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.

371.

Factorize completely; (2x + 2y)(x - y) + (2x - 2y)(x + y) 

A.

4(x - y)(x + y)

B.

(4(x - y)

C.

2(x - y)(x + y)

D.

2(x - y)

Correct answer is A

(2x + 2y)(x - y) + (2x - 2y)(x - y)

2(x + y)(x - y) + 2(x - y)(x + y) 

4(x - y)(x + y) 

372.

In the diagram, POS and ROT are straight lines. OPQR is a parallelogram, |OS| = |OT| and OST = 50°. Calculate the value of OPQ.

A.

100\(^o\)

B.

120\(^o\)

C.

140\(^o\)

D.

160\(^o\)

Correct answer is A

S\(O\)T = 180\(^o\) - (50 + 50) 

= 80\(^o\) 

P\(Q\)R = 80\(^o\)

= \(\frac{360^o - 160^o}{2}\) = 100\(^o\)

373.

A rectangular board has a length of 15cm and width x cm. If its sides are doubled, find its new area.

A.

60x cm\(^2\)

B.

45x cm\(^2\)

C.

30x cm\(^2\)

D.

15x cm\(^2\)

Correct answer is A

New are = (2 x 15) x (2 x \(x\)) 

= 60cm\(^2\)

374.

Find the angle at which an arc of length 22 cm subtends at the centre of a circle of radius 15cm.  [Take \(\pi = \frac{22}{7}\)]

A.

70\(^o\)

B.

84\(^o\)

C.

96\(^o\)

D.

156\(^o\)

Correct answer is B

L = \(\frac{\theta}{360} \times 2 \pi r\)

22 = \(\frac{theta}{360} \times 2 \times \frac{22}{7} \times 15\)

\(\theta = \frac{22 \times 360 \times 7}{2 \times 22 \times 15}\)

\(\theta\) = 84\(^o\) 

375.

Eric sold his house through an agent who charged 8% commission on the selling price. If Eric received $117,760.00 after the sale, what was the selling price of the house? 

A.

$130,000.00

B.

$128,000.00

C.

$125,000.00

D.

$120,000.00

Correct answer is B

\(\frac{8}{100} \times x + 117,760 = x\)

x - \(\frac{8x}{100} = 117,760

\(\frac{92x}{100} = 117,760\)

x = \(\frac{117,760 \times 100}{92}\)

Selling price = N128,000