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🇮🇳 ICSE Class 9 · flashcards
ICSE Class 9 Mathematics Flashcards
50 question-and-answer cards covering Mathematics as it is examined in ICSE Class 9. 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 Mid-Point Theorem.
The line segment joining the midpoints of two sides of a triangle is parallel to the third side and equal to half of it.
What is the sum of the interior angles of a polygon with n sides?
(n − 2) × 180°.
What is the sum of the exterior angles of any convex polygon?
360°, regardless of the number of sides.
State the angle sum property of a triangle.
The sum of the three interior angles of a triangle is 180°.
What are the key properties of a parallelogram?
Opposite sides are equal and parallel, opposite angles are equal, and the diagonals bisect each other.
How does a rhombus differ from a parallelogram?
A rhombus is a parallelogram with all four sides equal, and its diagonals bisect each other at right angles.
What is the area of a triangle given base b and height h?
Area = ½ × b × h.
State Heron's formula for the area of a triangle with sides a, b, c.
Area = √[s(s−a)(s−b)(s−c)], where s = (a + b + c)/2 is the semi-perimeter.
What is the area of an equilateral triangle of side a?
Area = (√3/4)a².
What is the area and circumference of a circle of radius r?
Area = πr²; Circumference = 2πr.
What is the area of a trapezium with parallel sides a and b and height h?
Area = ½ × (a + b) × h.
What is the curved surface area and total surface area of a right circular cylinder?
CSA = 2πrh; TSA = 2πr(h + r).
What is the volume of a right circular cylinder?
Volume = πr²h.
What is the area of a rectangle and its diagonal?
Area = length × breadth; Diagonal = √(l² + b²).
How do you find the mean of ungrouped data?
Mean = (sum of all observations)/(number of observations) = Σx / n.
What is the median of a data set, and how is it found?
The middle value when data is arranged in order. For n odd it is the ((n+1)/2)th term; for n even it is the average of the (n/2)th and (n/2 + 1)th terms.
What is the mode of a data set?
The observation that occurs most frequently in the data.
What is the range of a data set?
Range = largest observation − smallest observation.
Define the six trigonometric ratios in terms of a right triangle.
sin θ = opp/hyp, cos θ = adj/hyp, tan θ = opp/adj, cosec θ = hyp/opp, sec θ = hyp/adj, cot θ = adj/opp.
State the fundamental trigonometric identity relating sin and cos.
sin²θ + cos²θ = 1.
State the identity involving sec and tan.
sec²θ − tan²θ = 1, i.e. 1 + tan²θ = sec²θ.
State the identity involving cosec and cot.
cosec²θ − cot²θ = 1, i.e. 1 + cot²θ = cosec²θ.
Give the values of sin, cos, and tan for 0°, 30°, 45°, 60°, and 90°.
sin: 0, ½, 1/√2, √3/2, 1. cos: 1, √3/2, 1/√2, ½, 0. tan: 0, 1/√3, 1, √3, undefined.
What are the reciprocal relationships among the trigonometric ratios?
cosec θ = 1/sin θ; sec θ = 1/cos θ; cot θ = 1/tan θ; and tan θ = sin θ/cos θ.
What this deck covers
The Mathematics deck follows the ICSE Class 9 Mathematics syllabus — 1 chapters and 7 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 50.0 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 58 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 ICSE Class 9 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 ICSE Class 9 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 ICSE Class 9 Mathematics syllabus — 1 chapters and 7 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.