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WAEC Further Mathematics Past Questions & Answers - Page 36

176.

Solve, correct to three significant figures, (0.3)x =  (0,5)8

A.

4.61

B.

4.606

C.

0.461

D.

0.0130

Correct answer is A

(0,3)x = (0.5)8 

xlog 0,3 = 9 log 0.5

x = 8log0.5log0.3

= 4.606

177.

A 35 N force acts on a body of mass 5 kg for 2 seconds. Calculate the change in momentum of the body.

A.

70 kg ms1

B.

55 kg ms1

C.

50 kg ms1

D.

35 kg ms1

Correct answer is A

Change in momentum 

= F x t = 35N x 2 

= 70kg ms1 

178.

Which of these inequalities is represented by the shaded portion of the graph? 

A.

2y + x - 3 < 0

B.

2y - x - 3 < 0

C.

2y - x + 3 < 0

D.

2y + x +3 < 0

Correct answer is B

(0, 1.5), (-3, 0) 

m = 01.53,0 = 0.5

0.5 = y1.53.0 = 0.5

y = 0.5x + 1.5 

2y = x + 3

2y - x - 3 < 0

179.

Find the constant term in the binomial expansion of (2x2 +  1x2)4

A.

10

B.

12

C.

24

D.

42

Correct answer is B

6(2x2)2 (1x2)2  

= 6 x 2

= 12

180.

A particle starts from rest and moves in a straight line such that its velocity, V ms1, at time t second is given by V = 3t2 - 6t. Calculate the acceleration in the 3rd second. 

A.

12m

B.

16m

C.

64m

D.

96m

Correct answer is B

V = 3t2 - 6t

dsdt=3t26t

s = 3t26t

s = 3t336t22+k

s = t3 - 3t2 + k

s = 0, t = 0

s = t3 - 3t2 

s = 43 - 3t2 

s = 43 - 3(4)2 

= 64 - 48 = 16m