Quiz of Chapter 4 Maths

7/29/2019 Quiz of Chapter 4 Maths

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QUIZ OF CHAPTER 4 : MATHEMATICAL REASONING

Instruction :

CHOOSE any FOUR questions among all six questions provided by writing your answer in space provided.

1 (a) Is the sentences below a statement or non statement ?

4 is a prime number

(b) Write down two implications based on the following sentences :

P R if and only if P R

The number of subsets in a set with 2 elements is 22



(c) Based on the information above, make a general conclusion by indection regarding the number of

subsets in a set with k elements.

[5 marks]

Answer :

(a) .....

(b) Implication I :

....

Implication II :

........

(c) .....

[2003, No.8]

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2 (a) State whether the following statement is true or false.

8 > 7 or 32 = 6

(b) Write down two implications based on the following sentence.

m3 = 1000 if and only if m = 10

(c) Complete the premise in the following argument.

Premise 1 : All hexagons have six sides.

Premise 2 :

Copyright to Cikgu Fayruzz Naseer SMKE2 2013


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Conclusion : PQRSTU has six sides. [ 5 marks ]

Answer :

(a)

...

(b) Implication I :

...

Implication II :

....

(c) Premise 2 :

[2004, No.4]

3 (a) State whether each of the following statement is true of false.

(i) 8 2 = 4 and 82 = 62.

(ii) The elements of set A = {12, 15, 18} are divisible by 3 or the elements of set B = {4, 6, 8}

are multiples of 4.

(b) Write down Premise 2 to complete the following argument :

Premises 1 : If x is greater than zero, then x is a positive number.

Premises 2 : ..

Conclusion : 6 is a positive number.

(c) Write down two implications based on the following sentences :

3m > 15 if and only if m > 5

[5 marks]

Answer :

(a) (i) ...

(ii) ...

(b) Premise 2 : ............

(c) Implication 1 : .....

Implication 2 : ......

[2005, No.8]



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4 (a) Complete each of the following statements with the quantifier all or some so that it will become atrue statement.

(i) of the prime numbers are odd numbers.

(ii) pentagons have five sides.

(b) State the converse of the following statement and hence determine whether its converse is true or false.

Ifx > 9, then x > 5

(c) Complete the premise in the following argument.

Premises 1 : If set K is a subset of set L, then KL = L.

Premises 2 : ..

Conclusion : Set K is not a subset of set L.

[5 marks]

Answer :

(a) (i) of the prime numbers are odd numbers.

(ii) pentagons have five sides.

(b) ...

.......

(c) Premise 2 : .........

[2006, No.6]

5 (a) Complete each of the following statements with the quantifier all or some, to make it a truestatement.

quadratic equations have two equal roots.

(b) Write down Premise 2 to complete the following argument.

Premises 1 : If M is a multiple of 6, then M is a multiple of 3.

Premises 2 : ..

Conclusion : 23 is not a multiple of 6.

(c) Make a general conclusion by induction for the sequence of numbers 7, 14, 27, .. which

follows the following pattern

7 = 3 (2)1 + 1

14 = 3 (2)2 + 1

27 = 3 (2)3 + 1



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= ..

(d) Write down two implications based on the following statement :

pq > 0 if and only if p > q

[6 marks]

Answer :

(a) quadratic equations have two equal roots.

(b) Premise 2 :

........

(c) General conclusion :

...

(d) Implication I :

....

Implication II :

......

[2007, No.7]

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6 (a) State whether the following compound statement is true or false :

53 = 125 and 6 < 7

(b) Write down two implications based on the following compound statement :

x3 = 64 if and only ifx = 4

(c) It is given that the interior angle of a regular polygon of n sideds is

n

21 180.

Make one conclusion by deduction on the size of the interior angle of a regular hexagon.

[5 marks]

Answer :

(a)

(b) Implication I :

....

Implication II :

.....

(c) Conclusion :



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............

[2008, No.5]


Quiz of Chapter 4 Maths

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