PURE MATHEMATICS UNIT 1 ALGERBRA‚ GEOMETRY AND CALCULUS SPECIMEN PAPER PAPER 02 2 hours 30 minutes The examination paper consists of THREE sections: Module 1‚ Module 2 and Module 3. Each section consists of 2 questions. The maximum mark for each Module is 50. The maximum mark for this examination is 150. This examination consists of 6 printed pages. INSTRUCTIONS TO CANDIDATES 1. DO NOT open this examination paper until instructed to do so. 2. Answer ALL questions from the THREE
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1 MCR3U Exam Review Math Study Guide U.1: Rational Expressions‚ Exponents‚ Factoring‚ Inequalities 1.1 Exponent Rules Rule Product Quotient Power of a power Power of a product Power of a quotient Description a m × a n = a m+n a m ÷ a n = a m−n Example 4 2 × 45 = 47 5 4 ÷ 52 = 52 (a ) a m n = a m×n a a (3 ) 2 4 = 38 2 2 2 (xy) = x y an a = n ‚b ≠ 0 b b a0 = 1 a −m = 1 ‚a ≠ 0 am n (2 x 3) = 2 x 3 35 3 = 5 4 4 70 = 1 9 −2 = 4 5 Zero
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Edexcel GCSE Mathematics B Unit 1: Statistics and Probability (Calculator) Higher Tier Wednesday 9 November 2011 – Afternoon Time: 1 hour 15 minutes Paper Reference 5MB1H/01 You must have: Ruler graduated in centimetres and millimetres‚ Total Marks protractor‚ pair of compasses‚ pen‚ HB pencil‚ eraser‚ calculator. Tracing paper may be used. Instructions Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name‚ centre number and candidate number
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least fifteen people and record their data in a simple table or chart; study the examples from Section 12-3. 4. You can gather your data at work‚ on the phone‚ or via some other method. This is your “Sampling Design.” Which of the four sampling techniques best describes your design? 5. Explain in moderate detail the method you used to gather your data. In statistics this venture is called the “Methodology.” 6. Make sure you break your sample into classes or groups‚ such as males/females‚ or ages
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specifically covering the branch of mathematics we now know as Algebra and was the most notable work on the subject during this period‚ covering such things as polynomial equations up to the second degree; introducing methods for reduction and balancing; and other such staple algebraic methods. 2. Given that the official purpose of the U.S. patent system is the promotion of the “useful arts‚” do you think algorithms are patentable in this country? Should they be? 3. a. Write down driving directions
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Lisle Candidates should remove the formula sheet and answer sheet from the end of the paper. Write your number and teacher’s name on the answer sheet and this question paper immediately. General Instructions Total marks – 100 marks • Reading time – 5 minutes • Working time – 2½ hours • Write using black or blue pen • Calculators may be used • A formulae sheet is provided at the back of this paper Section I • • • Pages 2–7 22 marks Attempt Questions 1 – 22 Allow about
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questions‚ beginning your answer to each question on a separate sheet. 5. Candidates should show calculations where this is appropriate. Graph paper is required for this paper. AT THE END OF THE EXAMINATION Hand in BOTH your answer booklet‚ with any additional sheets firmly attached‚ and this question paper. In addition to this paper you should have available the 2002 edition of the Formulae and Tables and your own electronic calculator. CT3 A2005 Faculty of Actuaries Institute
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years [4] Officers’ Training Academy 19-25 years (not before 2 June) Scheme of Examination Indian Military Academy / Air Force Academy / Naval Academy All the papers are of objective type. Subject Marks English 100 General Knowledge 100 Elementary Mathematics 100 Total 300 Officers’ Training Academy All the papers are of objective type. Subject Marks English 100 General Knowledge 100 Total 200 Candidates successful in the written exam are then called for an interview
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c) Write code snippet of two classes showing the concept of inheritence‚ use UML diagrams to express yourself. [12] QUESTION FOUR a) b) Define the following terms; i) Control ii) Object iii) Property iv) Event Procedure v) Method [10] Write a VB.NET program that reads the contents of an input file and displays them on the console. The file name is to be specified by the user through the Input Box. [15] 2 QUESTION FIVE a) What are the advantages and disadvantages
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1. Arrange the following in descending order: a. 29 ‚23 ‚821 b. 15 ‚37 ‚710 2. A rectangular sheet of paper is 1212 cm long and 1023 cm wide. Find its perimeter. 3. Salil wants to put a picture in a frame. The picture is 735 cm wide. To fit in the frame the picture cannot be more than 7310 cm wide. How much the picture should be trimmed? 4. Find the perimeters of (i) ABE (ii) the rectangle BCDE in the figure below. Whose perimeter is greater? 5. In
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