INTERNATIONAL BACCALAURÉAT BACHILLERATO c BACCALAUREATE INTERNATIONAL INTERNACIONAL M02/540/S(1)M+ MARKSCHEME May 2002 FURTHER MATHEMATICS Standard Level Paper 1 9 pages –3– M02/540/S(1)M+ Paper 1 Markscheme Instructions to Examiners 1 Method of marking (a) (b) All marking must be done using a red pen. Marks should be noted on candidates’ scripts as in the markscheme: ! show the breakdown of individual marks using the abbreviations (M1)‚ (A2) etc. ! write down each part mark total‚ indicated
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In Mathematics‚ a periodic function is a function that repeats its values in regular intervals or periods. Periodic functions are used throughout science to describe oscillations‚ waves‚ and other phenomena that exhibit periodicity. Periodic functions are those that repeat on a set interval. All trigonometric functions are periodic. They are useful because one can determine the value of the function anywhere in the domain. If a function is periodic‚ then there is some value n for which
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GCSE Mathematics – Aiming for an A or Better Grade Criteria and exemplar examination questions to get a Grade A or A* in the following topics: 1. Surds 2. Recurring Decimals 3. Limits of Accuracy 4. Indices 5. Proportionality 6. Rearranging Formulae 7. Algebraic Fractions 8. Using Graphs 9. Quadratic Equations 10. Simultaneous Equations 11. Algebraic Proofs 12. Circle Theorems 13. Trigonometry – for triangles which are not right-angled 14. Vectors
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b. 0 c. -6 d. 2 1. if f(x) =x3 +ax+b is divisible by (x-1) 2 ‚then the remainder obtained when f(x) is divided by (x+2) is ; a. 1 b . 0 c. 3 d. -10 3. the remainder when x1999 is divided by x2-1 is a. 0 b. x c. 1 d. x-1 4. if α ‚β are the roots of x2 –p(x+1)+c=0 then the value of
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Homework #4 - SQL Use the following (denormalized) database schema (and the attached tables) to write the queries. Publishers (custid‚ name‚ city‚ phone‚ creditcode) Bookjobs (jobid‚ custid‚ jobdate‚ descr‚ jobtype) POS (jobid‚ poid‚ podate‚ vendorid) Items (itemid‚ descr‚ onhand‚ price) Po_Items (jobid‚ poid‚ itemid‚ quantity) For each question‚ turn in the Oracle SQL query and the output. You should feel free to do these by hand (paper and pencil)‚ or you may actually run them
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Ma KEY STAGE 2 LEVELS 2005 3– 5 2005 This booklet contains CONFIDENTIAL test questions. It MUST BE KEPT SECURE. It should not be opened until the mental mathematics test is due to start on Thursday 12 May. Early opening‚ up to one hour before the test starts‚ is permissible only if papers are needed for administrative purposes. Mathematics tests Mental mathematics test Audiotape/CD transcript This booklet contains a transcript of the key stage 2 mental mathematics test
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They allow the employees to make decission for themselves. They also focus on supporting their employees in their personal and professional growth. They offer a wellness program for all employees. They look at it as we take care of you and you take care of our guests. It has improved how they do their jobs‚ how they treat the guests‚ how their attitude is at work‚ and how they can have fun. If they were to open in Asia‚ I really don’t see it being a problem for the fact is I’m sure they will get
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Answers Chapter 1 c i No x-intercept‚ y = 4 iii y Pre-test 1 a 2x + 1 1 3 c x+ x= x 2 2 f 3x − 7 b 5(x − 1) 1 (x + 4) 3 -5ab -21x -4x + 4 3 ii 0 y=4 d 2x − 3 e a a a a 7x 8y 3x + 3 4m b b b b 6a 7 6 b 7 12 9 a 3 b -2 c 1 10 a y = 2x + 1 b y = -x + 5 c 4 7 d 19 72 Exercise 1A f 21 20 2 3 4 5 4 e 7 c c c c -5x 2 15a 2 -10x + 2x 2 a (0‚ 4) d g c 10 ii 1
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Discuss the approach to teaching math taken in the Montessori classroom. Montessori is an approach which many have adopted these days as a teaching method for children in preschool. The materials which they use create an environment that is developmentally appropriate for the children. Montessori believes that with the helped of trained teachers and the proper environment which the children are placed in‚ intelligence and different skills will be developed in the child (Casa Montessori‚
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2008 H I G H E R S C H O O L C E R T I F I C AT E E X A M I N AT I O N Mathematics General Instructions • Reading time – 5 minutes • Working time – 3 hours • Write using black or blue pen • Board-approved calculators may be used • A table of standard integrals is provided at the back of this paper • All necessary working should be shown in every question Total marks – 120 • Attempt Questions 1–10 • All questions are of equal value 212 BLANK PAGE – 2 – Total marks – 120
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