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.

186.

Given that S = \(3t^{2}\) + 5t - 10 is displacement of a particle in metres, calculate it initial velocity.

A.

10m/s

B.

2m/s

C.

5m/s

D.

6m/s

Correct answer is C

No explanation has been provided for this answer.

187.

Evaluate \(^{n^2 + 1}\)C\(_{n+5}\) if n = 3 

A.

55

B.

45

C.

35

D.

25

Correct answer is B

\(^{3^2 + 1}\)C\(_{3+5}\)

\(^{9 + 1}\)C\(_{3+5}\) 

\(^{10}\)C\(_{8}\) = \(\frac{10!}{8! 2!}\)

\(\frac{10 * 9 * 8!}{8! 2!}\) = \(\frac{10 * 9}{2}\)

= 45

188.

The coordinates of the mid-point of the line joining the points (-3,5) and (2,10) is given by? 

A.

( \(\frac{1}{2}\), \(\frac{15}{2}\) )

B.

( \(\frac{1}{2}\), \(\frac{-15}{2}\) )

C.

( \(\frac{-1}{2}\), \(\frac{-15}{2}\) )

D.

( \(\frac{-1}{2}\), \(\frac{15}{2}\) )

Correct answer is D

Given Data: x\(_1\) = -3,  x\(_2\) = 2,  y\(_1\) = 5,  y\(_2\) = 10

coordinates of the mid-point of the line = (\(\frac{x_1 + x_2}{2}\) , \(\frac{y_1 + y_2}{2}\))

(\(\frac{-3 +2}{2}\) , \(\frac{5 + 10}{2}\))

=  \(\frac{-1}{2}\)) , \(\frac{15}{2}\))

189.

The cost C of running a school is directly proportional to the number of students N, if 20 students cost #10,000, How many students can #1,000,000 cover?

A.

3000

B.

1000

C.

2000

D.

4000

Correct answer is C

if 20 students = 10000

: #500 per student

#1,000,000 ÷ 500

= 2,000 cover students

190.

The equivalent of (10110.011)\(_2\) in base 10 is?

A.

26.325

B.

24.372

C.

42.443

D.

22.375

Correct answer is D

Using the expansion method on (10110.011)\(_2\)

(1 * 2\(^4\)) + (0 * 2\(^3\)) + (1 * 2\(^2\)) + (1 * 2\(^1\)) (0 * 2\(^0\)) + (0 * 2\(^{-1}\)) + (1 * 2\(^{-2}\))  + (1 * 2\(^{-3}\))

(1*16) + 0 (1*4) + (1*2) + 0 + 0 + (1*\(\frac{1}{4}\)) + (1*\(\frac{1}{8}\)) 

16 + 4 + 2 + (0.25 + 0.125)

22 + 0.375

(10110.011)\(_2\) = 22.375\(_{10}\)