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.

326.

If tan y is positive and sin y is negative, in which quadrant would y lie? 

A.

First and third only

B.

First and second only

C.

Third only

D.

Second only

Correct answer is C

No explanation has been provided for this answer.

327.

Fati buys milk at ₦x per tin sells each at a profit of ₦y. If she sells 10 tins of milk, how much does she receives from the sales?

A.

₦(xy + 10)

B.

₦(x + 10y)

C.

₦(10x + y)

D.

₦10(x + y)

Correct answer is D

Selling Price for each = ₦x + ₦y 

= 10(₦x + ₦y)

328.

A fence 2.4 m tall, is 10m away from a tree of height 16m. Calculate the angle of elevation of the top of the tree from the top of the fence. 

A.

76.11\(^o\)

B.

53.67\(^o\)

C.

52.40\(^o\)

D.

51.32\(^o\)

Correct answer is B

Tan \(\theta\) = \(\frac{13.6}{10}\)

= tan\(^{-1}\)(1.36)

\(\theta\) = 53.67\(^o\)

329.

In the diagram, XYZ is an equilateral triangle of side 6cm and Y is the midpoint of \(\overline{XY}\). Find tan (< XZT) 

A.

\(\frac{1}{\sqrt{3}}\)

B.

\(\frac{\sqrt{3}}{2}\)

C.

\(\sqrt{3}\)

D.

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

Correct answer is A

ZT = \(\sqrt{6^2 - 3^2}\)

ZT = \(\sqrt{27}\) = \(3\sqrt{3}\)

tan (< XZT) =  \(\frac{3}{3\sqrt{3}}\)

= - \(\frac{1}{\sqrt{3}}\)

330.

Simplify; \(\frac{a}{b} - \frac{b}{a} - \frac{c}{b}\)

A.

\(\frac{a - b + c}{ab}\)

B.

\(\frac{ab - bc - ac}{ab}\)

C.

\(\frac{a^2 - b^2 + ac}{ab}\)

D.

\(\frac{a^2 - b^2 - ac}{ab}\)

Correct answer is D

\(\frac{a}{b} - \frac{b}{a} - \frac{c}{b}\)

\(\frac{a^2 - b^2- ac}{ab}\)