and working on the separate Answer Booklet/Paper provided. Write your candidate number and name on all the work you hand in. Write in dark blue or black pen on both sides of the paper. You may use soft pencil for any diagrams or graphs. Do not use staples‚ paper clips‚ highlighters‚ glue and correction fluid. Answer all questions. At the end of the examination‚ fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question
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w w w e tr .X m eP CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level e ap .c rs MATHEMATICS (SYLLABUS D) Paper 2 4024/02 May/June 2003 2 hours 30 minutes om Additional Materials: Answer Booklet/Paper Electronic calculator Geometrical instruments Graph paper (1 sheet) Mathematical tables (optional) READ THESE INSTRUCTIONS FIRST Write your answers and working on the separate Answer Booklet/Paper provided. Write your Centre number‚ candidate
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= NUMBERS 1. a 3 + b 3 + c3 – 3abc = (a + b + c) (a 2 + b 2 + c2 – ab – bc – ca) 2. The product of n consecutive integers is always divisible by n! (n factorial) 3. The sum of any number of even numbers is always even 4. The sum of even number of odd numbers is always even 5. The sum of odd number of odd numbers is always odd 6. If N is a composite number such that N = a p . b q . cr .... where a‚ b‚ c are prime factors of N and p‚ q‚ r .... are positive integers‚ then a) the number of factors
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them arrived at the target address. b. In a survey of 1059 adults‚ it is found that 39% of them have guns in their homes. c. The amount of shampoo through into a bottle. d. The amount of electricity used by workshop every month. e. The number of book per lecturer has. 5. Identify the level of measurement used in each of the following : a. The weights of people being hurled through the air at an enthusiastic rock concert. b. A movie critic’s rating of “must see‚ recommended
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Office of The Principal Accountant General (A&E) Andhra Pradesh‚ Hyderabad SMS facility to GPF subscribers/Pensioners Highlights of the facility: Monthly alerts on GPF subscriptions‚ withdrawals‚ missing credits etc Information about annual GPF slips dispatch GPF Final withdrawal application status (received/ finalized/ returned etc) Pension application status (received/ finalized/ returned etc) Who can avail the facility: Government employees whose GPF accounts are being maintained
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paper has 50 questions. Time allowed : 60 minutes. There are 3 sections: 15 questions in section I‚ 15 in section II and 20 in section III. Section – I (Mental Ability) : Sets‚ Relations and Functions‚ Mathematical Induction‚ Logarithms‚ Complex Numbers & Quadratic Equations‚ Linear Inequations‚ Differentiation‚ Sequences and Series (A.P. & G.P. Misc.)‚ Trigonometry‚ Cartesian System of Rectangular Coordinates‚ Straight Lines and Family of Straight Lines‚ Circles‚ Conic Section‚ Trigonometry‚ Permutations
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Objectives Common Algorithms Total T l Average Counting Minimum value and maximum value Ranged value Unlimited l U li i d value 1 Mohd Hanapi Abdul Latif Total / Sum group of values The algorithm in this application may be used to solve sol e problem such as s ch To calculate the total of payment for N employees; To sum the amount that a customer has to pay; To calculate the total of salary that a person receives in a year; and To l l t the total T calculate th t t l payment of ticket f
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1. Solve a. e^.05t = 1600 0.05t = ln(1600) 0.05t = 7.378 t = 7.378/.05 t = 147.56 b. ln(4x)=3 4x = e^3 x = e^3/4 x = 5.02 c. log2(8 – 6x) = 5 8-6x = 2^5 8-6x = 32 6x = 8-32 x = -24/6 x = -4 d. 4 + 5e-x = 0 5e^(-x) = -4 e^(-x) = -4/5 no solution‚ e cannot have a negative answer 2. Describe the transformations on the following graph of f (x) log( x) . State the placement of the vertical asymptote and x-intercept after the transformation. For example‚ vertical shift
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each‚ adjacent to front and back cover. Page Numbers: All the pages in the initial part are in small roman centrally located at the bottom of the pages. Each chapter should begin on a new page Chapter pages are in numerical First page of a chapter should not bear the page number‚ but it should be counted and the page number should appear from the second page of each chapter. Chapter Numbers: Chapters should be serially numbered
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Hat e Ab u En h h o t glis I di om Boar ds vocabul ar y Im pressions A bout The Subject A nd Everything M o st m em o r a b l e A ctivities P ictorial s Suggestions R ecommendations Po lio rtfo in Eng h lis Sea t w o r k s Ex a m s As s ig n m e n t s Qu i z z e s S treng And Weaknes es th s S treng And Weaknes es th s Reflectio toTeacher n Reflectio ToS n ubject Reflectio toTeacher n Reflectio ToS n ubject Per s onal Pr ofi l e st
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