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Detailed educational infographic by GetYourTutors regarding IGCSE Higher Tier Ratio and Proportion methods. Part 1: Core Ratio Skills Simplification: Shows how to make units consistent before simplifying (e.g., converting 50cm : 2m to 50cm : 200cm to get 1:4). Combining Ratios: Visualizes the "Common Link" method. Given x:y = 2:3 and y:z = 4:5, it uses the LCM of 12 for 'y' to combine them into 8:12:15. Sharing Amounts: Explains the "Difference" method (finding the value of one part when given the difference between shares, e.g., Beth has £40 more). Part 2: Algebraic Proportion (The 'k' Method) The Constant (k): Explains converting a proportionality symbol into an equation using a constant k. Direct Proportion: As one value goes up, the other goes up (y = kx). Inverse Proportion: As one value goes up, the other goes down (y = k/x). Formula Reference Table: Direct Square: y proportional to x^2 becomes y = kx^2. Inverse Square Root: y proportional to 1/sqrt(x) becomes y = k/sqrt(x).

igcse maths

IGCSE Ratio & Proportion: Direct, Inverse & Algebra Guide

Master IGCSE Ratio & Proportion: Direct, Inverse & Algebra (Edexcel 4MA1 Topic 1.8)

Unlock the Higher Tier strategies for Topic 1.8: Ratio and Proportion with this definitive revision guide. We move beyond basic sharing to master the advanced Algebraic Method using the constant of proportionality (k) required for the Edexcel IGCSE (4MA1) exams. From solving complex Difference ratio problems to modeling Direct and Inverse Proportion with squares and roots, this guide provides the rigorous step-by-step methodology you need for Grades 7-9. Learn to combine multi-part ratios (x:y:z) using the LCM method and avoid the critical Square Root Trap to ensure full marks on high-tariff questions.

6 Dec 2025

igcse maths

IGCSE Percentages: Reverse, Compound Interest & Change

Master IGCSE Percentages, Reverse Change & Compound Interest (Edexcel 4MA1 Topic 1.7)

Unlock the Higher Tier strategies for Topic 1.7: Percentages with this definitive revision guide. We go beyond basic growth to master the powerful “Decimal Multiplier” method required for the Edexcel IGCSE (4MA1) exams. From decoding complex Reverse Percentage problems (finding the original value) to modeling Compound Growth and Decay with exponential formulas (A = P(1 + r/100)^n), this guide provides the rigorous step-by-step methodology you need for Grades 7–9. Learn to solve advanced multi-step financial questions—including finding unknown interest rates (r) and calculating real wage growth—while avoiding the critical “Subtraction Trap” to ensure full marks on high-tariff questions.

4 Dec 2025

igcse maths

IGCSE Maths: Set Language, Notation & Venn Diagrams (4MA1)

Master IGCSE Set Language & Venn Diagrams (Edexcel 4MA1 Topic 1.6)

Unlock the Higher Tier secrets to Topic 1.6: Set Theory with this comprehensive revision guide. We go beyond basic shading to master the powerful “Inside-Out Strategy” for solving complex 3-Set Venn Diagram word problems. Designed for students targeting Grades 7–9, this guide decodes essential notation (Union, Intersection, Complement) and tackles the advanced Algebraic Venn Diagram questions that frequently appear in exams. Learn to apply the Inclusion-Exclusion Principle and avoid the critical “Subtraction Error” to ensure logical precision in every answer.

3 Dec 2025

$Complete IGCSE Maths infographic by GetYourTutors on the Laws of Indices (Powers). The Fundamental Laws: Definition: Shows Base (a) and Index (n). The index tells you how many times to multiply the base by itself. Multiplication: Add the powers (a^m x a^n = a^(m+n)). Example: x^3 x x^4 = x^7. Division: Subtract the powers (a^m / a^n = a^(m-n)). Example: x^6 / x^2 = x^4. Power of a Power: Multiply the powers ((a^m)^n = a^(mn)). Example: (x^3)^4 = x^12. Zero Index: Anything to the power of 0 is 1 (a^0 = 1). Advanced Rules (Higher Tier): Negative Indices: Means "Reciprocal." Flip the fraction and make the power positive (a^-n = 1/a^n). Example: (2/3)^-3 = 27/8. Fractional Indices: Means "Root & Power" (a^(m/n)). The denominator is the root, the numerator is the power. Expert Strategy: Always do the ROOT first, then the POWER to keep numbers small (8^(2/3) becomes cube root of 8 is 2, then 2^2 = 4).$

igcse maths

Laws of Indices: Negative & Fractional Powers | IGCSE Guide

Master IGCSE Laws of Indices: Negative & Fractional Powers (Edexcel 4MA1 Topic 1.5)

Unlock the Higher Tier secrets to Topic 1.5: Powers and Roots with this comprehensive revision guide. We go beyond basic multiplication and division rules to master the advanced “Root First” strategy for Fractional Indices and the Reciprocal rule for Negative Powers. Designed for students targeting Grades 7–9, this guide decodes complex exam questions—including solving exponential equations with common bases—and exposes critical pitfalls like the “Coefficient Trap” to ensure algebraic precision.

2 Dec 2025

$Here is the text in clean, plain format with all the symbols and formatting removed for easy copy-pasting: Detailed IGCSE Maths infographic by GetYourTutors explaining the 4 Essential Rules for Fractions. The Golden Rule: "Always Convert Mixed Numbers to Improper Fractions First." Visualizes converting 2 1/3 to 7/3. The 4 Operations: Addition/Subtraction: Must find a Common Denominator FIRST. Multiplication: Multiply Numerators together and Denominators together (Top x Top, Bottom x Bottom). Division: Explains the "KFC Method" (Keep, Flip, Change): Keep the first fraction, Flip the second, Change sign to multiply. Exam Essentials: Warns that "Show All Your Working" is mandatory for marks. Common Pitfall: Explicitly shows that adding denominators is WRONG (e.g., 1/5 + 2/5 does not equal 3/10).$

igcse maths

Mastering IGCSE Maths Fractions: The Complete Guide (4MA1)

IGCSE Maths: The Complete Guide to Fractions and Mixed Numbers (Edexcel 4MA1) Fluency with fractions is non-negotiable for success in the Edexcel IGCSE Mathematics A

30 Nov 2025

$Educational infographic by GetYourTutors explaining how to find HCF and LCM using Prime Factorization and Venn Diagrams.Part 1: The Foundation. Shows a "Factor Tree" breaking down the number 24 into its "Prime DNA" ($2 \times 2 \times 2 \times 3$).Part 2: The Method. Uses a Venn Diagram to compare Prime Factors of 24 and 60.Intersection (HCF): The center overlaps contains shared factors (2, 2, 3). Text explains: "Multiply numbers in the intersection to find Highest Common Factor" ($2 \times 2 \times 3 = 12$).Union (LCM): The full diagram contains all factors. Text explains: "Multiply ALL numbers in the union for Lowest Common Multiple" ($2 \times 12 \times 5 = 120$).Summary Table: Defines HCF as the "largest number that divides into both" and LCM as the "smallest number that both divide into."$

igcse maths

Mastering HCF, LCM, and Prime Factorization | IGCSE Guide

Master IGCSE Prime Factorization, HCF & LCM (Edexcel 4MA1 Higher Tier)

Unlock the definitive guide to Topic 1.2: The Number System, designed specifically for students aiming for Grades 7–9. We move beyond basic definitions to master the Factor Tree and Venn Diagram methods required for the Edexcel IGCSE (4MA1) exams. From decoding the Fundamental Theorem of Arithmetic to solving complex real-world word problems (like planetary alignment and fencing gaps), this guide provides the rigorous step-by-step methodology you need. Learn to conquer advanced algebraic prime factor questions, avoid the common “Highest vs. Lowest” power traps, and secure full method marks with our expert revision toolkit.

28 Nov 2025

igcse maths

Mastering Integers, BIDMAS & Directed Numbers | IGCSE Maths

Master IGCSE Integers, BIDMAS & Directed Numbers (Edexcel 4MA1 Topic 1.1)Secure your foundation for the Higher Tier exam with this definitive guide to Topic 1.1: Integers and BIDMAS. We break down the strict Order of Operations (including the often-missed “Left-to-Right” rule) and the essential rules for handling Directed Numbers in complex calculations.Beyond the basics, this guide targets the specific errors that cost students marks in Grades 8 and 9, such as the critical “Substitution Trap” when squaring negative numbers. Featuring step-by-step worked examples—from simple evaluation to complex algebraic substitution (b2 – 4ac)—this is your essential toolkit for mathematical accuracy across the entire syllabus.

27 Nov 2025