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WAEC Mathematics Past Questions & Answers - Page 289

1,441.

From a point on the edge of the sea, one ship is 24km away on a bearing S 50^oE and another ship is 7km away on a bearing S40^oW. How far apart are the ships?

A.

20km

B.

24km

C.

25km

D.

31km

E.

84km

View answer & explanation

Correct answer is C

No explanation has been provided for this answer.

1,442.

If sin x = cos 50^o, then x equals

A.

40^o

B.

45^o

C.

50^o

D.

90^o

E.

130^o

View answer & explanation

Correct answer is A

No explanation has been provided for this answer.

1,443.

A plane flies 90km on a bearing 030° and then flies 150km due east. How far east of the starting point is the plane?

A.

120km

B.

165km

C.

195km

D.

(150 + 45√3)km

E.

240km

View answer & explanation

Correct answer is C

No explanation has been provided for this answer.

1,444.

State the fifth and seventh terms of the sequence $-2, -3, -4\frac{1}{2}, ...$

A.

$-\frac{81}{8}, -\frac{729}{32}$

B.

$\frac{8}{81}, \frac{72}{39}$

C.

$\frac{27}{729}, \frac{718}{39}$

D.

$-\frac{27}{16}, -\frac{79}{81}$

E.

$-\frac{21}{8}, \frac{32}{618}$

View answer & explanation

Correct answer is A

$-2, -3, -4\frac{1}{2}, ...$

This is a G.P with r = 1 $\frac{1}{2}$ .

$T_{n} = ar^{n - 1}$ (terms of a G.P)

$T_{5} = (-2)(\frac{3}{2})^{5 - 1}$

= $-2 \times \frac{81}{16}$

= $-\frac{81}{8}$

$T_{7} = (-2)(\frac{3}{2})^{7 - 1}$

= $-2 \times \frac{729}{64}$

= $-\frac{729}{32}$

1,445.

Simplify $\frac{2.25}{0.015}$ leaving your answer in standard form

A.

1.5 x 10^-4

B.

1.5 x 10^-2

C.

1.5 x 10^-3

D.

1.5 x 10¹

E.

1.5 x 10²

View answer & explanation

Correct answer is E

$\frac{2.25}{0.015}$

= $\frac{2250}{15}$

= $150$

= $1.5 \times 10^{2}$

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