Whether you’re preparing for your exams, or looking to improve your mathematics skills, this article will help you get ready. These questions are divided on the basis of different sections in mathematics so that you can work on your targeted weaknesses. This quiz covers all the minor MCQs and basic mathematical concepts included in Class 12th syllabus.
Mathematical Concepts & Trivia
- Who is known as the Father of Geometry?
Answer: Euclid - What is the value of π (Pi) up to 5 decimal places?
Answer: 3.14159 - Euler's formula relates to which branch of mathematics?
Answer: Topology - What is the sum of the interior angles of a triangle?
Answer: 180° - Which number is known as the 'Ramanujan Number'?
Answer: 1729 - Who developed the concept of Calculus independently in the 17th century?
Answer: Isaac Newton and Gottfried Wilhelm Leibniz - What is the derivative of sin(x)?
Answer: cos(x) - Who is known as the 'Prince of Indian Mathematics'?
Answer: Srinivasa Ramanujan - Which theorem states that the sum of the squares of the two legs of a right-angled triangle equals the square of the hypotenuse?
Answer: Pythagorean Theorem - What is the value of the golden ratio (φ)?
Answer: Approximately 1.61803
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Geometry & Shapes
- What is the sum of the interior angles of a quadrilateral?
Answer: 360° - How many faces does a cube have?
Answer: 6 - What is the name of a polygon with 10 sides?
Answer: Decagon - Which shape has no edges and no vertices?
Answer: Circle - What is the area of a circle formula?
Answer: πr² - What is the volume of a sphere formula?
Answer: (4/3)πr³ - How many sides does a hexagon have?
Answer: 6 - What is the perimeter of a rectangle formula?
Answer: 2(l + b) - How many diagonals does a hexagon have?
Answer: 9 - What is the surface area of a cylinder formula?
Answer: 2πr(h + r)
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Algebra & Numbers
- What is the square root of 144?
Answer: 12 - Which number is known as the 'perfect number' between 1 and 10?
Answer: 6 - What is the value of 2 raised to the power of 10?
Answer: 1024 - What is the sum of the first 10 prime numbers?
Answer: 129 - What is the least common multiple (LCM) of 12 and 15?
Answer: 60 - What is the greatest common divisor (GCD) of 36 and 60?
Answer: 12 - Which number is known as the 'Fibonacci number' after 13?
Answer: 21 - What is the value of 7 factorial (7!)?
Answer: 5040 - Which number is known as the 'amicable number' between 220 and 284?
Answer: 220 - What is the sum of the first 100 natural numbers?
Answer: 5050
Statistics & Probability
- What is the mean of the numbers 2, 4, 6, 8, and 10?
Answer: 6 - What is the median of the numbers 1, 3, 5, 7, and 9?
Answer: 5 - What is the mode of the numbers 2, 4, 4, 6, 8?
Answer: 4 - What is the probability of rolling a 3 on a fair six-sided die?
Answer: 1/6 - What is the standard deviation of the numbers 2, 4, 6, 8, and 10?
Answer: 2.83 (approximately) - What is the range of the numbers 5, 10, 15, 20, and 25?
Answer: 20 - In a normal distribution, what percentage of data lies within one standard deviation of the mean?
Answer: Approximately 68% - What is the formula for the variance of a population?
Answer: σ² = Σ(x - μ)² / N - What is the probability of drawing an Ace from a standard deck of 52 playing cards?
Answer: 4/52 or 1/13 - What is the expected value of rolling a fair six-sided die?
Answer: 3.5
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Mathematical History & Mathematicians
- Who is known as the 'Father of Modern Mathematics'?
Answer: René Descartes - Who developed the concept of the Cartesian coordinate system?
Answer: René Descartes - Who is credited with the invention of the abacus?
Answer: The Chinese - Who formulated the laws of motion and universal gravitation?
Answer: Isaac Newton - Who is known for his work on the theory of probability and statistics?
Answer: Pierre-Simon Laplace - Who is known for his work on the theory of numbers and prime numbers?
Answer: Carl Friedrich Gauss - Who is known for his work on the theory of relativity?
Answer: Albert Einstein - Who is known for his work on the theory of sets and infinity?
Answer: Georg Cantor - Who developed the concept of mathematical induction?
Answer: Pierre de Fermat - Who is known for his work on the theory of groups and symmetry?
Answer: Évariste Galois
Calculus & Analysis
- What is the derivative of cos(x)?
Answer: -sin(x) - What is the integral of sin(x)?
Answer: -cos(x) + C - What is the derivative of e^x?
Answer: e^x - What is the derivative of ln(x)?
Answer: 1/x - What is the limit of (1 + 1/n)^n as n approaches infinity?
Answer: e - What does the Fundamental Theorem of Calculus connect?
Answer: Differentiation and integration - What is the second derivative of x³?
Answer: 6x - What is the integral of x^2 dx?
Answer: (x³)/3 + C - What is the derivative of tan(x)?
Answer: sec²(x) - What is the antiderivative of 1/x?
Answer: ln|x| + C - What does ∫ f'(x) dx equal?
Answer: f(x) + C
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Vectors & 3D Geometry
- What is the dot product of two perpendicular vectors?
Answer: 0 - What is the cross product of two parallel vectors?
Answer: Zero vector - What is the magnitude of vector a = 3i + 4j?
Answer: 5 - If two vectors are a = i + 2j and b = 2i + 4j, are they parallel?
Answer: Yes - What is the angle between two identical vectors?
Answer: 0° - Which product (dot or cross) gives a scalar?
Answer: Dot product - Which product (dot or cross) gives a vector?
Answer: Cross product - What is the direction ratio of a line parallel to vector 2i + 3j + 4k?
Answer: 2:3:4 - What is the distance formula between two points in 3D?
Answer: √[(x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²]
Matrices & Determinants
- What is the determinant of a 2x2 matrix \[a,b\[a, b\[a,b, c,dc, dc,d]?
Answer: ad - bc - What is the identity matrix?
Answer: A square matrix with 1’s on the diagonal and 0’s elsewhere - What is the inverse of a matrix A such that A * A⁻¹ = ?
Answer: Identity matrix - When is a matrix non-invertible?
Answer: When its determinant is 0 - What type of matrix has only one row?
Answer: Row matrix - If A is a 2x3 matrix and B is a 3x2 matrix, what will be the order of AB?
Answer: 2x2 - What is the transpose of a matrix?
Answer: Rows become columns and columns become rows - What is a diagonal matrix?
Answer: A matrix with all off-diagonal elements zero - What is the trace of a matrix?
Answer: Sum of diagonal elements - What is the determinant of the identity matrix of order 3?
Answer: 1
Logic & Reasoning in Mathematics
- What does the symbol ⇒ mean in logic?
Answer: Implies - What is a tautology in logic?
Answer: A statement that is always true - What is the contrapositive of “If A, then B”?
Answer: If not B, then not A - What is the negation of “All A are B”?
Answer: Some A are not B - What does the symbol ∀ mean?
Answer: For all - What does the symbol ∃ mean?
Answer: There exists - Which logic gate gives true output only if both inputs are true?
Answer: AND gate - Which logic gate gives true output if either input is true?
Answer: OR gate - What is the truth value of (True AND False)?
Answer: False - What is the result of (True OR False)?
Answer: True
Real-life Applications of Math
- Which mathematical method is used in encryption of digital data?
Answer: Number theory (especially prime numbers) - Which mathematical concept is essential in computer graphics?
Answer: Matrices and vectors - Which mathematical tool is used for predicting weather?
Answer: Differential equations - Which branch of mathematics is used in economics for optimization?
Answer: Calculus - What mathematical principle is used in credit card verification?
Answer: Luhn algorithm - Which mathematical method is used in medical imaging (CT scans)?
Answer: Fourier transforms - Which field of math helps in AI and machine learning?
Answer: Linear algebra - Which mathematical area is used in making Google Maps?
Answer: Graph theory and geometry - Which concept helps in analyzing risk in insurance?
Answer: Probability and statistics - Which branch of math deals with patterns and sequences?
Answer: Algebra
Bonus Rapid-Fire
- Value of i² (imaginary number)?
Answer: -1 - Binary number system base?
Answer: 2 - Is zero an even number?
Answer: Yes - Who developed Boolean algebra?
Answer: George Boole - What is the sum of interior angles of a pentagon?
Answer: 540° - What is 0 factorial (0!)?
Answer: 1 - What is the result of any number raised to the power 0?
Answer: 1 - What is the base-10 logarithm of 1000?
Answer: 3 - Name a number that is both square and cube of an integer.
Answer: 64 (8² = 64, 4³ = 64) - What is the binary equivalent of decimal number 10?
Answer: 1010
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