KVPY Stream SA Mock Test Paper | for Class 11 Students

Stream SA (Class 11 students):

• Total Duration: 3 hours
• Total Marks: 100
• Total Questions: 80 (in two parts)
  • Part I: 20 questions (1 mark each)
  • Part II: 20 questions (2 marks each)
  Subject-wise Question Distribution:
  • Physics: 20 questions (10 in Part I, 10 in Part II)
  • Chemistry: 20 questions (10 in Part I, 10 in Part II)
  • Mathematics: 20 questions (10 in Part I, 10 in Part II)
  • Biology: 20 questions (10 in Part I, 10 in Part II)

KVPY Stream SA Mock Test Paper (Class 11)

Time Allowed: 3 Hours

Total Marks: 100

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Section 1: Physics (25 Marks)

1. Which of the following is not a vector quantity?

a) Displacement
b) Velocity
c) Force
d) Temperature

2. The potential energy of a body is zero when its height is

a) 1 meter
b) 0
c) Maximum
d) Minimum

3. The value of acceleration due to gravity (g) at the equator is

a) Greater than at the poles
b) Equal to that at the poles
c) Less than at the poles
d) Zero

4. An object moves with uniform velocity. Its acceleration is

a) Zero
b) Constant
c) Increasing
d) Decreasing

5. The refractive index of water is 1.33. The speed of light in water is

a) 3 × 10⁸ m/s
b) 2.25 × 10⁸ m/s
c) 4.5 × 10⁸ m/s
d) 1.5 × 10⁸ m/s

6. The resistance of a conductor depends on which of the following factors?

a) Temperature
b) Length
c) Cross-sectional area
d) All of the above

7. Which of the following is a characteristic of a convex lens?

a) Converging rays meet at a point
b) Diverging rays meet at a point
c) Forms real and virtual images
d) Does not form any image

8. A body of mass 10 kg is acted upon by a force of 20 N. The acceleration of the body is

a) 0.5 m/s²
b) 2 m/s²
c) 1 m/s²
d) 4 m/s²

9. The work done in lifting a body of weight W through a height h is

a) Wh
b) W/h
c) Wh²
d) W²h

10. A car accelerates uniformly from rest and reaches a speed of 20 m/s in 10 seconds. The acceleration is

a) 1 m/s²
b) 2 m/s²
c) 3 m/s²
d) 5 m/s²

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Section 2: Chemistry (25 Marks)

1. Which of the following is the correct molecular formula for methane?

a) CH₄
b) C₂H₆
c) C₆H₁₂
d) CH₃

2. The atomic number of an element is the number of

a) Protons in an atom
b) Electrons in an atom
c) Neutrons in an atom
d) Protons and neutrons

3. Which of the following is a chemical change?

a) Melting of ice
b) Boiling of water
c) Burning of paper
d) Dissolving salt in water

4. The molar mass of NaCl is

a) 58 g/mol
b) 36 g/mol
c) 23 g/mol
d) 44 g/mol

5. Which gas is evolved when an acid reacts with a metal?

a) Oxygen
b) Hydrogen
c) Carbon dioxide
d) Nitrogen

6. Which of the following is the strongest acid?

a) HCl
b) H₂SO₄
c) HNO₃
d) H₂CO₃

7. Which element is present in all organic compounds?

a) Nitrogen
b) Hydrogen
c) Oxygen
d) Carbon

8. The pH of a neutral solution is

a) 1
b) 7
c) 14
d) 0

9. Which of the following is the formula for calcium hydroxide?

a) CaCl₂
b) CaOH₂
c) Ca(OH)₂
d) CaO

10. Which of the following is a property of metals?

a) Malleable
b) Insulating
c) Brittle
d) Non-conducting

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Section 3: Mathematics (25 Marks)

1. The value of 196\sqrt{196}196​ is

a) 12
b) 13
c) 14
d) 15

2. Which of the following is a solution to the equation 2x+5=152x + 5 = 152x+5=15?

a) x = 2
b) x = 3
c) x = 5
d) x = 10

3. The value of 252^525 is

a) 32
b) 25
c) 64
d) 128

4. The sum of the first 10 natural numbers is

a) 45
b) 50
c) 55
d) 60

5. What is the area of a rectangle with length 6 cm and width 3 cm?

a) 9 cm²
b) 18 cm²
c) 24 cm²
d) 36 cm²

6. The equation of a straight line passing through the origin with slope 2 is

a) y = 2x
b) y = x + 2
c) y = 2x + 1
d) y = x – 2

7. If x=2x = 2x=2 and y=3y = 3y=3, what is x2+y2x^2 + y^2×2+y2?

a) 10
b) 12
c) 13
d) 15

8. The perimeter of a square is 20 cm. What is the length of one side?

a) 3 cm
b) 4 cm
c) 5 cm
d) 6 cm

9. The volume of a cylinder with radius 3 cm and height 4 cm is

a) 36π cm³
b) 27π cm³
c) 24π cm³
d) 12π cm³

10. What is the derivative of f(x)=2x3f(x) = 2x^3f(x)=2×3?

a) 3x²
b) 6x²
c) 6x³
d) 2x²

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Section 4: Biology (25 Marks)

1. Which of the following is a function of the ribosomes in the cell?

a) DNA replication
b) Protein synthesis
c) Energy production
d) Waste removal

2. The process by which plants prepare their food is called

a) Respiration
b) Transpiration
c) Photosynthesis
d) Germination

3. The human heart has how many chambers?

a) Two
b) Three
c) Four
d) Five

4. Which part of the plant is responsible for absorbing water and nutrients?

a) Leaf
b) Stem
c) Root
d) Flower

5. The blood group system was discovered by

a) Watson and Crick
b) Charles Darwin
c) Karl Landsteiner
d) Albert Einstein

6. Which organ in the human body produces insulin?

a) Heart
b) Kidney
c) Pancreas
d) Liver

7. Which of the following is not a vertebrate?

a) Fish
b) Bird
c) Snake
d) Earthworm

8. The process of cell division that results in two identical daughter cells is called

a) Meiosis
b) Mitosis
c) Fertilization
d) Respiration

9. Which of the following is a product of cellular respiration?

a) Oxygen
b) Carbon dioxide
c) Glucose
d) Nitrogen

10. What is the largest organ in the human body?

a) Heart
b) Brain
c) Liver
d) Skin

KVPY Stream SA Mock Test Paper – Part II (2 Mark Questions)

Section 1: Physics (25 Marks)

1. A ball is thrown vertically upward with an initial velocity of 20 m/s. Calculate the time taken by the ball to reach the highest point. (g = 10 m/s²)
   a) 1 second
   b) 2 seconds
   c) 3 seconds
   d) 4 seconds
2. A car moving with a velocity of 30 m/s applies brakes and comes to a stop after 5 seconds. What is the retardation of the car?
   a) 5 m/s²
   b) 6 m/s²
   c) 4 m/s²
   d) 2 m/s²
3. A ray of light is incident at an angle of 30° to the surface of water. The refractive index of water is 1.33. What is the angle of refraction?
   a) 22.1°
   b) 19.8°
   c) 15.0°
   d) 18.2°
4. A 20-ohm resistor is connected to a 12 V battery. What is the power dissipated in the resistor?
   a) 6 W
   b) 7 W
   c) 8 W
   d) 10 W
5. A body is thrown horizontally from the top of a tower 50 meters high. Neglecting air resistance, how long will it take to hit the ground?
   a) 2.5 seconds
   b) 3 seconds
   c) 4.5 seconds
   d) 5 seconds

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Section 2: Chemistry (25 Marks)

1. Calculate the number of moles in 36 grams of water (H₂O).
   a) 1 mol
   b) 2 mol
   c) 0.5 mol
   d) 3 mol
2. What is the molar volume of a gas at STP?
   a) 22.4 L
   b) 23.4 L
   c) 20.0 L
   d) 25.4 L
3. The element X has an atomic number of 11. What is its electronic configuration?
   a) 1s² 2s² 2p⁶ 3s¹
   b) 1s² 2s² 2p⁶ 3p⁶
   c) 1s² 2s² 2p⁶ 3p²
   d) 1s² 2s² 2p⁶ 3s²
4. Which of the following will not dissolve in water?
   a) Sodium chloride
   b) Ammonium chloride
   c) Iodine
   d) Potassium bromide
5. What is the oxidation state of manganese in KMnO₄?
   a) +3
   b) +4
   c) +6
   d) +7

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Section 3: Mathematics (25 Marks)

1. Solve the quadratic equation x2−5x+6=0x^2 – 5x + 6 = 0x2−5x+6=0.
   a) x = 1, 6
   b) x = 2, 3
   c) x = 3, 2
   d) x = 4, 1
2. The sum of the first 20 terms of an arithmetic progression is 400. If the first term is 10, what is the common difference?
   a) 5
   b) 4
   c) 6
   d) 3
3. Find the derivative of f(x)=3×2+5x−2f(x) = 3x² + 5x – 2f(x)=3×2+5x−2.
   a) 6x + 5
   b) 6x – 5
   c) 5x + 6
   d) 3x + 5
4. If sin⁡θ=35\sin \theta = \frac{3}{5}sinθ=53​, what is cos⁡θ\cos \thetacosθ?
   a) $\frac{4}{5}$54​
   b) $\frac{3}{4}$43​
   c) $\frac{5}{4}$45​
   d) $\frac{5}{3}$35​
5. What is the area of a triangle with base 10 cm and height 6 cm?
   a) 30 cm²
   b) 60 cm²
   c) 50 cm²
   d) 40 cm²

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Section 4: Biology (25 Marks)

1. Which of the following is a function of the mitochondria?
   a) Protein synthesis
   b) Cellular respiration
   c) Photosynthesis
   d) DNA replication
2. Which of the following is not a type of connective tissue?
   a) Blood
   b) Bone
   c) Cartilage
   d) Muscles
3. Which structure in the human body helps in the filtration of blood?
   a) Heart
   b) Kidney
   c) Lungs
   d) Liver
4. The process of photosynthesis occurs in which part of the plant?
   a) Stem
   b) Leaf
   c) Root
   d) Flower
5. Which of the following is true about the human circulatory system?
   a) The heart pumps deoxygenated blood to the body
   b) Oxygenated blood is carried by veins
   c) The right side of the heart pumps oxygenated blood
   d) The left side of the heart pumps oxygenated blood

Disclaimer:
This is a mock test paper created for practice purposes based on typical patterns and questions seen in the Kishore Vaigyanik Protsahan Yojana (KVPY) Stream SA Exam. The questions and answers provided here are designed to aid in exam preparation but are not official and may not exactly reflect the content of the actual exam. Candidates are advised to consult official KVPY resources for the most accurate and up-to-date information.

Section 1: Physics (25 Marks)

1. Which of the following is not a vector quantity?
   Answer: d) Temperature
2. The potential energy of a body is zero when its height is
   Answer: b) 0
3. The value of acceleration due to gravity (g) at the equator is
   Answer: c) Less than at the poles
4. An object moves with uniform velocity. Its acceleration is
   Answer: a) Zero
5. The refractive index of water is 1.33. The speed of light in water is
   Answer: b) 2.25 × 10⁸ m/s
6. The resistance of a conductor depends on which of the following factors?
   Answer: d) All of the above
7. Which of the following is a characteristic of a convex lens?
   Answer: a) Converging rays meet at a point
8. A body of mass 10 kg is acted upon by a force of 20 N. The acceleration of the body is
   Answer: b) 2 m/s²
   $\text{Acceleration} = \frac{\text{Force}}{\text{Mass}} = \frac{20}{10} = 2 \, \text{m/s}^2$Acceleration=MassForce​=1020​=2m/s2
9. The work done in lifting a body of weight W through a height h is
   Answer: a) Wh
10. A car accelerates uniformly from rest and reaches a speed of 20 m/s in 10 seconds. The acceleration is
    Answer: b) 2 m/s²
    $\text{Acceleration} = \frac{\text{Change in Speed}}{\text{Time}} = \frac{20}{10} = 2 \, \text{m/s}^2$Acceleration=TimeChange in Speed​=1020​=2m/s2

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Section 2: Chemistry (25 Marks)

1. Which of the following is the correct molecular formula for methane?
   Answer: a) CH₄
2. The atomic number of an element is the number of
   Answer: a) Protons in an atom
3. Which of the following is a chemical change?
   Answer: c) Burning of paper
4. The molar mass of NaCl is
   Answer: a) 58 g/mol
5. Which gas is evolved when an acid reacts with a metal?
   Answer: b) Hydrogen
6. Which of the following is the strongest acid?
   Answer: b) H₂SO₄
7. Which element is present in all organic compounds?
   Answer: d) Carbon
8. The pH of a neutral solution is
   Answer: b) 7
9. Which of the following is the formula for calcium hydroxide?
   Answer: c) Ca(OH)₂
10. Which of the following is a property of metals?
    Answer: a) Malleable

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Section 3: Mathematics (25 Marks)

1. The value of 196\sqrt{196}196​ is
   Answer: c) 14
2. Which of the following is a solution to the equation 2x+5=152x + 5 = 152x+5=15?
   Answer: b) x = 5
   $2x + 5 = 15 \Rightarrow 2x = 10 \Rightarrow x = 5$2x+5=15⇒2x=10⇒x=5
3. The value of 252^525 is
   Answer: a) 32
4. The sum of the first 10 natural numbers is
   Answer: c) 55
   $\text{Sum} = \frac{n(n+1)}{2} = \frac{10 \times 11}{2} = 55$Sum=2n(n+1)​=210×11​=55
5. What is the area of a rectangle with length 6 cm and width 3 cm?
   Answer: b) 18 cm²
   $\text{Area} = \text{Length} \times \text{Width} = 6 \times 3 = 18 \, \text{cm}^2$Area=Length×Width=6×3=18cm2
6. The equation of a straight line passing through the origin with slope 2 is
   Answer: a) y = 2x
7. If x=2x = 2x=2 and y=3y = 3y=3, what is x2+y2x^2 + y^2×2+y2?
   Answer: c) 13
   $x^2 + y^2 = 2^2 + 3^2 = 4 + 9 = 13$x2+y2=22+32=4+9=13
8. The perimeter of a square is 20 cm. What is the length of one side?
   Answer: c) 5 cm
   $\text{Perimeter} = 4 \times \text{Side} \Rightarrow 20 = 4 \times \text{Side} \Rightarrow \text{Side} = 5 \, \text{cm}$Perimeter=4×Side⇒20=4×Side⇒Side=5cm
9. The volume of a cylinder with radius 3 cm and height 4 cm is
   Answer: a) 36π cm³
   $\text{Volume} = \pi r^2 h = \pi \times 3^2 \times 4 = 36\pi \, \text{cm}^3$Volume=πr2h=π×32×4=36πcm3
10. What is the derivative of f(x)=2x3f(x) = 2x^3f(x)=2×3?
    Answer: b) 6x²
    $f'(x) = 6x^2$f′(x)=6×2

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Section 4: Biology (25 Marks)

1. Which of the following is a function of the ribosomes in the cell?
   Answer: b) Protein synthesis
2. The process by which plants prepare their food is called
   Answer: c) Photosynthesis
3. The human heart has how many chambers?
   Answer: c) Four
4. Which part of the plant is responsible for absorbing water and nutrients?
   Answer: c) Root
5. The blood group system was discovered by
   Answer: c) Karl Landsteiner
6. Which organ in the human body produces insulin?
   Answer: c) Pancreas
7. Which of the following is not a vertebrate?
   Answer: d) Earthworm
8. The process of cell division that results in two identical daughter cells is called
   Answer: b) Mitosis
9. Which of the following is a product of cellular respiration?
   Answer: b) Carbon dioxide
10. What is the largest organ in the human body?
    Answer: d) Skin

Section 1: Physics (25 Marks)

1. A ball is thrown vertically upward with an initial velocity of 20 m/s. Calculate the time taken by the ball to reach the highest point. (g = 10 m/s²)
   Answer: b) 2 seconds
   $v = u + at$v=u+at
   $0 = 20 – 10 \times t$0=20−10×t
   $t = 2 \, \text{seconds}$t=2seconds
2. A car moving with a velocity of 30 m/s applies brakes and comes to a stop after 5 seconds. What is the retardation of the car?
   Answer: b) 6 m/s²
   $\text{Retardation} = \frac{\Delta v}{t} = \frac{30}{5} = 6 \, \text{m/s}^2$Retardation=tΔv​=530​=6m/s2
3. A ray of light is incident at an angle of 30° to the surface of water. The refractive index of water is 1.33. What is the angle of refraction?
   Answer: b) 19.8°
   $\sin i = 1.33 \times \sin r$sini=1.33×sinr
   $\sin r = \frac{\sin 30^\circ}{1.33} = 0.249$sinr=1.33sin30∘​=0.249
   $r \approx 19.8^\circ$r≈19.8∘
4. A 20-ohm resistor is connected to a 12 V battery. What is the power dissipated in the resistor?
   Answer: c) 8 W
   $P = \frac{V^2}{R} = \frac{12^2}{20} = 8 \, \text{W}$P=RV2​=20122​=8W
5. A body is thrown horizontally from the top of a tower 50 meters high. Neglecting air resistance, how long will it take to hit the ground?
   Answer: b) 3 seconds
   $h = \frac{1}{2} g t^2$h=21​gt2
   $50 = \frac{1}{2} \times 10 \times t^2$50=21​×10×t2
   $t = 3 \, \text{seconds}$t=3seconds

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Section 2: Chemistry (25 Marks)

1. Calculate the number of moles in 36 grams of water (H₂O).
   Answer: a) 1 mol
   Molar mass of H₂O = 18 g/mol
   Moles = $\frac{36}{18} = 2 \, \text{moles}$1836​=2moles
2. What is the molar volume of a gas at STP?
   Answer: a) 22.4 L
   Molar volume of an ideal gas at STP is 22.4 L.
3. The element X has an atomic number of 11. What is its electronic configuration?
   Answer: a) 1s² 2s² 2p⁶ 3s¹
4. Which of the following will not dissolve in water?
   Answer: c) Iodine
5. What is the oxidation state of manganese in KMnO₄?
   Answer: d) +7
   The oxidation state of Mn in KMnO₄ is +7.

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Section 3: Mathematics (25 Marks)

1. Solve the quadratic equation x2−5x+6=0x^2 – 5x + 6 = 0x2−5x+6=0.
   Answer: b) x = 2, 3
   Factorization: $(x – 2)(x – 3) = 0$(x−2)(x−3)=0
2. The sum of the first 20 terms of an arithmetic progression is 400. If the first term is 10, what is the common difference?
   Answer: a) 5
   Sum of AP: $S_n = \frac{n}{2} [2a + (n – 1) d]$Sn​=2n​[2a+(n−1)d]
   $400 = \frac{20}{2} [2(10) + (20 – 1) d]$400=220​[2(10)+(20−1)d]
   Solving gives $d = 5$d=5.
3. Find the derivative of f(x)=3×2+5x−2f(x) = 3x² + 5x – 2f(x)=3×2+5x−2.
   Answer: a) 6x + 5
   The derivative of $f(x) = 3x² + 5x – 2$f(x)=3×2+5x−2 is $f'(x) = 6x + 5$f′(x)=6x+5.
4. If sin⁡θ=35\sin \theta = \frac{3}{5}sinθ=53​, what is cos⁡θ\cos \thetacosθ?
   Answer: a) $\frac{4}{5}$54​
   Using $\sin^2 \theta + \cos^2 \theta = 1$sin2θ+cos2θ=1,
   $\cos \theta = \sqrt{1 – \left(\frac{3}{5}\right)^2} = \frac{4}{5}$cosθ=1−(53​)2​=54​.
5. What is the area of a triangle with base 10 cm and height 6 cm?
   Answer: b) 30 cm²
   Area of a triangle = $\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 10 \times 6 = 30 \, \text{cm}^2$21​×base×height=21​×10×6=30cm2

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Section 4: Biology (25 Marks)

1. Which of the following is a function of the mitochondria?
   Answer: b) Cellular respiration
2. Which of the following is not a type of connective tissue?
   Answer: d) Muscles
3. Which structure in the human body helps in the filtration of blood?
   Answer: b) Kidney
4. The process of photosynthesis occurs in which part of the plant?
   Answer: b) Leaf
5. Which of the following is true about the human circulatory system?
   Answer: d) The left side of the heart pumps oxygenated blood