Anyone got a copy of exam 2 and or the answers to it? 
Core
Q1a 31
Q1b 61%
Q2a mode 78, range 9
Q2b IQR=3, Q1-1.5xIQR=75-4.5=70.5, 70<70.5, .: 70 is an outlier
Q3a z=(91-85.6)/2.99=1.8
Q3b b=0.488x2.99/5.37=0.272; a=85.6-0.271717x15.7=81.3
Q3c predicted y=81.3+0.272x14.30=85.19, residual=83-85.2=-2.2
Q4a 3 medians are (1993,13.7), (1998,16.7), (2003,21.8 )
Q4b graph
Q4c Average pay rate increased on average by $0.80 every year from 1991 to 2005 inclusively
Number patterns
Q1a 3
Q1b 21
Q2a t5=8x1.2^4=16.6
Q2b 8x1.2^(n-1)>30, n=9 ........ Thanks to mattdwyer
Q2c S10=8(1.2^10-1)/(1.2-1)=208
Q3ai P3=P2+50=P1+50+50, .: 250=c+100, c=150
Q3aii Arithmetic
Q3b Pn=150+(n-1)50=100+50n, .: a=100, b=50
Q4a 0.2=20%
Q4b A2=0.8x18000+100=14500, A3=0.8x14500+100=11700
Q4c 18000=0.8x18000+k, k=3600
Q5a common ratio=0.9, L(n+1)=0.9xL(n)
Q5b Let tn be the income per tonne, total income=tnxLn=(1500+(n-1)(-200))(20x0.9^(n-1)<10000, n>4.78, i.e. 5, i.e. year 2016
Geometry and trigonometry
Q1a SX=42 m
Q1bi the cosine rule: XY=77 m
Q1bii area=(1/2)(40)(52)sin113deg=957 m2
Q1c angle of elevation=invtan(13/52)=14deg
Q2a Area of shaded rectangle=(1.6/10) x (3.0/10)=0.048 m2
Q2b There are 55 such rectangles. Vol=0.048x55x2.5=6.6 m3
Q3a P=pixD+2x100=400, D=63.66 m
Q3b Grass area=63.66x100+pi(63.66/2)^2 =9549 m2
Q3c Track area=(63.66+16)x100+pi(63.66/2+8)^2-9549=3401 m2; vol=3401x0.1=340 m3
Q4 Vsen/Vint = ((720/500)^0.5)^3=1.728, .: multiply by 1.728
Q5 72.51^2=a^2+68.32^2-2a(68.32)cos112deg, a=9.7 m
Graphs and relations
Q1a speed=150 km/1.5 h=100 km/h
Q1b 30 min
Q1c The line starts at (2,150) and finishes at (3,210) inclusive
Q1d av speed=210/3=70 km/h
Q1e D=60t+k, (3,210), k=30
Q2a 30c+20s</=200, when c=2, s</=7, .: max 7 hours
Q2b 30x+20x</=200, x</=4, max 4 hours
Q3a P=(24-6)n-260, P=18n-260
Q3b 18n-260>/=500, n>/=42.222..., min n=43
Q4a a=6, b=4
Q4b y>/=2 for x=1, .: y>/=2x
Q4c The points in the triangular region enclosed by lines y=10, 6x+4y=48 and y=2x inclusive
Q4d x+y=3+8=11
Q4ei 60x+30y=60(2)+30(9)=$390
Q4eii x=4 and y=8, 60(4)+30(
=$480 Thanks to dranswers, ficknish, tm3101 and jmisjj
Business-related mathematics
Q1a $8000
Q1bi $8000-$6500=$1500
Q1bii $8000-$1500x5=$500
Q1c 1500x2=0.25x, x=12000 km
Q2a $5000x(1+4.8/(12x100))^12=$5245.35
Q2bi TVM solver: N=12, I%=4.8, PV=-5000, PMT=-200, P/Y=12, C/Y=12, FV=7698.86
Q2bii $7698.86-$5000-$200x12=$298.86
Q3a $(7500+7500x8x2/100)/24=$362.50
Q3b Eff rate=(48/25)x8%=15.36%
Q3c Flat rate is charged on the initial borrowed amount whilst effective rate is on the reduced monthly balance. .: Effective rate is higher than flat rate to result in the same amount of interest.
Q3d Value5=$7500x(6375/7500)^5=$3328
Q4d TVM solver: N=16, I%=12, PV=25000, FV=0, PMT=-1990.2712, P/Y=4, C/Y=4
TVM solver: N=8, I%=12, PV=25000, PMT=-1990.2712, P/Y=4, C/Y=4, FV=-13971.09142
Repaid amount=$25000-$13971.09=$11029
Networks and decision mathematics
Q1a 3
Q1b 600+400=1000 m
Q1ci P4
Q1cii Euler path
Q1d Entrance P5 P4 P6 P3 P2 P1
Q2a G4 from the dot between B and J to the dot between F and I
Q2b EST of H =4+3=7
Q2ci AFIM
Q2cii LST for D =20-4-2=14
Q2d Crash one of the activities on the critical path.
Q2e 35 hours
Q3a min cut=24+13=37
Q3bi Group 1, 17 students, ABECD
Q3bii Group 2, 11 students, AFED; Group 3, 7 students, AGFBCD; Group 4, 2 students, ABED
Matrices
Q1a 1+0+0+1+0=2
Q1b The sum represents the number of pipes connected to pond R.
Q1c first row 01000, first column 01000
Q2ai 0.6x10000=6000 eggs die in the first year
Q2aii B to A in the second transition 12.5%
Q2bi S1 column matrix 0 4000 650 7150
Q2bii number of adults after four years 331
Q2ci all adults die after 13 years
Q2cii largest number of adults is 1325 after 2 years
Q2d add 10000 eggs, remove 3000 babies, add 150 adults
Q2ei S1 column matrix 200000 4000 650 7150
Q2eii number of eggs after two years 162500
http://www.itute.com/board/viewtopic.php?f=4&t=2616&sid=1930781e32260742a4f695bf8f6377fa
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