Board Pattern Paper Preview

Back to Papers Practice Paper Online
Paper Controls
Preview & keys
Short questions (default):
Long questions (default):
Print / PDF tip: In the browser Print or Save as PDF dialog, select your standard board paper size (usually A4) and set margins to None (or the smallest available). You can still switch to Legal from the controls above if you need more space.
GHSS Lodhran
Mathematics - Class 9
Student Name
Roll Number
Section
Time Allowed
2 hours
Total Marks
75
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
11.
A B C D
12.
A B C D
13.
A B C D
14.
A B C D
15.
A B C D
MAXIMUM MARKS: 15 OBJECTIVE
حصہ معروضی 		15 = 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)
In probability, an outcome is:
Question Image
A type of result
A whole event
A sample space
Always an error
(ii)
The solution region restricted to the first quadrant is called:
objective region
feasible region
solution region
constraints region
(iii)
The line segment joining the midpoint of a side to its opposite vertex in a triangle is called _______.
median
perpendicular bisector
angle bisector
circle
(iv)
The conjunction of two statements \(p\) and \(q\) is true when:
both \(p\) and \(q\) are false.
both \(p\) and \(q\) are true.
only \(q\) is true.
only \(p\) is true
(v)
If the volume of two similar solids is \(125\text{ cm}^3\) and \(27\text{ cm}^3\), the ratio of their corresponding heights is:
3:5
5:3
25:9
9:25
(vi)
Ordinary notation of \(2.34 \times 10^6\) is:
\(234000\)
\(2340000\)
\(23400000\)
\(23400\)
(vii)
If \(n(A \cup B) = 50\), \(n(A) = 30\) and \(n(B) = 35\), then \(n(A \cap B)\) is:
\(23\)
\(15\)
\(9\)
\(40\)
(viii)
The system of linear inequalities involved in the problem concerned is called:
Problem constraints
Equation
Problem solving
Problem creation
(ix)
In ax + b = 0, what does 'a' represent?
The constant term
The solution of equation
The coefficient of the variable
The power of the variable
(x)
The midpoint longitude between points A (50°E) and B (60°E) is:
50°E
60°E
11°E
55°E
(xi)
The graph of a ______ function is a curve that can have at most two turning points.
parabolic
hyperbolic
cubic
quadratic
(xii)
\(\log 10,000 =\)
2
3
4
5
(xiii)
Evaluate \(\csc^2\theta - \cot^2\theta\).
\(0\)
\(1\)
\(2\)
\(\tan^2\theta\)
(xiv)
The statement "A straight line can be drawn between any two points" is:
theorem
conjecture
axiom
logic
(xv)
A parallelogram has an area of \(64 \text{ cm}^2\) and a similar parallelogram has an area of \(144 \text{ cm}^2\). If a side of the smaller parallelogram is \(8 \text{ cm}\), the corresponding side of the larger parallelogram is:
\(10 \text{ cm}\)
\(12 \text{ cm}\)
\(18 \text{ cm}\)
\(16 \text{ cm}\)
(i)
In probability, an outcome is:
Question Image
(a) A type of result (b) A whole event (c) A sample space (d) Always an error
(ii)
The solution region restricted to the first quadrant is called:
(a) objective region (b) feasible region (c) solution region (d) constraints region
(iii)
The line segment joining the midpoint of a side to its opposite vertex in a triangle is called _______.
(a) median (b) perpendicular bisector (c) angle bisector (d) circle
(iv)
The conjunction of two statements \(p\) and \(q\) is true when:
(a) both \(p\) and \(q\) are false. (b) both \(p\) and \(q\) are true. (c) only \(q\) is true. (d) only \(p\) is true
(v)
If the volume of two similar solids is \(125\text{ cm}^3\) and \(27\text{ cm}^3\), the ratio of their corresponding heights is:
(a) 3:5 (b) 5:3 (c) 25:9 (d) 9:25
(vi)
Ordinary notation of \(2.34 \times 10^6\) is:
(a) \(234000\) (b) \(2340000\) (c) \(23400000\) (d) \(23400\)
(vii)
If \(n(A \cup B) = 50\), \(n(A) = 30\) and \(n(B) = 35\), then \(n(A \cap B)\) is:
(a) \(23\) (b) \(15\) (c) \(9\) (d) \(40\)
(viii)
The system of linear inequalities involved in the problem concerned is called:
(a) Problem constraints (b) Equation (c) Problem solving (d) Problem creation
(ix)
In ax + b = 0, what does 'a' represent?
(a) The constant term (b) The solution of equation (c) The coefficient of the variable (d) The power of the variable
(x)
The midpoint longitude between points A (50°E) and B (60°E) is:
(a) 50°E (b) 60°E (c) 11°E (d) 55°E
(xi)
The graph of a ______ function is a curve that can have at most two turning points.
(a) parabolic (b) hyperbolic (c) cubic (d) quadratic
(xii)
\(\log 10,000 =\)
(a) 2 (b) 3 (c) 4 (d) 5
(xiii)
Evaluate \(\csc^2\theta - \cot^2\theta\).
(a) \(0\) (b) \(1\) (c) \(2\) (d) \(\tan^2\theta\)
(xiv)
The statement "A straight line can be drawn between any two points" is:
(a) theorem (b) conjecture (c) axiom (d) logic
(xv)
A parallelogram has an area of \(64 \text{ cm}^2\) and a similar parallelogram has an area of \(144 \text{ cm}^2\). If a side of the smaller parallelogram is \(8 \text{ cm}\), the corresponding side of the larger parallelogram is:
(a) \(10 \text{ cm}\) (b) \(12 \text{ cm}\) (c) \(18 \text{ cm}\) (d) \(16 \text{ cm}\)
Subjective Type (Part-I) / حصہ انشائیہ
Q. 2: Write short answers to any 6 questions. (2x6=12)
Max. Marks: 12
  1. (i)
    Simplify \( \left(\frac{3}{4}\right)^{-2} \div \left(\frac{4}{9}\right)^{3} \times \frac{16}{27} \).
    lines
  2. (ii)
    Write the profit and profit% formula.
    lines
  3. (iii)
    Convert 315° to radians.
    lines
  4. (iv)
    The speed of light is approximately \( 3 \times 10^8 \) metres per second. Express it in standard form.
    lines
  5. (v)
    Express \( 4 \times 10^{-5} \) in ordinary notation:
    lines
  6. (vi)
    Salma invested Rs. 3,50,000 in a bank, which paid simple profit at the rate of \( 7\frac{1}{4}\% \) per annum. After 2 years, the rate was increased to 8% per annum. Find the amount she had at the end of 7 years.
    lines
  7. (vii)
    Consider the universal set \( U = \{x | x \text{ is multiple of 2 and } 0 < x \leq 30\} \), \( A = \{x | x \text{ is a multiple of 6}\} \) and \( B = \{x | x \text{ is a multiple of 8}\} \). List all elements of set \( B \) in tabular form.
    lines
  8. (viii)
    The circumference of the Earth at the equator is about 40075000 metres. Express this number in scientific notation.
    lines
  9. (ix)
    Rationalize the denominator: \( \frac{\sqrt{2} - 1}{\sqrt{5}} \)
    lines
Q. 3: Write short answers to any 6 questions. (2x6=12)
Max. Marks: 12
  1. (i)
    Find the characteristic of the number \( 0.0567 \).
    lines
  2. (ii)
    Simplify: \( \sqrt[3]{(27)^{2x}} \)
    lines
  3. (iii)
    Plot the graph of the function \( y = 5^{-x} \).
    lines
  4. (iv)
    Find the characteristic of the number \( 5287 \).
    lines
  5. (v)
    Find two rational numbers between 2 and 3.
    lines
  6. (vi)
    Sketch the graph of \( y = 2x - 1 \).
    lines
  7. (vii)
    Simplify: \( \sqrt[5]{\frac{x^{15}y^{35}}{z^{20}}} \)
    lines
  8. (viii)
    Find characteristic of 0.000049.
    lines
  9. (ix)
    Construct a triangle BCD in which measures of two sides are 5.5 cm and 4.2 cm and measure of their included angle is 60°.
    lines
Q. 4: Write short answers to any 6 questions. (2x6=12)
Max. Marks: 12
  1. (i)
    Let \( U = \{x | x \text{ is an integer and } 0 < x \leq 150\} \). List all elements of set \( H = \{x | x \text{ is a square}\} \) in tabular form.
    lines
  2. (ii)
    The diameter of Mars is \( 6.779 \times 10^3 \) km. Express this number in standard form.
    lines
  3. (iii)
    Simplify: \( \frac{6(3)^{n+2}}{3^{n+1} - 3^n} \)
    lines
  4. (iv)
    Find two rational numbers between 4 and 5.
    lines
  5. (v)
    Define logarithm.
    lines
  6. (vi)
    Find the logarithm of the number \( 0.000354 \).
    lines
  7. (vii)
    Define mantissa in logarithm.
    lines
  8. (viii)
    Express the number \( 0.65 \times 10^2 \) in proper scientific notation:
    lines
  9. (ix)
    Define scientific notation.
    lines
Subjective Parts (Part-II) / حصہ انشائیہ
Note: Attempt any 2 questions. (8x2=16 marks)
  1. Q. 5
    1. (i) \( \left( \frac{3}{4} \right)^{-2} \div \left( \frac{4}{9} \right)^3 \times \frac{16}{27} \)
      lines
    2. (ii) Prove that \((tan⁡θ+cot⁡θ)2=sec2⁡θcsc2⁡θ\).
      Question Image
      lines
  2. Q. 6
    1. (i) Given that \( \log 3.177 = 0.5019 \), find the value of \( \log 3177 \).
      lines
    2. (ii) The frequency of defective products in 750 samples is shown in the following table. Find the relative frequency for the given table.

      No. of defectives per sample012345678
      No. of samples120140948510550406650
      lines
  3. Q. 7
    1. (i) Find the value of x: log⁡x=−2.0184
      Question Image
      lines
    2. (ii) Let \( U = \{a, b, c, d, e, f, g, h, i, j\} \), \( A = \{a, b, c, d, g, h\} \), and \( B = \{c, d, e, f, j\} \). Verify De Morgan's Law: \( (A \cup B)' = A' \cap B' \).
      lines
Subjective Parts (Part-IٰII) / حصہ انشائیہ
Note: Attempt any 1 questions. (8x1=8 marks)
  1. Q. 8
    1. (i) \( \frac{(25)^{3/2} \times (243)^{3/5}}{(16)^{5/4} \times (8)^{4/3}} \)
      lines
    2. (ii) \( (a^{1/3} + b^{1/3}) \times (a^{2/3} - a^{1/3}b^{1/3} + b^{2/3}) \)
      lines
  2. Q. 9
    1. (i) Indicate the solution region of the following linear inequalities by shading: \( 2x - 3y \le 6 \); \( 2x + 3y \le 12 \);
      Question Image
      lines
    2. (ii) Find the value of \( x \) if \( \log x = 1.192 \).
      lines