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.

241.

if tanθ = \(frac{3}{4}\), 180° < θ < 270°, find the value of cosθ.

A.

\(\frac{4}{5}\)

B.

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

C.

-\(\frac{4}{5}\)

D.

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

Correct answer is C

tanθ = \(frac{3}{4}\) → tanθ = 0.75

θ = tan\(^{-1}\)[0.75] → 36.8698°

cosθ = cos[36.8698°] 

→ 0.800 or  \(frac{4}{5}\) 

However; in the third quadrant Cosine is negative

i.e -\(frac{4}{5}\) 

242.

Find The quadratic Equation Whose Roots Are -2q And 5q. 

A.

3x\(^2\) + 3qx - 10q\(^2\)

B.

x\(^2\) + 3qx + 10q\(^2\)

C.

x\(^2\) - 3qx + 10q\(^2\)

D.

x\(^2\) - 3qx - 10q\(^2\)

Correct answer is D

x\(^2\) - (sum of roots)x + (products of roots) = 0

x\(^2\) - (-2q + 5q) + (-2q * 5q) = 0

x\(^2\) -(3q) + (-10q\(^2\)) = 0

x\(^2\) -3q - 10q\(^2\) = 0

244.

In △LMN, |LM| = 6cm, ∠LNM = x and sin x = sin x = \(\frac{3}{5}\).

Find the area of △LMN 

A.

60cm\(^2\)

B.

48cm\(^2\)

C.

24cm\(^2\)

D.

30cm\(^2\)

Correct answer is C

No explanation has been provided for this answer.

245.

The height of an equilateral triangle of side is 10 3√ cm. calculate its perimeter.

A.

20cm

B.

60cm

C.

40cm

D.

30cm

Correct answer is B

Height of an equilateral triangle, h = a\(\frac{√3}{2}\), where a is the side of the equilateral triangle.

10√3 = a\(\frac{√3}{2}\)

cross multiply--> 2 * 10√3 = a√3

√3 strikes √3 on both sides

20 = a

The perimeter of an equilateral triangle is: P = 3a

P = 3 * 20 = 60cm

P = 30√3