NECO Mathematics Past Questions & Answers - Page 3

11.

If tan α = \(\frac{1}{2}\) and tan β = \(\frac{1}{3}\) and both α and β are acute, find tan (α + β).

A.

0.015

B.

1

C.

10

D.

39.81

E.

45

Correct answer is B

No explanation has been provided for this answer.

12.

Bello chooses a number randomly from 1 to 10. What is the probability that it is either odd or prime?

A.

\(\frac{1}{10}\)

B.

\(\frac{2}{5}\)

C.

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

D.

\(\frac{3}{5}\)

E.

\(\frac{9}{10}\)

Correct answer is D

No explanation has been provided for this answer.

13.

In proving the congruence of two triangles, which of the following is not important?

A.

two sides and the included angles

B.

two angles and a side

C.

three sides

D.

three angles

E.

right angle, hypotenuse and another side

Correct answer is B

No explanation has been provided for this answer.

14.

Rationalize the expression \(\frac{(7 - \sqrt{3})}{(13 - \sqrt{3})}\)

A.

(44 + 3\(\sqrt{3}\)) ÷ 83

B.

(44 + 2\(\sqrt{3}\)) ÷ 83

C.

(44 - 3\(\sqrt{3}\)) ÷ 83

D.

(44 - 4\(\sqrt{3}\)) ÷ 83

E.

(44 - 2\(\sqrt{3}\)) ÷ 83

Correct answer is C

No explanation has been provided for this answer.

15.

Rationalize the expression \(\frac{(7 - \sqrt{3})}{(13 - \sqrt{3})}\)

A.

(44 + 3\(\sqrt{3}\)) ÷ 83

B.

(44 + 2\(\sqrt{3}\)) ÷ 83

C.

(44 - 3\(\sqrt{3}\)) ÷ 83

D.

(44 - 4\(\sqrt{3}\)) ÷ 83

E.

(44 - 2\(\sqrt{3}\)) ÷ 83

Correct answer is C

No explanation has been provided for this answer.