WAEC Mathematics Past Questions & Answers - Page 134

666.

Using the diagram, find the bearing of X from Y

A.

300o

B.

240o

C.

120o

D.

60o

Correct answer is B

The bearing of X from Y

= 360 - 120 = 240

667.

In the diagram, \SQ\ = 4cm, \PT\ = 7cm. /TR/ = 5cm and ST//OR. If /SP/ = xcm, find the value of x

A.

5.6

B.

6.5

C.

6.6

D.

6.8

Correct answer is A

\(\frac{/PS/}{/PQ/} = \frac{/PT/}{/PR/}\)

\(\frac{x}{4 + x} = \frac{7}{7 + 5}\)

\(\frac{x}{4 + x} = \frac{7}{12}\)

(2x = 7)(4 + x); 12x = 28 + 7x

12x - 7x = 28

5x = 28

x = \(\frac{28}{5}\)

x = 5.6

668.

Find the value of x in the diagram

A.

50o

B.

30o

C.

22o

D.

17o

Correct answer is D

Sum of exterior angles of a polygon = 360o

(x + 64) + 2x + (3x - 54) + 5x + 4x + 3x + (2x + 10) = 360o

20x + 20 = 360o

20x + 360 - 20 = 340o

x = \(\frac{340}{20}\)

x = 17o

669.

In the diagram, IG is parallel to JE, JEF = 120o and FHG = 130o, fins the angle marked t

A.

40o

B.

70o

C.

80o

D.

100o

Correct answer is B

Now, t + 60o + 50o = 180o

t = 180o - 110o

t = 70o

670.

In the diagram, /TP/ = 12cm and it is 6cm from O, the centre of the circle, Calculate < TOP

A.

120o

B.

90o

C.

60o

D.

45o

Correct answer is B

Tan \(\theta = \frac{6}{6} = 1\)

\(\theta\) = tab - 1(1) = 45o

< top = 20

= 2 x 45o = 90o