WAEC Past Questions and Answers - Page 2433

12,161.

The average age of a group of 25 girls is 10year. If one girl, aged 12 years and 4 months joins the group, find the new average age of the group

A.

10.1 years

B.

9.3 years

C.

8.7 years

D.

8 . 3 years

Correct answer is A

x = 10 ; 10 = \(\frac{x}{25}\)

x = 250

x = \(\frac{250 + 12.4}{26}\)

x = 10.09

x = 10.1 years

12,162.

Given that cos 30\(^o\) = sin 60\(^o\) = \(\frac{3}{2}\) and sin 30\(^o\) = cos 60\(^o\) = \(\frac{1}{2}\), evaluate \(\frac{tan 60^o - q}{1 - tan 30^o}\)

A.

\(\sqrt{3 - 2}\)

B.

2 - \(\sqrt{3}\)

C.

\(\sqrt{3}\)

D.

-2

Correct answer is C

Tan 60 = 3; Tan 30 = 1

\(\frac{\tan 60^o - 1}{1 - tan 30^o}\)  = \(\frac{\sqrt{3 - 1}}{1 - \frac{1}{\sqrt{3}}}\) = \(\frac{\sqrt{3 - 1}}{\frac{3 - 1}{\sqrt{3}}}\)

= \(\frac{\sqrt{3 - 1}}{1} \times \frac{\sqrt{3 - 1}}{\sqrt{3}}\)

= \(\frac{\sqrt{3 - 1}}{1} \times \frac{\sqrt{3}}{\sqrt{3}}\)

= \(\sqrt{3}\)

12,163.

A bearing of 320\(^o\) expressed as a compass bearing is

A.

N 50\(^o\) W

B.

N 40\(^o\) W

C.

N 50\(^o\) E

D.

N 40\(^o\) E

Correct answer is B

No explanation has been provided for this answer.

12,164.

If P(2,3) and Q)2, 5) are points on a graph, calculate the length PQ

A.

6 units

B.

5 units

C.

4 units

D.

2 units

Correct answer is D

\(\sqrt{(x_2 - x_1)^2 + (y_2 - Y_1)^2}\)

= \(\sqrt{(2 - 2)^2 + (5 - 3)^2}\)

= \(\sqrt{0^2 + 2^2}\)

= \(\sqrt{4}\)

= 2 units

12,165.

Calculate the gradient (slope) of the joining points (-1, 1) and (2, -2)

A.

-1

B.

\(\frac{-1}{2}\)

C.

\(\frac{1}{2}\)

D.

1

Correct answer is A

Gradient = m = \(\frac{y_2 - y_1}{x_2 - x_1}\)

= \(\frac{-2 -1}{2 + 1}\)

= \(\frac{-3}{3}\)

= -1