Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

1,046.

The lengths of the sides of a triangle are 15m, 21m, and 28cm. What is the size of the angle facing the side 21m (correct to one decimal place)?

A.

85.7°

B.

47.5°

C.

41.4°

D.

38.2°

Correct answer is B

using cosine rule,

\(cos\theta\) = \(\frac{28^2 + 15^2 - 21^2}{2\times28\times15}\)

= \(\frac{568}{840}\)

\(\theta = cos^{-1}\)

= 47.5°

1,047.

If sin θ = 4/5 where 0° ∠ θ ∠ 900, what is the value of cos θ + tan θ?

A.

\(\frac{14}{15}\)

B.

\(\frac{29}{15}\)

C.

\(\frac{13}{8}\)

D.

\(\frac{144}{15}\)

E.

\(\frac{24}{5}\)

Correct answer is B

No explanation has been provided for this answer.

1,048.

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

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

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

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

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

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

1,049.

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.

1,050.

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.