Previous year question paper polytechnic with answers

Previous year question papers are an excellent way for students to understand the pattern of exams, key topics, and types of questions asked. They are helpful for preparation, boosting confidence, and improving problem-solving skills. Below are subject-wise questions and answers to aid in polytechnic exam preparation.

Mathematics

Question What is the value of (a + b)^2?

Answer The value of (a + b)^2 is a^2 + 2ab + b^2.

Question Solve: If x = 5, find the value of 2x + 3.

Answer If x = 5, the value of 2x + 3 is 13.

Question What is the derivative of sin(x)?

Answer The derivative of sin(x) is cos(x).

Question Find the area of a circle with radius r.

Answer The area of a circle is πr^2.

Question Solve: If y = 3x + 4, find y when x = 2.

Answer When x = 2, y = 10.

Question What is the formula for the volume of a sphere?

Answer The formula for the volume of a sphere is (4/3)πr^3.

Question Simplify: (x + 3)(x – 3).

Answer The simplified form is x^2 – 9.

Question Solve: Find the value of 3x + 7 = 19.

Answer The value of x is 4.

Question What is the integral of 1/x dx?

Answer The integral of 1/x dx is ln|x| + C.

Question What is the quadratic formula?

Answer The quadratic formula is x = [-b ± √(b^2 – 4ac)] / 2a.

Question Calculate the slope of a line passing through (1, 2) and (3, 6).

Answer The slope is 2.

Question What is the formula for the circumference of a circle?

Answer The formula is 2πr.

Question Solve: If 2x = 10, find x.

Answer x = 5.

Question What is the value of cos(0)?

Answer The value of cos(0) is 1.

Question Simplify: 3x – 2x + 5.

Answer The simplified form is x + 5.

Question What is the standard equation of a parabola?

Answer The standard equation is y = ax^2 + bx + c.

Question Solve: Find the value of x in 5x – 7 = 3.

Answer The value of x is 2.

Question What is the derivative of x^2?

Answer The derivative is 2x.

Question What is the value of tan(45°)?

Answer The value is 1.

Physics

Question What is the formula for speed?

Answer Speed = Distance / Time.

Question State Newton’s first law of motion.

Answer An object remains in a state of rest or uniform motion unless acted upon by an external force.

Question What is the SI unit of force?

Answer The SI unit of force is Newton (N).

Question Define work in physics.

Answer Work is the product of force and displacement in the direction of the force.

Question What is the value of acceleration due to gravity?

Answer The value is approximately 9.8 m/s^2.

Question What is Ohm’s Law?

Answer Ohm’s Law states that V = IR.

Question What is the formula for kinetic energy?

Answer Kinetic energy = ½ mv^2.

Question Define potential energy.

Answer Potential energy is the energy possessed by an object due to its position or configuration.

Question What is the speed of light?

Answer The speed of light is approximately 3 × 10^8 m/s.

Question What is the formula for power?

Answer Power = Work done / Time taken.

Question State the law of conservation of energy.

Answer Energy cannot be created or destroyed; it can only change forms.

Question What is the SI unit of energy?

Answer The SI unit is Joule (J).

Question Define torque.

Answer Torque is the rotational equivalent of force.

Question What is the formula for pressure?

Answer Pressure = Force / Area.

Question What is the principle of flotation?

Answer A body floats if its weight is equal to the weight of the displaced fluid.

Question What is the unit of frequency?

Answer The unit is Hertz (Hz).

Question Define momentum.

Answer Momentum is the product of mass and velocity.

Question What is the formula for wave speed?

Answer Wave speed = Frequency × Wavelength.

Question What is the SI unit of electric charge?

Answer The SI unit is Coulomb (C).

Question Define latent heat.

Answer Latent heat is the heat required to change the state of a substance without changing its temperature.

Chemistry

Question What is the chemical formula for water?

Answer The formula is H2O.

Question Define atomic number.

Answer The atomic number is the number of protons in the nucleus of an atom.

Question What is the pH of a neutral solution?

Answer The pH is 7.

Question What is the chemical formula of sodium chloride?

Answer The formula is NaCl.

Question Define isotopes.

Answer Isotopes are atoms of the same element with different numbers of neutrons.

Question What is the SI unit of molar mass?

Answer The SI unit is grams per mole (g/mol).

Question What is an acid?

Answer An acid is a substance that donates protons (H+) in a chemical reaction.

Question What is a base?

Answer A base is a substance that accepts protons (H+).

Question What is the formula for methane?

Answer The formula is CH4.

Question Define valency.

Answer Valency is the combining capacity of an element.

Question What is the periodic table?

Answer The periodic table is an arrangement of elements in order of increasing atomic number.

Question Define electrolysis.

Answer Electrolysis is the process of breaking down a compound using electricity.

Question What is the chemical formula for sulfuric acid?

Answer The formula is H2SO4.

Question Define covalent bond.

Answer A covalent bond is a chemical bond formed by the sharing of electrons.

Question What is a mole?

Answer A mole is the amount of substance containing 6.022 × 10^23 particles.

Question What is the symbol for gold?

Answer The symbol is Au.

Question Define oxidation.

Answer Oxidation is the loss of electrons in a chemical reaction.

Question What is the formula for calcium carbonate?

Answer The formula is CaCO3.

Question What is a catalyst?

Answer A catalyst is a substance that speeds up a chemical reaction without being consumed.

Question Define endothermic reaction.

Answer An endothermic reaction absorbs heat.

Solving previous year question papers is crucial for success in polytechnic exams. It enhances understanding and helps identify weak areas for improvement. These questions and answers, categorized by subjects, provide a comprehensive guide for preparation. Consistent practice ensures confidence and readiness for exams.