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WAEC Further Mathematics Past Questions & Answers - Page 22

106.

If 2y2 + 7 = 3y - xy, find dydx

A.

y4x+y3

B.

y4x+y3

C.

y4x+x3

D.

y4x+x3

Correct answer is D

2y2 + 7 = 3y - xy, find dydx

4y  dydx + 0 = 3 dydx - x  dydx + y

{4x+x-3}  dydx = y

= y4x+x3

107.

A fair die is tossed 60 times and the results are recorded in the table

Number of die 1 2 3 4 5 6
Frequency 15 10 14 2 8 11

Find the probability of obtaining a prime number.

A.

730

B.

16

C.

715

D.

815

Correct answer is D

Prime number in the experiment are 2,3 and 5 with frequencies 10,14 and 8

P(obtaining a prime number) = 10+14+860

3260 or 815

108.

A body of mass 15kg is placed on a smooth plane which is inclined at 60° to the horizontal. If the box is at rest,

calculate the normal reaction to the plane. [ Take g = 10m/s2 ]

A.

129.9N

B.

75N

C.

60.0N

D.

7.5N

Correct answer is B

Let  the normal reaction be R

R = Wcosø = mgcosø

= 15 * 10cos 60°

= 150 * 0.5000

= 75N

109.
110.

Find the inverse of  (4232)

A.

(111.52)

B.

(111.52)

C.

(211.51)

D.

(211.51)

Correct answer is A

Let A =  (4232);

|A| = -8 - (-6) = -8 + 6

|A| = -2

A1 = 12 =  (2234)

(111.52)