WAEC Past Questions and Answers - Page 4233

21,161.

In an A.P the first term is 2, and the sum of the 1st and the 6th term is 161/2. What is the 4th term

A.

12

B.

91/2

C.

8

D.

7

E.

51/2

Correct answer is B

1st term a = 2; 6th term = a + (16-1)d = 2 + 5d
2 + (2 + 5d) = 161/2; 4 + 5d = 161/2
5d = 12.5 ∴ = 2.5
the 4th term is 2 + (4-1)2.5= 91/2

21,162.

In the diagram, O is the center of the circle, If ∠POQ = 80o and ∠PRQ = 5x, find the value of x.

A.

4o

B.

8o

C.

16o

D.

20o

E.

32o

Correct answer is B

80o = 2 x 5x(angle at the center)

=80o = 10x; x = 80o/10

= 8o

21,163.

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

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

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

21,164.

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 

21,165.

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