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Punjab (PTB) · Quarter book test · Free

9th Class Mathematics 2nd Quarter Book Paper

40 marks · 1 hour · 28 questions. Covers: 4 chapters (UNIT 5: Linear Equations and Inequalities to UNIT 8: Logic).

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9th Class Mathematics 2nd Quarter Book Paper

9th Class · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 40Time: 1 hour

Q1. Multiple choice questions (Attempt all · 12 × 1 = 12)

  1. The circumference of a circle with radius r is:

    4. None of these

  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. 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

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

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

    1. A vertex 

    2. A feasible region 

    3. A line 

    4. A parabola 

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

  9. The statement " A straight line can be drawn between any two points" is:

    1. Theorem

    2. Conjecture

    3. Axiom

    4. Logic

  10. The value of in radians:

    4. 1.11

  11. A vertical line divided the plane into:

    1. Two half-planes 

    2. Four quadrants 

    3. Three sections 

    4. Infinite parts 

  12. The mid point of a journey from to is:

Q2. Short questions (Attempt any 8 of 12 · 8 × 2 = 16)

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

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

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

  4. Formulate simple deductive proof's of the following algebraic expression, prove that L.H.S is equal to the R.H.S.

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

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

  7. Convert the following into decimal degrees:

  8. Define tautology.

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

  10. 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.

  11. Convert degree to radian:

  12. The sum of the interior angles of a triangle is 180o.

Q3. Long questions (Attempt any 3 of 4 · 3 × 4 = 12)

  1. Find the unknown side and angles of the following triangle.

  2. 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.

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

  4. Prove the following statement: If x is an even integer then show that is even.