Sample Questions in Mathematics 1. If a and b are positive integers such that a b = 125‚ then (a − b) a + b − 4 is equal to 1. 16 2. 5 5 2. 25 3. 28 4. 30 × 53 ÷ 5 −3/ 2 = 5 a+ 2 then the value of a is equal to 1. 4 3. 2. 5 3. 6 4. 8 An electric contractor purchases a certain amount of wire. 10% of which is stolen. After using 85% of the remainder‚ he had 54 m of the wire left. How much wire did he purchase? 1. 300 m 2. 350 m 3. 375 m 4. 400 m 4. ׂ y and z are
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Math SL Investigation Type 2 Stellar Numbers This is an investigation about stellar numbers‚ it involves geometric shapes which form special number patterns. The simplest of these is that of the square numbers (1‚ 4‚ 9‚ 16‚ 25 etc…) The diagram below shows the stellar triangular numbers until the 6th triangle. The next three numbers after T5 would be: 21‚ 28‚ and 36. A general statement for nth triangular numbers in terms of n is: The 6-stellar star‚ where there are 6 vertices‚ has
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Predictability of Social Media Usage to Grade Averages IB Math Studies Spring 2013 Table of Contents: Introduction/Purpose……………………………………………………………..p.3 Data Collection Method……………………………………………………….....p. 3 - 4 Data Analysis: Chi-Squared Statistic Frequency Table…………………………………………………………p. 4 - 5 Contingency Table……………………………………………………….p. 5 – 6 Chi – Squared Statistic…………………………………………………...p. 7 Degrees of Freedom………………………………………………………p. 7 Critical Value……………………………………………………………
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International Baccalaureate | Gold Medal Heights SL Math IA- Type II | Turner Fenton Secondary School | Completed by: Harsh Patel Student Number: 643984 IB number: Teacher: Mr. Persaud Course Code: MHF4U7-C Due Date: November 16th‚ 2012 Introduction This report will investigate the winning heights of high jump gold medalists in the Olympics. The Olympics composed of several events evaluating
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Lacsap’s Fractions IB Math SL Internal Assessment Paper 1 Lacsap’s Fractions Lacsap is Pascal spelled backward. Therefore‚ Pascal’s Triangle can be used practically especially with this diagram. (Diagram 1) This diagram is of Pascal’s Triangle and shows the relationship of the row number‚ n‚ and the diagonal columns‚ r. This is evident in Lacsap’s Fractions as well‚ and can be used to help understand some of the following questions. Solutions Describe how to find
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SL TYPE 1-LACSAP’S FRACTIONS * INTRODUCTION This investigation is going to do research patterns relates to the Lacsap’s Fractions. For its external structure‚ Lacsap’s Fraction is analogous to Pascal’s Triangle. Lacsap’s Fraction presents the way of generating and organizing the binomial coefficients. Within this investigation‚ the work is planning to be divided into two parts. In the first part‚ the content will relate to the pattern of numerators. In the second part‚ I am going to do the
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1. Be very particular about the subject you choose for prelims‚ as you will be appearing for an objective type of paper. History‚ maths‚ geography may prove to be very scoring. Choose subjects which have availability of books‚ reading material and guidance. In recent years engineering subjects like civil and electrical can be chosen‚ giving BEs and IITians an edge (yes! even here they are giving the BAs and BScs a tough fight!)(more content follows the advertisement below) A D V E R T I S E M E
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In Lacsap’s Fractions‚ En(r) refers to the (r+1)th term in the nth row. The numerator and denominator are found separately‚ therefore to find the general statement‚ two different equations‚ one for the numerator and one for the denominator‚ must be found. Let M=numerator and let D=denominator so that En(r) = M/D. To find the numerator for any number of Lacsap’s Fractions‚ an equation must be made that uses the row number to find the numerator. Because the numerator changes depending on the row
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Population Trends in China The goal of this mathematical study is to explore the different functions that best model the population of China from the years 1950 to 1995. Year | 1950 | 1955 | 1960 | 1965 | 1970 | 1975 | 1980 | 1985 | 1990 | 1995 | Population in Millions | 554.8 | 609.0 | 657.5 | 729.2 | 830.7 | 927.8 | 998.9 | 1070.0 | 1155.3 | 1220.5 | Using the Chinese population data from 1950 to 1995‚ let us construct a graph using technology. Before graphing the data though‚ we must
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___________ Test Centre : _____________________________________________________________ FIITJEE Ltd.‚ FIITJEE House‚ 29-A‚ Kalu Sarai‚ Sarvapriya Vihar‚ New Delhi -110016‚ Ph 46106000‚ 26569493‚ Fax 26513942 website: www.fiitjee.com FTRE-2013(Sample)-C-X-P1-PCM-2 SECTION – I (COMPREHENSION TYPE) Passage - 1 (For questions no. 1 - 3) Following is the given circuit. Which contains two resistance R1 and R2 in form of circle of radius r = 1 m with
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