maths-general-formulae-sheet.pdf |
Below is the specimen paper from the Board of Studies. It is essential you complete this as part of your preparation.
maths-general-2-specimen-paper-14.pdf |
maths-general-2-worked-solutions-14.pdf |
15/9: 2 power points for the Focus Areas from the Preliminary year are found on the school portal - students - maths - year 11 - general. Make sure you are thoroughly familiar with all 4 focus areas as they will all be tested in the HSC. Generally up to 30% of the Preliminary Course can be tested in the HSC.
12/9: Sorry everyone - I am away today. Can you please work through the handout I gave you last lesson on the Focus Study : Mathematics & Driving. In particular answer questions relating to formula found on your Formulae Sheet such as: Straight -Line Method of Depreciation, Declining-Balance Method of Depreciation, Blood Alcohol Content Estimates and Distance, Speed and Time - Stopping Distance. The Formulae Sheet is downloaded above if you need it. What does salvage value mean? Salvage value is the current price of an item that is depreciating (going down) in value. We will revise Bits and Bytes and download speeds on Monday so come prepared to work !
8/9: Calculating energy costs. Watt (W) is the unit of power. It is named after James Watt who invented the steam engine and is equal to the energy consumption rate of one joule per second. (By definition power is a rate). 1000 W = 1 Kilowatt (kW)
Calculations of running costs of various appliances,
e.g. Calculate the cost of running a 200-watt television for six hours if the average
peak rate for domestic electricity is $0.15/kWh.
Solution:
Energy (kWh) = Power(kW) x Time (h)
Total electricity used = 200 × 6 = 1200 watt-hours or 1.2 kWh.
Cost = Energy Used(kWh) x Rate($/kWh)
Cost of electricity used is 1.2 kWh × $0.15/kWh = $0.18.
e.g. Calculate the cost of running a 2400-watt (2.4 kW) fan heater for eight
hours per day for 30 days. Assume electricity is charged at $0.18/kWh.
Solution: Total electricity used = 2.4 × 8 × 30 = 576 kWh.
Cost of electricity used is 576 kWh × $0.18/kWh = $103.68.
5/9: http://www.yourhome.gov.au/passive-design/orientation Ex 14H Cost of electrical energy - Reading an electricity bill. What is the difference between peak, off peak and shoulder? http://www.ausgrid.com.au/Common/Our-network/Metering/Time-of-use-pricing.aspx. the BASIX Certificate to ensure the effective use of water and energy in homes across NSW. www.basix.nsw.gov.au :
12/9: Sorry everyone - I am away today. Can you please work through the handout I gave you last lesson on the Focus Study : Mathematics & Driving. In particular answer questions relating to formula found on your Formulae Sheet such as: Straight -Line Method of Depreciation, Declining-Balance Method of Depreciation, Blood Alcohol Content Estimates and Distance, Speed and Time - Stopping Distance. The Formulae Sheet is downloaded above if you need it. What does salvage value mean? Salvage value is the current price of an item that is depreciating (going down) in value. We will revise Bits and Bytes and download speeds on Monday so come prepared to work !
8/9: Calculating energy costs. Watt (W) is the unit of power. It is named after James Watt who invented the steam engine and is equal to the energy consumption rate of one joule per second. (By definition power is a rate). 1000 W = 1 Kilowatt (kW)
Calculations of running costs of various appliances,
e.g. Calculate the cost of running a 200-watt television for six hours if the average
peak rate for domestic electricity is $0.15/kWh.
Solution:
Energy (kWh) = Power(kW) x Time (h)
Total electricity used = 200 × 6 = 1200 watt-hours or 1.2 kWh.
Cost = Energy Used(kWh) x Rate($/kWh)
Cost of electricity used is 1.2 kWh × $0.15/kWh = $0.18.
e.g. Calculate the cost of running a 2400-watt (2.4 kW) fan heater for eight
hours per day for 30 days. Assume electricity is charged at $0.18/kWh.
Solution: Total electricity used = 2.4 × 8 × 30 = 576 kWh.
Cost of electricity used is 576 kWh × $0.18/kWh = $103.68.
5/9: http://www.yourhome.gov.au/passive-design/orientation Ex 14H Cost of electrical energy - Reading an electricity bill. What is the difference between peak, off peak and shoulder? http://www.ausgrid.com.au/Common/Our-network/Metering/Time-of-use-pricing.aspx. the BASIX Certificate to ensure the effective use of water and energy in homes across NSW. www.basix.nsw.gov.au :
2/9: Sorry everyone I am away today. Please complete Review Test 13 p423 and then practice questions from the last 2
lessons: Start with 14A Q1 if you haven't already done it. Thanks.
1/9: Revising Scale 14C. Using the grid-square method to estimate area 14D. We will practice The Polygon Method next lesson using protractors. Revising Simpson's Rule to find area 14F. Volume using Simpsons Rule 14G. Definition: "Greywater is defined as wastewater generated from wash hand basins, showers and baths, which can be recycled on-site for uses such as toilet , flushing, landscape irrigation and constructed wetlands. Greywater often includes discharge from laundry, dishwashers and kitchen sinks."
29/8: Start Chapter 14: Mathematics & Resources. 14A - Practice how to read a water bill & interpret graphs Do Ex14A Q1. 14B - Volume & Collection of Water. "Every 1 mm of rain = 1 litre (L) of water per square metre (m2) of roof area, and then allow for a 15% wastage factor."
26/8: How to find the least-squares line of best fit (gradient and y-intercept on the calculator on a linear graph - Ex13E): Fx – 82 AU Plus Mode 2 : STAT then press 2 (A +BX)Enter 2 points e.g. 0,2 and 4,14 (Press = to enter data) Press AC when finished entering your data. Then Shift 1 (STAT) press 5 (Reg), the press 2: B = gradient (3). Delete the gradient answer then Shift 1 (STAT) press 5 (Reg), the press 1 A: y intercept = 2. Medication Calculations & Life Expectancy Ex 13F-13I
25/8: Least-squares line of best fit continued...Ex 13D Q2 & Q4. Recognise that a high degree of correlation for different body
measurements does not necessarily imply causality. Some other examples are given here.(http://www.tylervigen.com/)
22/8: Least-squares line of best fit. Ex 13D Q1. using Excel to draw a scatterplot, find the correlation and draw a trend line. Worked example 2 p407.
19/8: Start Chapter 13: Mathematics & Health. Scatter Diagrams, Line of Best Fit, Correlation (r) 13A-13C. What does it mean to extrapolate and interpolate data?
18/8: Harder questions involving time questions when catching a plane. Antipodal points see Investigation 10.1 p338 for further help. Complete Review Test 10 p341 and Review Set A p344.
15/8: Ex 10H - Finish Spherical Geometry.
12/8: Welcome Back from you Trial Exams!! Spherical Geometry continued... Local Time 15 degrees of longitude = 1 hour. Ex10G Complete 8,9,10 before next lesson. If these are too hard do some of the earlier questions.
25/7: Revision for Trials. Please make sure you revise using the Outlier formula found on the formula sheet.
21/7: TERM 3 : Geometry of the Earth (latitude, longitude, arc lengths of the earth) Ex10A-10F
16/7: I hope you've had a great holiday. I encourage you to keep going (start :) with your study. You can do it!
Holiday Work - You MUST complete 3 trial papers. Use your notes, past questions and textbook to help answer any questions you need help with. There are worked solutions attached. This is compulsory homework. It is extremely important to use your time wisely over the holidays. You can make significant improvement during this time. I will be informing Mr Kastelan & Mr Newell if a satisfactory effort is not made.
Holiday Work - You MUST complete 3 trial papers. Use your notes, past questions and textbook to help answer any questions you need help with. There are worked solutions attached. This is compulsory homework. It is extremely important to use your time wisely over the holidays. You can make significant improvement during this time. I will be informing Mr Kastelan & Mr Newell if a satisfactory effort is not made.
wr_trial_hsc_2010_general_maths.doc |
wr_trial_hsc_2010_general_maths_solutions.doc |
wmet_hsc_2013_general_mathematics_solutions.doc |
wmet_hsc_2013_general_mathematics.docx |
maths-general-2-sample-marking-guidelines-14.pdf |
maths-general-2-worked-solutions-14.pdf |
maths-general-2-specimen-paper-14.pdf |
27/6: Plane Table & Compass Radial Survey Ex5H.
24/6: Mixed Problems Involving Trigonometry Ex5G.
23/6: Cosine Rule EX5F
20/6: Sine Rule Ex5E
17/6: Area of a Triangle = 1/2absinC. Ex5D then Sine Rule Start 5E.
16/6: Finish 5C. Assessment Task 3 test results were given back.
13/6: Bearings Ex 5C.
10/6: Trigonometry continued... Ex5A (sin, cos & tan). Ex5B (Angles of Elevation & Depression).
6/6: Start Trigonometry - Chapter 5
The practice sheet below for Ch 2 is excellent HSC style questions. Please complete this as a priority before the test.
24/6: Mixed Problems Involving Trigonometry Ex5G.
23/6: Cosine Rule EX5F
20/6: Sine Rule Ex5E
17/6: Area of a Triangle = 1/2absinC. Ex5D then Sine Rule Start 5E.
16/6: Finish 5C. Assessment Task 3 test results were given back.
13/6: Bearings Ex 5C.
10/6: Trigonometry continued... Ex5A (sin, cos & tan). Ex5B (Angles of Elevation & Depression).
6/6: Start Trigonometry - Chapter 5
The practice sheet below for Ch 2 is excellent HSC style questions. Please complete this as a priority before the test.
ch_2_practice_sheet.pdf |
3/6: Assessment Task 3.
2/6: Revision Lesson before tomorrow's Assessment Task.
27/5: Revision Limits and Error in Measurement. Ex2G. Start Revision for upcoming test. Please complete each Review Test , at least 1 Review Test (Short Answer) & Examination Question at the end of each chapter 2, 6, & 11.
26/5: Limits and Error in Measurement. Ex2G.
23/5: Volume - Volumes of Pyramid & Cones. Ex2F(1,3,4) & Ex2G(Q1 - every 2nd), (Q2 - every 2nd), Q5, Q6.
20/5: Hello everyone. I am away today on Carer's Leave today. Please make good use of your time. Of most importance is that you go to the Maths Department and get an Assessment Notification Task. Please complete the Statistics Revision Sheet I gave you yesterday. It is downloaded below with answers for marking. Make sure you have practiced Ex 2A-2D. You can also start studying for your Assessment Task by completing the Review Tests at the end of the chapters. Have a great day and work hard! :)
19/5: Interpreting Sets of Data - Revision Sheet (See below). Please complete for homework. Due tomorrow!
2/6: Revision Lesson before tomorrow's Assessment Task.
27/5: Revision Limits and Error in Measurement. Ex2G. Start Revision for upcoming test. Please complete each Review Test , at least 1 Review Test (Short Answer) & Examination Question at the end of each chapter 2, 6, & 11.
26/5: Limits and Error in Measurement. Ex2G.
23/5: Volume - Volumes of Pyramid & Cones. Ex2F(1,3,4) & Ex2G(Q1 - every 2nd), (Q2 - every 2nd), Q5, Q6.
20/5: Hello everyone. I am away today on Carer's Leave today. Please make good use of your time. Of most importance is that you go to the Maths Department and get an Assessment Notification Task. Please complete the Statistics Revision Sheet I gave you yesterday. It is downloaded below with answers for marking. Make sure you have practiced Ex 2A-2D. You can also start studying for your Assessment Task by completing the Review Tests at the end of the chapters. Have a great day and work hard! :)
19/5: Interpreting Sets of Data - Revision Sheet (See below). Please complete for homework. Due tomorrow!
statisitics_revision_sheet_and_answers.pdf |
16/5: Surface Area of Rectangular Prisms, Triangular Prisms, Cylinders & Spheres. Ex2C, 2D & 2E.
13/5: Simpsons Rule for finding areas with irregular boundaries. Ex2B.
12/5: Generating Random Numbers. Methods of choosing random samples. 11C-11F. Start Chapter 2 Area of Circle 2A. Homework: Complete Multi-Stage Events Sheet Due tomorrow.
9:/5: The sum of the sample means is equal to the population mean Ex11A (2,4). Generating random numbers on an excel spread sheet.
5/5: Start Chapter 11: Capture-Recapture Ex11B.
2/5: The Normal Distribution e.g. 68% of scores are found between z scores of -1 and 1 etc.. These percentages are found on your formula sheet. Ex 6D Finish for homework. We will spend the first 20mins of next lesson going over this.
29/4: Ex6A continued ...Q4,6,8,10. We measured our heights and found the mean was 169cm with a standard deviation of
10cm. 69% were within 1 s.d of the mean and 92% were within 2 s.d's of the mean. Amazingly accurate (you would expect 68% & 95%) with such a small sample size!! Homework (Due next lesson) Ex6B (a, c ,f ). Revision Homework PROBABILITY - Review Test 7 p253, Review Set 7A & Exam Question p260.
28/4: Start Chapter 6 The Normal Distribution. 6A - Standardised Score (Z-score) = (raw score - mean)/standard deviation. Ex 6A (1,2, 3) p201.
TERM 1:
Chapter 1 : Credit and Borrowing - Flat Rate (simple interest) Loans, Credit Cards, Reducing Balance Loans (paying off a mortgage), Comparing Loans and Rates,
Future and Present Value FV = PV(1+r)^n - just like compound interest formula.
Homework: Review Test 1 and (Examination Question p29-30 (NEW BOOK) or Review Set A (IF YOU HAVE THE OLD BOOK))Due 14th February. Full working must be shown.
Chapter 8 : Annuities & Loan Repayments:
7/2 - What is an annuity? finding the Future Value of an Annuity (FVA) Ex 8A
10/2 - Using Tables with Annuities - FVA of an annuity. Ex 8B
11/2 - Present Value of an Annuity 8C. Using Tables with Annuities - PVA of an annuity. Ex 8D .
14/2 - Past HSC Questions Sheet.
Homework: Complete Practice Test on Chapter 1. Due 21st February.
credit__borrowing_yr_12_gen.pdf |
15/2 - Continue with 8D. Past HSC Questions Sheet.
17/2 - 8B Q15 Using a formula to generate the values found in a Future Value Table. Q26 8D Using a formula to generate the values found in a Present Value Table. Finding the payments for a mortgage using the Present Value Table.
18/2 - Ex 8E, 8F.
21/2 - Start Probability: Sample Space, Fundamental Counting Theorem & Ordered Arrangements. Ex7A-7C.
24/2 - Ordered and Unordered selections. How many ways can a captain and vice-captain be chosen from 6 players? How many ways can a committee of 2 be chosen from 6 people? Ex7E, 7F.
25/2 - Probability and Probability Trees Homework: New Textbook Ex 7F (every 4th) Ex7G (every 2nd). Due 28th February.
Old Textbook :Exercise 7F Q1-17 (odd questions) Exercise 7G (p227) Q1,3,5,7,9,10 Due 28th February.
28/2: Ex7H (1,9), 7I (1), 7J(1,3) Extension 7K (1,2,3)
3/3: Financial Expectation is found by multiplying each financial outcome by its probability. Ex7K Q1-19.
4/3: Financial Expectation of playing the lottery Ex7K Q20-21. Start handout sheets on past HSC questions on Probability. Please finish for homework due Monday 10th March.
17/2 - 8B Q15 Using a formula to generate the values found in a Future Value Table. Q26 8D Using a formula to generate the values found in a Present Value Table. Finding the payments for a mortgage using the Present Value Table.
18/2 - Ex 8E, 8F.
21/2 - Start Probability: Sample Space, Fundamental Counting Theorem & Ordered Arrangements. Ex7A-7C.
24/2 - Ordered and Unordered selections. How many ways can a captain and vice-captain be chosen from 6 players? How many ways can a committee of 2 be chosen from 6 people? Ex7E, 7F.
25/2 - Probability and Probability Trees Homework: New Textbook Ex 7F (every 4th) Ex7G (every 2nd). Due 28th February.
Old Textbook :Exercise 7F Q1-17 (odd questions) Exercise 7G (p227) Q1,3,5,7,9,10 Due 28th February.
28/2: Ex7H (1,9), 7I (1), 7J(1,3) Extension 7K (1,2,3)
3/3: Financial Expectation is found by multiplying each financial outcome by its probability. Ex7K Q1-19.
4/3: Financial Expectation of playing the lottery Ex7K Q20-21. Start handout sheets on past HSC questions on Probability. Please finish for homework due Monday 10th March.
hsc_probability_questions_homework_due_monday_10th_march.pdf |
7/3: Finish Probability Revision Sheets. Start Chapter 4 Data Sampling. Review 4A-4D (Mean, Mode, Median etc.).
10/3: Continued with 4A-4C. Mean. mode, median, range, standard deviation, IQR.
14/3: I'm away today. Please go to the library and complete 4A-4C. 4D (1(a), 3,5,7,9 to 12)
17/3: Describing the shapes of frequency distribution graphs. Ex4E (1,3), 4F(1,5,8,9,10) 4G(1,3,5,7,9)
Half Yearly Examination: Topics to be tested are: AM3,AM4,AM5 Algebra & Linear/Non-Linear Relationships (Chapters 3,9,12), FM4,FM5 Credit & Borrowing, Annuities (Chapters 1,8) & PB2 Probability (Chapter 7), DS4 Data (Chapter 4) NB: Chapters are from the NEW textbook.
10/3: Continued with 4A-4C. Mean. mode, median, range, standard deviation, IQR.
14/3: I'm away today. Please go to the library and complete 4A-4C. 4D (1(a), 3,5,7,9 to 12)
17/3: Describing the shapes of frequency distribution graphs. Ex4E (1,3), 4F(1,5,8,9,10) 4G(1,3,5,7,9)
Half Yearly Examination: Topics to be tested are: AM3,AM4,AM5 Algebra & Linear/Non-Linear Relationships (Chapters 3,9,12), FM4,FM5 Credit & Borrowing, Annuities (Chapters 1,8) & PB2 Probability (Chapter 7), DS4 Data (Chapter 4) NB: Chapters are from the NEW textbook.
12_half_yearly_exam_notiifcation_2014.doc |
year_12_half_yearly_revision_homework.pdf |
2012_hsc_mc_answers.pdf |
2012_hsc_short_answers.pdf |
18/3: I'm away today. Please go to the library and finish the work on Chapter 4. If you finished you can start the revision questions above. I've got a hard copy to give you next lesson.
2013_general_maths_half_yearly_hsc_mc_answers.doc |
2013_general_maths_half_yearly_hsc.docx |
solutions_to_2013_hsc_general_maths_hy_exam.pdf |
21/3: Finish Chapter 4 today. We will start some official revision next week. Last year's Half Yearly Exam is above. Please complete this as revision however be mindful that due to the change in syllabus some of the questions won't be tested in your upcoming exam.
24/3: Revision Lesson 1 of 5. You have 7 chapters to revise in 5 lessons. This is approximately 50minutes per lesson on each chapter. Please make sure you target those chapters that you may need extra help on. I recommend going over worked solutions in your textbook, reviewing end of chapter diagnostic tests and examination questions, last year's Half Yearly (above) and most importantly reviewing the past HSC questions (see 17/3 Half Yearly Revision Homework).
24/3: Revision Lesson 1 of 5. You have 7 chapters to revise in 5 lessons. This is approximately 50minutes per lesson on each chapter. Please make sure you target those chapters that you may need extra help on. I recommend going over worked solutions in your textbook, reviewing end of chapter diagnostic tests and examination questions, last year's Half Yearly (above) and most importantly reviewing the past HSC questions (see 17/3 Half Yearly Revision Homework).
half_yearly_revision_-_hsc_questions_2011.pdf |
Multiple Choice Answers 2011 (above): 5B (3x2x1=6) D when x=0 y=a^0 = 1 7B (50% of the scores of 140 & 155 therefore it has a long tail pointing towards the positive direction. 10C - 39 days x 2100 x 0.1974/365 11B - Mode in x is 9, Mode in y is 8 Range in both is 6 :x=9-3=6; y=11-5=6 12A ,14B As 2 are above and 2 are below the median it will stay the same. 15B 17C 18A 19B 20C 21A 22 (Each month has 30.4166666... days) A
25/3: Revision Lesson 2 of 5. Please complete the past HSC questions from 2011. This is essential revision in your preparation.
28/3: Revision Lesson 3 of 5.
31/3: Revision Lesson 4 of 5. Well done, great effort everyone.
1/4: Revision Lesson 5 0f 5. All the best with your exams everyone. Use your time wisely. Remember to go over the past HSC questions - there is no better practice!
25/3: Revision Lesson 2 of 5. Please complete the past HSC questions from 2011. This is essential revision in your preparation.
28/3: Revision Lesson 3 of 5.
31/3: Revision Lesson 4 of 5. Well done, great effort everyone.
1/4: Revision Lesson 5 0f 5. All the best with your exams everyone. Use your time wisely. Remember to go over the past HSC questions - there is no better practice!