Mathematics Past Questions and Answers

With reference to the graph above, which f the following solution sets is represented by ΔOPQ?

A Y ≥ x, y ≤ 0, y + x ≥ 7
B Y ≤ x, y ≥ 0, y + x ≤ 7
C Y ≥ x, y ≥ 0, y + x ≤ 7
D Y ≤ x, y ≤ 0, y + x ≤ 7
E Y ≤ x, y ≥ 0, y + x ≥ 7

Question 87:

Find the volume of a cone of radius 3.5cm and vertical height 12cm [Take π = 22/7]

A 3.4cm²
B 15.5cm²
C 21.0cm²
D 42.0cm²
E 154.0cm²

Question 88:

The table above gives the scores of a group of students in an English Language test

If a student is chosen at random from the group, what is the probability that the scored at least 6 marks?

A 3/20
B 1/5
C 1/4
D 3/10
E 3/4

Question 89:

The angle of a sector of a circle of diameter 8cm [Take x = 22/7].

A 9³/₇cm²
B 12⁴/₇cm²
C 18⁵/₇cm²
D 25¹/₇cm²
E 31³/₇cm²

Question 90:

In the diagram above, O is the center of the circle QRT and PT is a tangent to the circle at T. Calculate the angle x

A 55^o
B 40^o
C 35^o
D 25^o
E 20^o