Propositions The fundamental objects we work with in arithmetic are numbers. In a similar way‚ the fundamental objects in logic are propositions. Definition: A proposition is a statement that is either true or false. Whichever of these (true or false) is the case is called the truth value of the proposition. Here are some examples of English sentences that are propositions: ‘Canberra is the capital of Australia.’ ‘There are 8 days in a week.’ ‘Isaac Newton was born in 1642.’ ‘5 is greater
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Write your name here Surname Other names Edexcel Certificate Edexcel International GCSE Centre Number Candidate Number Mathematics A Paper 1F Foundation Tier Friday 11 May 2012 – Afternoon Time: 2 hours Paper Reference 4MA0/1F KMA0/1F You must have: Total Marks Ruler graduated in centimetres and millimetres‚ protractor‚ compasses‚ pen‚ HB pencil‚ eraser‚ calculator. Tracing paper may be used. Instructions Use black ink or ball-point pen. Fill in the boxes
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NATIONAL SENIOR CERTIFICATE GRADE 11 MATHEMATICS P2 EXEMPLAR 2013 MARKS: 150 TIME: 3 hours This question paper consists of 12 pages and 3 diagram sheets. Copyright reserved Please turn over Mathematics/P2 2 NSC – Grade 11 Exemplar DBE/2013 INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of 11 questions. 2. Answer ALL the questions. 3. Clearly show ALL calculations
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Sing Yin Secondary School First Term Examination‚ 2009 – 2010 Mathematics 1 Form 3 Full marks: 100 Answer ALL questions. Unless otherwise specified‚ all working must be clearly shown. The diagrams in this paper are not necessarily drawn to scale. Unless otherwise specified‚ numerical answers should either be exact or correct to 3 significant figures. 1. 2. Time allowed: 1.5 hours Simplify 2 8 + 24 . x 2 − 5x − 6 ‚ x 3 − 27 . ( ) (4 marks) Factorize (a) (b) (4 marks) (4
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22. Conditional- if it is a line then it contains at least two points Inverse- if it is not a line then it does not contain at least two points Converse- If it contains at least two points then it is a line Contrapositive- if it does not contain at least two points‚ then it is not a line 23. Conditional- If there are 3 noncollinear points‚ then there is exactly one plane Inverse- if there are not exactly 3 collinear points‚ then there is not exactly one plane Converse- if there is exactly one
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Mathematical Database MATHEMATICAL INDUCTION 1. Introduction Mathematics distinguishes itself from the other sciences in that it is built upon a set of axioms and definitions‚ on which all subsequent theorems rely. All theorems can be derived‚ or proved‚ using the axioms and definitions‚ or using previously established theorems. By contrast‚ the theories in most other sciences‚ such as the Newtonian laws of motion in physics‚ are often built upon experimental evidence and can never be
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1 Asgn 3 Macao Polytechnic Institute School of Business Bachelor of Art in Public Relation Programme st 1 Semester‚ Year 2012/13 Math211521122‚ Assignment III P1103808 Leong Lai Nga‚ Delia Write down your full name and student ID on the first page. Handin your assignment on or before nd the day of 2 midterm. 1. Blood Glucose Level . In the article "Drinking Glucose Improves Listening Span in Students Who Miss Breakfast" ( Educational Research ‚ Vol. 43‚ No. 2‚ pp.201207)
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LESSON 1 REFLECTION It is important to critically analyze questions such as‚ what is pi? ‚ And what is the area of a circle? The obvious assumptions would be the numerical approximation 3.14 and the formula of the area of a circle‚ pi*r^2. However‚ as we soon learned Pi is the ratio of a circle’s circumference to its diameter or the number of radius squares needed to completely cover a circle exactly. And the area of a circle is the unit squares needed to cover a circle exactly‚ or the space
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When looking back on Math 297‚ I am reminded of the first time I heard mention of the course in Math 157 by Shari Dorsey. Shari was sharing with the class that in the fall a special topics class was going to be available‚ the topic being instruction in the middle years. I was so eager to sign up for the course that I emailed the instructor‚ Margaret Kinzel‚ immediately requesting a permission number. The eagerness to secure myself a position in this course stems from a desire to have as thorough
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Mathematics in Everyday Life How many times have you students asked "When are we ever going to use this in real life?" You’ll find the answer here! Or You may find yourself wondering what use we have for some of the knowledge we obtain from math class in school. It is sometimes difficult for students to appreciate the importance of Mathematics. They often find the subject boring and hard to understand. With this project we will hopefully help our students realize that Mathematics is not just a
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