Further MathematicsWritten Examination 1 – October/NovemberIntrod - PDF document

FURTHER MATHEMATICSWritten examination 1 Reading time: *.** Writing time: (1 hour 30 minutes)MULTIPLE-CHOICE QUESTION BOOKStructure of book to be answeredto be answeredA – CoreTotal 40 bring room: computer-based • Students permitted examination Materials supplied • Question • Formula • Answer multiple-choice • Working Instructions • Check name student number and • Unless indicated, are not At the end of the examination • You keep question Students are NOT permitted to bring mobile phones and/or any other unauthorised electronic devices into the examination room. ORIAN Version Victorian Certi�cate of EducationYear FURMATH THIS PAGE IS BLANK Version SECTION A – Core Instructions for Section A all correct not not Data analysisQuestion 1 large city. 2 15682124568993011228940450161984 A. B. C. 30.1 30.5 Saturday, A. 16 B. 68 C. 460 D. 1900 E. 2400 FURMATH Use the following information to answer Questions 3–6. day. distance driver sex (female, number of children the type of car car postcode driver’s (F = female,Type of car x sx A. x sx B. x sx C. x sx D. x sx E. x sx Question 4 A. 0 B. 1 C. 2 D. 3 E. 4 Version Question 5 A. 0 B. 1 C. 2 D. 3 E. 4 Question 6 A. 0 B. 1 C. 2 D. 3 E. 4 Question 7 –1.5–1.0–0.50.00.51.01.5 oil consumption log oil consumption A. 1% B. 2% 27% 57% 98% FURMATH Question 8 2030405060708090100110 A. time 102030405060708090110 B. time 102030405060708090110 C. time 102030405060708090110 D. 102030405060708090110 E. 102030405060time708090110 Version Question 9 density, large city. population density (people per square kilometre) 010002000300040005000600070008000900010000 inner suburbsouter suburbs not A. More B. More inner C. Population suburbs D. The median density E. Population inner Question 10 car’s hour, A. driver’s B. car’s C. car’s D. average distance travelled, E. driver’s male). FURMATH Question 11 car’s –200.0 –0.005 –0.004 0.005 200.0 large A. male students computer B. encouraging students C. encouraging students playing D. male students sport E. male students sport Question 13 To seasonality, A. reduced by B. increased C. reduced by D. increased E. reduced by Version Use the following information to answer Questions 14 and 15. 11 below. Mar.Apr.Nov. 0.89 0.97 1.02 1.23 1.29 May, A. $165 B. $190 C. $209 D. $218 E. $240 FURMATH Question 16 2011. Jan.Feb.Mar.Apr.MayJuneJulyAug.Sept.Oct.Nov.Dec. numberof days12 14 1086420 A. Jan.Feb.Mar.Apr.MayJuneJulyAug.Sept.Oct.Nov.Dec. 14 1086420 B. Jan.Feb.Mar.Apr.MayJuneJulyAug.Sept.Oct.Nov.Dec. 14 1086 C. Jan.Feb.Mar.Apr.MayJuneJulyAug.Sept.Oct.Nov.Dec. 14 1086 D. Jan.Feb.Mar.Apr.MayJuneJulyAug.Sept.Oct.Nov.Dec. 14 1086 E. Jan.Feb.Mar.Apr.MayJuneJulyAug.Sept.Oct.Nov.Dec. 14 1086420 Version Question 17P0 Pn + 1 Pn – 500 A. 500, B. 2000, C. 2000, D. 2000, E. 2000, Question 18 A. L0 Ln + 1 Ln – 100B. L0 Ln + 1 Ln + 100C. L0 Ln + 1 LnD. L0 Ln + 1 LnE. L0 Ln + 1 Ln – 100Question 19 year. offers daily. effective 6.75% 6.92% 6.96% 6.98% 6.99% monthly. Vn n A. V0 Vn + 1 VnB. V0 Vn + 1 VnC. V0 Vn + 1 VnD. V0 Vn + 1 VnE. V0 Vn + 1 Vn FURMATH Use the following information to answer Questions 21–23. below. number (Interest 0 1 47 2 47 11 3 47 4 47 5 47 6 47 47 8 47 9 47 10 47 Question 21 A. $339 B. $352 C. $365 D. $387 E. $400 Question 22 A. $36 B. $37 C. $39 D. $40 E. $41 Question 23 $3799.82 $4074.67 $4271.49 $4836.57 $5607.94 Version END OF SECTION A 12345678 Pn n Pn A. Pn n B. Pn nC. Pn nD. Pn nE. Pn n FURMATH SECTION B – Modules Instructions for Section B two all and correct not not Contents Page 15 19 24 28 SECTION B – continued Version SECTION B – Module 1 TURN OVERQuestion 1 B below, P A C S Trevor T U eronica V illiam W   i j B b i j b32 A. art revor. B. art C. art D. cooking E. cooking revor. Question 2 Catherine’s x y    A.          B.          C.      D.      E.  Module 1 – Matrices shade FURMATH SECTION B – Module 1 Question 3 I a matrix II a matrix III a diagonal IV equal the trueA. 0 B. 1 C. 2 D. 3 E. 4 Question 4 A B C D below.          A. Dan B. Dan C. Con D. Ash E. Ash Version SECTION B – Module 1 TURN OVERQuestion 5 Sn + 1 Sn Sn + 1 T Sn – C T S0 C          S2 A.      B.      C.      D.      E.      Question 6A B AB BA I I not A. ABA AB. AB2A IC. B AD. B inverse AE. both A B inverses FURMATH End of Module 1 – SECTION B Question 7 X i j X xi j xi j i + j X A.   B.   C.   D.   E.   Question 8 T S2 T      S   S2 TS1 S1 A.  B.  C.  D.   unde�ned Version SECTION B – Module 2 TURN OVERQuestion 1 Kelly, KellyLindonNateMilton Kelly, A. a B. an Eulerian C. an Eulerian D. a Hamiltonian E. a Hamiltonian Question 2 YABCED Y A. vertex AB. vertex BC. vertex CD. vertex DE. vertex EModule 2 – Networks and decision mathematics shade FURMATH SECTION B – Module 2 Question 3 A to Town B Town Town Dijkstra’s A own B A. 9 B. 10 C. 11 D. 12 E. 13 Version SECTION B – Module 2 TURN OVERQuestion 4 DE A. ABDE H IJ B. ABDE H IJ C. ABDE H IJ D. ABDE H IJ E. ABDE H IJ FURMATH SECTION B – Module 2 Use the following information to answer Questions 5 and 6. Question 5 A. 0 B. 1 C. 2 D. 3 E. 4 Question 6 A. 0 B. 1 C. 2 D. 3 E. 4 Question 7 trueA. There critical B. A includes C. A always takes D. Reducing any for E. If are changes, any Version End of Module 2 – SECTION B TURN OVERQuestion 8 below. 5573546 Cut ACut BCut CCut DCut E track’s A. Cut AB. Cut BC. Cut CD. Cut DE. Cut E FURMATH SECTION B – Module 3 Question 1 2.5 cm64° sector, A. 2.8 B. 3.5 C. 7.0 D. 88.4 E. 110.5 Question 2 A. Athens, B. Belgrade, C. Kingston, D. Pretoria, latitude E. Brisbane, Module 3 – Geometry and measurement shade Version SECTION B – Module 3 TURN OVERQuestion 3 large 4 cm6 cm large $1.60 $2.32 $2.40 $3.40 $3.60 10 m4 m5 m12 m respectively. not A. 196 B. 212 C. 224 D. 344 672 FURMATH SECTION B – Module 3 Use the following information to answer Questions 5 and 6.Question 5 A B C below. NABC140°2050 m1900 m2250 m A to B B to C A to C B A C A 032° 069° 192° 198° 209° ABC A.  B.  C.  D.   E.   Version End of Module 3 – SECTION B TURN OVERQuestion 7 ACB, latitude 40° N6400 km equator A A. 4114 B. 4903 C. 5543 D. 6400 7390 EHFGCDAB ABCD AH HC A. 64 B. 96 C. 128 D. 192 E. 256 FURMATH SECTION B – Module 4 Question 1 123456 A. 3 B. 4 C. 5 D. 6 E. Question 2 A. x + y B. xy C. 3 y xD. y E. x Module 4 – Graphs and relations shade Version SECTION B – Module 4 TURN OVERQuestion 3   below. 46810 (2, 20) k A. 5 B. 10 C. 20 D. 40 E. 80 FURMATH SECTION B – Module 4 Question 4 train’s journey, 9.00 am9.30 am10.00 am10.30 am11.00 am hour, A. 45 B. 50 C. 60 D. 65 E. 80 Question 5 cost a + b hours a charge, b charge hour. $19.50 $97.50 $99.50 $113.50 $121.50 Version SECTION B – Module 4 TURN OVERQuestion 6 trueA. Only B. No feasible solution. C. To feasible bounded. D. Only corner solution. E. Only corner be Question 7 x + y 2 x + 4y x y 12345678910 xy Z x + 3y integer solutions A. (1, B. (3, C. (4, D. (5, E. (6, FURMATH END OF MULTIPLE-CHOICE QUESTION BOOK Yvette Xavier. Yvette x y 102030405060 102030405060 102030405060 102030405060 102030405060 A.B.C.D.E. Section A – Core Question12345678910111213141516AnswerBDCBABBACEBDAEEB Question1718192021222324AnswerDCDBCCCESection B – ModulesModule 1 – Matrices Question12345678AnswerBECEBCEDModule 2 – Networks and decision mathematics Question12345678AnswerDDBABEEDModule 3 – Geometry and measurement Question12345678AnswerBDACEABBModule 4 – Graphs and relations Question12345678AnswerBEDADBDC FURMATH EXAM 1 (SAMPLE – ANSWERS)© VCAA 2016 – Version 4 – September 2016 SECTION A – continuedTURN OVER SECTION A – continued SECTION B – continued TURN OVER SECTION A – continued SECTION A – continued TURN OVER FURMATH EXAM 1 (SAMPLE – ANSWERS) © VCAA 2016 – March 2016 SECTION B – continued SECTION A – continued TURN OVER SECTION A – continued