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Lahore School System
Mathematics - Class 9
Student Name
Roll Number
Section
Time Allowed
2 hours
Total Marks
50
Chapters
Date
Examiner Signature
Bubble Sheet for Q.No.1 (MCQs)
Fill the correct option bubble for each question number.
1.
A
B
C
D
2.
A
B
C
D
3.
A
B
C
D
4.
A
B
C
D
5.
A
B
C
D
6.
A
B
C
D
7.
A
B
C
D
8.
A
B
C
D
9.
A
B
C
D
10.
A
B
C
D
| MAXIMUM MARKS: 10 |
OBJECTIVE حصہ معروضی |
10 × 1 = 10 کل نمبر |
سوال نمبر
Q.No.1
|
|
For each objective question four options (A–D) are given. Fill the bubble of the correct option against the question number on the bubble sheet.
|
|||
| Sr. No. | Questions | A | B | C | D |
|---|---|---|---|---|---|
|
(i)
|
\(\sqrt{7}\) is:
|
integer
|
rational number
|
irrational number
|
natural number
|
|
(ii)
|
\(\pi\) and \(e\) are:
|
natural numbers
|
integers
|
rational numbers
|
irrational numbers
|
|
(iii)
|
If \(n\) is not a perfect square, then \(\sqrt{n}\) is:
|
rational number
|
natural number
|
integer
|
irrational number
|
|
(iv)
|
\(\sqrt{3} + \sqrt{5}\) is:
|
whole number
|
integer
|
rational number
|
irrational number
|
|
(v)
|
For all \(x \in R, x = x\) is called:
|
reflexive property
|
transitive number
|
symmetric property
|
trichotomy property
|
|
(vi)
|
Let \(a, b, c \in R\), then \(a > b\) and \(b > c \Rightarrow a > c\) is called ________ property.
|
trichotomy
|
transitive
|
additive
|
multiplicative
|
|
(vii)
|
\(2^x \times 8^x = 64\) then \(x =\)
|
\(\frac{3}{2}\)
|
\(\frac{3}{4}\)
|
\(\frac{5}{6}\)
|
\(\frac{2}{3}\)
|
|
(viii)
|
Let \(a, b \in R\), then \(a = b\) and \(b = a\) is called ________ property.
|
reflexive
|
symmetric
|
transitive
|
additive
|
|
(ix)
|
\(\sqrt{75} + \sqrt{27} =\)
|
\(\sqrt{102}\)
|
\(9\sqrt{3}\)
|
\(5\sqrt{3}\)
|
\(8\sqrt{3}\)
|
|
(x)
|
The product of \((3 + \sqrt{5})(3 - \sqrt{5})\) is:
|
prime number
|
odd number
|
irrational number
|
rational number
|
(i)
\(\sqrt{7}\) is:
(a)
integer
(b)
rational number
(c)
irrational number
(d)
natural number
(ii)
\(\pi\) and \(e\) are:
(a)
natural numbers
(b)
integers
(c)
rational numbers
(d)
irrational numbers
(iii)
If \(n\) is not a perfect square, then \(\sqrt{n}\) is:
(a)
rational number
(b)
natural number
(c)
integer
(d)
irrational number
(iv)
\(\sqrt{3} + \sqrt{5}\) is:
(a)
whole number
(b)
integer
(c)
rational number
(d)
irrational number
(v)
For all \(x \in R, x = x\) is called:
(a)
reflexive property
(b)
transitive number
(c)
symmetric property
(d)
trichotomy property
(vi)
Let \(a, b, c \in R\), then \(a > b\) and \(b > c \Rightarrow a > c\) is called ________ property.
(a)
trichotomy
(b)
transitive
(c)
additive
(d)
multiplicative
(vii)
\(2^x \times 8^x = 64\) then \(x =\)
(a)
\(\frac{3}{2}\)
(b)
\(\frac{3}{4}\)
(c)
\(\frac{5}{6}\)
(d)
\(\frac{2}{3}\)
(viii)
Let \(a, b \in R\), then \(a = b\) and \(b = a\) is called ________ property.
(a)
reflexive
(b)
symmetric
(c)
transitive
(d)
additive
(ix)
\(\sqrt{75} + \sqrt{27} =\)
(a)
\(\sqrt{102}\)
(b)
\(9\sqrt{3}\)
(c)
\(5\sqrt{3}\)
(d)
\(8\sqrt{3}\)
(x)
The product of \((3 + \sqrt{5})(3 - \sqrt{5})\) is:
(a)
prime number
(b)
odd number
(c)
irrational number
(d)
rational number
Subjective Type (Part-I)
/ حصہ انشائیہ
Q. 2: Write short answers to any 5 questions. (2x5=10)
Max. Marks: 10
-
(i)Identify each of the following as rational or irrational: \(e\)lines
-
(ii)Define monomial and binomial surd.lines
-
(iii)Rationalize the denominator: \(\frac{6 - 4\sqrt{2}}{6 + 4\sqrt{2}}\)lines
-
(iv)Simplify: \(\left(\frac{3}{4}\right)^{-2} \div \left(\frac{4}{9}\right)^3 \times \frac{16}{27}\)lines
-
(v)If \(x = 3 + \sqrt{8}\), find \(x^4 + \frac{1}{x^4}\)lines
Q. 3: Write short answers to any 4 questions. (2x4=8)
Max. Marks: 8
-
(i)Simplify: \( \sqrt[5]{\frac{x^{15}y^{35}}{z^{20}}} \)lines
-
(ii)If \( a = \frac{4}{3}, b = \frac{5}{2}, c = \frac{7}{4} \), then verify the associative property of real numbers w.r.t addition and multiplication.lines
-
(iii)Abdullah picked up 96 balls and placed them into two buckets. One bucket has twenty-eight more balls than the other bucket. How many balls were in each bucket?lines
-
(iv)Simplify: \( \frac{6(3)^{n+2}}{3^{n+1} - 3^n} \)lines
Section-II: Attempt any 2 questions. (10x2=20 marks)
-
Q. 4
-
(i)
Simplify: \(\sqrt[7]{\frac{x^{14} \times y^{21} \times z^{35}}{y^{14} z^7}}\)
lines
-
(ii)
Simplify: \(\sqrt{\frac{(216)^{\frac{2}{3}} \times (25)^{\frac{1}{2}}}{(0.04)^{-\frac{3}{2}}}}\)
lines
-
(i)
Simplify: \(\sqrt[7]{\frac{x^{14} \times y^{21} \times z^{35}}{y^{14} z^7}}\)
-
Q. 5
-
(i)
Simplify: \(\frac{(25)^{\frac{3}{2}} \times (243)^{\frac{3}{5}}}{(16)^{\frac{5}{4}} \times (8)^{\frac{4}{3}}}\)
lines
-
(ii)
Simplify: \(\frac{54 \times \sqrt[3]{(27)^{2x}}}{9^{x+1} + 216(3^{2x-1})}\)
lines
-
(i)
Simplify: \(\frac{(25)^{\frac{3}{2}} \times (243)^{\frac{3}{5}}}{(16)^{\frac{5}{4}} \times (8)^{\frac{4}{3}}}\)
-
Q. 6
-
(i)
If \(\frac{8 - 3\sqrt{2}}{4 + 3\sqrt{2}} = p + q\sqrt{2}\), find the rational numbers \(p\) and \(q\).
lines
-
(i)
If \(\frac{8 - 3\sqrt{2}}{4 + 3\sqrt{2}} = p + q\sqrt{2}\), find the rational numbers \(p\) and \(q\).
Change question
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