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.

2,856.

Find the value of x in the equation 3x\(^2\) - 8x - 3 = 0

A.

\(\frac{1}{3},-3\)

B.

\(-\frac{1}{3},-3\)

C.

\(-\frac{1}{3},3\)

D.

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

Correct answer is C

3x\(^2\) - 8x - 3 = 0

3x\(^2\) - 9x + x - 3 = 0

3x(x - 3) + 1(x - 3) = 0

(3x + 1)(x - 3) = 0

3x = -1 \(\implies\) x = \(-\frac{1}{3}\)

or x = 3.

2,857.

In the diagram, ZM is a straight line. Calculate the value of x.

A.

27o

B.

30o

C.

35o

D.

37o

Correct answer is C

The sum of angles in a triangle is 180o
2xo + (2x -21)o + ∠ZYP = 180o
Also ∠ZYP = 180o - (3x+14)o
∴2xo + (2x-21)o + 180o - (3x+14)o = 180
x = 35o

2,858.

PQRS is a cyclic quadrilateral. If ∠QPS = 75°, what is the size of ∠QRS?

A.

180o

B.

150o

C.

105o

D.

75o

Correct answer is C

< QPS = 75°

< QRS = 180° - 75° = 105° (opposite angles of a cyclic quadrilateral)

2,859.

A pyramid of volume 120cm3 has a rectangular base which measures 5cm by 6cm. Calculate the height of the pyramid

A.

5cm

B.

9cm

C.

12cm

D.

15cm

Correct answer is C

\(V= \frac{1}{2}\hspace{1mm}base\hspace{1mm}area\hspace{1mm}\times\hspace{1mm}height\\
120=\frac{1}{3}\times 5 \times 6 \times h; h = \frac{120}{10}=12cm\)

2,860.

Evaluate \(\frac{log8}{log\left(\frac{1}{4}\right)}\)

A.

-2

B.

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

C.

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

D.

4

Correct answer is B

\(\frac{log8}{log\frac{1}{4}}=\frac{log2^3}{log2^{-2}}=\frac{3log2}{-2log2}=-\frac{3}{2}\)