157

159

"Name

Class

Mathematics

Paper 1

Clementi J'own Secondary SchoolEnd-of-Year Exami nation ?01 3

Secondary 1 Express

Register Number

30 September 2Ai3

t hour

FOR EXAMINER'S. USE

/s0

Candidates answer on the euestion paper.

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READ THESE INSTRUCTIONS FIRST

Do not open the booklets untilyou are told to do so.write your name, register number and crass on ail the r,vork you hancJ in.Write in dark blue or black pen.Do not use stapres, paper crips, highlighters, grue or correction fruid.

Answer all questions.write your answers.in the spaces provided on the question paper.lf working is needed tor any question, it must be shown with the answers_omission of essentiar working wirr resurt in toss of markslf the degree of accuracy is not specified in the qru"ii"n, and if the answer is not exact, givethe answers to 3 significant figures. Give answui" i, o"gree to 1 decimal.place.

CALCULATORS ARE NOT ALLOWED TO BE USED IN THIS PAPER.

Thernumber of marks is given in brackets I J at the end of each question or part questionThe total number of marks for this paper is S0.

This question paper consists of 9 printed pages, including this cover page-

lTurn over]til

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158

?Mathemalics I Pager 1 Secondary 1 Express

Ct"rn"nti Torr^ SeJonaary ScnoorEnC-of-Yea r Examinat;on 201 3 t60

Answer all the questions in the spaces provided

I Estimate Jsn +220.5, giving your answer colrect to one significant figure

Ansv,er

? (a) Find the Iiacrion that is exactly between 1 unO 1.il Il

(b) Express Z I us a recurling decimal

L2]

.. ... t11

I

Answer (r)

(b) . , trl

J Evaluate -rs-[lE] t*;lJJg +g

.....,.....t2]Answer

a

lSri

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159

JI51 Clementi Town SeCondary School

End-of-Year Examinatioo 20 1 3 Secondary 1 Exprgs5 Mathematics / Paeer 1

4 Evaluale (p - q)'x (r + pc)3, given rharp : -2, q =3 and r : 5

Answer

lf a : b=3: I landb:.= l r3, Irnd therario of a ; b : c2

(b) the greatest possible value of a +]b

12)

.t2)Ansu,er

6 Given thataand D are integerssuch that * l <.a <5 and - 4<bs-1, find

(a) the least possible value of azb ,

Answer (a) t1l

lrl

-:'

o)

flri:- -.*rerI' ; l lr"le

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160 I

Clementi Town Secondary SchoolEnd-ot-Year Examinatioo 2013

4Mathematics I Paper I Secondary 1 Express

162

1 A plane travelled a distance of 800 km lo.lapan ar 400-k,rnih.

It had to stop to refuel for 2 lrour before flying ro Los Angeles_

It then travelled at 800 km/h for the flight to Los r\ngeies for lhe nexr 8 lrours.

Find the average speed for (he whole Joumey.

Ans'tver

B The first five terrrls of a sequence are 9, 16,2.5,36,49, --....

Write down

(a) tlre next tcrxt in the sequcnce,

(b) the n'l' tern'l in the sequence,

(c) the 25rr' temr in lhe sequence.

(a)

(b)

(c)

-,..-..km/h [2J

a

Ansyyer tll

trl

ttl

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161

Clementi Town Secondary SchoolEnd-of^Year Examination 20't 3 Secondary 1 Express

5i53lvlsthematics I Papet 1

9 (a) Express '184 as a product of its prime factors, giving your ans\.ver rn index notation-

(b) Hence, find rhe ,u1,," offig400.

Answer (a) 784:- . .. .. tZJ

%

. . Irl10 In a sale, tlre price of a handbag rvas reduc edby 2Ao/oof its originai price ro $2g0.

(a) Find the original price of the hanclbag.

(b) Lydia bought the handbag on tlte Iast clay of the sale, rvlrere there rvas a Jirrlher l0%o

discount on the saie price.

Find the total percenrage discount_

tlI

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162

bMalhemalics I Paper I Secondary 't Express

Clementi Town Secondary SchoolEnd-of-Year Examination 2O.1 3 164

lI (a) Fxpand and simpiif,y -2[3p--gp-Sq)-Zep-afi].

(b) Factorise completely Ztxy +l4y - 2|yz .

Answer k0

(o)

12 ABCDE is part of a regular n-sided polygon

CDIIIJ and DEFGI-I are regular penragons-

t3l

.. til

BA

Find

(a) LCDE,

(b) the value ofn.

lr

Answer b) ZCDE --

F

t2)

tzl

a

(b) n:

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163

1 G 5 _Clemeoti To,ryn Seconota.y ScioofEnd-of-Year Examinalion 20 I 3 Secondary I Express

l3 Tire grapl) berow shows the poirr C and the straight rines AB and DE.(a) Find the gradienr of tine AB.

(b) Write down

(i) the equarion of line AB,

(ii) the equarion of tine DE,

(iii)rhe ceordinates of point C

v

7

D

6 B 10 12 14 16 18 2A 22 24 26 2e

Maihernal;cs t paper 1

x

7

6

--4

--J

2

-1

€ -4 -zO

E

Answer (a)

(b)(, ._......... t1l

2

'c-_n

-

163,uefJ

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164

oIvlathenralics t Paper 1 Secondary 1 Express

Clementi Town Secondary SchoolEnd.of-Year Exarnination 20'l 3

14 TIre flgure shorvs a parallelogram ABCD where BC = 9 cln and CD -- 24 cm.

The perpendicular distance of D to BC is l6 cm and the perpendicular distance of D to AB is

h cm-

166

Calculate

(a) the area of the parallelogranr,

(b) the value of /r.

15 (a)Solvetheequation U+ *' .5 =046

(b)

24 cm

D

Ans>ve r kt

9 crn

B

.-.....-crn2 12)

L2)

I

(b) The surn of the ages of Sally and her cousin is 38.

Seven years ago, Saily was thrice as old as her cousin.

Find Sally's present age.

a

', /r cnr

l6 cm

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161 Clernenli Tovrn Secoridary SchoolEnd-of-Year Examinatron 20 1 3 Secondary I Ezpress

9

tulathernalics I Papet 1

l6 ln the diagran'r, DEI;, BEC and ADG are srraight lines.

.48 is parallel to DE.

lttBC = 41",I.BAD:102" atd LCDG:43"

Find the value of x, ofy and of z, stating your reasons_

F

B

v

C

G

Dtl

Answer r:---...-- " (

v: "(

) l2l

) Lzl

"(

a

End ofPaper

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17 LNan'ie

Class:

Register Number

s0

l!'.trr; *'.,er

Clementi Town Secondary SchoolEnd-of-Year Examination ZO13

Secondary 1 Express

NflATHEMATTCSPaperl 2 October 2013

t hour 30 minutesAdditional Materiars provided : writing paper, Graph paper and prain paper

CLEMENTJ TowN SECoNDARY scHooI cLEMENTt ToWN sEcoNDARY scHooI cIEMtNII TowN SECoNDARY scHooL Ct EMENII.TowN SfcoNoARY sC}IooLct EMEN rr rowN sEcoNoARY s,'oor- cieri" ii i6w^i iiio"ooHv s* 'ooi iii,i.iii iSui^ se co"onn, scxooi ctiriri , r o-* s rcoN{)ARy s. roorcr.rM€NrrrowlrsEcoNoARyscrroolcr.E&iaNr,row*iiioro^n"sc,,ooicirri*iiib*

seco*oenisiriooidiiri*i,ro_*sEcoNDARysclroorct EMENrt rowN .€.DNDARY scHoor cii"e r'rr' i6wni iiio*o^o" sc rcrol ci in irii i5** sscoroon" $i,ili ;;;#;i, , o**- s..o*,roay scHooicLEMENTT rowN sEcoNt)ARY scHoor cLer"e"ri i6wm iiio'oonv sc,,ooi ;iilil; i;;,I:.';;ffiil; l:i;331 :i5lfl+, ,o** sico,o^n" iiii66i

READ THESE INSTRUCTIONS FIRST

Do not open the booklets until you are totd to do so.write your name, register nrrnbu, and class on a[ the work you hand inWrite in dark blue or black pen on both sides of the paperDo not use stapres, paper crips, highrighters, gru. or-;rection fruid.

Answer all questions.

lf working is needed for any question it must be shown with the answer.omission of essentiarworking wirr resurt in ross of marks.Calculators should be used ,,ihere appropriate.lf the degree of accuracy

is not specified in the question, and if the answer is not exact,give the answer to three. significant figures- ' q,u rr 'rE dr 'swer

Give answers in degrees to one decimal place.For t' use either your calculator value or 3-142, unless the question requires the answerin terms of z.

At the end of the examination, fasten ail your wor.k securery together.The number of marks is given in bracketi [ ] at tn".nJ of each question or part questionThe totalnumber of marks for this paper i= Sb. -

This Question Paper consists of ..

a

i69

For Examiner's Use

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170

2lrathematics lPa1et 2 Secondary 1 Express

Clementi To'/n Secondary School

E nd-of-Year Examination 2O1 3 172

1. (a)

Answer all the questions.

43It is given that I/ = a*'

.

))Finrl the value of r when zr; -- 2p6l V = 154 -

7

Give your answer correct to 2 significant figures-

(b) The selling price of a chemicalspray is $23.40-

This price is i5o/" off tlre regular price-

Find the regular price.

2. (a) Simplifo i -i'31v)

(b) Solve the equation : -; = 0-)t

i3- Adele is x years old.

Bella is 3 years older lhan Adele

Catherine is tlvo tirnes Bella's age-

The sunr of their ages is 37.

(r) Write down an atgebraic expression tor Beila's age and Catherine's age.

(b) Form an equation for the total ages of the 3 girls

' (c) Solve the equation and find Catherine's age-

4. (a) The Great Singapore Sale is on-

Shop A and Shop B offer the following respective prornotions:

a)

t2)

L2)

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Shop A

Buy2get I lree

Shop B

Second piece at halfprice

Third piece at 600/o discount

Tammy needs to buy 3 pieces of cushion covers.

Which shop should she go to?

Justifo your answer. t3l

a

170

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Clementi Tovro Secondary SchoolI 7 3 End-of-Yea. Examination 2013 J

I Express Maihentalics,r Paget 2

{2)

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12)

(b) Consider the ntrmber paftem below

Row 1

Row ?

Row 3

3x4-lx6:64x5-2xJ=65x6-3x8=6

Row 100

Write down the number pattern in _&au, I00-

The diagrar:l shows a rhombus ABCD.AC :2A cm, angle DC\,I: J0" ancl ABE is a straighf line.

D (-

B

i.

A E

Find, statirrg your reasons,(a) the Iength of Atul,(b) ang.le x,(.) angle y,(d) angle z.

6. (a) (i) Solve fu, -!63(i, Given that m is an integer, with the help of a number line, state the smallest

value of re.

(b) x grams of cheese cost 99 cents-

7. (a)

Find an expression for the number of grams of cheese &at can be bought for $y. 12)

During crss AJurnni Homecoming Day,540 fish ballsand 432 chicken wings arecatered for the guests.

Given that the food is to be shared equail1( aniong the guests, find ,

(i) the largest possible number of guests that can be invited, l2l(ii) &e number of chicken wings each guest will receive. tl]

ffurn over

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4Mathematics I Paper 2 Secondary 1 Express

Clementi Town Secondary SchoolE nd-of-Year Examination 201 3 t74

(b) The diagram below shows a concrele block measuring 45 cm by l8 cm by 20 cnr-

An engineer wanls to build cubes using thesg concrete blocks-

+

20 cm

I;ind l8 cm

45 cm(i) the smallest possible length of side of a cube rhar can be built,

(ii) the number of blocks needed to build 5 strch cubes-

Ansrver the rvhole of this question on a sheet of plain paper-

(") Constnrct a triangle IBC such that AB : BC : B cnr and AC = 5 cr*.

(b) Ivleasure and write clown the size of ZBAC

(c) Construct the angle bisector of /.BAC :

(d) Construct the perpendicular bisector of tlC.

(") Label the point of intcrsecrion of rhe 2 bisecl.ors fiom (c) and (d) as M.

Measure anci write down the length of Alul.

Ansrver the rvhole of this question on a sheet of graph papcr.The table below shows the corresponding x and y values for the equation p : -2x - 5 -

-2 I 0 I 2

v p -3 q _o

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8

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(r)

(b)

(9

(d)

Find the value ofp,and of g. t2)

Using a scale of 2 cm to represent I unit on the x-axis and I cm to represent I unit on

they-axis,draw'thegraph of y=-2x-5 for - Z<x<2- t3l

On the same axes, draw and label the line y = -0.5 tl]From the graphs drawn, find,F9 coordinates of the point whenthe lines,T = -0.5 and

| - 1x-5 meet. : tl]

END OF PAPER

172

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2i)ll ) ExP tiOY Exa rnPlA nsiver Key

r59

J) 20a

2)(a)

(b)

t522

3)

4)

5)

6a)

6b)

7

2.90

2

_25

a:b:c=i:ll:66

-64

Average speed = 600 knr/h

l4

J

Ba)

8b)

8.)

(6*212:64

(n + 2)'

(25 + 2)2 :729

9a) J84 : Zo x72

9b) 2Bo

I0a) $ 350

I0b) 28Yo

I la) l4p -269

l rb) 7y(3x+Z-az)

12a) l44o

l2b) n =10

I2

I 3a)

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20ll !tiXP EOY ilxam I>i Ans..ver Kel'Il3t,i) \;---r-))

I3bii) .r = 4

libiii) (0, -2)

lAa) l44cm2

i4b) h:6cm

I 5a)I

-'f=- I25 years olcl

'79"

/-y = 139"

80"

r sb)

I 6a)

r 6b)

I 6c)

170

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I /)PAPER 2 - Ansryers - CLEivIENT'i T.OWI{

la)tb)

)-J

s36

7x-62t

6ir=-7

x+j,Lt+64x + 9:3720

Shop B

l02xl03 - t00xl05:6

2a)

2b)

jo)

3b)

3.)

4a)

4b)

5a)

5b)

5c)

sd)

6ai)

6aii)

6b)

10

90"

30"

120"

nr > -2.8m=-2

7ai)Taii)7bi)7bil)

108

4

r80

r800

100-rry

99

p:-l,q---7y: -4.5(-2.25,-0.5)

9a)

9")

ed)

This Question Paper consists of /l- i li:: ...i.,--

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