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Punjab (PTB) · Half book test (board pattern) · Free

9th Class Mathematics First half Book Paper

75 marks · About 2 hours 40 minutes · 47 questions. Covers: 7 chapters (UNIT 1: Real Number to UNIT 7: Coordinate Geometry).

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9th Class Mathematics First half Book Paper

9th Class · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 75Time: About 2 hours 40 minutes

Q1. Multiple choice questions (Attempt all · 15 × 1 = 15)

  1. A profit of 20% on cost price of Rs. 500 means the selling price is:

    1. Rs 600

    2. Rs 400

    3. Rs 550

    4. Rs 700

  2. Convert  radians to degrees. 

  3. The inequality represents:

    1. A parabola 

    2. A straight line 

    3. A shaded region 

    4. A single point 

  4. Expand:

  5. The square root of  is:

  6. Example of equal set:

    1. {a,b,c}, {1,2,3}

    2. {1,2,3}, {2,1,3}

    3. Both a and b

    4. None of these

  7. A line passing through points (1,2) and (4,5) is:

    1. y = x + 1

    2. y = 2x + 3

    3. y = 3x - 2

    4. y = x + 2

  8. If three consecutive integers sum to 51, the largest number is:

    1. 15

    2. 16

    3. 17

    4. 18

  9. What is the measure of a right angle in radians? 

  10. The intersection of two half-planes is known as: 

    1. A vertex 

    2. A feasible region 

    3. A line 

    4. A parabola 

  11. The scientific notation of 0.000078 is:

  12. The factors of  are:

  13. If A={1,2,3,4,5} and B={4,5,6,7,8,9,10} then, A-B = .......

    1. {4,5}

    2. {1,2,3}

    3. {7,8,9,10}

    4. {4,5,6,7,8,9,10}

  14. The equation of a line with x-intercept 3 and y-intercept 4 is:

  15. Compound interest on Rs 2000 at 10% for 2 years is:

    1. Rs 420

    2. Rs 200

    3. Rs 400

    4. Rs 240

Q2. Short questions (Attempt any 6 of 9 · 6 × 2 = 12)

  1. Find logarithm of the following number:

  2. Is there any set which has no proper subset? if so, name that set.

  3. Insert two rational numbers between:  and 

  4. Express the following in logarithmic form: 

  5. Let , ,  and  List the member of the following set: 

  6. Represent on a number line.

  7. Expand the following using laws of logarithm: 

  8. Write the following set in set builder notation: {1,2,4,5,10,20,25,50,100}

  9. Write various fields of real numbers are use.

Q3. Short questions (Attempt any 6 of 9 · 6 × 2 = 12)

  1. Solve following inequality and represent the solution on a real line:

  2. Find in which quadrant the following angles lie. Write a co-terminal angle for the following:

  3. Factorize:

  4. Solve the following linear inequalities in xy-plane.

  5. Convert the following into decimal degrees:

  6. Factorize the following: 

  7. Shade the solution region for the following linear inequalities in xy-plane:

  8. Convert degree to radian:

  9. Factorize the following: 

Q4. Short questions (Attempt any 6 of 9 · 6 × 2 = 12)

  1. In a landscaping project, the path starts at (2,3) and ends at (10,7). Find the midpoint.

  2. The points and are ends of a diameter of a circle. Find the centre and radius of the circle.

  3. Find an equation of the line through the point P(2,3) which form an isosceles triangle with the coordinates axes in the first quadrant.

  4. Describe the location in the plane of the point , for which:

  5. Find an equation of the line through and perpendicular to a line having slope .

  6. Find the midpoint of the line segment joining the points  and .

  7. Describe the location in the plane of the point , for which:

  8. On a map town A is at coordinates (2,3) and Town B is at, what is the distance between the two towns?

  9. For a line with a gradient of -3 and a y-intercept of 2, write the equation of the line in: Intercepts form.

Q5. Long questions (Attempt any 3 of 5 · 3 × 8 = 24)

  1. Shade the feasible region and find the corner points for the following system of inequalities (or subject to the following constraints): , , , 

  2. Find the values of the following with the help of logarithm table: 

  3. A drone is flying from point (2,3) to point (10,15) on the grid. Calculate the gradient of the line along which the drone is flying and the total distance travelled.

  4. Let, ,  and : Find

  5. Find the square root of the following polynomials by factorization method: