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# (GCSE) AQA Level 2 Further Maths Paper 1 (Non-Calc) 8360/1 20/06

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1. 1) Expand and differentiate 3x^2-20x
2) Multiply out matrices to equal the matrix given and solve a=3 b=-20
3) n=12
b) 3/5

4) (-5, 8)
b)root'10'

Graph question with turning point at y=0
--> coordinates of minimum were (3,0)
--> k = 9

(3-root'x' ) ^1/3 = -2
x = 121

sinx = root'11'/6
cosx = +/- 5/6 (not sure whether it's just -5/6 because obtuse or plus/minus???)

A lot of 'prove that' questions... you'll know if you've got those.
--> prove that triangle is isosceles
--> prove that the line segments are perpendicular (prove that -1/m)

Surds question where it was root + root = root + root'x';
x = 45

Factorise x^4-81
-->(x^2+9)(x^2-9) [1 mark]
-->(x^2+9)(x-3)(x+3) [1 mark]

--> x = 39

7) Write out the integer values, lose one mark for writing it as a range rather than integer values: 9, 10, 11

9) x^3-15x^2+75x-125

10) -80
12) h=3 k=-7
--> coordinates: (-3, -7)

14) 3a=3 a=1
b)(x+2)(x-7)(x-3)

15) 2 root'7' -4

I'm missing loads here, please comment and feel free to add or correct anything. How'd you think it went?

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