(Revised) GCSE FOUNDATION REVISION GUIDE For Linear Course Written by MR P BENSON – Maths Tutor MARCH / APRIL 2005 VERSION 1 ISSUED FEBRUARY 2006 RE-UPDATED VERSION 2 MARCH 2008 VERSION 3 UPDATED FOR NEW SPECIFICATION 2011 CONTENTS PAGE Section Topic Page A Percentages 3 B Interest 3 C Nth Terms 3 D Ratio 4 E Lowest Common Multiples 4 F Highest Common Factors 4 G Prime Numbers 5 H Fractions
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DURATION : 60 minutes ANSWER ALL QUESTIONS. 1. Given the function f ( x‚ y ) = x 2 + 2 y 2 − 1 a. Find the domain and range of the function. (2 marks) b. Sketch the contour map of the function f ( x‚ y ) using three level curves‚ c = 1‚ 2‚ 3 . (4 marks) c. Use 3D-contour map to sketch roughly the surface of f ( x‚ y ) . (2 marks) 2 4 x2 − y 2 ‚ x2 + 2 y 2 f ( x‚ y ) along x- axis and y-axis‚ Given the function f ( x‚ y ) = a. find the lim ( x ‚ y )→(0‚0) (4 marks) b. does
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Tabaco National High School Tabaco City MATHEMATICAL TRIVIAS Kim Patrick Barcenas II-Mendel Mrs. Sylvia Bo-Sariola Math Teacher When 111 111 111 is multiplied by 111 111 111 it is equal to 12345678 9 87654321 You can remember the value of PI (3.1415926) by counting each word’s letters in “May I have a large container of coffee?” 21978 when multiplied by 4 is the same number with digits in reverse order... 21978 x 4 = 87912 If you add up numbers 1-1000 consecutively
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What is the normal range of emotions? The extent of the range of one’s emotions will vary from person to person and will be influenced by a litany of unpredictable and unforeseen circumstances that affect us in life. Experiencing fluctuations of emotions is completely normal. But dramatic swings in emotion can be physically taxing‚ mentally draining and put serious strain on our relationships and personal happiness. The different types of ranges‚ their symptoms and functional impairment is
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Name: Math Manisa No.: 10740 Project 2 Regression Line The following table shows (for the years 1965 to 2000 and for people 18 and over) the total percentage of cigarette smokers‚ the percentage of males who are smokers‚ and the percentage of females who are smokers. Percentage of Smokers _________________________________________________________________________________________________ Year Total Population All
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IB Math Studies Internal Assessment: Is the distance a tennis ball travels horizontally dependent on the angle of which it is dropped at? Exam Session: May 2014 School Name: Teacher: Course: IB Math Studies Word Count: 654 Name: Is the distance a tennis ball travels horizontally dependent on the angle of which it is dropped at? Introduction In tennis‚ players hit the tennis ball in certain ways so the ball goes the way they want it to go. Hitting it at certain angles enables
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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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Math Review for the Quantitative Reasoning Measure of the GRE® revised General Test www.ets.org Overview This Math Review will familiarize you with the mathematical skills and concepts that are important to understand in order to solve problems and to reason quantitatively on the Quantitative Reasoning measure of the GRE revised General Test. The following material includes many definitions‚ properties‚ and examples‚ as well as a set of exercises (with answers) at the end of each
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relations or functions. We will be computing‚ composing‚ transforming and finding the inverse of some functions. We are working with the following functions: f(x) = 2x+5 g(x) = x2 -3 h(x) = (7-3x)/3 We have been asked to compute (f – h)(4). (f – h)(4) = f(4) – h(4) So we can evaluate each separately and then subtract. f(4) = 2*4 +5=13 h(4) = (7-4)/3=1 (f – h)(4) = 13 – 1 = 12 (f-h)(4)=12 This is our answer. Next we are to compose two pairs of the functions into each
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AMP1 – Ultrasonic range finder Introduction The aim for this assignment is to write a program for the ultrasonic range finder. It is similar to the sonar system‚ which emit a time-limited ultrasonic wave and receive the echo of the signal. The delay between transmission and reception of the Signal can be used as a measure for the distance at which the object is found. The process shows below. Overview The microcontroller program needs to implement a ultrasonic range finder. First switch
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