Instructions:
* The question paper consists of two sections: Section A and Section B.
* Section A contains multiple-choice questions. Each question has four options. Choose the correct option and mark it on your answer sheet.
* Section B contains short-answer questions. Write your answers in the space provided.
Section A
1. Which of the following is not a real number?
(a) √4
(b) √-1
(c) π
(d) 3 + 2i
2. The square root of 16 is:
(a) 8
(b) -8
(c) 4
(d) -4
3. The value of sin 60° is:
(a) 1
(b) √3/2
(c) √2/2
(d) √3/4
4. The value of cos 90° is:
(a) 0
(b) 1
(c) √2/2
(d) √3/2
5. The value of tan 45° is:
(a) 0
(b) 1
(c) √2
(d) √3
Section B
1. Simplify the expression: (x^2 + 4x + 3)/(x + 1)
2. Solve the equation: 2x^2 - 5x - 3 = 0
3. Find the area of a circle with radius r.
4. Find the volume of a sphere with radius r.
5. Find the equation of a line passing through the points (2, 3) and (4, 7).
Answers
Section A
1. (b)
2. (c)
3. (b)
4. (a)
5. (c)
Section B
1. (x + 3)
2. x = (-3 + √13)/4 or x = (-3 - √13)/4
3. πr^2
4. (4/3)πr^3
5. y = 2x + 1