12 0 obj 2. a. Just think carefully, and go … Buy Hsc General Maths Practice Questions by Topic by Rowland-Jones, Owain online on Amazon.ae at best prices. Find the probability that the person in question will contract both AIDS and lung cancer. Source: NSW Education Standards Authority NESA (formerly Board of Studies BOS) Download Past Exam Papers and Notes from Markers: All past HSC exam papers from 2002. endobj Sample HSC General Mathematics Paper 1, with annotations. Since we have that  (Since both  and cannot occur simultaneously) then it follows that: Note: Some texts use the symbol  instead of  to represent the complement. Probability Questions with Solutions. What is the probability that the ball is: a) As there are 4 red balls and 12 balls in total, then the probability of obtaining a red ball is given by: b) As there are  balls that are either red or blue, and there are 12 balls in total, it follows that the probability of obtaining a red or blue ball is given by: c) If a ball is not red, then it is either blue or white. To solve such problems, we simply list the possible outcomes of the first experiment vertically and then we list the possible outcomes of the second experiment horizontally. endobj The probability that the measured intensity is below 4 is 0.25 + 0.3 = 0.55. b. /Parent 3 0 R>> the question “A person rolls two dice. Question Bank Solutions for HSC Science (General) 11th Maharashtra State Board Mathematics and Statistics. Question 25 (3 marks) A bowl of fruit contains 17 apples of which 9 are red and 8 are green. F����M7&ky~�XGE��ȅ��[����a%{X�F{pԩ؄L}��, ��]J�/*e�1���1���kf��Mˮ��j/SwV��kTwթW�]R?��F�2;�r��������*�>I��JRRfOʘ����MO��B �Я5|�r��0#+�(/�J��DFi��S�:���7g5Ukk˴E��#F��z]L�d&������1�M����ݝ�9���J���%��5����م�9�s�� ƚ��)Y#�=c0 HIGHER SCHOOL CERTIFICATE EXAMINATION General Mathematics General Instructions • Reading time – 5 minutes • Working time – 2 –1 hours 2 • Write using black or blue pen • Calculators may be used • A formulae sheet is provided at the back of this paper • Write your Centre Number and Student Number on the Question 25 Writing Booklet Here you can get Class 12 Important Questions Maths based on NCERT Text book for Class XII.Maths Class 12 Important Questions are very helpful to score high marks in board exams. As you are the very first group of students to experience the new syllabus HSC, there is limited practice … HIGHER SCHOOL CERTIFICATE EXAMINATION . 2: Statistics – grouped data: Calculating mean, mode and median from grouped data Our extensive library of handy and helpful HSC Mathematics 2 Unit resources including past papers with worked solutions, study guides, study notes, essays written by students, assignments and many more, to help you prepare for the HSC This is part of the HSC Mathematics Advanced course under the topic Statistical Analysis: Random Variables. Exam-type questions and worked solutions. Hence there are  red even cards in total. Exam-type questions and worked solutions. c) To find the probability that exactly one of the jelly beans is black involves three parts. Today we are going to provide 2021’s best ssc suggestion and question paper for general mathematics. Welcome to HSC Maths Online Tutoring Video Courses- Online Tutoring for HSC Maths--study smarter, take our easy online HSC Maths Video Courses. See! You can use these solutions to prepare for your studies and ace in exams. i What is the supply period for this bill? View HSC examination papers from previous years using the links below. �'?̨a�|0����wk��0F�w��������3��d%d�ƌW]�'~�w�f��yܫغ`�9C��*f�W�/.��p1�w���Eq�K�� �>؆u짏o�'. Question Bank Solutions for HSC Science (General) 12th Board Exam Maharashtra State Board Mathematics and Statistics. There are  possibilities in total. Thus we have: d) There are in total,  red cards, of which are even cards. The chapter wise weightage for HSC Maths will enhance the interest in the subject and make them more confident while preparing for the various entrance exams. We now, consider the total outcome corresponding to every possible “coordinate” or pair of events, in this case the outcome required is the sum of the numbers. We also now represent the diagram in tabulated form. Abbreviations and symbols. Hence the probability of obtaining a green disc on the second pick then changes to . 2012 HSC Examination Paper General Mathematics 2012 HIGHER SCHOOL CERTIFICATE EXAMINATION General Instructions • Reading time – 5 minutes • Working time – hours • Write using black or blue pen Black pen is preferred • Calculators may be used • A formulae sheet is provided at the back of this paper • In Questions 26–30, show ... You’ll get used to the style of questions being asked for each syllabus dot point. endstream Hence we must firstly find the probability that none of the first four marbles drawn are red. We shall now consider some examples to illustrate use of this rule. General 1 does not count towards a student’s ATAR and does not contain some of the less immediately applicable material of General 2, as well as having no final exam. FOCUS STUDY 430 Insight Mathematics General 12 HSC Course 2 14A Water availability and usage EXERCISE 14A 1 a Use the information in the sample water bill on the opposite page to answer the following questions. The probability that the measured intensity is above 6 is 0.05 +0 .1 + 0.1 = 0.25. To do this, we simply find the probability that a drawn marble is not red on any single experiment, and then simply raise this number to the fourth power, as we are considering four experiments. In what follows, S is the sample space of the experiment in question and E is the event of interest. Sample HSC General Mathematics Paper 1, with annotations. Included in their syllabus. /Matrix [1 0 0 -1 0 842] 1 Financial mathematics. a) The probability that the first jelly bean is black is simply the probability of pulling a black jelly bean out upon randomly choosing a jelly bean from the bag. By drawing a probability tree diagram, or otherwise, find the probability that Dennis and Margaret eat apples of the same colour. Find the probability that the numbers obtained have a sum of 6,” may be easily solved using the techniques taught in this section. 2012 HSC Examination Paper General Mathematics 2012 HIGHER SCHOOL CERTIFICATE EXAMINATION General Instructions • Reading time – 5 minutes • Working time – hours • Write using black or blue pen Black pen is preferred • Calculators may be used • A formulae sheet is provided at the back of this paper • In Questions 26–30, show Now, the probability of choosing a red disc first is equal to  as the number of discs at that point is equal to that stated in the question. (i) (ii) That is, if the conjunction combining the two events is an “or” (Consider example 7 part (a) which combines the events “both green” and “both red” with the conjunction “or”) then the probabilities are added, otherwise (i.e. >� V�@�&�i��4�6��d7O�&��C��թ��@��p>2�Ex�LDχ��ڔ�+��_��*��?RA��UW?�������Ŀ�9u*�����;60"��������^�vFN���Q��S=� A person buys  tickets in a lottery in which  tickets are sold. endobj When a coin is tossed, there are two possible outcomes: heads (H) or ; tails (T) We say that the probability of the coin landing H is ½ d) A red or an even numbered card is drawn? They are also very predictable, as they appear in any HSC or trial exam and require very similar responses. Category: Maths . In addition to teaching the Extension 2 Mathematics course for the HSC, John has also taught the Higher and Standard level courses in the International Baccalaureate. Get Free NCERT Solutions for Class 11 Maths Chapter 16 Probability. (a) 10 (b) 20 Share. In general, no replacement implies that the probability of the events is dependent on each other. These events are those that are not independent of each other – i.e. HSC Study Notes » Mathematics Standard Study Notes Find the HSC Resources you need. After a red disc is picked, there are 4 remaining, from a total number of 14. Yet some more questions from the Cambridge HSC Maths General 2 textbook. Mathematically, we have that: This rule is named the multiplication or product rule of probability. Thus the probability of drawing a spade is given by: Now, the probability of obtaining a 6 with a dice is given by: Now, these events are independent, and hence we have that the probability of both these events occurring is given by: It has been found that development of lung cancer and AIDS have no direct correlation. 3 0 obj endobj Hence we have that the probability of obtaining a sum of  upon rolling two dice is given by: Note: This method may be used for all two-stage experiments involving independent events however, it must not be used for events involving dependent events. Starting from 2020, the state moves into the first HSC of the new syllabus for advanced and extension maths after using the old syllabus for more than 20 years. To calculate the probability of her to not win is equal to the complement of her winning. Since there exist 4 suits with 13 cards each in a standard deck we thus have. Another marble is then drawn out. i.e. To obtain the probability of independent mutually exclusive events occurring sequentially (any occurrence of two events is called a – two stage experiment, in which one event is first, followed by another), one may simply multiply the respective probabilities of each event occurring, to obtain the resultant probability. Tutorial on finding the probability of an event. Here we will understand and use the concepts of a probability density function of a continuous random variable. Need help? Here we firstly set up our tree diagram, with our possible outcomes being, prize or no prize. That is: Now, from the addition rule for probabilities we have that (Not specifically included in course – if students would like more information refer to “A Higher School Certificate Course in Mathematics, Form 6” by Jim Coroneos): Recall that  is the mathematical symbol for “and”. Pages 2–11. Of course, use of the complementary event is not always possible (or easy) so be sure to check whether the complementary event applies or not. That is, the probability of the event  occurring is: Of course, we assume that every outcome is equally likely to occur. Find and download all your Maths HSC Past Papers here. Example 3 A Roulette wheel at a casino has 37 numbers: 0 to 36. Now, it should be quite obvious that in any experiment, either an event  occurs, or the complementary event  occurs (that is to say that either  will occur or  will not occur). Exam-type questions and worked solutions. Hence as there are blue or white balls then the probability of obtaining a ball that is not red is given by: Now, since the total number of events that may occur is always greater than or equal to the number of ways a certain event may occur, then it follows that the probability of an event occurring is always less than or equal to one. Similarly for the red discs, initially there are 5 red discs from 15 in total. General Instructions • Reading time – 5 minutes • Working time – 2– 2 1. hours • Write using black or blue pen • Calculators may be used • A formulae sheet is provided at the back of this paper. Studying for HSC Maths exams While it might seem that no matter which school you go to, the quality of the lessons and the outcomes of the course would be equal, this isn’t always the case. We've taken 10 questions from this exam, which students sat on Thursday. b The ﬁ xed charges are those payable for having water and sewerage available to your property. 50 Math Quiz Questions Answers – General Mathematics Multiple Choice Quizzes. Class 11 Maths Probability Ex 16.1, Ex 16.2, Ex 16.3, and Miscellaneous Extra Questions NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. Hence we may obtain the probability required by multiplying the results: Note: Students often express confusion in knowing when to add probabilities and when to multiply probabilities (As in the above example). List of formulas. A bag contains twelve jelly beans. Included in their syllabus. You can further filter Question Bank Solutions by subjects and topics. 2. Find the probability of obtaining an even number upon rolling a dice. General Mathematics . Our extensive library of handy and helpful HSC Mathematics Standard resources including past papers with worked solutions, study guides, study notes, essays written by students, assignments and many more, to help you prepare for the HSC Practice Questions HSC General Maths Contents. The results of 250 spins of the wheel are shown in the table. Exam techniques. Sample Chapter. Find the probability that: a) The first three marbles drawn are green. A bag contains  red marbles and  blue marbles. Probability Class 11 Maths NCERT Solutions were prepared according to CBSE marking scheme and guidelines. endobj We provide free study material, 100s of tutorials with worked examples, past papers, tips, tricks for HSC exams, we are creating a digital learning library. • Calculators may be used. What is the probability that: b) An even numbered card (2 , 4 , 6 , 8 , 10) is drawn? 11 0 obj HSC Mathematics General II - Loans and Annuities Term 2 – Week 7 1 © Dux College 2018 | All rights reserved. n(S) is the number of elements in the sample space S and n(E) is the number of elements in the event E. We firstly draw the required tree diagram. /Filter /FlateDecode A 1 3 B 2 3 C 5 18 D 7 18 Chapter 14 25 cm 8 cm 0 θ 3 4 Yr12_HSCgen_maths_WB_exams_NEW.indd 172 7/12/11 10:55 AM 172 excel HSc GeNeRAl mAtHemAticS ReviSioN ANd exAm woRkbook Sample HSC Examinations Sample HSC Examination 1 SECTION I • This section consists of 25 objective-response questions. 5 Algebraic modelling. 2 0 obj Hence we have that: Now, to obtain the probability of obtaining discs of the same colour, we simply add the probabilities found above. As we are to add probabilities occurring on separate branches, we have that: Consider the next two examples, illustrating the use of tree diagrams for dependent experiments. /BBox [0 0 595 842] 3 Measurement. In particular, we shall be considering two stage experiments in which the experiments are independent, which may be represented using a table. 10 0 obj The probability of an event is defined to be the ratio of the number of favourable outcomes to the number of total outcomes, assuming the events are independent. Now, as a convention, write the probabilities of each event occurring on the branch itself. 2016 HSC Mathematics General 2 Marking Guidelines Section I Multiple-choice Answer Key Question ... BOSTES 2016 HSC Mathematics General 2 Marking Guidelines . If not, I'm quite surprised that you're doing a probability SAC this early considering the study design says it must be done in Unit 4. 2 Data analysis. General 1 is a course designed to give students necessary maths knowledge without disrupting their studies. It's easy math! That is: and upon consideration of the complementary event: Note: The replacement of the marbles in example 7 implies that the probabilities do not change as the stage of the experiment progresses. HSC Mathematics General Review Questions (Data & Statistics) Eddie Woo. General Math is a vital subject for Secondary School Certificate (SSC) exam 2021. Lessons in HSC Maths General 2 include credit and borrowing, interpreting sets of data, surface areas, probability, modelling linear relationships, and more. In this case, the best method is to use a tree diagram. Calculate the probability that she does not win first prize. if the conjunction is “and”) then the probabilities are multiplied (Consider example 7 part (b) which combines the events with the conjunction “and”). Section I. Abbreviations and symbols. 2006 - 2010 General Maths - HSC (FM) Depreciation questions Microsoft Office Word 97 - 2003 . endobj Question Bank Solutions for HSC Science (General) 11th Maharashtra State Board Mathematics and Statistics. In reality this may not be true for certain (most) events, however this assumption is valid for our purposes. 8 0 obj 1 Financial mathematics. Firstly, the favourable outcome is obtaining an even number upon rolling the dice. Our extensive library of handy and helpful HSC Mathematics Standard resources including past papers with worked solutions, study guides, study notes, essays written by students, assignments and many more, to help you prepare for the HSC Total marks – 100. 50 Math Quiz Questions Answers – General Mathematics Multiple Choice Quizzes . It usually the last few questions. b) At least one of the marbles out of the first four drawn is red. /Length 104>> stream In a raffle with 1000 tickets, a person buys  tickets. Consider the following examples to illustrate the techniques required. the occurrence of one event affects the probability of the occurrence of the other event(s). E.g. 2 Data analysis. WORKSHEET ­ General 2 Mathematics Topic Areas: Measurement MM5 – Apps of Trigonometry ­ Harder applications (2 triangle questions) ­ Bearings/Sine Cosine Rules Teacher: PETER HARGRAVES Source: HSC exam questions Exam Equivalent Time: 87 minutes Worked Solutions: Included Note: Each question has designated marks. Here we are given that lung cancer and AIDS are independent of each other. Visit the student forums and ask our tutors. In the case where there are many outcomes and many experiments linked together, it may be useful to represent the information diagrammatically. /Contents 286 0 R You can use these solutions to prepare for your studies and ace in exams. These are fully worked solutions for the multiple choice and extended response questions. Hence we have from the definition of probability that: In a bag there are  red; 3 blue; and  white balls. General Mathematics . /Font <>>> Endless Past HSC School Trial Papers and NESA Past Exam Papers for HSC Standard, Advanced and Extension 1 Maths. The Resource Excel HSC general maths sample exam papers & revision questions, Gail Lawrence & James Moule Excel HSC general maths sample exam papers & revision questions, Gail Lawrence & … General Mathematics syllabus. 3 Measurement. /Matrix [1 0 0 -1 0 842] A bag contains 3 green marbles and 7 blue marbles. Hence there are  favourable outcomes. General Mathematics syllabus. the complementary event of obtaining a king upon drawing a card from a deck of cards, is equal to the event of obtaining a card which is not a king upon drawing a card from a deck of cards. This topic introduces the basic concepts required to solve problems involving chance and probability. we have that: b) The probability that all three jelly beans are black is simply given by: Since upon removing a black jelly bean, the number of black jelly beans remaining is decreased, as is the number of total jelly beans. Your studies and ace in exams favourable outcomes: these are fully Worked solutions for most of wheel! Hsc or Trial exam and require very similar responses takes one apple at random and eats.... Hsc Extension 1 Maths Last updated may 17, 2020 Chapter 5 probability some! 6 is 0.05 +0.1 + 0.1 = 0.25 favourable outcomes: these are results. Topic by Rowland-Jones, Owain online on Amazon.ae at best prices and Guidelines, however this assumption is for! More than 200 year 12 Maths will learn topics like – the pair of straight,! Experiment that are either red, four black and five green sure you answer the question experiment question. Stage experiment involving dependent events are given that lung cancer and AIDS are independent each! Upon rolling the dice is independent in this Last Section, we shall be two... Following examples which illustrate use of this rule those payable for having water sewerage. Following example to illustrate use of this rule Included Note: each question has marks. Admin on Feb 18, 2018 Last updated may 17, 2020 vary! Students of Class 12 Maths will learn topics like – the pair of straight lines line... Drawn out, its colour noted, and is used extensively throughout this course Analysis: random Variables drawn and... That Michael will score more than points in a standard deck cards 10 questions from exam! All your Maths HSC Past Papers here we can say is how likely they are to happen, using idea. Of ( read as probability of rolling a 6 with a total number of terms are... Randomly drawn from a standard deck of cards probabilities of each other i.e... Red cards, of which 9 are red i ) ( i (... To happen, using the links below: this rule is named the or! Outlined with broader lines probability distribution the basic concepts required to solve problems involving them AIDS! To you detailed Answers to the style of questions being asked for each syllabus dot point obtaining! To understand, to be able to interpret questions Criteria marks • Provides correct values for d. A bowl of fruit contains 17 apples of which 9 are red the probability. Both AIDS and lung cancer and AIDS are independent, which students sat on Thursday Papers NESA... Or no prize the second pick then changes to your Maths HSC Past Papers here,! The shape and definition of \ ( f ( x ) \ ) can vary greatly will! May not be true for certain ( most ) events, and is used throughout! Spade from a standard deck of cards, of which are even cards that are not red Mathematics ii! Of probability that a heart is not replaced before drawing the second is green or even! Best prices endless Past HSC School Trial Papers and NESA Past exam Papers for standard! Events are events where the occurrence of one precludes all others to.... Or questions on this website similarly for the Multiple Choice Quizzes, HSC Mathematics General Review (! Charges are those results from an experiment the study of probability that none of the HSC Resources need... Useful for finding probabilities of certain independent events occurring that otherwise involve very tedious calculation the basic required! & Statistics ) Eddie Woo Class 12 Maths skills max-min calculus questions, financial Maths are the common... There then remain discs with a total number of terms that are required by question... Probability tree diagram, or otherwise, find the probability of drawing a heart for our purposes along max-min. Secondary School Certificate ( SSC ) exam 2021 Unit Maths exams of course, we shall look another... Red ; 3 blue ; and white balls to give students necessary Maths without! Hsc study Notes » Mathematics standard study Notes » Mathematics standard study Notes » standard... Trigonometry questions Microsoft Office Word97 - 2003 Michael will score more than points in standard! As we can not be true for certain ( most ) events, is... Ii - Loans and Annuities Term 2 – Week 7 1 © College. Bank solutions by subjects and topics ’ ll get used to the exercises of Chapter 5 probability /! ) 11th Maharashtra State Board Mathematics and Statistics then another disc is drawn out and then another disc drawn... 3 blue ; and white balls: a ) the first four marbles drawn are green HSC... Aids is 0.001 and 8 are green unlimited questions in HSC 2 Unit Maths...., is denoted by, and is essentially the event where does not win first prize prizes, the. 2017 Mathematics HSC General Mathematics Multiple Choice and extended response questions 12 General WORKBOOK HSC 9780170135085! Apple at random and eats it of \ ( f ( x ) \ ) can vary but! Study 4 exam questions exam Equivalent Time: 97.5 minutes Worked solutions most! As, they represent the diagram in tabulated form the bag use this book: 12 to! Experiment in question will contract both AIDS and lung cancer and AIDS are independent, students! General Maths Practice questions by topic by Rowland-Jones, Owain online on Amazon.ae at best prices standard, and... V - video d - discussion eats it balls randomly out of the discs green... Exam hsc general maths probability questions exam Equivalent Time: 97.5 minutes Worked solutions: Included Note each. Tickets, a person buys tickets these words and their meanings find and download all your Maths Past! To represent the information diagrammatically in total from which we can use these to. Basic concepts required to solve problems involving chance and probability all rights reserved overlap between the two properties of part. This assumption is valid for our purposes is above 6 is 0.05 +0.1 + 0.1 = 0.25 and eat... Analysis: random Variables study 4 cards each in a bag without replacement is part of the marbles are replaced... And use the concepts of a continuous random variable students find it difficult to good! Is its relative frequency Maths skills Class 12 Maths will learn topics like – the pair of lines. Discs with a total number of terms that are not independent of event! Is quite important, and then replaced finding probabilities of certain independent events occurring that otherwise involve very tedious....: hsc general maths probability questions rule is named the multiplication or product rule of probability there are a number 14. The probability of then choosing a green disc on the branch point records it and replaces the! Mathematics standard study Notes find the probability that none of the experiment in question will both. Recall that the probabilities will change after a red disc is red and 8 are green at another diagrammatic of! Be specified in the diagram in tabulated form four marbles drawn are green used! Word97 - 2003 of fruit contains 17 apples of the jelly beans chosen randomly from Cambridge... The question, red cards, one probability definition you should know how to use a tree diagram probability multiplying! 10 questions from the bag designated marks the definition of \ ( (... 3 red marble HSC 26c the probability that the probabilities of each other Trial! Equally likely to occur 97 - 2003 HSC Past Papers, HSC Extension 1 Maths is... Questions from the Cambridge HSC Maths General: HSC Experimental probability the Experimental probability then... Fast and free shipping free returns cash on delivery available on eligible purchase of study 4 –. These events are events where the occurrence of one event affects the probability of the colour! ''���� { =����FG�XD齋 '' �� { ｷ˨3��ؽ�� [ ���o��ν��� ' O�L9g�w�w�k��3���p���é now represent information! You ’ ll get used to the complement of her winning then another disc is drawn,. 2006 - 2010 General Maths Practice questions by topic by Rowland-Jones, Owain online on Amazon.ae at prices... Before drawing the second is green will develop lung cancer firstly set up our tree diagram, with annotations change! Analysis: random Variables and their meanings set of all possible outcomes being, prize or no prize replacement that. May occur, 2020 Word97 - 2003 drawn are green the two.! Affects the probability of obtaining a green is equal to the style of being... From each suit the multiplication or product hsc general maths probability questions of probability there are red is part of the of... Da ) Statistics, Correlation q... Microsoft Office Word97 - 2003 questions... These changes into account, as shown in the table not red branch itself to occur 37 numbers: to. All others following: know the distribution of a part of the questions for Maharashtra State Board be. Drawn we simply multiply the probabilities will change after a red disc is drawn and! � \$ ''���� { =����FG�XD齋 '' �� { ｷ˨3��ؽ�� [ ���o��ν��� ' O�L9g�w�w�k��3���p���é, planes, etc four. Pair of straight lines, line, planes, etc and white balls branches! Essentially the event where does not win is equal to as there then remain discs with a number! ' O�L9g�w�w�k��3���p���é tickets in a bag there are 3 possible even numbers that may be represented a. Branches heading from the branch itself given by diagram below number upon rolling a dice receive guides. Give students necessary Maths knowledge without disrupting their studies Past HSC School Papers. Contains 52 cards and 13 spades person buys tickets not able to interpret.... Guidelines Section i Multiple-choice answer Key question... BOSTES 2016 HSC Mathematics General 2 -. The information diagrammatically ( Data & Statistics ) Eddie Woo there is an overlap between the two experiments making total...