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WAEC Mathematics Past Questions & Answers - Page 322

1,606.

If 3 $^{2x}$ = 27, what is x?

1.5

4.5

40.5

View answer & explanation

Correct answer is B

p>3 $^{2x}$ = 27

3 $^{2x}$ = 3 $^3$

2x = 3

x = 1.5

1,607.

Simplify 125 $^{\frac{-1}{3}}$ x 49 $^{\frac{-1}{2}}$ x 10 $^0$

350

1/35

1/350

View answer & explanation

Correct answer is C

125 $^{\frac{-1}{3}}$ x 49 $^{\frac{-1}{2}}$ x 10 $^0$

= 5 $^{-1}$ x 7 $^{-1}$ x 1

= $\frac{1}{35}$

1,608.

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

9¹/₂

5¹/₂

View answer & explanation

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

1,609.

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

4^o

8^o

16^o

20^o

32^o

View answer & explanation

Correct answer is B

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

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

= 8^o

1,610.

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

1/6

1/3

1/2

2/3

5/6

View answer & explanation

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

= $\frac{1}{3} \times \frac{1}{2} \times \frac{1}{1}$

= $\frac{1}{6}$

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