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"GetYourTutors quick guide on 'Mastering Surds' for IGCSE Maths. Left panel: Defines a Surd as an irrational root (e.g., ?2) and shows how to simplify ?75 by finding the largest square factor (?25 x 3 = 5?3). Right panel: Explains 'Rationalising the Denominator' for two cases. Case 1 (Simple): Multiply top and bottom by ?b. Case 2 (Binomial): Multiply by the conjugate (a - ?b) to use the Difference of Two Squares rule (a² - b)."
igcse maths

IGCSE Surds: Simplifying & Rationalising the Denominator

“Why is ?2 better than 1.41? In the world of high-precision engineering and IGCSE exams, exact accuracy is everything. This guide walks you through Topic 1.11, demystifying how to simplify complex roots and master the tricky art of ‘rationalising the denominator’—a guaranteed way to secure marks on your non-calculator paper.”

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Detailed IGCSE Maths infographic by GetYourTutors explaining Upper and Lower Bounds and Error Intervals. Part 1: Finding Bounds of a Single Measurement Definition: Explains bounds as the minimum and maximum possible values before rounding. The 3-Step Method: 1. Identify accuracy unit (e.g., nearest cm). 2. Halve it. 3. Add to original for Upper Bound (UB), Subtract for Lower Bound (LB). Example: A length of 12cm (nearest cm) has an accuracy of 1cm. Half is 0.5cm. Bounds are 11.5cm (LB) and 12.5cm (UB). Notation: 11.5
igcse maths

IGCSE Maths: Degree of Accuracy, Bounds & Error Intervals

Master IGCSE Degree of Accuracy, Bounds & Error Intervals (Edexcel 4MA1 Topic 1.9)

Unlock the Higher Tier strategies for Topic 1.9: Degree of Accuracy with this definitive revision guide. We move beyond basic rounding to master the Half-Unit Rule for establishing Upper and Lower Bounds required for the Edexcel IGCSE (4MA1) syllabus. From defining rigorous Error Intervals (LB ? x < UB) to executing complex Calculations with Bounds, this guide provides the "crossed bounds" logic table needed to solve Grade 9 Max/Min problems involving subtraction and division. Learn to determine the "Suitable Degree of Accuracy" by comparing bound outcomes and avoid the common "Truncation vs. Rounding" trap to secure full marks on high-tariff estimation questions.

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