Important Questions for Class 10 Maths – Chapter-wise with Answers & Free PDF

Class 10 maths is a turning point in every student’s academic journey. Practising important questions for class 10 maths helps students revise faster, understand concepts clearly, and score higher in board exams.

Most students don’t struggle because they are weak. Instead, the real problem is not knowing what to practise. As a result, the syllabus feels huge, concepts become confusing, and time starts running out quickly.

When students focus on the right important questions for Class 10 Maths, they revise faster. As a result, you understand better and feel more confident before exams. In this blog, we will share, chapter-wise important questions, exam-focused tips and a free downloadable PDF to help you prepare smartly-not blindly.

Why Solving Important Questions is Key to Scoring High

However, many students read theory repeatedly but avoid solving enough questions. Maths doesn’t improve by reading; Maths improves only through consistent solving.

Additionally, by practising maths important questions for Class 10, students can:

• Improve your speed and accuracy
• Understand which chapters carry more marks
• Identify weak areas early
• Revise the full syllabus effectively

Board exams often repeat patterns; therefore, practising the right questions prevents surprises in the exam hall.
Focus on selected high-weightage questions rather than solving random problems. This approach saves time, builds confidence, and increases marks.

Now, let’s explore the chapter-wise important questions students should practise.

Chapter-Wise Important Questions for Class 10 Maths

Specifically, below are the chapter-wise important question for class 10 maths that students need to practice before their board exams.

Real Numbers Important Questions

Key focus areas:

• Euclid’s Division Lemma problems
• Finding HCF using Euclid’s algorithm
• Proving irrationality (√2, √3, √5)
• Fundamental Theorem of Arithmetic

Important practice:

• Prove that √5 is irrational.
• Find HCF of 306 and 657 using Euclid’s Division Algorithm.

For example, students often lose easy marks here because they forget steps in proofs.

Polynomials Important Questions

Focus on:

• Zeros of a polynomial
• Relationship between zeroes and coefficients
• Division algorithm

Practice:

• Find the zeroes of a quadratic polynomial and verify relationships.
• Divide p(x) by g(x) using polynomial division.

In addition, mistakes usually happen in sign handling. Be careful.

Linear Equations in Two Variables

Important topics:

• Solving by substitution
• Elimination method
• Cross multiplication
• Word problems

Practice:

• Solve: 2x + 3y = 11 and 4x − y = 5
• Form linear equations from word problems.

Moreover, word problems carry good weightage. Read slowly. Translate correctly.

Quadratic Equations Important Questions

Very high-weightage chapter.

Focus on:

• Factorisation method
• Quadratic formula
• Nature of roots using discriminant
• Word problems

Practice:

• Solve: 2x² – 7x + 3 = 0
• Find nature of roots of 4x² + 4x + 1 = 0

As a result, students lose marks due to calculation errors. Therefore, always recheck.

Arithmetic Progression (AP)

Key areas include:

• Finding nth term
• Finding sum of first n terms
• Word problems

Practice:

• Find 20th term of AP: 3, 7, 11…
• Find sum of first 30 natural numbers.

Therefore, AP questions are predictable. Practise enough and you’ll score full marks.

Triangles Important Questions

Key concepts:

• Similarity theorems
• Basic Proportionality Theorem
• Pythagoras theorem and converse

Practice:

• Prove given triangles are similar.
• Use Pythagoras theorem to find unknown sides.

Write statements and reasons properly. Presentation matters.

Trigonometry Important Questions

In fact, students fear this chapter unnecessarily.

Focus on:

• Trigonometric identities
• Values of trigonometric ratios
• Heights and distances

Practice:

• Prove: (1 + tan²θ) = sec²θ
• Find height of a tower using angle of elevation.

Memorise standard values properly. Most mistakes happen there.

Coordinate Geometry

Important areas:

• Distance formula
• Section formula
• Area of triangle

Practice:

• Find distance between (3, 4) and (6, 8).
• Find coordinates dividing line segment in ratio 2:1.

In fact, these are formula-based. Learn formulas and practise application.

Circles Important Questions

Focus on:

• Tangent properties
• Theorem: Tangents from external point

Practice:

• Prove lengths of tangents from an external point are equal.
• Write proofs step-by-step. Don’t skip reasons.

Probability Important Questions

Scoring chapter.

Focus on:

• Classical probability formula
• Finding probability of events

Practice:

• Find probability of getting a tail when tossing a coin.
• Find probability of drawing a red card from a deck.

Keep formula clear:

Probability = Favourable outcomes / Total outcomes

According to previous trends, some chapters carry higher weightage.

Moreover, Most Important Questions for Class 10 Maths Board Exams

Every year few chapters carry more weight. Based on trends, class 10 maths most important questions usually come from:

• Quadratic Equations
• Arithmetic Progression
• Triangles
• Trigonometry
• Probability

Word problems are frequently repeated with small changes. Case-study based questions are also increasing.

If you feel short on time, revise high-weightage chapters first. Then move to moderate ones. Smart preparation beats last-minute panic.

To understand the method clearly, let’s solve one important question step-by-step.

Important Questions with Answers (Practice Section)

Let’s solve one important question of maths class 10 step-by-step.

Question: Solve 2x² – 5x – 3 = 0

Solution:

Step 1: Compare with ax² + bx + c = 0

a = 2, b = -5, c = -3

Step 2: Use quadratic formula

x = [-b ± √(b² – 4ac)] / 2a

Step 3: Substitute values

= [5 ± √(25 + 24)] / 4

= [5 ± √49] / 4

= [5 ± 7] / 4

Step 4: Roots

x = 3 or x = -1/2

Practise similar problems daily. Write steps clearly.

To make things easier, Download Class 10 Maths Important Questions PDF

To make your preparation easier, we’ve compiled a free downloadable worksheet PDF that includes:

Chapter-wise important questions

• Board exam repeated problems
• Practice space for solving
• Answer key

Print it. Solve daily. Track your mistakes.

• Download the Class 10 Maths Important Questions PDF and start structured revision today.

Additionally, How to Use These Questions for Exam Preparation

Many students collect materials but don’t use them properly. Here’s how to use class 10 important questions maths effectively:

• Create a 30-day revision schedule
• Solve one chapter daily
• Practise under time limits
• Analyse mistakes immediately
• Revise weak chapters twice

Don’t just read solutions. Solve with a pen and paper. Consistency matters more than intelligence.

FAQs 

1Q. Which chapter is most important in Class 10 Maths?

Quadratic Equations, Triangles, Trigonometry, and Arithmetic Progression usually carry high marks. But don’t ignore smaller chapters – they are scoring.

2Q. How can I score 90+ in Maths?

Focus on concept clarity. Practise important questions daily. Solve previous year papers. Avoid careless mistakes. Time management is crucial.

3Q. Are NCERT questions enough?

NCERT is the base. Most board questions come from it. But you must also practise additional important questions for class 10 maths to improve speed and application skills.

4Q. How many questions should I practise daily?

Solve at least 25–30 quality questions daily. Focus more on weak chapters.

5Q. I understand concepts but still lose marks. Why?

This usually happens due to calculation errors, poor presentation, or lack of timed practice. Write steps clearly and practise regularly.

Score 90+ in Class 10 Maths with Tutoroot’s Personalised Support

Many students believe they are “not good at Maths.” However, this is not true. Maths is not about talent; it is about practice. With consistent effort, any student can improve and score high marks. If you focus on the right important questions for class 10 maths, revise regularly, and stay consistent, scoring high becomes realistic. Don’t wait for exams to come closer. Start now. Clear your doubts early. Practise daily.

Therefore, practising important questions regularly improves speed and accuracy. Moreover, it helps students identify weak areas early and prepare with confidence.

If your child needs personal guidance, structured revision, and one-to-one doubt solving, explore our online tuition classes designed to support Class 10 students with personalised attention and regular practice.

Book a free 1-to-1 Maths demo class with Tutoroot today.

The right guidance at the right time can change confidence and marks.