Post Utme Mathematics Past Questions and Answers

Question 156:

Write the following expression as a single fraction: \(\frac{2}{2x-3} + \frac{1}{2-x}\)

A. \(\frac{7}{(2x-3)(2-x))}\)
B. \(\frac{4x+1}{(2x-3)(2-x)}\)
C. \(\frac{1}{(2x-3)(2-x)}\)
D. \(\frac{7-4x}{(2x-3)(2-x)}\)

Question 157:

Make \(q\) the subject of the formula: \(\frac{q-r}{t} = \frac{v-q}{v}\).

A. \(q = \frac{v(t+r)}{v+t}\)
B. \(q = \frac{vt+r}{t-v}\)
C. \(q = r(\frac{v-t}{v})\)
D. \(q = \frac{v-q}{v} + \frac{r}{t}\)

Question 158:

Solve for \(x\) if \(\log_2(x + 2) + 3\log_2 2 = 5\)

A. 2
B. 3
C. 4
D. 5

Question 159:

The shares owned by Bola and Tolu a joint business valued at #1,300,000 are in the ratio 5:8 respectively. What value of the business would Bola own if she sold 20% of her share of the business to Tolu?

A. N400,000
B. N500,000
C. N800,000
D. N900,000

Question 160:

An aeroplane is traveling at an average speed of 200 m/s. Its speed in kilometres per hour is

A. 360 km/hr
B. 720 km/hr
C. 800 km/hr
D. 1000 km/hr