NECO Mathematics Past Questions & Answers - Page 31

151.

Evaluate (\(\frac{1}{343}\))\(^{\frac{1}{3}}\) + (64)\(^{-\frac{1}{3}}\) - \(\frac{4}{9}\)\(^{-\frac{1}{2}}\)

A.

-\(\frac{17}{36}\)

B.

-\(\frac{3}{28}\)

C.

\(\frac{31}{28}\)

D.

\(\frac{17}{36}\)

E.

\(\frac{1}{4}\)

Correct answer is C

(\(\frac{1}{343}\))\(^{\frac{1}{3}}\) + (64)\(^{-\frac{1}{3}}\) - \(\frac{4}{9}\)\(^{-\frac{1}{2}}\)

where \(343 = 7^3,  64 = 2^6,  4 = 2^2,  9 = 3^2\)

\(7^{-3}\) \(^{\frac{1}{3}}\) + \(2^6\) \(^{\frac{-1}{3}}\) - \(\frac{2^2}{3^2}\) \(^{\frac{-1}{2}}\) 

\(7^{-1} + 2^{-2} - (\frac{2}{3})^{-1}\)

\(\frac{1}{7} + \frac{1}{4} - \frac{3}{2}\)

\(\frac{4+7-42}{28}\)

\(\frac{31}{28}\)

152.

Solve the equation x2 - 3x - 10 = 0

A.

-2 or -5

B.

-3 or -10

C.

5 or -2

D.

2 or 5

E.

3 or 10

Correct answer is C

No explanation has been provided for this answer.

153.

Convert 101.0112 to base 10

A.

63

B.

43

C.

10

D.

\(\frac{77}{8}\)

E.

\(\frac{53}{8}\)

Correct answer is E

No explanation has been provided for this answer.

154.

Express 0.03785 in standard form correct to 3 significant figures.

A.

3 × 10\(^{-2}\)

B.

3.78 × 10\(^{-2}\)

C.

3.79 × 10\(^{-2}\)

D.

3.79 × 10\(^{-1}\)

E.

3.78 × 10\(^{-2}\)

Correct answer is C

No explanation has been provided for this answer.

155.

The first term of a G.P is 7. Find its 4th term, if its common ratio is 3.

A.

567

B.

280

C.

189

D.

63

E.

21

Correct answer is C

No explanation has been provided for this answer.