WAEC Past Questions and Answers - Page 4079

20,393.

In the diagram above, |QR| = 12cm and |QS| = 10cm. If ∠PQR = 90°, ∠RSQ = 90° and PSQ is a straight line, find |PS|

A.

3.3cm

B.

4.4cm

C.

5cm

D.

5.5cm

E.

6.6cm

Correct answer is B

\(\frac{PQ}{RQ} = \frac{RQ}{SQ}\) (Similar triangles)

\(\therefore \frac{PS + 10}{12} = \frac{12}{10}\)

\(10 (PS + 10) = 12 \times 12\)

\(10 PS + 100 = 144 \implies 10 PS = 44\)

\(PS = 4.4 cm\)

20,394.

A point charge of magnitude 2μC is moved through a distance of 0.02 m against uniform field of intensity 25 Vm-1 Calculate the work done on the charge

A.

5.0 x 106J

B.

1.0 x10-6J

C.

5.0 x10-7J

D.

1.0 x 10-2J

Correct answer is B

No explanation has been provided for this answer.

20,395.

The sum of an interior angles of a regular polygon is 30 right angles. How many sides has the polygon?

A.

34 sides

B.

30 sides

C.

26 sides

D.

17 sides

E.

15 sides

Correct answer is D

Sum of interior angles in a polygon = \((2n - 4) \times 90°\)

\(\therefore (2n - 4) \times 90° = 30 \times 90°\)

\(\implies 2n - 4 = 30 \)

\(2n = 34 \implies n = 17\)

The polygon has 17 sides.