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WAEC Mathematics Past Questions & Answers - Page 195

971.

Given that x ≅ 0.0102 correct to 3 significant figures, which of the following cannot be the actual value of x?

0.01014

0.01021

0.01015

0.01016

View answer & explanation

Correct answer is A

option A CANNOT BE BECAUSE THE LAST NUMBER BEFORE 1 CAN ONLY BE ROUNDED DOWN TO ZERO.

972.

Evaluate $(111_{two})^2 - (101_{two})^2$

10_two

100_two

1100_two

11000_two

View answer & explanation

Correct answer is D

$(111_{2})^2 - (101_{2})^2$

Difference of two squares

$(111 - 101)(111 + 101)$

= $(10)(1100)$

= $11000_{2}$

973.

In the diagram, $P\hat{Q}S = 65^o, R\hat{P}S = 40^o\hspace{1mm}and\hspace{1mm}Q\hat{S}R=20^o\hspace{1mm}, find P\hat{S}Q$

85^o

60^o

55^o

45^o

View answer & explanation

Correct answer is C

< QPS = < PRS = 65° (angles in the same segment)

< PSR + 40° + 65° = 180°

< PSR + 105° = 180°

< PSR = 75°

< PSR = < PSQ + < QSR

75° = < PSQ + 20° $\implies$ < PSQ = 75° - 20° = 55°

974.

Find the values of x for which $\frac{1}{2x^2 - 13x +15}$ is not defined,

5 or $\frac{3}{2}$

1 or $\frac{15}{13}$

2 or 15

13 or 15

View answer & explanation

Correct answer is A

The fraction is undefined when the denominator is equal to zero
$2x^2 - 13x + 15 = 0\\ 2x^2 - 3x - 10x + 15\\ x(2x-3)-5(2x-3) = 0\\ (2x-3)(x-5)=0\\ x = \frac{3}{2} or x = 5$

975.

Out of 60 members of an Association, 15 are Doctors and 9 are Lawyers. If a member is selected at random from the Association, what is the probability that the member is neither a Doctor Nor a Lawyer

$\frac{3}{5}$

$\frac{9}{10}$

$\frac{3}{20}$

$\frac{1}{4}$

View answer & explanation

Correct answer is A

Member that are neither doctors nor lawyers = 60-(15+9)=36
Probability (Not doctors ad not lawyers) $=\frac{36}{60}\\ =\frac{6}{10}=\frac{3}{5}$

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