Tamil Nadu Class 9 Maths Question Bank — Samacheer Kalvi
Comprehensive question bank for Class 9 Maths Samacheer Kalvi covering all chapters with 1-mark, 3-mark, and 5-mark questions sorted by chapter.
Updated 11 May 20264 min read
Chapter 1 — Set Language
1 Mark: Define power set.
State De Morgan's Law.
If n(A) = 5, n(B) = 3, n(A ∩ B) = 2, find n(A ∪ B).
What is a disjoint set?
Write the complement of A = {vowels} in U = {a-z}.
3 Marks: Find A △ B for A = {1,2,3,4} and B = {3,4,5,6}.
In a group of 60 people, 35 own a bike, 20 own a car, 10 own both. Find those owning at least one vehicle.
Draw and shade A' ∩ B on a Venn diagram.
5 Marks: In a survey of 200 students: 120 like maths, 90 like science, 60 like both. Using Venn diagram, find those liking only maths, only science, neither, and at least one subject.
Chapter 2 — Real Numbers
1 Mark: Is √25 rational or irrational?
State one law of surds.
Simplify: 3√3 × 2√3.
What is the decimal expansion of 1/3?
Find the order of ⁵√8.
3 Marks: Rationalise: 4/(√7 + √3).
Simplify: 2√18 − 3√8 + √50.
Prove that √7 is irrational.
5 Marks: Represent √10 on the number line using geometric construction.
Trigonometry 3 Marks: Prove: sin A/(1+cos A) + (1+cos A)/sin A = 2 cosec A.
If sec θ = 17/8, find all other ratios.
Mensuration 1 Mark: TSA of hemisphere with r = 5 cm.
Volume of cone formula.
Slant height when r = 5, h = 12.
Mensuration 3 Marks: A sphere has surface area 154 cm². Find its radius and volume.
A cone and cylinder have equal base and height. Find ratio of volumes.
Statistics 1 Mark: Mode of 3,5,3,7,9,3,8.
Mean of 2,4,6,8,10.
State empirical formula.
Probability 1 Mark: P(impossible event).
P(certain event).
P(getting 5 on a die).
Frequently Asked Questions
Aim for at least 5 one-mark, 3 three-mark, and 2 five-mark questions per chapter. For Geometry, practise all proofs at least once. For numericals (Mensuration, Statistics, Trigonometry), practise at least 5 problems per chapter.
