Tamil Nadu Class 10 Maths Question Bank

How to Use This Question Bank

Maths improves only when sums are written. Use this page after revising each chapter guide. Keep a mistake notebook for wrong signs, missed formulae, and incomplete steps.

Formula Recall

• Write the nth term formula of an AP.
• Write the sum formula of an AP.
• Write distance formula.
• Write midpoint formula.
• Write slope formula.
• Write three trigonometric identities.
• Write volume of cylinder, cone, and sphere.
• Write probability formula.

Two-Mark Practice

Relations and Functions

• Find domain and range from ordered pairs.
• Decide whether a relation is a function.

Numbers and Sequences

• Find HCF using Euclid algorithm.
• Find the 10th term of an AP.

Algebra

• Simplify using identities.
• Factorise a quadratic expression.

Geometry

• State a theorem and identify the required proof step.
• Write construction steps for a given diagram.

Coordinate Geometry

• Find distance between two points.
• Find slope of a line.

Trigonometry

• Find trigonometric ratios from a right triangle.
• Simplify using identities.

Mensuration

• Find curved surface area of a cone.
• Find volume of a cylinder.

Statistics and Probability

• Find mean of simple data.
• Find probability of an event.

Five-Mark Practice

• Solve an AP word problem.
• Solve a quadratic equation by factorisation.
• Prove a geometry theorem with diagram and reasons.
• Find area of triangle using coordinate geometry.
• Solve a height and distance problem.
• Solve a combined mensuration problem.
• Find mean from a frequency table.
• Solve a probability problem with clear outcome count.

Presentation Rules

1. Write formula before substitution. 2. Do not skip algebra steps. 3. Draw diagrams large enough. 4. Use correct units in mensuration. 5. Box the final answer if your teacher allows.

Revision Checklist

• Formula sheet completed
• Theorems revised
• Graph and construction practice done
• Mensuration units checked
• Wrong sums reattempted