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PUNJAB BOARD CLASS 10 MATH GUESS PAPER 2025

Punjab Board Class 10 Mathematics Guess Paper for Exam 2025 - Download PDF

Punjab Board Class 10 Mathematics Guess Paper for Exam 2025 - Your Key to Success

Preparing for your Punjab Board Class 10 Mathematics Exam 2025? You've come to the right place! Our comprehensive Punjab Board Class 10 Mathematics Guess Paper for Exam 2025 is designed to help you excel in your upcoming exam. This essential resource is tailored to the Punjab Board Class 10 Maths Syllabus 2025, ensuring you focus on the most relevant topics.

Why Our Punjab Board Class 10 Maths Guess Paper is Essential

  • Targeted Preparation: Specifically crafted for the Punjab Board Class 10 Mathematics Exam 2025.
  • Important Questions: Includes a selection of Class 10 Maths Important Questions Punjab Board students need to know.
  • Practice and Revision: Use it as a 10th Maths Practice Paper Punjab Board to reinforce your learning.
  • Familiarize with Exam Pattern: Get a feel for the exam structure with a Punjab Board 10th Maths Sample Paper 2025.

How to Maximize Your Study with Our Guess Paper

  1. Download the PDF: Get your Punjab Board Class 10 Mathematics Guess Paper for Exam 2025 (link below).
  2. Simulate Exam Conditions: Solve the paper in a timed setting to improve your speed and accuracy.
  3. Analyze Your Performance: Identify areas where you need to focus your Punjab Board Class 10 Maths Preparation 2025.
  4. Review and Revise: Use the guess paper to guide your revision of the Punjab Board Class 10 Maths Syllabus 2025.

Download Your Punjab Board Class 10 Mathematics Guess Paper for Exam 2025 Now!

Click here to download your Punjab Board Class 10 Mathematics Guess Paper for Exam 2025 in PDF format: Download Punjab Board Class 10 Maths Guess Paper 2025 (PDF)

Tips for Success in Your Punjab Board 10th Maths Exam

  • Understand the core concepts of the Punjab Board Class 10 Maths Syllabus 2025.
  • Practice regularly with 10th Maths Practice Paper Punjab Board.
  • Solve past years' question papers to understand the exam pattern.
  • Manage your time effectively during the exam.

We wish you the best in your Punjab Board Class 10 Mathematics Exam 2025!

PUNJAB BOARD CLASS 10 MATH GUESS PAPER 2025

Time Allowed: 3 Hours

Maximum Marks: 80

(i) Section A consists of:

(1) Question No. 1 has 16 multiple choice questions of 1 mark each.

(2) Question No. 2 has 7 fill in the blanks of 1 mark each.

(3) Question No. 3 has 7 true/false questions of 1 mark each.

(ii) Section B has questions from 4 to 7 of two marks each.

(iii) Section C has questions from 8 to 13 of four marks each. There is internal choice in any three questions. One question with internal choice will be related to case study.

(iv) Section D has questions from 14 to 16 of six marks each. All these questions have internal choice.

Section A

1. Multiple Choice Questions: [16 x 1 = 16]

(1) What is the fundamental theorem of arithmetic regarding composite numbers?

(a) Every composite number can be expressed as a product of prime numbers.

(b) Every composite number can be expressed as a sum of prime numbers.

(c) Every composite number can be expressed as a difference of prime numbers.

(d) None of these.

(2) A real number 'a' will be a zero of the polynomial f(x) if:

(a) f(a) = 1

(b) f(a) = 0

(c) f(a) > 0

(d) f(a) < 0

(3) The zeros of the quadratic polynomial 4x² - 1 are:

(a) Equal

(b) Unequal with the same sign

(c) Equal in magnitude but opposite in sign

(d) Unequal with opposite signs

(4) If 2x + 3y = 0 and 4x - 3y = 0, then what will be the value of x + y?

(a) 0

(b) -1

(c) 1

(d) 2

(5) If -5 is a root of the quadratic equation 2x² + px - 15 = 0, then:

(a) p = 3

(b) p = 5

(c) p = 7

(d) p = 1

(6) What is the sum of the first n odd natural numbers?

(a) 2n²

(b) 2n + 1

(c) 2n - 1

(d) n²

(7) Similar triangles are:

(a) Congruent

(b) Similar

(c) Equal

(d) None of these

(8) If triangle ABC is right-angled at B, then the value of sin(A + C) will be:

(a) 0

(b) 1

(c) 1/2

(d) None of these

(9) sin²A + _______ = 1

(a) sec²A

(b) cos²A

(c) tan²A

(d) cosec²A

(10) If TP and TQ are two tangents to a circle with center O such that angle POQ = 110°, then what is the value of angle PTQ?

(a) 60°

(b) 70°

(c) 80°

(d) 90°

(11) When the degree measure of the angle formed at the center of a circle is 360°, what will be the area of the sector?

(a) πr²

(b) 2πr²

(c) 3πr²

(d) 4πr²

(12) The radius and height of a cylinder and a cone are equal. What is the ratio of the volumes of the cylinder and the cone?

(a) 1:3

(b) 1:1

(c) 3:1

(d) 2:3

(13) The formula to find the lateral surface area of a cylinder is:

(a) 2πr

(b) 2πrh

(c) πr²h

(d) 2πr(h+r)

(14) The cumulative frequency of a class interval is:</

(15) If the probability of an event happening is p, then what will be the probability of it not happening?

  1. p - 1
  2. p
  3. 1 - p
  4. None of these

  • (16) What will be the probability of an impossible event happening?

    1. 1
    2. -1
    3. 0
    4. 0.5

    • Fill in the Blanks

    1. The sum of two numbers is 45 and their difference is 11, then the numbers are ______.

    2. The first positive term of the A.P. -11, -8, -5, ...... is ______.

    3. "If a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the other two sides in the same ratio." This theorem is called ______.

    4. The distance of a point P (x, y) from the origin is ______.

    5. The ratio of the circumference of a circle to its diameter is ______.

    6. The volume of a hemisphere is ______.

    7. The probability of getting an even number when a die is thrown once is ______.

    True or False

    1. Every composite number can be expressed as a product of primes.

    2. If two lines are intersecting, then the pair of lines is consistent.

    3. The roots of every quadratic equation are rational numbers.

    4. The coordinates of the point which divides the line segment joining the points (3, 4) and (5, 6) internally in the ratio 1:1 are (4, 5).

    5. The value of tan A is always less than 1.

    6. Two tangents can be drawn to a circle from an interior point of the circle.

    7. The class interval with the least frequency is called the modal class.

    Part-A

    2-2 Marks Questions: [4x2=8]

    1. Find the HCF (Highest Common Factor) of 336 and 54.
    2. Find a quadratic polynomial with the sum and product of its zeroes as -3 and 2, respectively.
    3. A horse is tied to a peg at one corner of a square-shaped grass field of side 15m by means of a 5m long rope. Find the area of that part of the field in which the horse can graze.
    4. A group of 20 bulbs contains 4 defective bulbs. One bulb is drawn at random from the group. What is the probability that this bulb is defective?

    Part-B

    4-4 Marks Questions: [6x4=24]

    1. Find two consecutive positive odd integers, the sum of whose squares is 365.

      OR

      Find the discriminant of the equation \(3x^2 - 2x + \frac{1}{3} = 0\) and hence find the nature of its roots. Find them if they are real.
    2. Find the sum of the first 15 multiples of 8.
    3. Find the coordinates of the point which divides the line segment joining the points (-1, 7) and (4, -3) in the ratio 2:3.
    4. If tan A = 4/3, find the other trigonometric ratios.

      OR

      Prove that: (1 + tan2 A) / (1 + cot2 A) = tan2 A
    5. From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60 degrees and the angle of depression of its foot is 45 degrees. Determine the height of the tower.

      OR

      From a point P on the ground, the angle of elevation of the top of a 10 m tall building is 30 degrees. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45 degrees. Find the length of the flagstaff and the distance of the building from the point P.
    6. A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.
    Part - C
    Six-Mark Questions: 3×6=18
    14. If 2 is added to both the numerator and the denominator of a fraction, it becomes 9/11. If 3 is added to both the numerator and the denominator, it becomes 5/6. Find the fraction.

    OR

    Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?
    15. Prove that if a line is drawn parallel to one side of a triangle to intersect the other two sides at distinct points, the other two sides are divided in the same ratio.

    OR

    Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.

    16. The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is ₹ 18. Find the missing frequency f.

    Daily Pocket Allowance (in ₹) 11-13 13-15 15-17 17-19 19-21 21-23 23-25
    Number of Children 7 6 9 13 f 5 4

    OR

    If the median of the distribution given below is 525, find the values of x and y, if the total frequency is 100.

    Class Interval Frequency
    0 - 100 2
    100 - 200 5
    200 - 300 x
    300 - 400 12
    400 - 500 17
    500 - 600 20
    600 - 700 y
    700 - 800 9
    800 - 900 7
    900 - 1000 4

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