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MATHEMATICAL REASONING MATHEMATICS FORM 4‘If people do not believe that mathematics is simple, it is only because theydo not realize how complicated life is. ~John Louis von Neumann’
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QUESTION 1 Form a compound statement with each of the statement below using “or” A) A rhombus has two axes of symmetry B) A kite has one axis of symmetry
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QUESTION 1 Form a compound statement with each of the statement below using “and” A) 4 – 7 = -3 B)
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QUESTION 2 Determine whether the compound statement is true or false. State your reason A parallelogram has one axis of symmetry or the sum of interior angles of a triangle is 180o
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QUESTION 3 Write two implications from the compound statement below.
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QUESTION 4 State the converse of the implication below, then determine whether this converse are true or not. If x and y are even numbers, then the product of x and y is an even number.
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QUESTION 5 Make a conclusion based on the premises below Premise 1: All prime numbers are not perfect squares Premise 2: 37 is a prime number
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QUESTION 6 Complete the following argument Premise 1:______________________________ Premise 2: x is not a multiple of 6 Conclusion: x is not a multiple of 18
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QUESTION 7 Make a conclusion by deduction for the following case. All angles which are more than 90o but less than 180o are known as obtuse angle. Given x=112o.
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QUESTION 8 Make a general conclusion by induction for the following case. Given 4, 9, 14, 19, … and 4=5(0)+4 9=5(1)+4 14=5(2)+4 19=5(3)+4 ………………..
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