JAMB Mathematics Past Questions & Answers - Page 127

631.

In the figure, TSP = 100° and PRQ = 20°. Find PQR.

A.

140o

B.

120o

C.

75o

D.

30o

Correct answer is A

PSR = 80°

\(\therefore\) SRP = 20°

\(\implies\) RPQ = 20°

x = 140°

632.

The sketch is the curve of y = ax2 + bx + c. Find a, b and c respectively

A.

1, 0, -4

B.

-2, 2, -4

C.

0, 1, -4

D.

2, -2, -4

E.

2, -2, -4

Correct answer is A

Given the graph and the curve y = ax2 + bx + c the roots are x - 2 and 2 while its equation (x + 2)(x - 2) = y

y = x2 - 4 i.e. y = x2 + 0x - 4

a = 1, b = 0 and c = -4

633.

Find the volume of the figure

A.

\(\frac{a \pi^2}{3} (x + 3y) \)

B.

a\(\pi ^2\)y

C.

\(\frac{a \pi ^2}{3}\)(y + x)

D.

(\(\frac{1}{3} a \pi ^2 x + y\))

Correct answer is A

No explanation has been provided for this answer.

634.

In the figure, PQRS is a square of sides 8cm. What is the area of \(\bigtriangleup\)UVW?

A.

64 sq. cm

B.

40 sq.cm

C.

50 sq.cm

D.

10 sq.cm

Correct answer is D

No explanation has been provided for this answer.

635.

In this figure, PQ = PR = PS and SRT = 68<sup>o</sup>. Find QPS

A.

136o

B.

124o

C.

12o

D.

68o

Correct answer is A

Since PQRS is quadrilateral 2y + 2x = QPS = 360o

i.e. 2(y + x) + QPS = 360o

QPS = 360o - 2(y + x)

But x + y + 68o = 180o

x + y = 180o - 68o = 180o

x + y = 180o - 68o

= 112o

QPS = 360o - 2(112o)

360o - 224o = 136o