Solved Practice Questions

Solve for x: 2x + 5 = 15

Answer: x = 5

What is the value of x in 3x − 7 = 14?

Answer: x = 7

Simplify: 4x + 3x − 2x

Answer: 5x

Find the area of a triangle with base 10 cm and height 6 cm.

Answer: 30 cm²

Find the perimeter of a rectangle with length 8 cm and width 5 cm.

Answer: 26 cm

What is the circumference of a circle with radius 7 cm?

Answer: 44 cm (approx)

AlgebraMedium

Solve: x² − 5x + 6 = 0

Answer: x = 2 or x = 3

What is the value of sin 30°?

Answer: 1/2 or 0.5

What is the value of cos 60°?

Answer: 1/2 or 0.5

What is the value of tan 45°?

Answer: 1

What is the value of sin²θ + cos²θ?

Answer: 1

Find the volume of a cube with side 4 cm.

Answer: 64 cm³

Find the HCF of 12 and 18.

Answer: 6

Find the LCM of 4 and 6.

Answer: 12

PhysicsEasy

What is the speed if distance is 100 km and time is 5 hours?

Answer: 20 km/h

Solve: 5x − 3 = 2x + 9

Answer: x = 4

Evaluate 3x + 2y when x = 4 and y = 5.

Answer: 22

AlgebraMedium

Expand: (2x + 3)²

Answer: 4x² + 12x + 9

Factor: x² − 9

Answer: (x − 3)(x + 3)

What is the slope of the line y = 3x + 2?

Answer: 3

What is the y-intercept of y = 2x − 4?

Answer: −4

AlgebraMedium

Solve the system: x + y = 7 and x − y = 3.

Answer: x = 5, y = 2

Simplify: 2a + 3b + 5a − b

Answer: 7a + 2b

What is 25% of 80?

Answer: 20

What is 20% of 150?

Answer: 30

ArithmeticMedium

Find the simple interest on ₹1000 for 2 years at 5% per annum.

Answer: ₹100

ArithmeticMedium

Find the profit percent if cost price is ₹200 and selling price is ₹250.

Answer: 25%

Find the average of 10, 20, 30, and 40.

Answer: 25

What is the median of 5, 7, 9, 11, 15?

Answer: 9

Find the range of 12, 8, 15, 21.

Answer: 13

What is the probability of getting a head when a coin is tossed?

Answer: 1/2

What is the probability of getting a 6 when a die is thrown?

Answer: 1/6

Find the area of a rectangle with length 12 cm and width 7 cm.

Answer: 84 cm²

Find the area of a circle with radius 7 cm.

Answer: 154 cm² (approx)

Find the volume of a cylinder with radius 7 cm and height 10 cm.

Answer: 1540 cm³ (approx)

Find the hypotenuse of a right triangle with legs 3 cm and 4 cm.

Answer: 5 cm

Find the hypotenuse of a right triangle with legs 5 cm and 12 cm.

Answer: 13 cm

Find the diagonal of a square with side 10 cm.

Answer: 10√2 cm ≈ 14.14 cm

Find the area of a square with side 8 cm.

Answer: 64 cm²

Find the perimeter of an equilateral triangle with side 9 cm.

Answer: 27 cm

Find the number of sides of a polygon whose interior angle sum is 900°.

Answer: 7

Find the measure of each interior angle of a regular hexagon.

Answer: 120°

Find the measure of each exterior angle of a regular polygon with 12 sides.

Answer: 30°

What is the value of cos 30°?

Answer: √3/2 ≈ 0.866

What is the value of sin 60°?

Answer: √3/2 ≈ 0.866

What is the value of tan 30°?

Answer: 1/√3 ≈ 0.577

What is the value of tan 60°?

Answer: √3 ≈ 1.732

What is the value of cos 45°?

Answer: 1/√2 ≈ 0.707

What is the value of sin 45°?

Answer: 1/√2 ≈ 0.707

What is the value of cos 0°?

Answer: 1

What is the value of sin 0°?

Answer: 0

What is the value of tan 0°?

Answer: 0

What is the value of sin 90°?

Answer: 1

What is the value of cos 90°?

Answer: 0

TrigonometryMedium

What is the value of tan 90°?

Answer: Undefined

What is the value of cot 45°?

Answer: 1

What is the value of sec 60°?

Answer: 2

What is the value of cosec 30°?

Answer: 2

Find the HCF of 24 and 36.

Answer: 12

Find the HCF of 18 and 48.

Answer: 6

Find the LCM of 6 and 8.

Answer: 24

Find the LCM of 12 and 18.

Answer: 36

Is 97 a prime number?

Answer: Yes

Find the prime factorisation of 72.

Answer: 2³ × 3²

Number TheoryMedium

How many factors does 36 have?

Answer: 9

What is the sum of the first 10 natural numbers?

Answer: 55

What is the sum of the first 20 natural numbers?

Answer: 210

What is the sum of the first 10 even numbers?

Answer: 110

What is 15²?

Answer: 225

What is 25²?

Answer: 625

What is 35²?

Answer: 1225

What is 15% of 200?

Answer: 30

Convert 0.75 to a fraction.

Answer: 3/4

Convert 0.6 to a fraction.

Answer: 3/5

What is the SI unit of length?

Answer: Metre (m)

What is the SI unit of mass?

Answer: Kilogram (kg)

What is the SI unit of time?

Answer: Second (s)

What is the SI unit of force?

Answer: Newton (N)

What is the SI unit of pressure?

Answer: Pascal (Pa)

What is the SI unit of density?

Answer: kg/m³

What is the SI unit of temperature?

Answer: Kelvin (K)

What is the chemical formula of water?

Answer: H₂O

What is the chemical formula of carbon dioxide?

Answer: CO₂

What is the chemical formula of methane?

Answer: CH₄

What is photosynthesis?

Answer: The process by which plants make food using sunlight, water and carbon dioxide.

What is respiration?

Answer: The process of breaking down glucose to release energy using oxygen.

What does Newton’s first law of motion state?

Answer: An object at rest stays at rest, and an object in motion stays in motion unless acted upon by an external force.

What is evaporation?

Answer: The process by which a liquid changes into vapour at its surface.

What is condensation?

Answer: The process by which water vapour changes into liquid water.

What is a habitat?

Answer: The natural home or environment of a living organism.

What is a food chain?

Answer: A sequence showing how energy is transferred from one organism to another through feeding.

What is acid rain?

Answer: Rain that contains harmful acids formed by pollutants like sulphur dioxide and nitrogen oxides.

How many bones are there in an adult human body?

Answer: 206

What is the function of the heart?

Answer: To pump blood throughout the body.

Find the next number in the series: 2, 5, 8, 11, ?

Answer: 14

Find the next number in the series: 3, 6, 12, 24, ?

Answer: 48

Find the next letter in the series: A, C, E, G, ?

Answer: I

Find the odd one out: 1, 4, 9, 15, 25.

Answer: 15

If today is Monday, what day will it be the day after tomorrow?

Answer: Wednesday

ReasoningMedium

If APPLE is coded as EPP, what is the pattern?

Answer: First letter shifted +4, others repeated (illustrative pattern)

What is the relation of my father’s sister to me?

Answer: Aunt

If you face east and turn 90° clockwise, which direction do you face?

Answer: South

ReasoningMedium

Statement: All roses are flowers. Conclusion: All flowers are roses. Is it valid?

Answer: No

ReasoningMedium

All cats are mammals. All mammals are animals. Therefore?

Answer: All cats are animals.

Find the mode of 2, 3, 3, 5, 7, 3, 8.

Answer: 3

What is the probability of getting an even number on a die?

Answer: 1/2

What is the mean of the first 5 natural numbers?

Answer: 3

What is the probability of drawing a red card from a standard deck of 52 cards?

Answer: 1/2

What is the derivative of x²?

Answer: 2x

What is the integral of 2x?

Answer: x² + C

What is the derivative of sin x?

Answer: cos x

What is the derivative of cos x?

Answer: −sin x

What is log₁₀(100)?

Answer: 2

What is log₁₀(1000)?

Answer: 3

Complex NumbersMedium

What is |3 + 4i|?

Answer: 5

Complex NumbersEasy

What is the conjugate of 3 + 4i?

Answer: 3 − 4i

Complex NumbersEasy

What is i²?

Answer: −1

Set TheoryEasy

How many subsets does a set with 3 elements have?

Answer: 8

Set TheoryEasy

How many proper subsets does a set with 3 elements have?

Answer: 7

CombinatoricsEasy

What is 5!?

Answer: 120

CombinatoricsEasy

What is 6!?

Answer: 720

CombinatoricsMedium

Find ⁴C₂.

Answer: 6

CombinatoricsMedium

Find ⁵C₃.

Answer: 10

Coordinate GeometryEasy

Find the distance between the points (0, 0) and (3, 4).

Answer: 5

Coordinate GeometryEasy

Find the slope of the line passing through (2, 3) and (4, 7).

Answer: 2

What is the sum of the angles of a triangle?

Answer: 180°

What is the sum of the interior angles of a quadrilateral?

Answer: 360°

What is the mirror image of the letter P?

Answer: A horizontally flipped P (⠃ shape)

Verbal ReasoningEasy

What is the opposite of “rapid”?

Answer: Slow

Verbal ReasoningEasy

What is a synonym of “happy”?

Answer: Joyful

Verbal ReasoningEasy

Complete the analogy: Book is to Read as Pen is to ?

Answer: Write

What is the chemical formula of sodium chloride?

Answer: NaCl

What is the largest planet in our solar system?

Answer: Jupiter

What is the hottest planet in our solar system?

Answer: Venus

What is the SI unit of electric current?

Answer: Ampere (A)

What is Ohm’s law?

Answer: V = IR

What is reflection of light?

Answer: Bouncing back of light when it hits a smooth surface.

What is refraction of light?

Answer: Bending of light when it passes from one medium to another.