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MCQ TEST PAPER (80 QUESTIONS) Maths

📘 MCQ TEST PAPER (80 QUESTIONS)


🔷 SECTION A: NUMBER SYSTEM (Q1–40)

  1. Natural numbers are:
    a) 0,1,2,…
    b) 1,2,3,…
    c) -1,0,1
    d) All integers
  2. Whole numbers include:
    a) 1,2,3
    b) 0,1,2,3
    c) -1,0,1
    d) None
  3. Integers are:
    a) Positive only
    b) Negative only
    c) Positive, negative and zero
    d) Only whole numbers
  4. Rational numbers are of the form:
    a) p/q (q≠0)
    b) √p
    c) π
    d) None
  5. Which of the following is irrational?
    a) 1/2
    b) 0.75
    c) √2
    d) 4
  6. Decimal expansion of 3/5 is:
    a) 0.6
    b) 0.3
    c) 0.5
    d) 1
  7. 1/3 is:
    a) Terminating decimal
    b) Non-terminating repeating decimal
    c) Irrational
    d) Integer
  8. √5 is:
    a) Rational
    b) Irrational
    c) Integer
    d) Whole
  9. π is:
    a) Rational
    b) Irrational
    c) Integer
    d) Whole
  10. Which is a terminating decimal?
    a) 2/3
    b) 5/8
    c) 1/7
    d) √3

  1. 0.666… is:
    a) Irrational
    b) Rational
    c) Integer
    d) Whole
  2. √9 =
    a) 2
    b) 3
    c) 4
    d) 5
  3. √16 =
    a) 4
    b) 5
    c) 3
    d) 2
  4. Which is irrational?
    a) 0.25
    b) √7
    c) 1/4
    d) 2
  5. 0.1010010001… is:
    a) Rational
    b) Irrational
    c) Integer
    d) Whole

Laws of Exponents

  1. a⁰ =
    a) 0
    b) 1
    c) a
    d) -1
  2. a¹ =
    a) a
    b) 1
    c) 0
    d) None
  3. aᵐ × aⁿ =
    a) aᵐ⁺ⁿ
    b) aᵐ⁻ⁿ
    c) aᵐⁿ
    d) None
  4. (aᵐ)ⁿ =
    a) aᵐⁿ
    b) aᵐ⁺ⁿ
    c) aᵐ⁻ⁿ
    d) None
  5. aᵐ / aⁿ =
    a) aᵐ⁻ⁿ
    b) aᵐ⁺ⁿ
    c) aᵐⁿ
    d) None

Rationalisation

  1. Rationalize 1/√2:
    a) √2/2
    b) 1/2
    c) √2
    d) None
  2. Rationalize 1/(√3+1):
    a) (√3−1)/2
    b) √3+1
    c) √3−1
    d) None

Mixed Questions

  1. √4 =
    a) 2
    b) -2
    c) ±2
    d) 4
  2. Which is rational?
    a) √3
    b) 0.125
    c) π
    d) √2
  3. Which is irrational?
    a) 3/4
    b) 0.5
    c) √11
    d) 1
  4. Product of two rational numbers is:
    a) Rational
    b) Irrational
    c) Integer
    d) None
  5. Sum of two irrational numbers can be:
    a) Always irrational
    b) Always rational
    c) Either rational or irrational
    d) None
  6. 2√3 is:
    a) Rational
    b) Irrational
    c) Integer
    d) Whole
  7. √25 =
    a) 5
    b) -5
    c) ±5
    d) 25
  8. Which is NOT rational?
    a) 5
    b) 2/3
    c) √2
    d) 0

  1. 0 is:
    a) Natural
    b) Whole
    c) Irrational
    d) None
  2. √36 =
    a) 6
    b) -6
    c) ±6
    d) 36
  3. Which is irrational?
    a) 22/7
    b) 0.4
    c) √13
    d) 5
  4. Terminating decimals are:
    a) Rational
    b) Irrational
    c) Integer
    d) None
  5. Non-terminating repeating decimals are:
    a) Irrational
    b) Rational
    c) Integer
    d) None
  6. √2 + √3 is:
    a) Rational
    b) Irrational
    c) Integer
    d) Whole
  7. √49 =
    a) 7
    b) -7
    c) ±7
    d) 49
  8. 1/(√5) after rationalization becomes:
    a) √5/5
    b) 1/5
    c) √5
    d) None
  9. Which is irrational?
    a) 0.121212…
    b) √17
    c) 1/8
    d) 2
  10. Closure property applies to:
    a) Rational numbers
    b) Irrational numbers
    c) Natural numbers
    d) Both a & c

🔷 SECTION B: COORDINATE GEOMETRY (Q41–80)

  1. The point (0,0) is called:
    a) Origin
    b) Axis
    c) Quadrant
    d) Line
  2. x-coordinate is called:
    a) Ordinate
    b) Abscissa
    c) Axis
    d) Origin
  3. y-coordinate is called:
    a) Abscissa
    b) Ordinate
    c) Axis
    d) Line
  4. A point on x-axis has:
    a) x=0
    b) y=0
    c) x=y
    d) None
  5. A point on y-axis has:
    a) x=0
    b) y=0
    c) x=y
    d) None

  1. Number of quadrants:
    a) 2
    b) 3
    c) 4
    d) 5
  2. (3,4) lies in:
    a) I
    b) II
    c) III
    d) IV
  3. (-3,4) lies in:
    a) I
    b) II
    c) III
    d) IV
  4. (-3,-4) lies in:
    a) I
    b) II
    c) III
    d) IV
  5. (3,-4) lies in:
    a) I
    b) II
    c) III
    d) IV

  1. (0,5) lies on:
    a) x-axis
    b) y-axis
    c) origin
    d) quadrant
  2. (5,0) lies on:
    a) x-axis
    b) y-axis
    c) origin
    d) quadrant

  1. Signs in first quadrant:
    a) +,+
    b) -,+
    c) -,-
    d) +,-
  2. Signs in second quadrant:
    a) +,+
    b) -,+
    c) -,-
    d) +,-
  3. Signs in third quadrant:
    a) +,+
    b) -,+
    c) -,-
    d) +,-
  4. Signs in fourth quadrant:
    a) +,+
    b) -,+
    c) -,-
    d) +,-

  1. (2,2) lies in:
    a) I
    b) II
    c) III
    d) IV
  2. (-2,2) lies in:
    a) I
    b) II
    c) III
    d) IV
  3. (-2,-2) lies in:
    a) I
    b) II
    c) III
    d) IV
  4. (2,-2) lies in:
    a) I
    b) II
    c) III
    d) IV

  1. If x=0, point lies on:
    a) x-axis
    b) y-axis
    c) origin
    d) quadrant
  2. If y=0, point lies on:
    a) x-axis
    b) y-axis
    c) origin
    d) quadrant
  3. (0,-5) lies on:
    a) x-axis
    b) y-axis
    c) origin
    d) quadrant
  4. (-5,0) lies on:
    a) x-axis
    b) y-axis
    c) origin
    d) quadrant

  1. Origin lies in:
    a) I quadrant
    b) II quadrant
    c) None
    d) All
  2. Points (x,y) and (y,x) are equal when:
    a) x=y
    b) x≠y
    c) always
    d) never
  3. (-4,5) lies in:
    a) I
    b) II
    c) III
    d) IV
  4. (4,-5) lies in:
    a) I
    b) II
    c) III
    d) IV
  5. (-4,-5) lies in:
    a) I
    b) II
    c) III
    d) IV
  6. (4,5) lies in:
    a) I
    b) II
    c) III
    d) IV

  1. A point on both axes is:
    a) (0,0)
    b) (1,0)
    c) (0,1)
    d) None
  2. (0,0) is:
    a) Origin
    b) Quadrant
    c) Axis
    d) Line
  3. Coordinate plane is formed by:
    a) One axis
    b) Two axes
    c) Three axes
    d) None
  4. Horizontal axis is:
    a) y-axis
    b) x-axis
    c) z-axis
    d) None
  5. Vertical axis is:
    a) x-axis
    b) y-axis
    c) z-axis
    d) None

  1. (1,-1) lies in:
    a) I
    b) II
    c) III
    d) IV
  2. (-1,1) lies in:
    a) I
    b) II
    c) III
    d) IV
  3. (-1,-1) lies in:
    a) I
    b) II
    c) III
    d) IV
  4. (1,1) lies in:
    a) I
    b) II
    c) III
    d) IV
  5. A point with positive x and negative y lies in:
    a) I
    b) II
    c) III
    d) IV


✅ ANSWER KEY

🔷 Section A (1–40)

1-b, 2-b, 3-c, 4-a, 5-c, 6-a, 7-b, 8-b, 9-b, 10-b,
11-b, 12-b, 13-a, 14-b, 15-b, 16-b, 17-a, 18-a, 19-a, 20-a,
21-a, 22-a, 23-c, 24-b, 25-c, 26-a, 27-c, 28-b, 29-c, 30-c,
31-b, 32-c, 33-c, 34-a, 35-b, 36-b, 37-c, 38-a, 39-b, 40-d


🔷 Section B (41–80)

41-a, 42-b, 43-b, 44-b, 45-a, 46-c, 47-a, 48-b, 49-c, 50-d,
51-b, 52-a, 53-a, 54-b, 55-c, 56-d, 57-a, 58-b, 59-c, 60-d,
61-b, 62-a, 63-b, 64-a, 65-c, 66-a, 67-b, 68-d, 69-c, 70-a,
71-a, 72-a, 73-b, 74-b, 75-b, 76-d, 77-b, 78-c, 79-a, 80-d

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