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

10th Class Mathematics First half Book Paper

75 marks · About 2 hours 40 minutes · 47 questions. Covers: 6 chapters (UNIT 1: COMPLEX NUMBERS to UNIT 6: VECTORS IN PLANE).

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10th Class Mathematics First half Book Paper

10th 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 quadratic equation is a polynomial equation of degree:

    1. One

    2. Two

    3. Three

    4. Zero

  2. If , then  is:

  3. What is the type of the matrix :

    1. Row

    2. Scalar

    3. Null

    4. Rectangular

  4. If , what is the valu of g(5)?

    1. 45

    2. 25

    3. 75

    4. 100

  5. The additive inverse of  is:

    4. (-2+7i)

  6. What is the simplified form of:

    1. 4x(a+y)

    2. 4x(a-b)

  7. For object moving in a straight line S=......:

    3. 2as

  8. If , then  and  are in opposite direction if:

  9. Which of these is a  matrix?

    1. [1 2]

  10. Which is the correct ordered pair for the graph of :

    1. (-4,9)

    2. (4,-9)

    3. (3,8)

    4. (-1,-6)

  11. Conjugant of  is:

  12. The lowest form of:

    2. -1

  13. The zero product property states that a,b  R and ab=0 than:

    1. Boh a and b must be zero

    2. Either a=0 or b=0

    3. a must be equal to b

    4. a+b must be zero

  14. A vector having magnitude zero is:

    1. Unit vector

    2. Null vector

    3. Negative vector

    4. Position vector

  15. Which of the following is a singular matrix?

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

  1. Under what condition are two complex number equal?

  2. If , then make x the subject of this equation.

  3. Simplify and write in the form of a+b: 

  4. Examine the nature of roots of the following quadratic equation: 

  5. If  and , then verify that: 

  6. Find the points of intersection of the following linear equation with coordinate axes graphically: 

  7. Simplify: 

  8. Solve the following quadratic equation by factorization method: 

  9. If , then prove that 

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

  1. Find the additive inverse of the following matrix: 

  2. Define an absolute value function.

  3. Is the following matric is diagonal, scalar or unit matrice. 

  4. If , then find: .

  5. Is the following matric is unit matric, row matrices, column matrices or null matrices. 

  6. Solve and express the solution on number line: 

  7. If  and  then find the following: 4X - Z

  8. If , then find: .

  9. If  then find: AB, if possible.

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

  1. Simplify: 

  2. If and , then find the following vector: 

  3. Reduce the following rational expression to lowest forms: 

  4. If  and , then find: (equation)

  5. Simplify: 

  6. Plot the following points on the coordinate plane: D(-2,-4)

  7. Simplify: 

  8. Name the tail and tip of the following vector:

  9. Define exponential equation.

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

  1. If  are the roots of the equation , then find the equation whose roots are: 

  2. Solve the following equation: 

  3. Verify that : 

  4. Solve the given simultaneous linear equations with complex coefficients for z and w: 

  5. Find two numbers by using matrices such that twice the first added to the second makes 21 and twice the second added to the first makes 27.