GCSE Maths Revision Lecture Notes

Revision Guide

• Recommended to go through the revision guide or download from the website.
• Ensure understanding of all points before the exam.

Exam Preparation

• Write answers as integers (whole numbers).
• Use number lines for questions involving positive and negative numbers.
• Familiarize yourself with fractions and fraction-to-decimal conversions.

Symbols in GCSE Maths

• Equals: =
• Not equal: ≠
• Less than: <
• More than: >
• Less than or equal to: ≤
• More than or equal to: ≥

Mathematical Operations

• Focus on divide, add, subtract, and multiply.

Arithmetic Operations

• Fractions:

  • Adding: Find common denominators.
  • Subtracting: Common denominators required.
  • Multiplying: Multiply numerators and denominators.
  • Dividing: Invert and multiply.

• Decimals:

  • Ensure alignment of decimal points when adding.
  • For division, eliminate decimals by adjusting divisor and dividend.

Calculator Skills

• Learn long division, multiplication, and BIDMAS (brackets, indices, division, multiplication, addition, subtraction).

Prime Numbers & Factors

• Prime numbers: 2, 3, 5, 7, 11, 17, 19.
• Find highest common factor (HCF) and least common multiple (LCM).

Powers and Roots

• Square numbers (1² to 20²) and cube numbers.
• Calculating square roots and cube roots.

Standard Form

• Converting large and small numbers into standard form.
• Practice moving decimal places appropriately.

Ratios, Proportions, and Conversions

• Fractions in ratios, units conversion (grams to kilograms, seconds to minutes, etc.).

Estimation

• Rounding numbers for easier calculations.
• Overestimation and underestimation concepts.

Algebra

• Rearranging equations to make a subject.
• Formulating algebraic expressions and equations.

Graphs & Functions

• Understanding coordinates (x, y) and plotting points.
• Sketching linear, quadratic, cubic graphs.

Probability

• Basic probability concepts and calculations.
• Venn diagrams, probability trees for compound events.

Trigonometry

• Understanding sine, cosine, and tangent.
• Use of trigonometric values and concepts in solving problems.

Geometry

• Properties of shapes (triangles, quadrilaterals, etc.).
• Angle rules and circle theorems.

Advanced Topics for Higher Tier

• Functions and inverse functions.
• Solving inequalities and quadratic equations.

Study Tips

• Practice with past papers and example questions.
• Use flashcards for memorization of key concepts and formulas.

Ensure these notes cover all key points and topics discussed in the lecture for a comprehensive revision. Remember, practicing problems and applying these concepts is crucial for exam success.