SUCCESS ONE HSC
SUCCESS ONE HSC *MATHEMATICSGENERAL 2Past HSC General MathematicsPapers & Worked Answers2001–2013Free-to-download HSC Exam with answers
CHAPTER 12 2012 HSC EXAMINATION PAPERCHAPTER 122012 HSC Examination Paper2012H I G H E R S C H O O L C E R T I F I C AT EE X A M I N AT I O N PASCAL PRESS 2014 ISBN 978 1 74125 470 9General MathematicsGeneral Instructions Reading time – 5 minutes Working time – 2 –12 hours Write using black or blue penBlack pen is preferred Calculators may be used A formulae sheet is provided atthe back of this paper In Questions 26–30, showrelevant mathematical reasoningand/or calculations Write your Centre Number andStudent Number on theQuestion 28 Writing Booklet348Total marks – 100Section IPages 2–1325 marks Attempt Questions 1–25 Allow about 35 minutes for this sectionSection IIPages 14–2775 marks Attempt Questions 26–30 Allow about 1 hour and 55 minutes for this sectionExcel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 2
2012 HSC EXAMINATION PAPER QUESTIONSSection I25 marksAttempt Questions 1–25Allow about 35 minutes for this sectionUse the multiple-choice answer sheet for Questions 1–25.1A set of 15 scores is displayed in a stem-and-leaf plot.56789327214674378957What is the median of these scores?(A) 7(B)8(C)77(D) 782Handmade chocolates are checked for size and shape. Every 30th chocolate is sampled.Which term best describes this type of sampling?(A) Census(B)Random(C)Stratified3 PASCA L PRESS 2014 I SBN 978 1 74125 470 9(D) SystematicA pair of players is to be selected from 6 people.How many different pairs of players can be selected?(A) 6(B)12(C)15(D) 30Excel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 2SuccessOne HSC MathsGeneral2 BOOK 2014Ed.indb 3493495/12/13 12:21 PM
CHAPTER 12 2012 HSC EXAMINATION PAPER450 x29NOT TOSCALE40 Which expression could be used to calculate the value of x in this triangle?(A) 29 cos 40 5(B)29 cos 50 (C)cos 40 29(D)cos 50 29has intercepts p and q, where p and q are positive integers.The lineypOq PASCAL PRESS 2014 ISBN 978 1 74125 470 9What is the gradient of line ?350(A) pq(B) qp(C)pq(D)qpExcel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 2SuccessOne HSC MathsGeneral2 BOOK 2014Ed.indb 350x
2012 HSC EXAMINATION PAPER QUESTIONS60.05 m4mNOT TOSCALE30 cmWhat is the volume of this rectangular prism in cubic centimetres?(A) 6 cm3(B)600 cm3(C)60 000 cm3(D) 6 000 000 cm3The Pi Company has two bakeries. The radar chart displays the monthly sales for thebakeries.Monthly sales ( ’000s)January35302520JuneFebruary1510KEY5Monthly salesfor Bakery 1Monthly salesfor Bakery 2MayMarch PASCA L PRESS 2014 I SBN 978 1 74125 470 97AprilWhat was the difference in sales in June between the two bakeries?(A) 7.50(B) 17.50(C) 7500(D) 17 500Excel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 23515/12/13 12:21 PM
CHAPTER 12 2012 HSC EXAMINATION PAPER8Dots were used to create a pattern. The first three shapes in the pattern are shown.Shape 1Shape 2Shape 3The number of dots used in each shape is recorded in the table.Shape (S)123Number of dots (N)6810How many dots would be required for Shape 156?(A) 316(B)520(C)624(D) 9369Tracy invests some money for 2 years at 4% per annum, compounded quarterly.Compounded values of 1 PASCAL PRESS 2014 ISBN 978 1 74125 470 9PeriodInterest rate per .0831.1721.2671.3691.477Which figure from the table should Tracy use to calculate the value of her investment atthe end of 2 years?(A) 1.020(B)1.082(C)1.083(D) 1.369352Excel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 2SuccessOne HSC MathsGeneral2 BOOK 2014Ed.indb 3525/12/13 12:21 PM
2012 HSC EXAMINATION PAPER QUESTIONS108.8 mNOT TOSCALE9.9 m57 50 What is the area of this triangle, to the nearest square metre?(A) 33 m2(B)37 m2(C)42 m2(D) 44 m211Which of the following relationships would most likely show a negative correlation?(A) The population of a town and the number of hospitals in that town.(B)The hours spent training for a race and the time taken to complete the race.(C)The price per litre of petrol and the number of people riding bicycles to work.(D) The number of pets per household and the number of computers per household.12Two unbiased dice, each with faces numbered 1, 2, 3, 4, 5 and 6, are rolled.(A)16(B)1136(C)2536(D)56 PASCAL P RESS 2014 I SBN 978 1 74125 470 9What is the probability of a 6 appearing on at least one of the dice?Excel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 2SuccessOne HSC MathsGeneral2 BOOK 2014Ed.indb 3533535/12/13 12:21 PM
CHAPTER 12 2012 HSC EXAMINATION PAPER13Conversion graphs can be used to convert from one currency to an dollars120140100120140New Zealand dollars1008060402006080Euros PASCAL PRESS 2014 ISBN 978 1 74125 470 9Sarah converted 60 Australian dollars into Euros. She then converted all of these Eurosinto New Zealand dollars.How much money, in New Zealand dollars, should Sarah have?(A) 26(B) 45(C) 78(D) 135354Excel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 2SuccessOne HSC MathsGeneral2 BOOK 2014Ed.indb 3545/12/13 12:21 PM
2012 HSC EXAMINATION PAPER QUESTIONS14Which of the following expresses 2x 2 (5 – x) – x (x – 2) in its simplest form?(A) –2x 3 9x 2 2x(B)–2x 3 – 9x 2 – 2x(C)9x 2 – x 2(D) 9x 2 – x – 215The time taken to complete a journey varies inversely with the speed of a car. A car takes6 hours to complete a journey when travelling at 60 km/h.How long would the same journey take if the car were travelling at 100 km/h?(A) 36 minutes(B)1 hour and 40 minutes(C)3 hours and 6 minutes(D) 3 hours and 36 minutesA machine was bought for 25 000.Which graph best represents the salvage value of the machine over 10 years using thedeclining balance method of depreciation?(A)(B)25 0000Time (years)010(C)Time (years)10Time (years)10 PASCA L PRESS 2014 I SBN 978 1 74125 470 9Salvage value ( )Salvage value ( )25 000(D)25 00025 000Salvage value ( )Salvage value ( )160Time (years)100Excel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 23555/12/13 12:21 PM
CHAPTER 12 2012 HSC EXAMINATION PAPER17A spinner with different coloured sectors is spun 40 times. The results are recorded in pleFrequency2461012What is the relative frequency of obtaining the colour orange?(A)320(B)15(C)6(D) 818Jo qualifies for both Rent Assistance and Youth Allowance and receives a fortnightlypayment from the government.Rent Assistance is 119.40 per fortnight.The maximum Youth Allowance is 402.70 per fortnight. It is reduced by 50 cents in thedollar for any income earned over 236 per fortnight. PASCAL PRESS 2014 ISBN 978 1 74125 470 9Jo earns 300 per fortnight from a part-time job.What is the total payment Jo receives each fortnight from the government?(A) 370.70(B) 372.10(C) 458.60(D) 490.10356Excel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 2SuccessOne HSC MathsGeneral2 BOOK 2014Ed.indb 3565/12/13 12:21 PM
2012 HSC EXAMINATION PAPER QUESTIONS19A coach compares the resting pulse and the number of weeks of training for nine cyclists.The information is graphed in order to draw a median regression line.12Weeks of training108642020703040506080Resting pulse (beats per minute)Which of the following graphs best shows the median regression line for the data?1010Weeks of training(B) 12864286420020703040506080Resting pulse (beats per minute)(D) 121010Weeks of training(C) 12864220703040506080Resting pulse (beats per minute)20703040506080Resting pulse (beats per minute)86420020703040506080Resting pulse (beats per minute)Excel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 2 PASCA L PRESS 2014 I SBN 978 1 74125 470 9Weeks of training(A) 12Weeks of training 3575/12/13 12:21 PM
CHAPTER 12 2012 HSC EXAMINATION PAPER20Town B is 80 km due north of Town A and 59 km from Town C.Town A is 31 km from Town C.NBNOT TOSCALE59 km80 kmC31 kmAWhat is the bearing of Town C from Town B?(A) 019 (B)122 (C)161 (D) 341 PASCAL PRESS 2014 ISBN 978 1 74125 470 921358Which of the following correctly expresses c as the subject of E mc2 p?(A) c E pm(B)c E pm(C)c E pm(D) c E pmExcel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 2SuccessOne HSC MathsGeneral2 BOOK 2014Ed.indb 3585/12/13 12:21 PM
2012 HSC EXAMINATION PAPER QUESTIONS 22A label is designed with a circle inside an ellipse as shown.6.3 cm4.8 cm6.3 cmNOT TOSCALEWhat is the area of the shaded part of the label, to the nearest square centimetre?(A) 29 cm2(B)48 cm2(C)113 cm2(D) 244 cm223A football club knows that at the end of 10 years it will need to replace goal posts andother equipment. It is estimated that the replacement cost will be 12 000. For 10 years,the club will invest an amount at the end of each month at 6% per annum, compoundedmonthly.Which equation should the club use to calculate the amount, M, it will need to depositeach month in order to have 12 000 at the end of 10 years? 1 0 . 06 10 1 ) ((A) 12 000 M 0 .06 1 0 . 06 10 1 ) ( (B) 12 000 M 10 0 . 06 (1 0 . 06 ) 1 0 . 005 120 1 ) ( (C) 12 000 M 120 0 . 005 (1 0 . 005) PASCA L PRESS 2014 I SBN 978 1 74125 470 9 1 0 . 005 120 1 ) ( (D) 12 0 0 0 M 0 . 005 Question 23 continues on following pageExcel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 23595/12/13 12:21 PM
CHAPTER 12 2012 HSC EXAMINATION PAPERA 400 000 loan can be repaid by making either monthly or fortnightly repayments. Thegraph shows the loan balances over time using these two different methods of repayment.Loan balance ( )24400 000350 000300 000250 000200 000150 000100 00050 0000Monthly repaymentsFortnightly repayments05101520Time (years)2530The monthly repayment is 2796.86 and the fortnightly repayment is 1404.76.What is the difference in the total interest paid using the two different methods ofrepayment, to the nearest dollar?(A) 51 596(B) 166 823(C) 210 000(D) 234 936 25The solid shown is made of a cylinder with a hemisphere (half a sphere) on top. PASCAL PRESS 2014 ISBN 978 1 74125 470 921 cmNOT TOSCALE8 cmWhat is the total surface area of the solid, to the nearest square centimetre?(A) 628 cm2(B)(C)679 cm2729 cm2(D) 829 cm2360Excel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 2SuccessOne HSC MathsGeneral2 BOOK 2014Ed.indb 3605/12/13 12:22 PM
2012 HSC EXAMINATION PAPER QUESTIONSSection II75 marksAttempt Questions 26–30Allow about 1 hour and 55 minutes for this sectionAnswer each question in the appropriate writing booklet. Extra writing booklets are available.In Questions 26–30, your responses should include relevant mathematical reasoning and/orcalculations.Question 26 (15 marks) Use the Question 26 Writing Booklet.(a)Postcodes in Australia are made up of four digits eg 2040.(i)How many different postcodes beginning with a 2 are possible?1(ii)Peta remembers that the first two digits of a town’s postcode are 2 andthen 4. She is unable to remember the rest of the postcode.124?What is the probability that Peta guesses the correct postcode?(b)Jim buys a photocopier for 22 000. Its value is depreciated using the decliningbalance method at the rate of 15% per annum.2What is its value at the end of 3 years?Heather used her credit card to purchase a plane ticket valued at 1990 on28 January 2011. She made no other purchases on her credit card account inJanuary. She paid the January account in full on 19 February 2011.2 PASCA L PRESS 2014 I SBN 978 1 74125 470 9(c)The credit card account has no interest free period. Simple interest is chargeddaily at the rate of 20% per annum, including the date of purchase and the datethe account is paid.How much interest did she pay, to the nearest cent?Question 26 continues on following pageExcel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 23615/12/13 12:21 PM
CHAPTER 12 2012 HSC EXAMINATION PAPERQuestion 26 (continued)(d)Greg needs to conduct a statistical inquiry into how much time people aged18–25 years have spent accessing social media websites in the last two weeks.He has decided to survey a sample of students from his university.The process of statistical inquiry includes the following steps, which are NOTin order.AWriting a reportBPosing questionsCOrganising dataDAnalysing data and drawing conclusionsECollecting dataFSummarising and displaying data(i)Using the letters A, B, C, D, E and F, list the steps in the most appropriateorder for Greg to conduct his statistical inquiry.2(ii)Greg conducts his statistical inquiry.1At which step in the process would he have drawn this graph?Time spent accessing social media websites (in hours)16 hoursormore PASCAL PRESS 2014 ISBN 978 1 74125 470 911–15hours5 hoursorless6–10hours26 continueson page16QuestionQuestion26 continueson followingpage362E N E–R A L 2E x c e l S U C C E S S O N E H S C M A T H E M A T I C S –G15SuccessOne HSC MathsGeneral2 BOOK 2014Ed.indb 3625/12/13 12:22 PM
2012 HSC EXAMINATION PAPER QUESTIONSQuestion 26 (continued)(e)The dot plot shows the number of push-ups that 13 members of a fitness classcan do in one minute.36(f)373839404142(i)What is the probability that a member selected at random from the classcan do more than 38 push-ups in one minute?1(ii)A new member who can do 32 push-ups in one minute joins the class.Does the addition of this new member to the class change the probabilitycalculated in part (e) (i)? Justify your answer.1The capture-recapture technique was used to estimate a population of sealsin 2012.2 60 seals were caught, tagged and released. Later, 120 seals were caught at random. 30 of these 120 seals had been tagged.The estimated population of seals in 2012 was 11% less than the estimatedpopulation for 2008.What was the estimated population for 2008?Bhawana purchases pool chlorine in a new container which holds 35 kg.2Weekly UsePool Chlorine35 kg3 cups on 1st day of each week1 cup daily for the rest of the weekWeekly Use3 cups on1st day of each week1 cup dailyfor the rest of the week PASCA L PRESS 2014 I SBN 978 1 74125 470 9(g)1 cup 250 g1 cup 250 gShe begins using this new container on the first day of a week.How many full weeks should this container last?End of Question 26Excel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 23635/12/13 12:21 PM
CHAPTER 12 2012 HSC EXAMINATION PAPERQuestion 27 (15 marks) Use the Question 27 Writing Booklet.(a)Tai earns a gross weekly wage of 1024. Each week her deductions are:3 tax instalment of 296.40 health fund contribution of 24.50 union fees of 15.80.She also pays 3640 over the year as her share of the household expenses.What percentage of her net wage does Tai pay for household expenses?(b)The sector shown has a radius of 13 cm and an angle of 230 .13 cm230 2NOT TOSCALEWhat is the perimeter of the sector to the nearest centimetre?(c)A map has a scale of 1: 500 000.(i)Two mountain peaks are 2 cm apart on the map.1What is the actual distance between the two mountain peaks, inkilometres? PASCAL PRESS 2014 ISBN 978 1 74125 470 9(ii)Two cities are 75 km apart.1How far apart are the two cities on the map, in centimetres?Question 27 continues on following page364Excel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 2SuccessOne HSC MathsGeneral2 BOOK 2014Ed.indb 3645/12/13 12:22 PM
2012 HSC EXAMINATION PAPER QUESTIONSQuestion 27 (continued)(d)A disability ramp is to be constructed to replace steps, as shown in the diagram.The angle of inclination for the ramp is to be 5 .3NOT TOSCALE13 cmRamp30 cm13 cm30 cm13 cm5 dCalculate the extra distance, d, that the ramp will extend beyond the bottom step.Give your answer to the nearest centimetre.A box contains 33 scarves made from two different fabrics. There are 14 scarvesmade from silk (S) and 19 made from wool (W).Two girls each select, at random, a scarf to wear from the box.(i)Copy and complete the probability tree diagram in your answer booklet.2S14331933SWSWW(ii)Question25 continueson followingpage are made fromCalculate theprobabilitythat the twoscarves selectedsilk.1(iii)Calculate the probability that the two scarves selected are made fromdifferent fabrics.2End of Question 27Excel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 2 PASCA L PRESS 2014 I SBN 978 1 74125 470 9(e)3655/12/13 12:21 PM
CHAPTER 12 2012 HSC EXAMINATION PAPERQuestion 28 (15 marks) Use the Question 28 Writing Booklet. [See page 529 of this book.] (a)The solid shown in the diagram on page 1 of the Question 28 Writing Bookletis a cube.2Complete a sketch of the cube using the vanishing points V1 and V2 .Leave all construction lines on your diagram and label the vertices.18abc2(b)Simplify fully(c)Jacques and a flagpole both cast shadows on the ground. The difference betweenthe lengths of their shadows is 3 metres.3a2 b.3NOT TOSCALE4m1.5 m3mShadow of flagpoledmWhat is the value of d, the length of Jacques’ shadow? PASCAL PRESS 2014 ISBN 978 1 74125 470 9Question 28 continues on following page366Excel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 2SuccessOne HSC MathsGeneral2 BOOK 2014Ed.indb 3665/12/13 12:22 PM
2012 HSC EXAMINATION PAPER QUESTIONSQuestion 28 (continued)(d)The test results in English and Mathematics for a class were recorded anddisplayed in the box-and-whisker t is the interquartile range for English?1(ii)Compare and contrast the two data sets by referring to the skewness ofthe distributions and the measures of location and spread.3Matthew bought a laptop priced at 2800. He paid a 10% deposit and mademonthly repayments of 95.20 for 3 years.4What annual flat rate of interest was Matthew charged? Justify your answer withsuitable calculations.End of Question 28 PASCA L PRESS 2014 I SBN 978 1 74125 470 9(e)10Excel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 23675/12/13 12:21 PM
CHAPTER 12 2012 HSC EXAMINATION PAPERQuestion 29 (15 marks) Use the Question 29 Writing Booklet.(a)Tourists visit a park where steam erupts from a particular geyser.The brochure for the park has a graph of the data collected for this geyser overa period of time.The graph shows the duration of an eruption and the time until the next eruption,timed from the end of one eruption to the beginning of the next.Steam eruptionsTime to next eruption (minutes)100908070605040 PASCAL PRESS 2014 ISBN 978 1 74125 470 9Geyser eruption1.52.02.5 3.0 3.5 4.0 4.5Duration of eruption (minutes)5.0(i)Tony sees an eruption that lasts 4 minutes. Based on the data in thegraph, what is the minimum time that he can expect to wait for the nexteruption?1(ii)Julia saw two consecutive eruptions, one hour apart. Based on the data inthe graph, what was the longest possible duration of the first eruptionthat she saw?1(iii)What does the graph suggest about the relationship between the durationof an eruption and the time to the next eruption?1Question 29 continues on following page368Excel S U C C E S S O N E H S C M A T H E M A T I C S G E N E R A L 2SuccessOne HSC MathsGeneral2 BOOK 2014Ed.indb 3685/12/13 12:22 PM
2012 HSC EXAMINATION PAPER QUESTIONSQuestion 29 (continued)(b)A machine produces nails. When the machine is set correctly, the lengths of thenails are normally distributed with a mean of 6.000 cm and a standard deviationof 0.040 cm.2To confirm the setting of the machine, three nails are randomly selected. In onesample the lengths are 5.950, 5.983 and 6.140.The setting of the machine needs to be checked when the lengths of two or mor
chapter 12 2012 hsc examina tion p aper Excel SUCCESS ONE HSC M A THEMA TICS GENERAL 2 SuccessOne HSC MathsGeneral2 BOOK 2014Ed.in
Wed 19/10 HSC Mary Poppins Musical Capital Theatre Thur 20/10 HSC Yr 7 Maths Exam 2 Yr 8 Maths Exam 2 Case of Conspiracy – Selected Yr 8 Yr 7 visual Arts Assignment Due Fri 21/10 HSC WEEK 3 Mon 24/10 HSC Yr 8 History Incursion Group 1 Tues 25/10 HSC Yr 8 History Incursion Group 2 Wed 26/10 HSC Thur 27/10 HSC Fri 28/10 HSC WEEK 4 Mon 31/10 HSC
7/8 x 12-3/16 hsc 78 12316 2197 1 x 4-1/4 hsc 1 414 1079 50 1 x 5-1/4 hsc 1 514 1302 50 1 x 6-1/4 hsc 1 614 1514 50 1 x 8-1/4 hsc 1 814 1978 85 1 x 9-1/4 hsc 1 914 2193 50 1 x 10-1/4 hsc 1 1014 2475 same day manuf
HSC Chemistry 9 1 - 5 P Kobylin, M Hietala, T Kotiranta, A Remes, Training Courses Tokyo 2019 A Roine HSC Chemistry 9 Training HSC Chemistry 9 courses in Tokyo, Japan, in November 2019 Get more out of your HSC software and join up to eight instructor-led HSC courses at Pori on November 11 - 13.
HSC Assessment Schedule 2020 - 2021 2 Assessment Calendar 3 Contact List 4 . HSC Assessment Policy 5-14. Year 12 Curriculum 15 . HSC Assessment Policy English Faculty 16-20. HSC Assessment Policy Mathematics Faculty 21-25. HSC Assessment Policy Science Faculty 26-32.
Target Project Target PtCo/HSC-f Ordered-PtCo/HSC-f PtCo/HSC-f Ordered-PtCo/KB 8 SOA Integration & DOE Validation Technical Accomplishment: Cathode: 30 wt.% Intermetallic ordered Pt 3 Co/HSC-f at 0.06 and 0.10 mg Pt /cm2, PFSA ionomer (D2020), 900 EW, I/C ratio of 0.8, Anode: Pt/HSC, 0.015 mg Pt /cm2 PEM: PFSA with reinforcement layer, 18 μmthick
understand the capabilities of all 23 calculation modules and 12 databases. This course also provides an understanding of the potential applications of HSC. The target of the Basic HSC Course is to teach the participants what can be done with the HSC package and what cannot be done.
Pittwater High School Mona St, Mona Vale NSW 2103 Phone: 9999 4035 . Student performance in the Higher School Certificate (HSC) is assessed in two ways – the HSC . the HSC examinations and the internal (school) assessment. In some subjects, there are also external assessable components. The HSC examinations are conducted by the NSW .
HSC and Year 12 . Year 12 have continued to show positive determination during their trial HSC exams, submission of major works, practical HSC exams and general preparation for the HSC. They are also reflecting thoughtfully on their pathways for next
