Name: PaperBanao
Price: 1000 PKR

Your school name

9th Class Mathematics Chapter 4 Test

9th Class · Mathematics · Federal (FBISE)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

x² − 9 can be factorized as:
1. (x − 3)(x + 3)
2. (x − 9)(x + 1)
3. (x − 3)²
4. (x + 3)²
a/b + c/b equals:
1. (a + c)/b
2. (a + c)/2b
3. ac/b
4. a+c
√(x²) is:
1. x only
2. ±x
3. x²
4. 2x
The HCF–LCM relation is useful for finding:
1. An unknown polynomial
2. Angles only
3. Logarithms only
4. Coordinates only
x (2a + 3b + 7) + x (2a + 3b + 5) equals
1. 2 x (2a + 3b + 6)
2. 4 x (2a + 3b + 6)
3. x (2a + 3b + 7)(2a + 3b + 5)
4. (x + x) (2a + 3b + 12)
27x³ − 64 is:
1. (3x)³ − 4³
2. 27(x − 64)
3. (27x)³ − 4³
4. 3x³ − 4³
8a³ + b³ can be written as:
1. (2a)³ + b³
2. 2a³ + b³
3. (8a)³ + b³
4. a³ + (2b)³
4x² + 12x + 9 is:
1. (2x + 3)²
2. (2x − 3)²
3. (4x + 3)²
4. (x + 9)²
The HCF of 12x² and 18x³ is:
1. 6x²
2. 6x³
3. 12x²
4. 18x²
The product rule connecting HCF and LCM is:
1. PQ = HCF × LCM
2. P + Q = HCF × LCM
3. PQ = HCF + LCM
4. P − Q = HCF

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

Factorize the following polynomial. $2x^2y^3 - 6x^2y^2 + 2xy^3$
Find the mission factor in the following. $(5x^2 + 12x - 9) = ( ) (x + 3)$
Simplify the following (where the expression in the denominator are non-zero) $\frac{1}{2x - 3y} - \frac{x + y}{4x^2 - 9y^2}$
Factorize the following polynomial. $m^2 - 2m - 15$
Factorize the following polynomial. $x^2 - 6ax + 9a^2 - 16b^2$
Factorize $u ^4 - 13 u^3 + 36$
Factorize the following expression completely. $t^6 - 64$
Factorize the following polynomial. $8 + 6x - 5x^2$

Find the HCF of the following by division method. $2x^3 + 6x^2 + x + 3, 3x^3 + 9x^2 - 2x - 6, x^3 + 3x^2 + 2x + 6$
Find the HCF and LCM of the following expressions. $a(a + c) - b(b + c), b(b + a) - c(c + a), c(c + b) - a(a + b)$
Factorize the following expression completely. $125x^3 - y^3 - 75x^2y + 15xy^2$