WAEC Mathematics Past Questions & Answers - Page 52

256.

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.

257.

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

258.

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

259.

Which of the following is true about parallelogram?

A.

opposite angles are supplementary

B.

opposite angles are complementary

C.

opposite angles are equal

D.

opposite angles are reflex angles

Correct answer is C

No explanation has been provided for this answer.

260.

If the total surface area of a solid hemisphere is equal to its volume, find the radius

A.

3.0cm

B.

4.5cm

C.

5.0cm

D.

9.0cm

Correct answer is B

T.S.A of hemisphere = 3\(\pi r^2\)

vol of hemisphere = \(\frac{2}{3} \pi r^3\)

3\(\pi r^2\) = \(\frac{2}{3} \pi r^3\)

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

9 = 2r

r = \(\frac{9}{2}\)

r = 4.5cm