SOUTH AFRICAN MATHEMATICS OLYMPIAD Organised by the SOUTH AFRICAN MATHEMATICS FOUNDATION 2012 FIRST ROUND SENIOR SECTION: GRADES 10‚ 11 AND 12 19 March 2012 Time: 60 minutes Number of questions: 20 Instructions 1. This is a multiple choice question paper. Each question is followed by answers marked A‚ B‚ C‚ D and E. Only one of these is correct. 2. Scoring rules: 2.1. Each correct answer is worth 5 marks. 2.2. There is no penalty for an incorrect answer or any unanswered question. 3. You
Premium Grammatical person Regular polygon Number
mother of Europe’s languages. India was the mother of our philosophy‚ of much of our mathematics‚ of the ideals embodied in Christianity... of self-government and democracy. In many ways‚ Mother India is the mother of us all." - Will Durant‚ American Historian 1885-1981 Mathematics is an important field of study. Mathematics is essential as it helps in developing lots of realistic skills‚ in fact study of mathematics itself include the concepts related to the routine lives of human. It not only develops
Premium
2012 Experiment 32: Identification of a Conjugated Diene from Eucalyptus oil Introduction In this experiment‚ the purpose was to prepare the Diels-Alder adduct of the unknown conjugated diene in Eucalyptus oil and determine the approximate percentage of diene in Eucalyptus oil. To discover the product of this reaction‚ isolate the adduct‚ and classify the diene from the melting point of its adduct. The unknown was one of four conjugated dienes. Maleic anhydride
Premium Diethyl ether Carbon Temperature
Randse Afrikaanse Universiteit Rand Afrikaans University TOEGEPASTE WISKUNDE 1B APPLIED MATHEMATICS 1B 1. P.4.3.1 2. P.4.3.2 3. P.4.3.3 Vraag 4 Vir die massa in P.4.3.3 by t = 3sek. bereken: (a) Die hoekspoed van die massa om die oorsprong. (b) Die krommingstraal van die boom. (c) Die koordinate van die krommingsmiddelpunt. Question 4 For the mass in P.4.3.3 at t = 3sec. calculate: (a) The angular velocity of the mass around the origin. (b) The radius of curvature of the trajectory. (c) The coordinates
Premium Velocity Mathematics
of any circle’s circumference to its diameter in the Euclidean plane; this is the same value as the ratio of a circle’s area to the square of its radius. It is approximately equal to 3.14159265 in the usual decimal notation. Many formulae from mathematics‚ science‚ and engineering involve π‚ which makes it one of the most important mathematical constants. π is an irrational number‚ which means that its value cannot be expressed exactly as a fraction m/n‚ where m and n are integers. Consequently
Premium Circle
GENERAL AND SPECIFIC COMPETENCIES IN MATHEMATICS IV (Advanced Algebra‚ Trigonometry and Statistics) A. Functions 1. Demonstrate knowledge and skill related to functions in general 1.1 Define a function 1.2 Differentiate a function from a mere relation * real life relationships * set of ordered pairs * graph of a given set of ordered pairs * vertical line test * given equation 1.3 Illustrate the meaning of the functional notation f(x) 1.4 Determine the value of
Premium Function
Zero is a number and a digit used in mathematics to represent that number in numerals. Zero is not a natural number but it is the smallest whole number. There are two important uses of zero. Firstly‚ in place value number system it is used as empty place indicator. Hence‚ in this number‚ 5102‚ the positions of 5 and one are correct just because of the inclusion of zero. Five is denoting a thousandth place value. Similarly if we omit zero from 5102 that is 512‚ then 5 denote a hundredth place value
Premium Integer Natural number Numeral system
Surname Centre No. Candidate No. Paper Reference(s) Initial(s) Paper Reference Signature 6 6 6 3 6663/01 0 1 Examiner’s use only Edexcel GCE Core Mathematics C1 Advanced Subsidiary Monday 10 January 2011 – Morning Time: 1 hour 30 minutes Team Leader’s use only Question Leave Number Blank 1 2 3 4 Materials required for examination Mathematical Formulae (Pink) Items included with question papers Nil 5 6 7 8 9 Calculators may NOT be used in this examination
Premium
MATHEMATICS OF INVESTMENT Simple Interest If you borrow a car from a car rental company or if you live in someone else’s house or apartment‚ you have to pay rent. Like paying rent for the use of a car or a house‚ you also have to pay rent for the money you borrowed. This is called interest. People like Marco earn by charging interest on loans. Banks earn most of their income from the interest that people pay for the amounts they borrow. How much interest one has to pay depends on three factors:
Premium Interest Compound interest Debt
PEDAGOGICAL STRATEGIES FOR THE TEACHING OF MATHEMATICS IN NIGERIAN PRIMARY SCHOOLS FOR SCIENTIFIC AND TECHNOLOGICAL DEVELOPMENT BY AJILEYE‚ Adewole Mukaila Department of Mathematics Osun State College of Education‚ Ilesa E-mail: ajileye4ever@yahoo.com Abstract For a country to be technologically developed there is need for efficient handling of mathematics at levels of education. The perennial low performance of pupils in mathematics has been attributed among other things to inadequate
Premium School Teacher Primary education