1. GCSE Higher Revision Starters 11 Module 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 26 x 56 (23)² + 49 ½ (3 + 5)(3 - 5)

5. Simplify 12 + 75 300 - 27 12 6 45 5 23 x 63 (25)² + 121 ½ (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 a)Express y in terms of x b)Calculate the value of y when x=4 c)Calculate the value of x when y=54 ____________________________ Y is inversely proportional to the square root of x. When x=144, y=2 a)Express y in terms of x b)Calculate the value of y when x=100 c)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