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GCSE Higher Revision Starters 11 Module 3 and 5 Revision

Enhance your math skills with these GCSE higher revision starters covering factorizing, solving equations, proportionality rules, and percentage calculations. Practice simplifying expressions and solving problems to boost your understanding of algebraic concepts.

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GCSE Higher Revision Starters 11 Module 3 and 5 Revision

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  1. GCSE Higher Revision Starters 11Module 3 and 5 Revision

  2. Factorise then solve the following x² + 11x + 30 = 0 x² - 14x + 48 = 0 x² - 4x – 12 = 0 x² + 3x – 40 = 0 x² - x – 56 = 0 x² + 23x + 22 = 0 x² - 121= 0 4x² - 25= 0

  3. Simplify x² + 8x + 15 x² + 3x - 10 x² - x - 30 x² – 25 x² + x - 20 2x² - 5x - 12

  4. Simplify √200 + √18 √45 - √20 21 √3 16 √2 2√6 x 5√6 (2√3)² + 49½ (√3 + 5)(√3 -5)

  5. Simplify √12 + √75 √300 - √27 12 √6 45 √5 2√3 x 6√3 (2√5)² + 121½ (√3 + 2)(√3 + 8) Show that (√3 + 5)(√3 - 5) equals -22

  6. Higher • Y is directly proportional to the square of x. When x=10, y=600 • Express y in terms of x • Calculate the value of y when x=4 • Calculate the value of x when y=54 • ____________________________ • Y is inversely proportional to the square root of x. When x=144, y=2 • Express y in terms of x • Calculate the value of y when x=100 • Calculate the value of x when y=4

  7. A box increases in weight from 700g when empty to 1.6kg when full. What is the percentage increase in weight? Express 3x10² as a percentage of 1.6x10³ A car depreciates by 9% per year. It originally cost £24000. How much will it cost in 3 years time? Round your answer to 3 significant figures

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