Examius
🇮🇳 CBSE Class 11 · flashcards
CBSE Class 11 Mathematics Flashcards
50 question-and-answer cards covering Mathematics as it is examined in CBSE Class 11. 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Mathematics deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
State the Binomial Theorem for (a + b)ⁿ.
(a+b)ⁿ = Σ (from r=0 to n) nCr · aⁿ⁻ʳ · bʳ.
What is the general (r+1)th term in the expansion of (a + b)ⁿ?
T(r+1) = nCr · aⁿ⁻ʳ · bʳ.
How many terms are in the expansion of (a + b)ⁿ, and how do you find the middle term(s)?
There are n+1 terms. If n is even, the single middle term is the (n/2 + 1)th term; if n is odd, the two middle terms are the (n+1)/2 th and (n+3)/2 th terms.
State the formula for the nth term of an Arithmetic Progression (AP).
aₙ = a + (n−1)d, where a is the first term and d is the common difference.
State the formula for the sum of the first n terms of an AP.
Sₙ = n/2 [2a + (n−1)d] = n/2 (a + l), where l is the last term.
State the nth term and the sum of n terms of a Geometric Progression (GP).
aₙ = arⁿ⁻¹; Sₙ = a(rⁿ − 1)/(r − 1) for r ≠ 1.
What is the sum to infinity of a GP, and when does it exist?
S∞ = a/(1 − r), valid only when |r| < 1.
Define the Arithmetic Mean (AM) and Geometric Mean (GM) of two numbers a and b, and state the AM-GM inequality.
AM = (a+b)/2; GM = √(ab). For positive a, b: AM ≥ GM.
State the slope (gradient) formula for a line through points (x₁,y₁) and (x₂,y₂).
m = (y₂ − y₁) / (x₂ − x₁).
State the slope-intercept and point-slope forms of a straight line.
Slope-intercept: y = mx + c. Point-slope: y − y₁ = m(x − x₁).
What are the conditions on slopes for two lines to be parallel and perpendicular?
Parallel: m₁ = m₂. Perpendicular: m₁ · m₂ = −1.
State the formula for the distance from a point (x₁,y₁) to the line Ax + By + C = 0.
d = |Ax₁ + By₁ + C| / √(A² + B²).
State the standard equation of a circle with centre (h,k) and radius r.
(x − h)² + (y − k)² = r².
Give the standard equation of a parabola opening rightward and identify its focus and directrix.
y² = 4ax; focus at (a, 0); directrix x = −a.
State the standard equation of an ellipse (a > b) and its eccentricity.
x²/a² + y²/b² = 1; eccentricity e = √(1 − b²/a²), with 0 < e < 1.
State the standard equation of a hyperbola and its eccentricity.
x²/a² − y²/b² = 1; eccentricity e = √(1 + b²/a²), with e > 1.
State the distance formula between two points in 3D space.
d = √[(x₂−x₁)² + (y₂−y₁)² + (z₂−z₁)²].
State the section formula for a point dividing the join of (x₁,y₁,z₁) and (x₂,y₂,z₂) in ratio m:n internally.
((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n), (mz₂+nz₁)/(m+n)).
State the algebra of limits: the limit of a sum, product, and quotient of two functions.
lim(f+g) = lim f + lim g; lim(f·g) = lim f · lim g; lim(f/g) = lim f / lim g (provided lim g ≠ 0).
State the two standard trigonometric limits as x → 0.
lim(x→0) (sin x)/x = 1 and lim(x→0) (1 − cos x)/x = 0.
State the first-principles (limit) definition of the derivative of f(x).
f′(x) = lim(h→0) [f(x+h) − f(x)] / h.
State the power rule, product rule, and quotient rule for derivatives.
Power: d/dx(xⁿ)=n xⁿ⁻¹. Product: (uv)′ = u′v + uv′. Quotient: (u/v)′ = (u′v − uv′)/v².
In mathematical reasoning, what is the negation of a statement, and how do you negate 'p and q' and 'p or q'?
Negation of a statement p reverses its truth value (~p). ~(p and q) = (~p) or (~q); ~(p or q) = (~p) and (~q).
State the formula for variance and standard deviation of n observations (ungrouped data).
Variance σ² = (1/n) Σ(xᵢ − x̄)²; standard deviation σ = √(variance), where x̄ is the mean.
What this deck covers
The Mathematics deck follows the CBSE Class 11 Mathematics syllabus — 6 chapters and 16 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 8.3 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 59 characters, which is long enough to carry the reasoning and short enough to say out loud.
A deck like this earns its keep on the second and third pass. Read the syllabus first so you know the shape of the subject, then use the cards to find the specific facts that have not stuck.
Mathematics flashcards FAQ
How many Mathematics flashcards are in this CBSE Class 11 deck?
50 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these CBSE Class 11 flashcards free?
Yes. The preview here is free to read with no signup, and the full 50-card deck is free inside the Examius app.
What do the Mathematics cards cover?
They follow the CBSE Class 11 Mathematics syllabus — 6 chapters and 16 topics — so the questions track what is actually examinable.
How should I use these flashcards?
Read the syllabus first so you know the shape of the subject, then drill the deck. Examius schedules each card with spaced repetition, so cards you keep missing come back sooner and ones you know drift further apart.