Year 11 2U Car Ling Ford High School + Answers

8/3/2019 Year 11 2U Car Ling Ford High School + Answers

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Carlingford ighSchool

MathematicsYear11

2 Unit

Term12006TimeAllowed: 55 minutes

Name:. .

o Starteachquestionon a new Page.o Write on ONE SIDE of thepaperonly'

o Marks maybe deducted or careless r badly arrangedwork'

o only calculators pprovedby the Boardof Studiesmay be used.

o All answers re o be completedn blueor blackpen exceptgraphsanddiagrams'

o Thereshouldbe NO LENDING OR BORROWING'

Mathematics2 unit Preliminary OutcomesA student:pl demonstratesonfidencen usingmathematicso obtain ealisticsolutions o problems

pZ provides easoningo supportconclusionswhich areappropriateo the context

p3 performs outinemtn*.ti. andalgebraicmanipulation nvolving surds,simple

rationalexpressions nd rigonometric dentitiesp4 chooses ndappliesappropriate rithmetic,algebraic, raphical, rigonometricand

geometric echniquesp5 understandshe cbnceptof a functionand he relationship etweena functionand ts

gaphp6 ietates he derivativeof a function o the slopeof its gaph

p7 determineshe derivativeof a function hrough outineapplicationof therules of

differentiationp8 understands nduses he anguage ndnotationof calculus

ol 02 o3 Q4 Qs Q6 Q7 Total Mark

P1P2P3

aJ

4 42

P4 2 6 8

P5P6

P7P8Mark

5 5 5 5 l0 l0 l0 50



Yl l 2unitMathematicsTerm1 2006

QUESTION (5marks)

(a ) Evaluate :.So x L6 x 103 Give your answern scientificnotation,

correct o 3 significant igures.

Evaluatel-: l+o tzl- tol

A plumbercharges 544.50 or a ob which ncludes GST of 10%.

Find thecost,excluding he GST.

QUESTION2 (5 marks) STARTA NEW PAGE

(a) Whichof these umbers re ational?

) -

3

Write 0.23 asabasic raction.

Thedistanceo thevisiblehorizons givenby the ormulaD = 5^l+\2

whereD is thedistanceo thevisiblehorizon,n kilometres ndh is

theheightabove eaevel,measuredn metres.f h:210 metresinda value or D, correcto 2 decimal laces.

t ) 1L - J

t1 lb)

(c )

(b)

(c)

t2)

t l l

12)

l2l

QUESTION (5marks) STARTA NEWPAGE

(a) Findavalue orm f Ji = sJi

(b) Simplify, leavingyour answer n surd orm,

(c ) Evaluate r.6|

(d) Rationalise -r /3+1

- 6.lt"sJi

t l l

t l l

t l l

12)

Page of3



Yl I 2unitMathematics

Term12006

QUESTION4 (5 marks) STARTA NEW PAGE

(a) SimPlifo6-2(4x +1)

2a+4(b) SimPlifY - a + I

) 1

Simp l i fY '' - + -

'x -5 x+3

, x t -6x+9 -x t -5x+6Simpl i ty T

_25=;,

*4=

QUESTION5 (10marks) STARTA NEW PAGE

tzl

t2l

l2l

t4l

(c )

(d)

(a ) Factorise:

(b ) Factorise:

(c) Factorise:

(d) Factorise:

(e ) Factorise:

(0 Factorise:

Solve

Solve

Solve

5mz 15m-25mn

69+18- gh-3h

*2 -2m-15

2y ' *3y -2

gxz -76

5k3 5000

t2l

t2)

t l l

l2l

t l l

t2)

QUESTION6 (10marks) STARTA NEW PAGE

(a ) Solve: 3(3r+ 1)= 4( r+ 8)

(b) SolvesimultaneouslY:

t2)

a+9b=53

a+23b=109 t2l

l2l

Lzl

tzl

(c)

(d )

(e )

J +

I r l n

l x - : ;= r

x + 7 < 3 andgraphyour solutionon a number ine'

x -5 .x+1

Page2of3



Y11 2unitMathematics

Term I 2006

QUESTION 7 (10 marks) - START A NEW PAGE

(a) Solver(-t - 5) = Q

(b) Complete he squareor theexpression 2 +8x'

(c) Solve t + -r- I = 0 , leavingyour answer n surd

(d) Find thepoint of intersection f thetwo curvesy

t l l

l l l

r a ' lLLJorm.

=x '+1 and

- f=31+5 '

(e) A rectanglehaswidth 2 metres ess han ts lengthand

What are ts dimensions?

its area s 99m2

t3l

t3l

Page of3



2 unt+ Yeo. Term | 2006

Sqesf ro n I Chen

a) + 'qo x @

b) l-s[ * fa-rrl {,ol

: 3+b- tg= - l o

c) r oo/o $s44.so

rd7"=$4q.so

roo]o= $+qg @

,2 _Mr

J-zs o

L- - o .233) . . .

tO )c= 2 ,73 71 " '

1* = 2.1

x : 2 lqo

-l

)c: s

c) D = 5J{

D=5,fry

qttre nz.?.a)

b)

@

si]G o5 t .23 -415383

5t. 27km 6:ap)

o

rQ 'ueshon 3

a) 16 = s{a-

=J6

rn=5(J

My*elbe'I

b)-bJ:xsJL=-3oJE

= 12

o

o

o

rl-s+trE! = . ,Q-t

€- t

euest ron Zl - MrS Youn

a) te- z(ax+t )

=b -8 l t - 2 -

= 4-8x '

b) 2o+4

a+2

= z@f)a/z

=L

. \ a rL , 1 J I

-x--9x+3

z(x+}) + (r- s)-ffiD

2,x_++ - 5

(z-- sf,r-+ )

3a+ |

[5P+r)

e) co)'

c)

oo

o

o

o

C



uestron 4 [cont)

d) r-'-6r. +q 1,

r--zs

*-zY*l>) x(y'-t\x-z)

t ron 5 Mr C*tan

Srnt+ 5m-25mn

=5m(nl+3-5n)

Qu€:fron b (cora+)

b) a+9b=5v Oa+23b:tol- O

@-0 t4b= 5b

b=4

or?b =5v @a-_11

c) +-+ =st r ( f ) - r2g:D= Sx 12

34

4 Cx-s)-e(zc+,) = boIr-zo-Vt-) z bO

T-27=6o

?( =83 O

d) lz-:1= 1

) ( -3 = - J o f r - - , -= -1

,c - - l o r= - *

@e) !+J -< 3

)c -< +

1 t ia L r )- r+ -3 -2

*-- 5*+ b

z-L+4x-5

(*y!r*-aC,/s)(*-3tclj

€-tX*-t)

o)

@

@

bg+r8-gh-3h

b(g+?) - h(gnr)

cbh)ca+)

c) rn2-2rn- tg

('n - slrn+ l)

2U'* 3 j - 2

(zy-,XJ z)

1r=- rb

[ex-+)(ex+"4)

5k3-sooo

= 5 (L3- tooo)

= 5 (k-rof ,k t+ to l(+ oo)

-- t

b Mr Arbtaster I

a) l?t+r) =

9t+:

5tt

b)

d)

f1

e)

oo

+Ct+e)

4t+72

z1nI



q) rLa-S) = o

b)

a = o oc 5

12+ gr + lb

C) )c t+ :c - l =Q

a-

lle)

2C')

r=-Ez

d ) u= r .2+ lJ

g=3x+5

f+r =3: t+S

t'-e*-,+ =Q= Q

L - - - l oc

At r:- l y= 2

N+ -- + 5= t'?

Sotvtron C- ,>)

o

0

qnd Cnr,S

t - 2

* (*-z) = 9!

t-zx- -qq = o

fr,-tt)(**q)=o

L' - -1ot t l

. . drvrtertgtong are ltrn r 9nt .

Year 11 2U Car Ling Ford High School + Answers

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