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