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WAEC Further Mathematics Past Questions & Answers - Page 73

361.

Simplify (1+23)2(123)2

A.

0

B.

83

C.

13

D.

243

Correct answer is B

(1+23)2=1+43+12=13+43

(123)2=143+12=1343

13+43(1343)=13+4313+43

= 83 

362.

Find the maximum value of 2+sin(θ+25).

A.

1

B.

2

C.

3

D.

4

Correct answer is C

sinθ1

i.e Maximum value of sinθθ=1.

Therefore, 2+sinθ2+1=3

363.

The initial velocity of an object is u=(53)ms1. If the acceleration of the object is a=(34)ms2 and it moved for 3 seconds, find the final velocity.

A.

(1415)ms1

B.

(21)ms1

C.

(49)ms1

D.

(149)ms1

Correct answer is C

u=(53)ms1

a=(34)ms2;t=3secs

v=u+atv=(53)+(34)×3

= (53)+(912)=(49)ms1\)

364.