WAEC Mathematics Past Questions & Answers - Page 324

1,616.

Express 0.00562 in standard form

A.

5.62 x 10-3

B.

5.62 x 10-2

C.

562 x 10-2

D.

5.62 x 102

E.

5.62 x 103

Correct answer is A

0.00562 = 5.62 x 10\(^{-3}\)

1,617.

If 3\(^{2x}\) = 27, what is x?

A.

1

B.

1.5

C.

4.5

D.

18

E.

40.5

Correct answer is B

p>3\(^{2x}\) = 27

3\(^{2x}\) = 3\(^3\)

2x = 3

x = 1.5

1,618.

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

A.

350

B.

35

C.

1/35

D.

1/350

Correct answer is C

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

= 5\(^{-1}\) x 7\(^{-1}\) x 1

= \(\frac{1}{35}\)

1,619.

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

1,620.

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