Quiz Category · Mathematics
Mathematics
Arithmetic, algebra, geometry, and logic puzzles.
Sharpen reasoning with a mix of mental-math, problem-solving, and concept-recall questions.
Mathematics on a quiz format is necessarily different from mathematics in a classroom — there is no working space, no partial credit, and a time pressure that rewards mental arithmetic and elimination over careful derivation. The catalog plays to that constraint. Easy rounds focus on quick calculation: percentages, ratios, basic algebra, areas of simple shapes, time-distance-speed at the level a school-leaver should manage in under a minute. Medium rounds raise the floor with quantitative-aptitude staples — profit and loss, simple and compound interest, ages, mixtures, work and time, data interpretation off a small table or chart. Hard rounds reach for the kind of question that turns up in CAT or in the upper end of bank PO exams: number-theory puzzles, geometry that needs a non-obvious construction, sequences and series that look pattern-recognition but require an algebraic step. A smaller subset covers conceptual recall — mathematicians, theorems, historical milestones, the difference between rational and irrational, the named constants. Useful for SSC, banking, CAT, and CLAT aspirants doing speed practice, and for school students who like the format more than the textbook.
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10 questions per round24 mathematics questions with answers
Across easy, medium and hard · reveal each answer to check yourself-
01 What is 5 + 7? easy
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The correct answer is C. 12.
12. Addition is commutative — 5 + 7 and 7 + 5 give the same result — which is why most people learn the smaller set of facts and reverse them as needed.
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02 What is 10 × 5? easy
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The correct answer is C. 50.
50. Multiplying by ten shifts every digit one place left in base ten, so 5 becomes 50 without any arithmetic at all.
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03 What is the square root of 16? easy
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The correct answer is C. 4.
4, since 4 × 4 = 16. Strictly −4 also squares to 16, but the radical sign conventionally denotes the positive root only.
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04 What is 20 ÷ 4? easy
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The correct answer is B. 5.
5. Division asks how many times one number fits into another: 4 goes into 20 exactly five times, with nothing left over.
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05 What is the value of π (pi) approximately? easy
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The correct answer is B. 3.14.
About 3.14159. It is the ratio of any circle's circumference to its diameter, identical for every circle, and irrational — the decimals never repeat or terminate.
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06 What is 15% of 100? easy
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The correct answer is B. 15.
15. Percentages are hundredths, so a percentage of 100 is always just the number itself — which makes 100 a useful anchor for estimating other cases.
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07 What is a triangle with all equal sides called? easy
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The correct answer is B. Equilateral.
Equilateral. Equal sides force equal angles, so all three measure 60°. A triangle with exactly two equal sides is isosceles; with none, scalene.
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08 What is 2³? easy
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The correct answer is C. 8.
8 — that is 2 × 2 × 2. The exponent counts how many times the base is multiplied by itself, not what it is multiplied by.
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09 What is the derivative of x²? medium
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The correct answer is B. 2x.
2x, by the power rule: bring the exponent down as a coefficient and reduce it by one. It gives the slope of the curve at any point, so at x = 3 the tangent has slope 6.
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10 What is the formula for the area of a circle? medium
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The correct answer is B. πr².
πr². It follows from slicing a circle into thin wedges and rearranging them into an approximate rectangle of height r and width half the circumference, giving r × πr.
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11 What is the value of sin(90°)? medium
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The correct answer is C. 1.
1, the maximum sine can reach. On the unit circle, sine is the vertical coordinate, and at 90° the point sits directly above the centre at height 1.
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12 What is the sum of angles in a triangle? medium
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The correct answer is B. 180°.
180° in flat (Euclidean) geometry. On a curved surface this fails — a triangle drawn on a sphere sums to more than 180°, which is how you can detect curvature from inside a space.
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13 What is the Pythagorean theorem? medium
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The correct answer is B. a² + b² = c².
a² + b² = c², relating the two shorter sides of a right triangle to the hypotenuse. It only holds for right triangles; other triangles need the law of cosines, which reduces to this when the angle is 90°.
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14 What is log₁₀(100)? medium
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The correct answer is B. 2.
2, because 10² = 100. A logarithm asks what exponent turns the base into the number, which is why log scales compress huge ranges into readable ones.
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15 What is the quadratic formula? medium
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The correct answer is A. x = (-b ± √(b² - 4ac)) / 2a.
x = (−b ± √(b² − 4ac)) / 2a, solving any equation of the form ax² + bx + c = 0. The bracketing matters: the whole numerator is divided by 2a, not just the square root. The b² − 4ac part is the discriminant, and its sign tells you whether there are two real roots, one, or none.
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16 What is the integral of 1/x? medium
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The correct answer is B. ln|x|.
ln|x| + C. The absolute value matters because 1/x is defined for negative x too, while the logarithm alone is not.
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17 What is the Riemann Hypothesis about? hard
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The correct answer is B. Complex zeros of the zeta function.
It conjectures that every non-trivial zero of the Riemann zeta function has real part exactly ½. It matters because those zeros govern how irregularly the prime numbers are distributed. Still unproven, and one of the Millennium Prize Problems.
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18 What is Euler's identity? hard
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The correct answer is A. e^(iπ) + 1 = 0.
e^(iπ) + 1 = 0, linking five fundamental constants — e, i, π, 1 and 0 — in a single equation. It is a special case of Euler's formula, e^(ix) = cos x + i sin x, evaluated at x = π.
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19 What is the solution to the Basel problem? hard
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The correct answer is B. π²/6.
π²/6. The problem asked for the sum of the reciprocals of all squares, and stood for 90 years until Euler solved it in 1735. The appearance of π in a question about integers was the surprise.
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20 What is a Möbius strip? hard
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The correct answer is B. A non-orientable surface with one side.
A surface with only one side and one edge, made by half-twisting a strip and joining the ends. Cutting it lengthwise down the middle produces one longer loop rather than two separate ones.
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21 What is the Fourier Transform used for? hard
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The correct answer is B. Converting time domain to frequency domain.
Decomposing a signal into the frequencies it contains — moving from the time domain to the frequency domain. It underpins audio compression, image formats like JPEG, and most signal processing.
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22 What is the cardinality of the set of real numbers? hard
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The correct answer is C. 2^ℵ₀.
2^ℵ₀, strictly larger than the cardinality of the integers. Cantor's diagonal argument shows no list can contain every real number, so infinities come in different sizes.
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23 What is Fermat's Last Theorem? hard
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The correct answer is A. No three positive integers satisfy a^n + b^n = c^n for n > 2.
No three positive integers satisfy aⁿ + bⁿ = cⁿ for any n greater than 2. Fermat claimed a proof in a margin in 1637; it went unproven until Andrew Wiles finished one in 1995.
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24 What is the dimension of a fractal object like the Mandelbrot set boundary? hard
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The correct answer is C. Non-integer (fractal).
Non-integer. The Mandelbrot set's boundary has Hausdorff dimension 2 — it is so intricate it effectively fills area despite being a curve. Fractal dimension measures how detail scales, so it need not be a whole number.
The full mathematics pool runs to 300 questions — 100 questions per difficulty across easy, medium and hard. Each round you play is shuffled fresh, so the same ten never come up twice in a row. Pick a difficulty above to start a timed round, or scroll on for related categories.
Frequently asked questions
About the mathematics quiz- What kinds of maths questions are in the quiz?
- Arithmetic, basic algebra, geometry, number theory, mathematical history, well-known constants and theorems, famous mathematicians, and applied maths in physics and computing.
- Are calculation-heavy questions included?
- Some — at easy difficulty, basic arithmetic and quick algebra. The format favours conceptual and factual recall over heavy calculation.
- Is this useful for competitive exam quant prep?
- No — quantitative aptitude sections of bank/SSC exams need specific drill (time-work-distance, percentage problems). This category is for general mathematical knowledge, not aptitude.
- Are famous proofs or theorems covered?
- Yes — Pythagoras, Fermat's last theorem, the Riemann hypothesis, the Four Colour theorem, and other well-known results from mathematical history appear at medium and hard.