WAEC Mathematics Past Questions & Answers - Page 339

1,691.

Find the 8th term of the A.P -3, -1, 1 ......

A.

13

B.

11

C.

-8

D.

-11

E.

-17

Correct answer is B

Un = a + (n-1)d
     = -3 + (8 - 1)2
     = 11

1,692.

Simplify 36\(^\frac{1}{2}\) x 64\(-^\frac{1}{3}\) x 5\(^0\)

A.

0

B.

1\24

C.

2/3

D.

11/2

E.

71/2

Correct answer is D

36\(^\frac{1}{2}\) x 64\(-^\frac{1}{3}\) x 5\(^0\)

= \(6 \times \frac{1}{4} \times 1\)

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

1,693.

Express the product of 0.06 and 0.09 in standard form

A.

5.4 * 10-1

B.

5.4*10-2

C.

5.4*10-3

D.

5.4*102

E.

5.4*103

Correct answer is C

0.06 x 0.09 = 0.0054

= 5.4 x 10-3

1,694.

Evaluate (101.5)2 - (100.5)2

A.

1

B.

2.02

C.

20.02

D.

202

E.

2020

Correct answer is D

(101.5)2 - (100.5)2;(101.5 + 100.5)

202 x 1

= 202

1,695.

If sin\( \theta \) = K find tan\(\theta\), 0° \(\leq\) \(\theta\) \(\leq\) 90°.

A.

1-K

B.

\( \frac{k}{k - 1} \)

C.

\( \frac{k}{\sqrt{1 - k^2}} \)

D.

\( \frac{k}{1 - k} \)

E.

\( \frac{k}{\sqrt{ k^2 - 1}} \)

Correct answer is C

\(\sin \theta = \frac{k}{1}\)

\(\implies 1^2 = k^2 + adj^2\)

\(adj = \sqrt{1 - k^2}\)

\(\therefore \tan \theta = \frac{k}{\sqrt{1 - k^2}}\)