to one significant figure for estimation.

Error Intervals

• Concept: Determine the range of possible values based on error margin.

Powers and Roots

• Example: Find cube root and power using a calculator.

Sequences and Patterns

• Fibonacci: Recognize Fibonacci sequence pattern.
• Arithmetic Sequences: Identify and calculate terms.

Algebra

• Simplification: Collect like terms.
• Expansion: Expand brackets and factorize expressions.

Geometry

• Angles: Calculate angles using parallel line properties.
• Triangles: Use Pythagoras' theorem and trigonometry to find missing sides/angles.
• Polygons: Calculate sum of interior angles using triangle division.

Data Representation

• Pie Charts: Convert data to angles and plot pie chart.
• Scatter Diagrams: Plot data and determine correlation.

Probability

• Tree Diagrams: Use for visualizing probability outcomes.
• Sample Space Diagrams: Display all possible outcomes.

Transformations

• Reflections and Rotations: Apply transformations to shapes on a grid.
• Enlargements: Describe transformations with scale factors.

Compound Shapes and Volumes

• Example: Calculate volume of compound shapes.
• Density Problems: Use density formula to find mass and volume.

Graphs of Functions

• Linear and Quadratic: Plot and interpret graphs.

Conclusion

• Encouragement: Continue with past paper practice for best revision results.
• Further Resources: Links to walkthrough videos for more practice.