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.

336.

Two buses start from the same station at 9.00am and travel in opposite directions along the same straight road. The first bus travel at a speed of 72 km/h and the second at 48 km/h. At what time will they be 240km apart?

A.

1:00 pm

B.

12:00 noon

C.

11:00 am

D.

10:00 am

Correct answer is C

Let x be the time 

Then 72x + 48x = 240 

\(\frac{120}{120} \times \frac{240}{120}\)

x = 2hrs

9:00 + 2hrs = 11:00 am 

337.

Given that x is directly proportional to y and inversely proportional to Z, x = 15 when y = 10 and Z = 4, find the equation connecting x, y and z

A.

x = \(\frac{6y}{z}\)

B.

x = \(\frac{12y}{z}\)

C.

x = \(\frac{3y}{z}\)

D.

x = \(\frac{3y}{2z}\)

Correct answer is A

\(x\) x \(\frac{y}{z}\) 

x = \(\frac{ky}{z}\)

15 = \(\frac{10k}{4}\) 

 \(\frac{60}{10}\) = k = 6

Therefore; x = \(\frac{6y}{z}\)

338.

Find the quadratic equation whose roots are \(\frac{1}{2}\)  and -\(\frac{1}{3}\) 

A.

3x\(^2\) + x + 1 = 0

B.

6x\(^2\) + x - 1 = 0

C.

3x\(^2\) + x - 1 = 0

D.

6x\(^2\) - x - 1 = 0

Correct answer is D

x = \(\frac{1}{2}\) and x = \(\frac{-1}{3}\) 

(2x - 1) = 0 and (3x + 1) = 0

(2x - 1) (3x + 1) = 0

6x\(^2\) - x - 1 = 0

339.

Make m the subject of the relation k = \(\frac{m - y}{m + 1}\)

A.

m = \(\frac{y + k^2}{k^2 + 1}\)

B.

m = \(\frac{y + k^2}{1 - k^2}\)

C.

m = \(\frac{y - k^2}{k^2 + 1}\)

D.

m = \(\frac{y - k^2}{1 - k^2}\)

Correct answer is B

k = \(\frac{m - y}{m + 1}\)

k\(^2\) = \(\frac{m  - y}{m + 1}\)

k\(^2\)m + k\(^2\) = m - y 

k\(^2\) + y = m - k\(^2\)m

\(\frac{k^2 + y}{1 - k^2}\) = m\(\frac{(1 - k^2)}{1 - k^2}\)

m = \(\frac{y + k^2}{1 - k^2}\)

340.

Solve \(\frac{1}{3}\)(5 - 3x) < \(\frac{2}{5}\)(3 - 7x)

A.

x > \(\frac{7}{22}\)

B.

x < \(\frac{7}{22}\)

C.

x > \(\frac{-7}{27}\)

D.

x < \(\frac{-7}{27}\)

Correct answer is D

\(\frac{1}{3}\)(5 - 3x) < \(\frac{2}{5}\)(3 - 7x)

5(5 - 3x) < 6(3 - 7x)

25 - 15x < 18 - 42x 

- 15x + 42x < 18 - 25

\(\frac{27x}{27}\) < \(\frac{-7}{27}\)

x < \(\frac{-7}{27}\)