Mathematics Past Questions And Answers
A binary operation * is defined on the set of real numbers R, by a* b = -1. Find the identity element under the operation *.
- A. -1
- B. 0
- C. 1
- D. 2
Factorize 4x2 - 9y2 + 20x + 25
- A. (2x -3y + 5)(2x - 3y - 5)
- B. (2x - 3y)(2x + 3y)
- C. (2x - 3y +5)(2x + 3y + 5)
- D. (2x + 5)(2x - 9y +5)
A particle starts from rest and moves in a straight line such that its velocity, V ms\(^{-1}\), at time t second is given by V = 3t\(^2\) - 6t. Calculate the acceleration in the 3rd second.
- A. 12m
- B. 16m
- C. 64m
- D. 96m
Which inequality describes the graph below?
- A. \(4y + 5x ≥ 20\)
- B. \(5y + 4x ≤ 20\)
- C. \(4y + 5x ≤ 20\)
- D. \(5y + 4x ≥ 20\)
A function \(f\) is defined by \(f :x→\frac{x + 2}{x - 3},x ≠ 3\).Find the inverse of \(f\) .
- A. \(\frac{x + 3}{x - 2},x ≠ 2\)
- B. \(\frac{x - 3}{x + 2},x ≠ -2\)
- C. \(\frac{3x - 2}{x+1},x ≠ -1\)
- D. \(\frac{3x + 2}{x - 1},x ≠ 1\)
What is the probability of having an odd number in a single throw of a fair die with the faces numbered 1,2,3,4,5,6?
- A. 5/6
- B. 2/3
- C. 1/2
- D. 1/3
Find the variance of 11, 12, 13, 14 and 15.
- A. 2
- B. 3
- C. \(\sqrt{2}\)
- D. 13
If a number is chosen at random from the set {x: 4 \(\leq x \leq 15\)}. Find the probability that it is a multiple of 3 or a multiple of 4
- A. \(\frac{1}{12}\)
- B. \(\frac{5}{12}\)
- C. \(\frac{7}{12}\)
- D. \(\frac{11}{12}\)
In the diagram, \(P\hat{Q}S = 65^o, R\hat{P}S = 40^2\hspace{1mm}and\hspace{1mm}Q\hat{S}R=20^o\hspace{1mm}P\hat{S}Q\)
- A. 85o
- B. 60o
- C. 55o
- D. 45o
The perpendicular bisectors of the sides of an acute-angled triangle are drawn. Which of these statements is correct? They intersect
- A. on one of the vertices
- B. at a midpoint of a side
- C. inside the triangle
- D. outside the triangle