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6165-021 JUNE 2011Technician Diploma in ConstructionApplied scientific techniqu es 2 - principles

cityQpGuilds

Monday6 June 201 1

09:30 - 12:OO

You should have thefollowing for this examination. a multiple-choice answer sheet. a pen with black or blue ink. a non-programmable calculator

v This question paper is the property of the City and Guilds of London; Institute and is to be returned after the examination.

Read the following notes before you answer any questions' . You must use a pen with black or blue ink to complete all parts of the answer sheet.

, . Check that you have the correct answer sheet for the examination.I . Check that your name and candidate details are printed correctly at the top of your answer sheet.

. Each question shows four possible answers (lettered 'd','b', 'c'and'd'); only one is correct.

. Decide which one is correct and mark your answer on the answer sheet with your pen.

For example if you decide 'a' is correct, mark your answer like this

o@ofc*'lfc-""'It-c*;]

@t c*a

. lf you want to change your answer, cancel your first choice by filling in the 'cancel'box below the circle like this

' - -' - rno @ o @

Il-c*r ll-c*l tl-c*r t

Then rnark the answer which you have now decided is correct. For example if younow decide 'c' is correct, mark your answer like this

r,rro o o u/It-c*r ll-c*r lt-c*r I

Any other marks on the form may invalidate some of your answers.

. Any calculations or rough working can be done on the question paper.

. Attempt all questions. lf you find a question difficult, leave it and return to it later.

This paper contains 90 questions. Answer them using the 'boxes' numbered1 to 9O on the answer sheet.

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@ The City and Guilds of London lnstitute 201 1

1333305

The two roots of the quadratic equationf+l=8xare

a -1 ,7 "'n1=?zt-b 1,-7c 1,7d 1,8.

The solution to the pair of sinnultaneousequations

Y=4x-23x+y=12

is

a x=1,y=6b x=6,y=1c x=2,y=6d x=6,y=2.

ln a triangle ABC,

,/n = ,/c = H[ *d ,/A = .,.1]

The formula expressing Y in terms of X is

a Y=90'-Xb Y=180"-Xc Y=180"-2Xd Y =2X- 180'.

lf the formul'a V = 1n'f is rearranged tor)rJ

make R as the new subject, the formula willthen be

p=

ft=

ft=

The algebraic expression

3x3+2*y+6xy2+4y3

when factorised becomes

a 1x +iy)Pf * 2f)b (x-zilQf-f)c (3x + 2y)(i * 2f)d (3x -2y)(x2 - 2f)

The expression log *

- togl + log xy - logyyxcan be simplified to a single term as

a loglv

b logyc logxd log xy

v.-

Imetres

L

abcd

Figure 1

lf the area of an 'L' shaped lawn as shownin Figure 1 is 200 m', then the value of x is

2.5 m5m7.5 m10 m.

The solution to the pair of simultaneousequations

3.2x+0.9y=19.73.2x-2.2Y=9.4

is

EVt_1i nt't

abcd

/ v)'t_t[:]"h.1

(av\'t_l\,rh )

x=1.1,y=2.1x=2.1,y=1.1x=3,y=5x=5, y=3.

5 The value or '.r[8t' is

a2b4c6d 16.

20m

V3nh

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1 0 lf the formu la tl = u2 + 2as is transposed tomake 's'the new subject, the formula willnow be

a s=tl-Glzab s=tl+G-Zac s = (f _za)tGd s=(f_G1tza.

Questions 11 and 12 reter to Figure 2

Figure 2

Figure 2 represents the major sector of a

circle with centre O. Given n = 4 .7

the length of the arc is

a 55cmb 66cmc 77cmd 88 cm.

The area of the major sector in Figure 2 is

462 cm2474 cmz486 cm2 d

498 cmz.

radians in degrees is equalto

60"90"120"1 80'.

16h

" Figure 3

A roof truss has the dimensions shown inFigure 3. To the nearest degree, the angledis

a 27"b 30'c 60'd 63'.

Figure 4

ln Figure 4 the length x is given by

a 5Cos32

b 5Sin32

Sin 32

5

Cos 32

in Figure 5 is

1 00"1 10"120"1 30'.

14

\-11

15

12

abcd

\, 13 2x3

abcd

abcd

Figure 5

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17 Which one of the following curvesrepresents the function Y = sin 0?

Figure 6

ln Figure 6, which two of the followingangles are comPlementarY?

a AandB.b CandD.c DandE.d EandF.

Figure 7

19 ln Figure 7 the length of AB is

a 3.00b 6.00c 9.16d 10.77.

20 Which one of the following triangles is bothright-angled and isosceles?

A:A%tr,n

Figure 8

Figure 8 is the graph of the quadratic

equation Y = * - 3x - 6. -The solution to

equation f - Zx-6=4is

a (-3,0)b (,-2,4)c (4.5, -1.5)d (-2, 5).

18

21

60" \'A\

E75

na1050 L

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6

5

L

3

2

I

0

I

2

Y=Lx-2

3x+y = t2

//

Figure 9

Tr"e 'ra ues of the gradient (m) and the.te,rcept on Y-axis for the line AB inrqure 9 are

a rn =1.5 C=-1, m=1.5 c=1a m=1 c=-1.5c m=A c=1.5.

Figure 10

v 23 The solution to the simultaneous equations

x+y=6y=x+2

as displayed in Figure 10 is

(1,2)(2, 1)(2,4)(4,2).

Figure 11

The solution to the simultaneous equationsrepresented by the lines in the graph inFigure 11 is

a (1, 6)b (6, 1)c (2,6)d (6,2).

The sum of the first 10 terms of the series2, 22, 23, 24, is

a 2016b 2026c 2036d 2046.

lf the sum of the first 20 terms of an AP is400 and the 20th term is 39, then its firstterm will be

27 The sum of the first 21 terms of the series(-20), (-18), (-16), (-14) is

24

25

abcd

a1b2c3d5.

a -100b -50c0d 50.

I6t,

20

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63 62 65 64 6263 61 63 66 61

64 65 bJ 67 6261 66 64 63 62

28

Figure 12

The relative frequency of the number 63 inthe table shown in Figure 12 is

a 0.1b 0.15c 0.2d 0.25.

Figure 13

29 The histogram in Figure 13 shows agedistribution of lecturers in a college. The

. number of lecturers under 45 years of ageis

Figure 14

The tally chart in Figure 14 shows theweights of a sample of students. What is thetotal number of students in the sample?

40.50.60.80.

A fixed mass of gas occupying 1 litre at30"C is heated to 230"C and at the sametime the pressure is doubled. Working inabsolute temperatures, what will be theresulting volume in litres?lT(k)=273+t(c)l

a 0.65b 0.83c 1.00d 1.35

lf the absolute temperature of a fixed massof gas is halved at constant pressure, itsvolume will

a increase by a factor of 2b decrease by a factor of 2c increase by a factor of 4d decrease by a factor of 4.

30912tu5roL

!eg6CErul rc

oz252.

abcd

31

32

a8b12c20d 32.

lil

)rll]ru ilil

lH{}r}ur

Im.

illt

il

ACE IN YEARS

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3833

39

Boyle's Law states that, the

a pressure of a fixed mass of gas isdirectly proportional to its absolutetemperature, if the volume is kePtconstant

b volume of a fixed mass of gas isinversely proportional to the pressure ifthe temperature is kept constant

c volume of a fixed mass of gas isdirectly proportional to its absolutetemperature, if the pressure is keptconstant

d pressure of gas is atmosphericpressure plus that due to other sourcesif the volume is kept constant.

A quantity of gas has a volume of 50 cm3

at a pressu re of 2 x 105 Pa. What is itsvolume when the pressure is decreased to1 x 105 Pa whilst the temperature is keptconstant?

a 25 cm3.b 50 cm3.c 75 cm3.d 100 cm3.

Condensation on interior surfaces within awall construction is avoided by ensuring that

The relative humidity of a sample of air is away of expressing how close it is to

a boiling pointb evaporationc freezing pointd saturation.

Cooking, washing and breathing can allcontribute to which of the following withinthe air of the room?

a Noise.b Moisture.c Resonance.d Magnetic field.

The rate of heat loss through 10 m2 of acavity wall having a U value of 0.96 Wm2"C with a temperature difference betweenthe inside and outside faces of 10'C will be

a 0.96 Wb 9.6Wc 96.0 Wd 960.0 w.

Surface and interstitial are two forms of

a materialsb wavesc noised condensation.

Which one of the following materials of thesame thickness, if placed on the inside of ahouse wall, would reduce the rate of heatflow through the wall by the greatestamount?

34 40

41

35

abc

d

the surface is painted blacka DPC is placed behind the surfacethe temperature of the surface isalways kept above the dew point 42the room behind the wall is wellventilated.

Y36

37

Which one of the following instruments isused to find the dew point in a laboratory?

a Barometer.b Voltmeter.c Thermometer.d Hygrometer.

The U value for a wall comprising ofelements having individual thermalresistances of 0.1 15 + 1 .609 + 0.075 +0.210 is

2.01.51.00.5.

43 A bang against a radiator would produce

air-borne soundimpact sounda decibel scalean oscilloscope.

abcd

abcd

abcd

conductivity(Wm"C

_333305 See next page

44 Sound levels are measured in

a hertzb decibelsc ohmsd lumens.

Figure 15

The dimension shown on the wave diagramin Figure 15 is termed

a amplitudeb frequencyc magnituded wavelength.

The amplitude of a wave is a measure of its

a soundb energyc frequencyd wavelength.

Figure 16

The dimension shown on the wave diagramin Figure 16 is termed

a wavelengthb amplitudec frequencyd magnitude.

Taking

l" as the wavelength (m)f as the time (s)

f as the frequency of the vibration (Hz)

the velocity, V, of a sound wave is given by

a V=fufb V =)"(c V= fId v = tx2.

Transformers are used to change

a currents from a.c. to d.c.b capacitancec voltagesd curents from d.c. to a.c.

Figure 17

The curve shown in Figure 17 representsone complete oscillation of

a direct currentb conductancec capacitanced alternating current

The concept of the generator is to rotatewhich one of the following rn a magneticfield?

a Coil.b Capacitor.c Resistance.d Magnet.

ln alternating current the cunent keeps

a altering its frequencyb reversing its direct;onc altering its valued alternating from a.c. to d.c.

Connecting a circuit between a single livecable and a neutral cable would produce

a single-phase supplyb two-phase supplyc three-phase supplyd four-phase supply

The frequency of a sound wave directlydetermines its

a wavelengthb amplitudec energyd pitch.

49

.i

I

4550

46

47

51

52

53

4854

133330s

55 Which one of the following is not a meansof transporting water?

a Pipe lines.b Rivers.c Aqueducts.d Cabies.

Pure water is never found in nature,because for many minerals, water is anexcellent

hydratecoagulantsolventfilter.

During water treatment, chemicals calledcoagulants are added to the water tocombine with bacteria etc to form

a chlorineb fluoridec limed flocs.

A concrete cube of side 150 mm is tested incompression. The failing load was 675 kN.The ultimate compressive stress was

a 20 N/mm2b 30 N/mm2c 40 N/mm2d 50 N/mm2.

Which one of the following factors does notaffect the strength of hardened concrete?

a Water-cement ratio.b Compaction.c Aggregate cement ratio.d Volume of concrete.

Preservative treatments are used in whichone of the following construction materials?

a Brick.b Plaster.c Timber.d Concrete.

l0 kN+r-.-+-

Figure 18

three force systems,a point is

56 sultant of the18, acting at

I

f ro r, r.r

l0.1

abcd

61 The reFigure

o

57

58

59

60

?0kHb o,t*-

Figure 19

Refer to Figure 19. The force which bringsthe above forces acting at a point intoequilibrium is

rc!2kn7 zotixy 3o,l-2ky/

A+A+&

d ,finu,/!s'h/

62

v

,rtxt o{i*Nl

A60ry

re_60/zkvt{zx,N/

A

-333305 See next page

,.rS\*-FFigure 20

The vertical and horizontal components ofthe forces in Figure 20 acting at a point are

l zotttcl| *!*l70kNolI *n*

Figure 22

The horizontal component of forces inFigure 22 acling at a point is

N ro*/-zr n 2okN.x+t

Figure 24

The vector which would bring the forcesacting at point 'A' in Figure 24 intoequilibrium would be

3okNl 3okNl uon*l uou*f--l--r I I.ibcd

One kilogram force is equivalent to

a 9.81 Nb 98.1 Nc 981.0 Nd 9810.0 N.

Lol'2k

/

l0kN

++

lzotttolI uor*

I 70kNbtI gotw_>_

66 rhe resurta., ,"-::::;:"""",or thevectors shown in Figure 23 is

Ia 20kN I

b .ohN I

. 6okN tI

d lorN II

I

-6dkN I6okN

Figure 21

64 The resultant of the forces in Figure 21 is

"\^o \nt"

4\ l!\

o Am" d /*n*/u" b-

,/20,/2kN,/

A"

67

go/-zxN,/t orzuN ,/+&+b

10kNO€

20kNb --+

30kN--+'

40kNd-

1333305 10

70

*-4/ + V.l/ ,/ 2ot<Nl+' lorN

Figure 25

The magnitude of the resultant of the threehorizontal force components sirown inFigure 25 is

a 20kNb 30kNc 40kNd 50 kN.

A force having magnitude and direction is a

a neMonb momentc vectord pascal.

10 kN

Figure 26

Refer to Figure 26. The bending moment atpoint D on the beam for which the part SFDis shown is

6 kNm10 kNm16 kNrn22 kNm.

Figure 27

72 The force required at B to bring the parallelforce system, Figure 27, into equilibrium is

a 7kNb 14kNc 21kNd 28 kN.

25kNFigure 28

The bending moment at point D on thepart-loaded beam shown in Figure 28 is

a 10 kN mb 20kNm

30kNm40 kN m.

73

C

d

-l 71

I1vabcd

ro*nB

Figure 29

74 The resultant of the forces system shown inFigure 29 will act at a distance

a 1.00 m from Ab 1.33 m from Ac 2.00 m from Ad 3.00 m from A.

11

20k N

-333305 See next page

75

Figure 30

The shear force at point F in Figure 30 is

a -15 kNb -5kNc 5kNd 15 kN.

Figure 33

78 The bending moment at point'C' inFigure 33 is

a WU4b WL/8c WL2t4d WL2r8.

10kN

v

?0kNm

?0lttlm

Figure 32

Refer to Figure 32. The bending moment atpoint A is

a 40kNmb 50kNmc 60kNmd 70 kN m.

Figure 34

The reaction, Rs in Figure 34 is

a 20kNb 40kNc 60kNd 80 kN.

Alm B

Rl= 16kN Rs = 4kN

Figure 35

Refer to Figure 35. The maximum load'.r kN'which can be placed on the beam soas not to exceed the reaction values is

a SkNb 10 kNc 15 kNd 20 kN.

o *o**"] c

h unn**) d

L

Figure 31

76 The resultant moment at point C inFigure 31 is

)

)

l0k N

1333305 12

81

Figure 36

The deflected form in Figure 36 is for a

a simply supported beamb cantilever beamc continuous beamc ourlt-in beam at each end.

Figure 37

The regions of tension shown in Figure 37are for a

cantilever beambuiltin beamportalframecontinuous beam.

SUSPENSIONPoStTroN 1

Figure 38

Refer to Figure 38. The intersectionposition of the suspension lines 'O' denotesthe

neutral axiscentre of gravitymass of the bodyinertia of the body

Refer to Figure 39. The centroid position

is

a 1.5 cmb 2.0 cmc 2.5 cmd 3.0 cm.

lcm

Ftcm IFigure 39

Figure 40

to the centroid in Figure 40

v84

t

82

t-

abcd

abcd

83

a

a

d

85 The distance xis

2.0 cm3.0 crn4.0 cm5.0 cm.

l-31330s13

See next page

86 A 100 mm cube crushed at a value of60 kN. At what value would a cube of50 mm cube, taken from the same concretemix, be expected to fail?

a 10 kN.b 15 kN.c 20 kN.d 25 kN.

The tensile strength of a bar is 400 N/mm2.

lf the maximum permissible stress is

182 N/mm2, the factor of safety (F.O.S.) is

a 0.22b 2.2c 22.0d 220.0

A steel bar, of rectangular cross-section20 mm x 30 mm, is subjected to an axialpull of 60 kN. The resulting tensile stress is

a 50 N/mm2b 100 N/mm2c 150 N/mm2d 200 N/mm2.

The pressure at the base of a tank 6 mdeep full to its brim with water of density1000 kg/m3 is approximatelY

a 40 kN/m2b 50 (irtlm2

c 60 kN/m2d 70 kN/m2.

Assuming water density is 1000 kg/m3, the

total force on a retaining wall per metre run,

retaining water to a height of 4 m, isapproximatelY

60 kN80 kN100 kN120 kN

89

90

87

abcd

88

\-

\

NOW GO BACK AND CHEGK YOUR WORK

. IMPORTANT -

Are the details at the top of the answer sheet correct?

Have you filled in your answers in INK in the appropriate boxes on the answer sheet?

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