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X747750101

X7477501

N5FOR OFFICIAL USE

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Full credit will be given only to solutions which contain appropriate working

State the units for your answer where appropriate

Write your answers clearly in the spaces provided in this booklet Additional space for answers is provided at the end of this booklet If you use this space you must clearly identify the question number you are attempting

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X7477501

THURSDAY 12 MAY

100 PM ndash 200 PM

AHTP

MathematicsPaper 1

(Non-Calculator)

X747750102Page 02

MARKS DO NOT WRITE IN

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FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=

minus plusmn minus+ + =

Sine rule sin sin sina b cA B C

= =

Cosine rule cos cos2 2 2

2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =

Area of a triangle sin12A ab C=

Volume of a sphere 343V r= π

Volume of a cone 213V r h= π

Volume of a pyramid 13V Ah=

Standard deviation s x xn

= minusminus

Σ( )2

1

or

( )22

1

xxns

n

ΣΣ minus=

minus where n is the sample size

X747750103Page 03


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1 Given p = ⎛ ⎞⎜ ⎟minus⎝ ⎠

4

6 and q =

minus minus

5

1

Find the resultant vector +1

2p q

Express your answer in component form

2 Evaluate +

3 1 24 3 7

Give your answer in its simplest form

[Turn over

2

2

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3 The diagram shows a sector of a circle centre C

20 cm

45ordmC

A

B

The radius of the circle is 20 centimetres and angle ACB is 45deg

Calculate the area of the sector

Take π = 3middot14 3

X747750105Page 05


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4 Charlie is making costumes for a school show

One day he made 2 cloaks and 3 dresses

The total amount of material he used was 96 square metres

(a) Write down an equation to illustrate this information

(b) The following day Charlie made 3 cloaks and 4 dresses


Write down an equation to illustrate this information

(c) Calculate the amount of material required to make one cloak and the amount of material required to make one dress

[Turn over

1

1

4

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5 A cattle farmer records the weight of some of his calves

The scattergraph shows the relationship between the age A months and the weight W kilograms of the calves

Age(months)

Weight(kilograms)

A

W

D

E

A line of best fit is drawn

Point D represents a 3 month old calf which weighs 100 kilograms

Point E represents a 15 month old calf which weighs 340 kilograms

(a) Find the equation of the line of best fit in terms of A and W

Give the equation in its simplest form 3

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5 (continued)

(b) Use your equation from part (a) to estimate the weight of a one year old calf

Show your working

6 Determine the nature of the roots of the function ( ) 7 5f x x x= + minus2 1

1

2

[Turn over

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7 The diagram shows a rectangular based pyramid relative to the coordinate axes

O x

z

y

B

A(200)

V(526)

bull A is the point (200)

bull V is the point (526)

(a) Write down the coordinates of B

(b) Calculate the length of edge AV of the pyramid

1

3

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8 Solve the equation

x xminus =2 52

3 6


9 The function ( )f x is defined by ( )f xx

= 2 x gt 0

Express ( )f 5 as a fraction with a rational denominator

3

2

[Turn over

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10 Sketch the graph of ( )y x= minus +23 1

On your sketch show clearly the coordinates of the turning point and the point of intersection with the yndashaxis 3

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11 Simplify

tan2 xdeg cos2 xdeg

Show your working

[Turn over

2

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12 The diagrams below show a rectangle and a triangle

All measurements are in centimetres

2x + 13x

x + 8 ( )2 5x +

(a) Find an expression for the area of the rectangle

(b) Given that the area of the rectangle is equal to the area of the triangle show that x2 minus 2x minus 8 = 0

1

3

X747750113Page 13


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12 (continued)

(c) Hence find algebraically the length and breadth of the rectangle

[END OF QUESTION PAPER]

3

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ADDITIONAL SPACE FOR ANSWERS

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X747750201

X7477502

N5FOR OFFICIAL USE


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copy

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Forename(s) Surname


YearDay Month




You may use a calculator






X7477502

THURSDAY 12 MAY

220 PM ndash 350 PM

AHTP

MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =





Standard deviation ( )2

1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


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1 A drinks manufacturer is reducing the sugar content of one of their fizzy drinks by 8 per year over the next 3 years

The sugar content of a standard can is currently 35 grams

Calculate the sugar content of a standard can after 3 years

2 A pollen sample weighs 12 grams

and contains 1middot5 times 109 pollen grains

Calculate the weight of one pollen grain in grams

Give your answer in scientific notation

3

2

[Turn over

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3 The diagram below shows parallelogram ABCD

A B

D C

v

u

AB represents vector u and BC represents vector v

Express BD in terms of u and v

4 Factorise fully 3x2 minus 48

1

2

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5 The diagram below shows a circle centre O

D

E

O

C

A

B143deg

bull ABandCBaretangentstothecircle

bull ACandEDareparallel

bull AngleAODis143ordm

Calculate the size of angle ABC 3

[Turn over

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6 Jack called his internet provider on six occasions to report connection problems

On each occasion he noted the length of time he had to wait before speaking to an adviser

The times (in minutes) were as follows

13 16 10 22 5 12

(a) Calculate the mean and standard deviation of these times 4

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6 (continued)

(b) Sophie also called the same internet provider on several occasions to report connection problems

Her mean waiting time was 15 minutes and the standard deviation was 4middot3 minutes

Make two valid comments comparing Sophiersquos waiting times with Jackrsquos waiting times

[Turn over

2

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7 A carton is in the shape of a large cone with a small cone removed

The large cone has diameter of 32 cm and height 24 cm

The small cone has diameter of 18 cm and height 13middot5 cm

24 cm

135 cm18 cm

32 cm

Calculate the volume of the carton

Give your answer correct to 2 significant figures 5

X747750209Page 09


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8 A set of stepladders has legs 150 centimetres and 140 centimetres long

When the stepladder is fully open the angle between the longer leg and the ground is 66deg

66deg xdeg

150 cm 140 cm

Calculate xdeg the size of the angle between the shorter leg and the ground 3

[Turn over

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9 Express x2 + 8x minus 7 in the form ( )2x a b+ +

10 Simplify ( )n nminustimes32 10

Give your answer with a positive power

2

3

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11 Two pictures are mathematically similar in shape

60 cm

100 cm

The cost of each picture is proportional to its area

Thelargepicturecostspound13∙75

Find the cost of the small picture 3

[Turn over

X747750212Page 12


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12 Change the subject of the formula L kt p= minus4 to k

13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1

as a single fraction in its simplest form

3

3

X747750213Page 13


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14 Solve the equation 2 tan xdeg + 5 = minus4 for 0 360xle le

[Turn over

3

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15 This perfume bottle has a label in the shape of part of a circle

Label

A diagram of the label is shown below

9 cm

height of label

6∙6 cm

A B

O

bull ThecentreofthecircleisO

bull ThechordABis9centimetres

bull TheradiusOBis6∙6centimetres

Find the height of the label 4

X747750215Page 15


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16 In the diagram below

bull DEisperpendiculartoAC

bull AD= 4 centimetres

bull DB= 6 centimetres

bull AE= EC = 3 centimetres

4 cm

3 cm 3 cm

6 cm

C

B

A

D

E

Calculate the length of BC

Give your answer correct to one decimal place 4


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FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =





Standard deviation s x xn

= minusminus

Σ( )2

1

or

( )22

1

xxns

n

ΣΣ minus=


X747750103Page 03


THIS MARGIN




4

6 and q =

minus minus

5

1


2p q


2 Evaluate +

3 1 24 3 7


[Turn over

2

2

X747750104Page 04


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20 cm

45ordmC

A

B




X747750105Page 05


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[Turn over

1

1

4

X747750106Page 06


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Age(months)

Weight(kilograms)

A

W

D

E






X747750107Page 07


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5 (continued)


Show your working


1

2

[Turn over

X747750108Page 08


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O x

z

y

B

A(200)

V(526)





1

3

X747750109Page 09


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x xminus =2 52

3 6



= 2 x gt 0


3

2

[Turn over

X747750110Page 10


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X747750111Page 11


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11 Simplify

tan2 xdeg cos2 xdeg

Show your working

[Turn over

2

X747750112Page 12


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2x + 13x

x + 8 ( )2 5x +



1

3

X747750113Page 13


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12 (continued)



3

X747750114Page 14


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X747750115Page 15


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X747750116Page 16


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X747750201

X7477502

N5FOR OFFICIAL USE


Number of seat

Town

copy

Mark

Full name of centre

Forename(s) Surname


YearDay Month










X7477502

THURSDAY 12 MAY

220 PM ndash 350 PM

AHTP

MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


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D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


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13 16 10 22 5 12


X747750207Page 07


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6 (continued)




[Turn over

2

X747750208Page 08


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24 cm

135 cm18 cm

32 cm



X747750209Page 09


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66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


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2

3

X747750211Page 11


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60 cm

100 cm




[Turn over

X747750212Page 12


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13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


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[Turn over

3

X747750214Page 14


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Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


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4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


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X747750217Page 17


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X747750218Page 18


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X747750219Page 19


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X7477502200


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X747750103Page 03


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4

6 and q =

minus minus

5

1


2p q


2 Evaluate +

3 1 24 3 7


[Turn over

2

2

X747750104Page 04


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20 cm

45ordmC

A

B




X747750105Page 05


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[Turn over

1

1

4

X747750106Page 06


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Age(months)

Weight(kilograms)

A

W

D

E






X747750107Page 07


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5 (continued)


Show your working


1

2

[Turn over

X747750108Page 08


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O x

z

y

B

A(200)

V(526)





1

3

X747750109Page 09


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x xminus =2 52

3 6



= 2 x gt 0


3

2

[Turn over

X747750110Page 10


THIS MARGIN



X747750111Page 11


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11 Simplify

tan2 xdeg cos2 xdeg

Show your working

[Turn over

2

X747750112Page 12


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2x + 13x

x + 8 ( )2 5x +



1

3

X747750113Page 13


THIS MARGIN

12 (continued)



3

X747750114Page 14


THIS MARGIN


X747750115Page 15


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X747750116Page 16


THIS MARGIN


X747750201

X7477502

N5FOR OFFICIAL USE


Number of seat

Town

copy

Mark

Full name of centre

Forename(s) Surname


YearDay Month










X7477502

THURSDAY 12 MAY

220 PM ndash 350 PM

AHTP

MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


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D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


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6 (continued)




[Turn over

2

X747750208Page 08


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24 cm

135 cm18 cm

32 cm



X747750209Page 09


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66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


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X747750217Page 17


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X747750218Page 18


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X747750219Page 19


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X747750220Page 20


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X747750104Page 04


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20 cm

45ordmC

A

B




X747750105Page 05


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[Turn over

1

1

4

X747750106Page 06


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Age(months)

Weight(kilograms)

A

W

D

E






X747750107Page 07


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5 (continued)


Show your working


1

2

[Turn over

X747750108Page 08


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O x

z

y

B

A(200)

V(526)





1

3

X747750109Page 09


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x xminus =2 52

3 6



= 2 x gt 0


3

2

[Turn over

X747750110Page 10


THIS MARGIN



X747750111Page 11


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11 Simplify

tan2 xdeg cos2 xdeg

Show your working

[Turn over

2

X747750112Page 12


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2x + 13x

x + 8 ( )2 5x +



1

3

X747750113Page 13


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12 (continued)



3

X747750114Page 14


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X747750115Page 15


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X747750116Page 16


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X747750201

X7477502

N5FOR OFFICIAL USE


Number of seat

Town

copy

Mark

Full name of centre

Forename(s) Surname


YearDay Month










X7477502

THURSDAY 12 MAY

220 PM ndash 350 PM

AHTP

MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


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X747750105Page 05


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[Turn over

1

1

4

X747750106Page 06


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Age(months)

Weight(kilograms)

A

W

D

E






X747750107Page 07


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5 (continued)


Show your working


1

2

[Turn over

X747750108Page 08


THIS MARGIN


O x

z

y

B

A(200)

V(526)





1

3

X747750109Page 09


THIS MARGIN


x xminus =2 52

3 6



= 2 x gt 0


3

2

[Turn over

X747750110Page 10


THIS MARGIN



X747750111Page 11


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11 Simplify

tan2 xdeg cos2 xdeg

Show your working

[Turn over

2

X747750112Page 12


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2x + 13x

x + 8 ( )2 5x +



1

3

X747750113Page 13


THIS MARGIN

12 (continued)



3

X747750114Page 14


THIS MARGIN


X747750115Page 15


THIS MARGIN


X747750116Page 16


THIS MARGIN


X747750201

X7477502

N5FOR OFFICIAL USE


Number of seat

Town

copy

Mark

Full name of centre

Forename(s) Surname


YearDay Month










X7477502

THURSDAY 12 MAY

220 PM ndash 350 PM

AHTP

MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750106Page 06


THIS MARGIN



Age(months)

Weight(kilograms)

A

W

D

E






X747750107Page 07


THIS MARGIN

5 (continued)


Show your working


1

2

[Turn over

X747750108Page 08


THIS MARGIN


O x

z

y

B

A(200)

V(526)





1

3

X747750109Page 09


THIS MARGIN


x xminus =2 52

3 6



= 2 x gt 0


3

2

[Turn over

X747750110Page 10


THIS MARGIN



X747750111Page 11


THIS MARGIN

11 Simplify

tan2 xdeg cos2 xdeg

Show your working

[Turn over

2

X747750112Page 12


THIS MARGIN



2x + 13x

x + 8 ( )2 5x +



1

3

X747750113Page 13


THIS MARGIN

12 (continued)



3

X747750114Page 14


THIS MARGIN


X747750115Page 15


THIS MARGIN


X747750116Page 16


THIS MARGIN


X747750201

X7477502

N5FOR OFFICIAL USE


Number of seat

Town

copy

Mark

Full name of centre

Forename(s) Surname


YearDay Month










X7477502

THURSDAY 12 MAY

220 PM ndash 350 PM

AHTP

MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750107Page 07


THIS MARGIN

5 (continued)


Show your working


1

2

[Turn over

X747750108Page 08


THIS MARGIN


O x

z

y

B

A(200)

V(526)





1

3

X747750109Page 09


THIS MARGIN


x xminus =2 52

3 6



= 2 x gt 0


3

2

[Turn over

X747750110Page 10


THIS MARGIN



X747750111Page 11


THIS MARGIN

11 Simplify

tan2 xdeg cos2 xdeg

Show your working

[Turn over

2

X747750112Page 12


THIS MARGIN



2x + 13x

x + 8 ( )2 5x +



1

3

X747750113Page 13


THIS MARGIN

12 (continued)



3

X747750114Page 14


THIS MARGIN


X747750115Page 15


THIS MARGIN


X747750116Page 16


THIS MARGIN


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X7477502

THURSDAY 12 MAY

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MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750108Page 08


THIS MARGIN


O x

z

y

B

A(200)

V(526)





1

3

X747750109Page 09


THIS MARGIN


x xminus =2 52

3 6



= 2 x gt 0


3

2

[Turn over

X747750110Page 10


THIS MARGIN



X747750111Page 11


THIS MARGIN

11 Simplify

tan2 xdeg cos2 xdeg

Show your working

[Turn over

2

X747750112Page 12


THIS MARGIN



2x + 13x

x + 8 ( )2 5x +



1

3

X747750113Page 13


THIS MARGIN

12 (continued)



3

X747750114Page 14


THIS MARGIN


X747750115Page 15


THIS MARGIN


X747750116Page 16


THIS MARGIN


X747750201

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X7477502

THURSDAY 12 MAY

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MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750109Page 09


THIS MARGIN


x xminus =2 52

3 6



= 2 x gt 0


3

2

[Turn over

X747750110Page 10


THIS MARGIN



X747750111Page 11


THIS MARGIN

11 Simplify

tan2 xdeg cos2 xdeg

Show your working

[Turn over

2

X747750112Page 12


THIS MARGIN



2x + 13x

x + 8 ( )2 5x +



1

3

X747750113Page 13


THIS MARGIN

12 (continued)



3

X747750114Page 14


THIS MARGIN


X747750115Page 15


THIS MARGIN


X747750116Page 16


THIS MARGIN


X747750201

X7477502

N5FOR OFFICIAL USE


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X7477502

THURSDAY 12 MAY

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AHTP

MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750110


THIS MARGIN



X747750111Page 11


THIS MARGIN

11 Simplify

tan2 xdeg cos2 xdeg

Show your working

[Turn over

2

X747750112Page 12


THIS MARGIN



2x + 13x

x + 8 ( )2 5x +



1

3

X747750113Page 13


THIS MARGIN

12 (continued)



3

X747750114Page 14


THIS MARGIN


X747750115Page 15


THIS MARGIN


X747750116Page 16


THIS MARGIN


X747750201

X7477502

N5FOR OFFICIAL USE


Number of seat

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copy

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YearDay Month










X7477502

THURSDAY 12 MAY

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AHTP

MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750111


THIS MARGIN

11 Simplify

tan2 xdeg cos2 xdeg

Show your working

[Turn over

2

X747750112Page 12


THIS MARGIN



2x + 13x

x + 8 ( )2 5x +



1

3

X747750113Page 13


THIS MARGIN

12 (continued)



3

X747750114Page 14


THIS MARGIN


X747750115Page 15


THIS MARGIN


X747750116Page 16


THIS MARGIN


X747750201

X7477502

N5FOR OFFICIAL USE


Number of seat

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copy

Mark

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YearDay Month










X7477502

THURSDAY 12 MAY

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AHTP

MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750112


THIS MARGIN



2x + 13x

x + 8 ( )2 5x +



1

3

X747750113Page 13


THIS MARGIN

12 (continued)



3

X747750114Page 14


THIS MARGIN


X747750115Page 15


THIS MARGIN


X747750116Page 16


THIS MARGIN


X747750201

X7477502

N5FOR OFFICIAL USE


Number of seat

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copy

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YearDay Month










X7477502

THURSDAY 12 MAY

220 PM ndash 350 PM

AHTP

MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750113


THIS MARGIN

12 (continued)



3

X747750114Page 14


THIS MARGIN


X747750115Page 15


THIS MARGIN


X747750116Page 16


THIS MARGIN


X747750201

X7477502

N5FOR OFFICIAL USE


Number of seat

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copy

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YearDay Month










X7477502

THURSDAY 12 MAY

220 PM ndash 350 PM

AHTP

MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750114


THIS MARGIN


X747750115Page 15


THIS MARGIN


X747750116Page 16


THIS MARGIN


X747750201

X7477502

N5FOR OFFICIAL USE


Number of seat

Town

copy

Mark

Full name of centre

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YearDay Month










X7477502

THURSDAY 12 MAY

220 PM ndash 350 PM

AHTP

MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750115


THIS MARGIN


X747750116Page 16


THIS MARGIN


X747750201

X7477502

N5FOR OFFICIAL USE


Number of seat

Town

copy

Mark

Full name of centre

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YearDay Month










X7477502

THURSDAY 12 MAY

220 PM ndash 350 PM

AHTP

MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750116


THIS MARGIN


X747750201

X7477502

N5FOR OFFICIAL USE


Number of seat

Town

copy

Mark

Full name of centre

Forename(s) Surname


YearDay Month










X7477502

THURSDAY 12 MAY

220 PM ndash 350 PM

AHTP

MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





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13 16 10 22 5 12


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6 (continued)




[Turn over

2

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24 cm

135 cm18 cm

32 cm



X747750209Page 09


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66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


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2

3

X747750211Page 11


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60 cm

100 cm




[Turn over

X747750212Page 12


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13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


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Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


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4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


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X747750201

X7477502

N5FOR OFFICIAL USE


Number of seat

Town

copy

Mark

Full name of centre

Forename(s) Surname


YearDay Month










X7477502

THURSDAY 12 MAY

220 PM ndash 350 PM

AHTP

MathematicsPaper 2

X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750202Page 02

FORMULAE LIST

The roots of ( )2

2 40 are

2 x

b b acax bx c

a=



= =


2 2 2 2 or2

b c aa b c bc A Abc

+ minus= + minus =






1

x xsn

Σ minus=minus

or

( )22

1

xxns

n

ΣΣ minus=


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750203Page 03


THIS MARGIN










3

2

[Turn over

X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750204Page 04


THIS MARGIN


A B

D C

v

u




1

2

X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220


THIS MARGIN


X747750205Page 05


THIS MARGIN


D

E

O

C

A

B143deg





[Turn over

X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750206Page 06


THIS MARGIN




13 16 10 22 5 12


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750207Page 07


THIS MARGIN

6 (continued)




[Turn over

2

X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750208Page 08


THIS MARGIN




24 cm

135 cm18 cm

32 cm



X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750209Page 09


THIS MARGIN



66deg xdeg

150 cm 140 cm


[Turn over

X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750210Page 10


THIS MARGIN




2

3

X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750211Page 11


THIS MARGIN


60 cm

100 cm




[Turn over

X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750212Page 12


THIS MARGIN


13 Express

x x+

minus +3 52 1

x ne 2 x ne minus1


3

3

X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750213Page 13


THIS MARGIN


[Turn over

3

X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750214Page 14


THIS MARGIN


Label


9 cm

height of label

6∙6 cm

A B

O





X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750215Page 15


THIS MARGIN






4 cm

3 cm 3 cm

6 cm

C

B

A

D

E




X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750216Page 16


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


X747750219Page 19


THIS MARGIN


X747750220Page 20


THIS MARGIN


X747750217Page 17


THIS MARGIN


X747750218Page 18


THIS MARGIN


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THIS MARGIN


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4XDOLÛFDWLRQV 2016 - SQA · Express your answer in component form. 2. Evaluate ... 4XDOLÛFDWLRQV...

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Transcript of 4XDOLÛFDWLRQV 2016 - SQA · Express your answer in component form. 2. Evaluate ... 4XDOLÛFDWLRQV...