Board Pattern Paper Preview

Practice Paper Online Back to Papers
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.
Sample Paper by PECTA
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)
25% of 60 is:
\(15\)
\(35\)
\(20\)
\(25\)
(ii)
The LCM of \(16x^2\), \(4x\) and \(30xy\) is:
\(480x^3y\)
\(400xy\)
\(240x^2y\)
\(120x^4y\)
(iii)
Evaluate\((27)2\).
\(28\)
\(98\)
\(4\sqrt{7}\)
\(18\)
(iv)
A function that is to be maximized or minimized is called:
solution function
objective function
feasible function
none of these
(v)
Which of the following can tessellate without gaps and overlaps?
Question Image
Regular pentagon
Regular octagon
Regular hexagon
Regular decagon
(vi)
Find the mode of the given data: \(2, 5, 8, 9, 0, 1, 3, 7\) and \(10\)
\(5\)
\(7\)
\(0\)
no mode
(vii)
\(\sin 60^\circ =\) ______
\(\frac{\sqrt{3}}{2}\)
\(\sqrt{(3)^2}\)
\(\frac{1}{2}\)
\(1\)
(viii)
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:
\(10 \text{ cm}\)
\(12 \text{ cm}\)
\(18 \text{ cm}\)
\(16 \text{ cm}\)
(ix)
If x = 0 then point P(x, y) lies on:
x-axis
y-axis
origin
z-axis
(x)
The statement "The sum of the interior angle of a triangle is \(180^\circ\)" is:
converse
theorem
axiom
conditional
(xi)
If g(x) = x² − 3 then g(4) =
\(13\)
\(11\)
\(10\)
\(9\)
(xii)
The number of times a value occurs in a data is called:
event
frequency
sample space
experiment
(xiii)
If the volume of two similar solids is \(125\,cm^2\) and \(27\,cm^2\), the ratio of their corresponding heights is:
\(9:25\)
\(25:9\)
\(5:3\)
\(3:5\)
(xiv)
\(\log_4 64 = 3\) in exponential form is:
\(3^4 = 64\)
\(4^3 = 64\)
\(64^4 = 3\)
\(64^3 = 4\)
(xv)
What is the symbol of "less than"?
\(<\)
\(>\)
\(=\)
\(\neq\)
(i)
25% of 60 is:
(a) \(15\) (b) \(35\) (c) \(20\) (d) \(25\)
(ii)
The LCM of \(16x^2\), \(4x\) and \(30xy\) is:
(a) \(480x^3y\) (b) \(400xy\) (c) \(240x^2y\) (d) \(120x^4y\)
(iii)
Evaluate\((27)2\).
(a) \(28\) (b) \(98\) (c) \(4\sqrt{7}\) (d) \(18\)
(iv)
A function that is to be maximized or minimized is called:
(a) solution function (b) objective function (c) feasible function (d) none of these
(v)
Which of the following can tessellate without gaps and overlaps?
Question Image
(a) Regular pentagon (b) Regular octagon (c) Regular hexagon (d) Regular decagon
(vi)
Find the mode of the given data: \(2, 5, 8, 9, 0, 1, 3, 7\) and \(10\)
(a) \(5\) (b) \(7\) (c) \(0\) (d) no mode
(vii)
\(\sin 60^\circ =\) ______
(a) \(\frac{\sqrt{3}}{2}\) (b) \(\sqrt{(3)^2}\) (c) \(\frac{1}{2}\) (d) \(1\)
(viii)
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) \(16 \text{ cm}\)
(ix)
If x = 0 then point P(x, y) lies on:
(a) x-axis (b) y-axis (c) origin (d) z-axis
(x)
The statement "The sum of the interior angle of a triangle is \(180^\circ\)" is:
(a) converse (b) theorem (c) axiom (d) conditional
(xi)
If g(x) = x² − 3 then g(4) =
(a) \(13\) (b) \(11\) (c) \(10\) (d) \(9\)
(xii)
The number of times a value occurs in a data is called:
(a) event (b) frequency (c) sample space (d) experiment
(xiii)
If the volume of two similar solids is \(125\,cm^2\) and \(27\,cm^2\), the ratio of their corresponding heights is:
(a) \(9:25\) (b) \(25:9\) (c) \(5:3\) (d) \(3:5\)
(xiv)
\(\log_4 64 = 3\) in exponential form is:
(a) \(3^4 = 64\) (b) \(4^3 = 64\) (c) \(64^4 = 3\) (d) \(64^3 = 4\)
(xv)
What is the symbol of "less than"?
(a) \(<\) (b) \(>\) (c) \(=\) (d) \(\neq\)
Subjective Type (Part-I) / حصہ انشائیہ
Q. 2: Write short answers to any 6 questions. (2x6=12)
Max. Marks: 12
  1. (i)
    Define monomial and binomial surd.
    lines
  2. (ii)
    Define sample space.
    lines
  3. (iii)
    State trichotomy property of real numbers.
    lines
  4. (iv)
    Express the number \( 73 \times 10^3 \) in proper scientific notation:
    lines
  5. (v)
    Following are the heights (in inches) of 12 students: 55, 53, 54, 58, 60, 61, 62, 56, 57, 52, 51, 63. Find the median height.
    lines
  6. (vi)
    Is 0 a rational number? Explain.
    lines
  7. (vii)
    Find the characteristic of the number \( 0.000049 \).
    lines
  8. (viii)
    Write the uses of real numbers in daily life.
    lines
  9. (ix)
    Express \(8.04\times10^3\) in ordinary notation.
    lines
Q. 3: Write short answers to any 6 questions. (2x6=12)
Max. Marks: 12
  1. (i)
    Find the logarithm of the number \( 579 \).
    lines
  2. (ii)
    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
  3. (iii)
    Find \( A \cap B \) for the sets \( A = \{6, 12, 18, 24, 30\} \) and \( B = \{8, 16, 24\} \).
    lines
  4. (iv)
    Express the number 0.00000009 in scientific notation:
    lines
  5. (v)
    Find H.C.F. of \(x^3-1\) and \(x^2+x+1\).
    lines
  6. (vi)
    Verify the commutative properties of union and intersection for sets \( A = \{x | x \in R \wedge x \ge 0\} \) and \( B = R \).
    lines
  7. (vii)
    Express the number 48900 in scientific notation:
    lines
  8. (viii)
    Fine the unknown value from the figures.
    A₁ = 60 cm² 15 cm
    A₂ = ? 20 cm
    lines
Q. 4: Write short answers to any 6 questions. (2x6=12)
Max. Marks: 12
  1. (i)
    Find the logarithm of the number \( 0.047 \).
    lines
  2. (ii)
    The diameter of Mars is \( 6.779 \times 10^3 \) km. Express this number in standard form.
    lines
  3. (iii)
    Find the slope of the line joining the points (3, -2) and (2, 7).
    lines
  4. (iv)
    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 \( A \) in tabular form.
    lines
  5. (v)
    Define non-terminating and recurring decimal numbers.
    lines
  6. (vi)
    Define ordinate of a point.
    lines
  7. (vii)
    Define Terminating decimal numbers.
    lines
  8. (viii)
    Express \( 5.5 \times 10^{-6} \) in ordinary notation:
    lines
Subjective Parts (Part-II) / حصہ انشائیہ
Note: Attempt any 2 questions. (8x2=16 marks)
  1. Q. 5
    1. (i) Given that \( \log 3.177 = 0.5019 \), find the value of \( \log 31.77 \).
      lines
    2. (ii) If \(\sin\theta=\frac{2}{3}\) and \(\theta\) lies in the first quadrant, find the remaining trigonometric ratios of \(\theta\).
      lines
  2. Q. 6
    1. (i) Two similar bottles are such that one is twice as high as the other. What is the ratio of their capacities?
      lines
    2. (ii) In a class of 55 students, 34 like to play cricket and 30 like to play hockey. Also each student likes to play at least one of the two games. How many students like to play both games?
      lines
  3. Q. 7
    1. (i) In a training session, 17 participants have laptops, 11 have tablets, 9 have laptops and tablets, 6 have laptops and books, and 4 have both tablets and books. Eight participants have all three items. The total number of participants with laptops, tablets, or books is 35. How many participants have books?
      lines
    2. (ii) In sports events, 19 people wear blue shirts, 15 wear green shirts, 3 wear blue and green shirts, 4 wear a cap and blue shirts, and 2 wear a cap and green shirts. The total number of people with either a blue or green shirt or cap is 34. How many people are wearing caps?
      lines
Subjective Parts (Part-IٰII) / حصہ انشائیہ
Note: Attempt any 1 questions. (8x1=8 marks)
  1. Q. 8
    1. (i) 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