Mathematics Past Questions and Answers

Make c the subject of formula v = 1 - \(\frac{a}{5}\)(b + \(\frac{3c}{7}\))

A [\(\frac{7}{3}\) + \(\frac{5}{a}\)(v - 1)] + b
B [\(\frac{7b}{3}\) + \(\frac{5}{a}\)(v - 1)]
C \(\frac{7}{3}\)[b + \(\frac{5}{a}\)(v - 1)]
D \(\frac{7}{3}\)[b + \(\frac{5v - 1}{a}\)]

Question 17:

What factor is common to all the expressions x² - x, 2x² + x - 1 and x² - 1?

A X
B X + 1
C X - 1
D No common factor
E (2x - 1)

Question 18:

Which of the formula below represents the general terms of the following set of numbers(-1, \(\frac{2}{3}\), -\(\frac{1}{2}\), \(\frac{2}{5}\)......) for n = 1, 2, 3, 4.......?

A \(\frac{2}{n + 1}\)
B (-1)^{n + 1} \(\frac{2}{n + 1}\)
C (-1)ⁿ \(\frac{2}{n + 1}\)
D \(\frac{n}{2n - 1}\)
E (-1)ⁿ\(\frac{n}{2n - 1}\)

Question 19:

Three numbers, x, y and z are connected by the relationships y = \(\frac{4x}{9}\) + 1. If x = 99, find z

A 6\(\frac{1}{3}\)
B 20
C 21
D 176\(\frac{4}{9}\)
E None of the above

Question 20:

In a school, there are 35 students in class 2A and 40 in class 2B. The mean score for class 2 in an English Literature examination is 60.0 and that for 2B in the same paper is 52.5. Find, to one place of decimal, the mean for the combined classes

A 2.5
B 56.0
C 56.2
D 56.3
E 6.5