WAEC Mathematics Past Questions & Answers - Page 325

1,621.

What is the probability that 3 customers waiting in a bank will be served in the sequence of their arrival at the bank

A.

1/6

B.

1/3

C.

1/2

D.

2/3

E.

5/6

Correct answer is A

Probability that 3 customers are attended to in the sequence they arrive 

= prob of attending to the 1st arrival x prob of attending to the second last x prob of attending to the last

= \(\frac{1}{3} \times \frac{1}{2} \times \frac{1}{1}\)

= \(\frac{1}{6}\)

1,622.

sinθ = 1/2 and cosθ = -√3/2, what is the value of θ?

A.

30 0

B.

60 0

C.

90 o

D.

120 o

E.

150 o

Correct answer is E

In the 2nd Quadrant; SINE is the only Positive.

Where θ is 30 for the first quadrant and

 150 in the 2nd quadrant which makes COSINE negative 

1,623.

Given that logp = 2 logx + 3logq, which of the following expresses p in terms of x and q?

A.

p = 5xq

B.

p = 6xq

C.

p = x2 + q3

D.

p = 2x + 3q

E.

p = x2q3

Correct answer is E

log p = 2log x + 3log q

log p = logx 2 + logq 3

logp = log x 2q 3

p = x 2q 3

1,624.

Solve for x: (x2 + 2x + 1) = 25

A.

-6, -4

B.

6, -4

C.

6, 4

D.

-6, 4

E.

5, 5

Correct answer is D

x2 + 2x + 1 = 25

x2 + 6x - 4x -24= 0

x(x + 6) - 4(x + 6) = 0

(x - 4) - (x + 6) = 0

x = 4 or -6 = -6,4