10th Class Mathematics 2nd Quarter Book Paper

Q1. Multiple choice questions (Attempt all · 12 × 1 = 12)

1. An expression which is the ratio of two polynomials but the polynomial in denominator is non-zero is called.
   1. polynomial
   2. rational Expression
   3. compound Expression
   4. irrational Expression
2. Which ordered pair is a solution of the system 2x - y ≤ 5 and x + 2y > 2?
   1. (1 , -1)
   2. (4 , 1)
   3. (2 , 0)
   4. (3 , 2)
3. If $f(x) =\frac{1}{2} x$, what is $f^2 (x)$ ?
   1. $\frac{1}{4x}$
   2. $\frac{1}{4} x$
   3. 2x
   4. $\frac{1}{4} x^2$
4. Coefficients in the polynomial $\sqrt{16x^2y} - \frac{1}{2}y^3 + \frac{22}{7}z$ are the elements of the set of:
   1. Integers
   2. Irrational numbers
   3. Odd numbers
   4. Rational numbers
5. The solution of the $\frac{x}{-2}$ < 3 - x is:
   1. x < 2
   2. x < 6
   3. x > 2
   4. x < -2
6. Which of the following is an exponential function?
   1. $\left(\frac{1}{3}\right)^x$
   2. $e^x$
   3. $2^x$
   4. All of these
7. Ali is 2 years younger than his sister Ayesha. If Ayesha's present age is x years, then the age of Ali after 5 years will be.
   1. (x + 7) years
   2. (x - 2) years
   3. (x + 3) years
   4. (x - 7) years
8. (7 , -2) is a solution of the inequality;
   1. x - y < -4
   2. 2x + y < 10
   3. x + 10y < 1
   4. #NAME?
9. What is the domain of the relation g = {(1, 0), (2, 2), (3, 0), (2, 4)}?
   1. {0, 1, 2, 3}
   2. {0, 2, 4}
   3. {1, 2, 3}
   4. {0, 1, 2, 3, 4}
10. Difference of the sum of a and b from the product of a and b is
    1. ab - a - b
    2. a + b - ab
    3. 2ab - b
    4. none
11. The solution of the inequality x < 3 for x ∈ N is:
    1. {1 , 1 , 2}
    2. {-2 , -2 , 0 , 1, 2}
    3. {1 , 2}
    4. {1}
12. At what point will the graph of $y = 2x^2 - 1$ cuts y-axis?
    1. $$\left( \pm \frac{1}{\sqrt{2}}, 0 \right)$$
    2. -1
    3. (0, -1)
    4. (-1, 0)