Further Maths Revision (* non-calc) keep repeating prior to exam, guarantee at least a B!

1*

Simplify

2*

Rationalise

3

Factorise x - 64

4

Factorise 3x + 8x - 3

5

Factorise fully x - 4x

6

Make h the subject

A = r+2rh

7

Make x the subject y =

8

Prove that

(y+6)(y+3) - y is a multiple of 9

When y

9

Simplify x

10

Find a and b such that

x + 8x + 10 + b

11

f(x) = x + 5x -1 work out

i) f(-3) ii)f(3x) iii)f(x-2)

12

Work out the Range,

where Domain is

f(x) = x

13

Calculate

i) the gradient between A(-3,7) B(2,-6)

ii) the equation of this line

iii)the gradient of the normal

14

Find the gradient & intercept of

2x + y 4 = 0

15

Draw the graph of y = f(x) where

f(x) = 4

= x

= 8 2x

16

Solve the following, using

3x + 5x + 1 = 0

17

Solve

2x + y = 8

5x + 2y = 21

18

Expand

19

Given that

f(x) = x+x-4x-4

i) show (x+1) is a factor

ii) factorise f(x)

iii) solve f(x) = 0

20

Solve

Y 4 3y 12

21*

Solve = 27

22

Find the nth term of 3 6 13 24 39

23

The nth term of a sequence is

i) work out the first 3 terms

ii) find the limiting value as n

24

A straight line DEF has points

D(4,3) E(8,5) DE:EF is 2:3

Find co-ordinates of F

25

(x-3) + (y+2) = 36 find the Centre &

Radius of the circle

26

Work out x

AB is a diameter

27

Prove that triangle ABD is isosceles

AB is a tangent at B

ADC is a straight line AB = BC

28*

Demonstrate

29

Find x

Use

30

Find

Use

31

Solve for 0

i)tan x =

ii)3Cos = 2

iii)

32

Solve for 0

2Sin + Cos = 0

Use

33

Re-write the equation as a quadratic with only one trigonometric function

Sin

Use

34

Prove the identity

Use

35

Differentiate

i) y=3x

ii)y=4x + 2x 5

36

Find the gradient of

Y=x+2x+4 at a tangent at A(3,2)

37

Y=x-7 find the co-ordinates when gradient = 6

38

The sketch shows y=5x-x

Find

i)the gradient function

ii)the gradient of curve at P

iii)the equation of the normal at P

39

B =

Find i) 4A ii) AB

iii) Write the Identity matrix

I =

40

Sketch the graph

y=Sin