GCSE Higher Revision Starters 7

Grade D/C – calculating areas Calculate the size of the shaded area 4cm 60cm² - 36cm² = 24cm² 6cm 10cm Area of circle = 36π Area of trapezium = 50 Shaded area = (36π – 50)cm² Give your answer in terms of π 12cm 5cm 8cm Give your answer in terms of π (256 - 64π)cm² 8cm

Grade B – Solving quadratics (x + 7)(x + 5)= 0 x=-7, x=-5 x² + 12x + 35 = 0 (x + 5)(x - 4)= 0 x=-5, x=4 x² + x – 20 = 0 (x - 12)(x - 3)= 0 x=12, x=3 x² - 15x + 36 = 0 (x - 11)(x + 11)= 0 x=11, x=-11 x² - 121 = 0

Grade B – Volume Vol = 240cm³ 30 cubes 800π cm³ What is the volume of the cuboid? How many 2cm cubes will fit inside the cuboid? 30 cubes 6cm 4cm 10cm Give the volume in terms of π 800π cm³ 8cm 20cm Area of triangle = 24cm² Vol = 24 x 3 = 72cm³ 6cm 3cm 8cm

Grade B – Solving simultaneous equations x=2, y=3 3x + 4y = 18 2x + 5y = 19 5x + 2y = 26 2x + 3y = 6 x=6, x=-2 4x + 5y = 48 3x - y = 17 x=7, x=4