1. GCSE Higher Revision Starters 7

2. 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
( π)cm²
8cm

3. 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 = 0

4. 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

5. 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