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🇮🇳 ICSE Class 9 · subject
ICSE Class 9 Mathematics Syllabus
Every chapter and topic of Mathematics examined in ICSE Class 9 — 1 chapter, 7 topics, plus 50 flashcards written against it.
Mathematics syllabus — full chapter and topic list
Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Mathematics in ICSE Class 9, not a summary of it.
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ICSE Class 9 Mathematics
7 topics- Number System
- Commercial Mathematics
- Algebra
- Geometry
- Mensuration
- Statistics
- Trigonometry
Mathematics flashcards for ICSE Class 9
21 of 50 cards from the Mathematics deck — real questions with worked answers.
What is a rational number?
A number that can be written in the form p/q where p and q are integers and q ≠ 0. Its decimal expansion is either terminating or non-terminating recurring.
What is an irrational number, and give one example?
A number that cannot be written as p/q (q ≠ 0); its decimal expansion is non-terminating and non-recurring. Example: √2 (or π).
How do you rationalise the denominator of 1/(a + √b)?
Multiply numerator and denominator by the conjugate (a − √b): 1/(a + √b) = (a − √b)/(a² − b).
State the laws of exponents for aᵐ × aⁿ, aᵐ ÷ aⁿ, and (aᵐ)ⁿ.
aᵐ × aⁿ = aᵐ⁺ⁿ; aᵐ ÷ aⁿ = aᵐ⁻ⁿ; (aᵐ)ⁿ = aᵐⁿ.
What is the value of a⁰ (a ≠ 0) and a⁻ⁿ?
a⁰ = 1 and a⁻ⁿ = 1/aⁿ.
Express a⁽ᵐ/ⁿ⁾ in radical (surd) form.
a^(m/n) = ⁿ√(aᵐ) = (ⁿ√a)ᵐ.
What is the simple interest formula?
S.I. = (P × R × T)/100, where P = principal, R = rate % per annum, T = time in years.
What is the compound interest amount formula for annual compounding?
A = P(1 + R/100)ⁿ, and C.I. = A − P, where n is the number of years.
How is compound interest calculated when interest is compounded half-yearly?
A = P(1 + R/200)^(2n), i.e. halve the rate and double the number of periods.
What is the formula for the amount under depreciation at rate R% per year?
A = P(1 − R/100)ⁿ, where P is the original value and n is the number of years.
State the identity for (a + b)².
(a + b)² = a² + 2ab + b².
State the identity for (a − b)².
(a − b)² = a² − 2ab + b².
State the identity a² − b².
a² − b² = (a + b)(a − b).
State the expansion of (a + b)³.
(a + b)³ = a³ + 3a²b + 3ab² + b³ = a³ + b³ + 3ab(a + b).
State the expansion of (a − b)³.
(a − b)³ = a³ − 3a²b + 3ab² − b³ = a³ − b³ − 3ab(a − b).
State the identity for (a + b + c)².
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca.
What is the factorisation formula for a³ + b³?
a³ + b³ = (a + b)(a² − ab + b²).
What is the factorisation formula for a³ − b³?
a³ − b³ = (a − b)(a² + ab + b²).
What does the Factor Theorem state?
If p(x) is a polynomial and p(a) = 0, then (x − a) is a factor of p(x); conversely, if (x − a) is a factor, then p(a) = 0.
What does the Remainder Theorem state?
If a polynomial p(x) is divided by (x − a), the remainder is p(a).
What is the degree of a polynomial?
The highest power of the variable in the polynomial. E.g. 3x⁴ − x + 2 has degree 4.
Planning Mathematics for ICSE Class 9
Mathematics is about 14% of the ICSE Class 9 syllabus by topic count — 7 of 49 topics, spread over 1 chapters. At roughly 45 minutes per topic plus 12 minutes per sub-topic, a first pass runs to about 5 hours.
Work top-down: read the chapter, then tick topics off individually rather than marking the whole chapter done. Sub-topics are where silent gaps hide.
Mathematics (ICSE Class 9) FAQ
What is in the ICSE Class 9 Mathematics syllabus?
Mathematics is split into 1 chapter — ICSE Class 9 Mathematics, containing 7 topics and 0 sub-topics in total.
How is Mathematics structured in the ICSE Class 9 syllabus?
1 chapters. Mathematics accounts for about 14% of the topics in the whole ICSE Class 9 syllabus (7 of 49).
How long should I spend on Mathematics for ICSE Class 9?
Budget around 5 hours for a first pass through Mathematics — about 45 minutes per topic plus 12 minutes per sub-topic across its 7 topics. Add revision cycles on top.
Are there flashcards for ICSE Class 9 Mathematics?
Yes — a 50-card Mathematics deck. Sample cards are printed on this page, and the full deck is free in the Examius app with spaced repetition scheduling.