Mathematics Past Questions and Answers

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 17:

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 18:

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 19:

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

Question 20:

A set of data contains a total of 130 items which are divided into six groups for display on a pie chart. If one group contains 26 items, then the sector representing this group on the pie chart contains an angle x^o at the centre of the circle where x is

A 36o
B 60o
C 70o
D 72o
E 75o