WAEC Past Questions and Answers - Page 2391

11,951.

Find the equation of a straight line passing through the point (1, -5) and having gradient of \(\frac{3}{4}\) 

A.

3x + 4y - 23 = 0

B.

3x + 4y +23 = 0

C.

3x - 4y +23 = 0

D.

3x - 4y - 23 = 0

Correct answer is D

\(\frac{3}{4} = \frac{y + 5}{x - 1}\)

3(x - 1) = 4(y + 5)

3x - 3 = 4y + 20

3x - 4y - 23 = 0

11,952.

A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other with replacement, what is the probability that they are of different colours?

A.

\(\frac{2}{3}\)

B.

\(\frac{3}{5}\)

C.

\(\frac{7}{20}\)

D.

\(\frac{12}{25}\)

Correct answer is C

(\(\frac{2}{5} \times \frac {3}{5}) + (\frac{3}{5} \times \frac{2}{5})\)

\(\frac{6}{25} + \frac{6}{25} = \frac{12}{25}\) 

11,953.

The interior angles of a polygon are 3x\(^o\), 2x\(^o\), 4x\(^o\), 3x\(^o\) and 6x\(^o\). Find the size of the smallest angle of the polygon.

A.

80\(^o\)

B.

60\(^o\)

C.

40\(^o\)

D.

30\(^o\)

Correct answer is B

3\(x^o\) + 2\(x^o\) + 4\(x^o\) + 3\(x^o\) + 6\(x^o\) = 540\(^o\)

\(\frac{18x^o}{18} = \frac{540^o}{18}\)

\(x^o\) = 30\(^o\)

Smallest angle = 2 x 30\(^o\) = 60\(^o\)

11,954.

Factorize completely; (2x + 2y)(x - y) + (2x - 2y)(x + y) 

A.

4(x - y)(x + y)

B.

(4(x - y)

C.

2(x - y)(x + y)

D.

2(x - y)

Correct answer is A

(2x + 2y)(x - y) + (2x - 2y)(x - y)

2(x + y)(x - y) + 2(x - y)(x + y) 

4(x - y)(x + y) 

11,955.

In the diagram, POS and ROT are straight lines. OPQR is a parallelogram, |OS| = |OT| and OST = 50°. Calculate the value of OPQ.

A.

100\(^o\)

B.

120\(^o\)

C.

140\(^o\)

D.

160\(^o\)

Correct answer is A

S\(O\)T = 180\(^o\) - (50 + 50) 

= 80\(^o\) 

P\(Q\)R = 80\(^o\)

= \(\frac{360^o - 160^o}{2}\) = 100\(^o\)