INSPIRE Scholarship Mock Test Paper
Time Duration: 2 Hours
Total Marks: 100
Instructions:
- Attempt all the questions.
- All questions carry equal marks.
- There is no negative marking.
Section A: Physics (25 Marks)
- What is the acceleration due to gravity at the Earth’s surface?
a) 9.8 m/s²
b) 10 m/s²
c) 8.9 m/s²
d) 9.5 m/s² - A ball is thrown vertically upwards with a speed of 20 m/s. What will be the maximum height it will reach? (Take g = 10 m/s²)
a) 20 m
b) 40 m
c) 10 m
d) 30 m - The total mechanical energy of an object in a free fall near the Earth’s surface is constant due to
a) Law of conservation of energy
b) Newton’s third law of motion
c) Law of conservation of momentum
d) The law of gravitation - The work done in lifting a body of weight 100 N through a height of 10 m is
a) 100 J
b) 1000 J
c) 10 J
d) 500 J - If an object is moving with constant velocity, its acceleration is
a) Zero
b) Equal to velocity
c) Constant
d) Negative - The refractive index of a medium is given by the ratio of the speed of light in
a) Air and water
b) Vacuum and air
c) Water and glass
d) Vacuum and medium - The total energy of a simple harmonic oscillator is
a) The sum of its potential and kinetic energy
b) Only kinetic energy
c) Only potential energy
d) Zero - The SI unit of electric charge is
a) Coulomb
b) Ampere
c) Volt
d) Ohm - Which of the following is true for a convex lens?
a) It converges parallel light rays to a focal point
b) It diverges parallel light rays
c) It does not form any real image
d) It produces only virtual images - If two bodies have the same temperature but different masses, they will have the same
a) Heat energy
b) Thermal energy
c) Specific heat capacity
d) None of the above
Section B: Chemistry (25 Marks)
- The atomic number of oxygen is 8. What is its electronic configuration?
a) 1s² 2s² 2p⁶
b) 1s² 2s² 2p⁴
c) 1s² 2s² 2p³
d) 1s² 2s¹ 2p³ - What is the oxidation state of sulfur in H₂SO₄?
a) +4
b) +6
c) -4
d) +2 - What is the pH of a neutral solution?
a) 7
b) 0
c) 14
d) 10 - Which of the following elements is most likely to form an anion?
a) Sodium
b) Chlorine
c) Potassium
d) Magnesium - Which of the following is an example of a covalent bond?
a) Sodium chloride (NaCl)
b) Magnesium oxide (MgO)
c) Hydrogen gas (H₂)
d) Calcium chloride (CaCl₂) - The molar mass of H₂O is
a) 18 g/mol
b) 36 g/mol
c) 25 g/mol
d) 22 g/mol - Which of the following reactions is an example of a redox reaction?
a) HCl + NaOH → NaCl + H₂O
b) H₂ + O₂ → H₂O
c) NaCl → Na⁺ + Cl⁻
d) None of the above - What is the molarity of a solution prepared by dissolving 5 g of NaOH in 500 mL of water?
a) 1 M
b) 0.5 M
c) 2 M
d) 0.1 M - Which of the following gases has the highest density at STP?
a) Hydrogen
b) Oxygen
c) Nitrogen
d) Carbon dioxide - Which of the following is the correct formula for sulfuric acid?
a) H₂SO₄
b) H₃PO₄
c) HNO₃
d) HCl
Section C: Mathematics (25 Marks)
- 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=−1,5 - If the value of 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 - Find the derivative of f(x)=3×2+5x−7f(x) = 3x^2 + 5x – 7f(x)=3×2+5x−7
a) 6x+5
b) 3x+5
c) 3×2−7x
d) 6x−7 - The sum of the first 10 natural numbers is
a) 45
b) 50
c) 55
d) 60 - What is the area of a triangle with base 12 cm and height 5 cm?
a) 30 cm²
b) 35 cm²
c) 40 cm²
d) 60 cm² - Solve for x: 2x+3=112x + 3 = 112x+3=11
a) 3
b) 4
c) 5
d) 6 - The perimeter of a square is 40 cm. What is the length of one side?
a) 5 cm
b) 6 cm
c) 7 cm
d) 10 cm - The area of a circle is 78.5 cm². What is the radius? (Use π=3.14\pi = 3.14π=3.14)
a) 4 cm
b) 5 cm
c) 6 cm
d) 7 cm - If the slope of a line is 3 and the y-intercept is -2, what is the equation of the line?
a) y=3x−2
b) y=2x+3
c) y=3x+2
d) y=−3x−2 - What is the solution to the system of equations: x+y=5 2x−y=4 a) x=3,y=2
b) x=2,y=3
c) x=4,y=1
d) x=1,y=4
Section D: Biology (25 Marks)
- The process by which plants produce food is called
a) Digestion
b) Respiration
c) Photosynthesis
d) Transpiration - Which organ in the human body is responsible for pumping blood?
a) Kidney
b) Heart
c) Liver
d) Lungs - In which part of the plant does photosynthesis primarily occur?
a) Root
b) Stem
c) Leaf
d) Flower - What is the main function of red blood cells in the human circulatory system?
a) Transport oxygen
b) Fight infections
c) Clot blood
d) Remove waste products - Which of the following is a product of cellular respiration?
a) Oxygen
b) Glucose
c) Carbon dioxide
d) Nitrogen - Which type of reproduction involves only one parent?
a) Sexual reproduction
b) Asexual reproduction
c) Internal fertilization
d) External fertilization - Which of the following organisms is an example of an amphibian?
a) Frog
b) Lizard
c) Snake
d) Fish
Answer Key
Section A: Physics
- b) 10 m/s²
- b) 40 m
- a) Law of conservation of energy
- b) 1000 J
- a) Zero
- b) Vacuum and air
- a) The sum of its potential and kinetic energy
- a) Coulomb
- a) It converges parallel light rays to a focal point
- b) Thermal energy
Section B: Chemistry
- b) 1s² 2s² 2p⁶
- b) +6
- a) 7
- b) Chlorine
- c) Hydrogen gas (H₂)
- a) 18 g/mol
- b) H₂ + O₂ → H₂O
- b) 0.5 M
- d) Carbon dioxide
- a) H₂SO₄
Section C: Mathematics
- b) x=2,3
- c) 13
- a) 6x+5
- c) 55
- a) 30 cm²
- b) 4
- d) 10 cm
- b) 5 cm
- a) y=3x−2
- a) x=3,y=2
Section D: Biology
- d) Epithelial tissue
- a) Protein synthesis
- b) Skin
- c) Photosynthesis
- b) Heart
- c) Leaf
- a) Transport oxygen
- c) Carbon dioxide
- b) Asexual reproduction
- a) Frog
Disclaimer:
This is a mock test created for practice purposes based on the general science topics relevant to students applying for the INSPIRE Scholarship. The INSPIRE Scholarship does not have an official entrance exam. This test is designed to help students prepare for Class 12 level exams and general science knowledge. The content provided here is for educational purposes only and is not an official test.