r ffilt til il]t lllt ]llt flil lil] ilt ll] 6165-021 JUNE 2011 Technician Diploma in Construction Applied scientific techniqu es 2 - principles cityQp Guilds Monday 6 June 201 1 09:30 - 12:OO You should have the following 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@o fc*'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 you now 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' numbered 1 to 9O on the answer sheet. I f]t ilil ilil illlt ililIilil ilfl lll llll @ The City and Guilds of London lnstitute 201 1 1333305
Applied scientifiq techniques exam paper for C&G Diploma
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r ffilt til il]t lllt ]llt flil lil] ilt ll]
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.
I f]t ilil ilil illlt ililIilil ilfl lll llll
@ 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
- 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
1333305 See next page
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
1333305
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
1333305 See next page
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
1333305
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