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Module 5 Paper 2 Higher Tier June 2008PowerPoint Presentation

Module 5 Paper 2 Higher Tier June 2008

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Module 5 Paper 2 Higher Tier June 2008

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2x = 11

x = 5.5

13 - 5y = 12

13 – 12 = 5y

5y = 1

13 - 5y = 4 x 3

6 Marks

y = ⅕ or 0.2

2 Marks

Sum: 25 + 33 + 34 + 35 = 127

n + 9

n + 10

n + n + 8 + n + 9 + n + 10 = 4n + 27

4n is always even.

27 is an odd number

Even + Odd = Odd

6 marks

Exterior angle of regular Octagon = 360 ÷ 8 = 45⁰

Exterior angle of regular Pentagon = 360 ÷ 5 = 72⁰

Angle a = 45 + 72 = 117⁰

4 Marks

2 Marks

B

Area of A is 3 x 2 = 6cm2

Area of B is 9 x 2 = 18cm2

Area of cross section is 18 + 6 = 24cm2

Volume of block is area of cross section x length:

24 x 65 = 1560 cm3

5 Marks

3 marks

MC = OA (=a) –equal and parallel

Hence AC = OM (and parallel)

If opposite sides are equal and parallel then OACM is a parallelogram

2 Marks

Multiply every term by x ( x – 2 )

4 ( x – 2 ) + 3x = x ( x – 2 )

4x - 8 + 3x = x2 - 2x

Collect terms together on one side and simplify

x2 - 9x + 8 = 0

x = 1 or x = 8

Factorise

5 Marks

( x - 1 ) ( x – 8 ) = 0