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JAMB Mathematics Past Questions & Answers - Page 138

686.

In the figure, find the area of XYZW

A.

60cm²

B.

54cm²

C.

36cm²

D.

54 $\sqrt{2}$ cm²

E.

27 $\sqrt{2}$ cm²

View answer & explanation

Correct answer is C

Average of trapezium XYZW = $\frac{1}{2}$ (a + b)h from rt < YDZ,

h = 8 sin 30º

area = $\frac{1}{2}$ (10 + 8)4

= 8 x $\frac{1}{2}$ = 4

$\frac{1}{2}$ (18) x 4

= 36cm2

687.

In the figure, the chords XY and ZW are produced to meet at T such that YT = WT, ZYW = 40o and YTW = 30o. What is YXW?

A.

50^o

B.

75^o

C.

35^o

D.

115^o

E.

30^o

View answer & explanation

Correct answer is C

< WYT = $\frac{180 - 30}{2}$

= $\frac{150}{2}$

= 75o(base angles of isosceles D)

YXW = 75 - 40 = 35o(Exterior angle is equal to sum of interior angles)

688.

Find the area of the shades segments in the figure

A.

$\sqrt{3}$

B.

4 $\pi - \sqrt{3}$

C.

- $\frac{2}{3} \pi$

D.

$\frac{2\pi}{3}$ -3

View answer & explanation

Correct answer is D

Area of section = $\frac{60^o}{360^o}$ x 11r²

= $\frac{60}{360} \times \pi \times 2^2$

= $\frac{1}{6}$ x 4

= $\frac{4\pi}{6}$

= $\frac{2\pi}{3}$

Area of triangle = $\frac{1}{2x}$

= 2 x 28.......60

Segment Area = Area of section - Area of triangle

= $\frac{2\pi}{3}$ -3

689.

If $\theta$ = $\frac{3}{2}$ and $\theta$ is less than 90^o, calculate tan $\frac{(90 - \theta)}{cos^2\theta}$

A.

$\frac{1}{2}$

B.

$\frac{4}{\sqrt{3}}$

C.

$\sqrt{3}$

D.

4 $\sqrt{3}$

View answer & explanation

Correct answer is B

No explanation has been provided for this answer.

690.

In the figure, PS = SR and Rx is a tangent to the circle at R, < QRX is equal to 72o. Find angle SPR

A.

20^o

B.

36^o

C.

72^o

D.

30^o

E.

15^o

View answer & explanation

Correct answer is B

XRQ = RSQ (Alternate segment)

s = 72o

(80o - 72o = 180o)

a + b + c = 190o = 2b + c = 180o

2b + 108 = 180o

2b = 72o

b = 36o

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