{"id":6154,"date":"2026-02-17T17:56:00","date_gmt":"2026-02-17T12:26:00","guid":{"rendered":"https:\/\/www.tutoroot.com\/blog\/?p=6154"},"modified":"2026-02-19T11:53:49","modified_gmt":"2026-02-19T06:23:49","slug":"important-questions-class-10-maths","status":"publish","type":"post","link":"https:\/\/www.tutoroot.com\/blog\/important-questions-class-10-maths\/","title":{"rendered":"Important Questions for Class 10 Maths \u2013 Chapter-wise with Answers &#038; Free PDF"},"content":{"rendered":"<p>Class 10 maths is a turning point in every student\u2019s academic journey. Practising important questions for class 10 maths helps students revise faster, understand concepts clearly, and score higher in board exams.<\/p>\n<p>Most students don\u2019t 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.<\/p>\n<p><strong data-start=\"1735\" data-end=\"1898\">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<\/strong>. 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.<\/p>\n<h2><strong>Why Solving Important Questions is Key to Scoring High<\/strong><\/h2>\n<p>However, many students read theory repeatedly but avoid solving enough questions. Maths doesn\u2019t improve by reading; Maths improves only through consistent solving.<\/p>\n<p>Additionally, by practising maths important questions for Class 10, students can:<\/p>\n<ul>\n<li>Improve your speed and accuracy<\/li>\n<li>Understand which chapters carry more marks<\/li>\n<li>Identify weak areas early<\/li>\n<li>Revise the full syllabus effectively<\/li>\n<\/ul>\n<p>Board exams often repeat patterns; therefore, practising the right questions prevents surprises in the exam hall.<br \/>\nFocus on selected high-weightage questions rather than solving random problems. This approach saves time, builds confidence, and increases marks.<\/p>\n<p>Now, let\u2019s explore the chapter-wise important questions students should practise.<\/p>\n<h2><strong>Chapter-Wise Important Questions for Class 10 Maths<\/strong><\/h2>\n<p>Specifically, below are the chapter-wise important question for class 10 maths that students need to practice before their board exams.<\/p>\n<h3><strong>Real Numbers Important Questions<\/strong><\/h3>\n<p><strong>Key focus areas:<\/strong><\/p>\n<ul>\n<li>Euclid\u2019s Division Lemma problems<\/li>\n<li>Finding HCF using Euclid\u2019s algorithm<\/li>\n<li>Proving irrationality (\u221a2, \u221a3, \u221a5)<\/li>\n<li>Fundamental Theorem of Arithmetic<\/li>\n<\/ul>\n<p><strong>Important practice:<\/strong><\/p>\n<ul>\n<li>Prove that \u221a5 is irrational.<\/li>\n<li>Find HCF of 306 and 657 using Euclid\u2019s Division Algorithm.<\/li>\n<\/ul>\n<p>For example, students often lose easy marks here because they forget steps in proofs.<\/p>\n<h3><strong>Polynomials Important Questions<\/strong><\/h3>\n<p><strong>Focus on:<\/strong><\/p>\n<ul>\n<li>Zeros of a polynomial<\/li>\n<li>Relationship between zeroes and coefficients<\/li>\n<li>Division algorithm<\/li>\n<\/ul>\n<p><strong>Practice:<\/strong><\/p>\n<ul>\n<li>Find the zeroes of a quadratic polynomial and verify relationships.<\/li>\n<li>Divide p(x) by g(x) using polynomial division.<\/li>\n<\/ul>\n<p>In addition, mistakes usually happen in sign handling. Be careful.<\/p>\n<h3><strong>Linear Equations in Two Variables<\/strong><\/h3>\n<p><strong>Important topics:<\/strong><\/p>\n<ul>\n<li>Solving by substitution<\/li>\n<li>Elimination method<\/li>\n<li>Cross multiplication<\/li>\n<li>Word problems<\/li>\n<\/ul>\n<p><strong>Practice:<\/strong><\/p>\n<ul>\n<li>Solve: 2x + 3y = 11 and 4x \u2212 y = 5<\/li>\n<li>Form linear equations from word problems.<\/li>\n<\/ul>\n<p>Moreover, word problems carry good weightage. Read slowly. Translate correctly.<\/p>\n<h3><strong>Quadratic Equations Important Questions<\/strong><\/h3>\n<p>Very high-weightage chapter.<\/p>\n<p><strong>Focus on:<\/strong><\/p>\n<ul>\n<li>Factorisation method<\/li>\n<li>Quadratic formula<\/li>\n<li>Nature of roots using discriminant<\/li>\n<li>Word problems<\/li>\n<\/ul>\n<p><strong>Practice:<\/strong><\/p>\n<ul>\n<li>Solve: 2x\u00b2 \u2013 7x + 3 = 0<\/li>\n<li>Find nature of roots of 4x\u00b2 + 4x + 1 = 0<\/li>\n<\/ul>\n<p>As a result, students lose marks due to calculation errors. Therefore, always recheck.<\/p>\n<h3><strong>Arithmetic Progression (AP)<\/strong><\/h3>\n<p><strong>Key areas include:<\/strong><\/p>\n<ul>\n<li>Finding nth term<\/li>\n<li>Finding sum of first n terms<\/li>\n<li>Word problems<\/li>\n<\/ul>\n<p><strong>Practice:<\/strong><\/p>\n<ul>\n<li>Find 20th term of AP: 3, 7, 11\u2026<\/li>\n<li>Find sum of first 30 natural numbers.<\/li>\n<\/ul>\n<p>Therefore, AP questions are predictable. Practise enough and you\u2019ll score full marks.<\/p>\n<h3><strong>Triangles Important Questions<\/strong><\/h3>\n<p><strong>Key concepts:<\/strong><\/p>\n<ul>\n<li>Similarity theorems<\/li>\n<li>Basic Proportionality Theorem<\/li>\n<li>Pythagoras theorem and converse<\/li>\n<\/ul>\n<p><strong>Practice:<\/strong><\/p>\n<ul>\n<li>Prove given triangles are similar.<\/li>\n<li>Use Pythagoras theorem to find unknown sides.<\/li>\n<\/ul>\n<p>Write statements and reasons properly. Presentation matters.<\/p>\n<h3><strong>Trigonometry Important Questions<\/strong><\/h3>\n<p>In fact, students fear this chapter unnecessarily.<\/p>\n<p><strong>Focus on:<\/strong><\/p>\n<ul>\n<li>Trigonometric identities<\/li>\n<li>Values of trigonometric ratios<\/li>\n<li>Heights and distances<\/li>\n<\/ul>\n<p><strong>Practice:<\/strong><\/p>\n<ul>\n<li>Prove: (1 + tan\u00b2\u03b8) = sec\u00b2\u03b8<\/li>\n<li>Find height of a tower using angle of elevation.<\/li>\n<\/ul>\n<p>Memorise standard values properly. Most mistakes happen there.<\/p>\n<h3><strong>Coordinate Geometry<\/strong><\/h3>\n<p><strong>Important areas:<\/strong><\/p>\n<ul>\n<li>Distance formula<\/li>\n<li>Section formula<\/li>\n<li>Area of triangle<\/li>\n<\/ul>\n<p><strong>Practice:<\/strong><\/p>\n<ul>\n<li>Find distance between (3, 4) and (6, 8).<\/li>\n<li>Find coordinates dividing line segment in ratio 2:1.<\/li>\n<\/ul>\n<p>In fact, these are formula-based. Learn formulas and practise application.<\/p>\n<h3><strong>Circles Important Questions<\/strong><\/h3>\n<p><strong>Focus on:<\/strong><\/p>\n<ul>\n<li>Tangent properties<\/li>\n<li>Theorem: Tangents from external point<\/li>\n<\/ul>\n<p><strong>Practice:<\/strong><\/p>\n<ul>\n<li>Prove lengths of tangents from an external point are equal.<\/li>\n<li>Write proofs step-by-step. Don\u2019t skip reasons.<\/li>\n<\/ul>\n<h3><strong>Probability Important Questions<\/strong><\/h3>\n<p>Scoring chapter.<\/p>\n<p><strong>Focus on:<\/strong><\/p>\n<ul>\n<li>Classical probability formula<\/li>\n<li>Finding probability of events<\/li>\n<\/ul>\n<p><strong>Practice:<\/strong><\/p>\n<ul>\n<li>Find probability of getting a tail when tossing a coin.<\/li>\n<li>Find probability of drawing a red card from a deck.<\/li>\n<\/ul>\n<p><strong>Keep formula clear:<\/strong><\/p>\n<p>Probability = Favourable outcomes \/ Total outcomes<\/p>\n<p>According to previous trends, some chapters carry higher weightage.<\/p>\n<h2><strong>Moreover, Most Important Questions for Class 10 Maths Board Exams<\/strong><\/h2>\n<p>Every year few chapters carry more weight. Based on trends, <strong>class 10 maths most important questions<\/strong> usually come from:<\/p>\n<ul>\n<li>Quadratic Equations<\/li>\n<li>Arithmetic Progression<\/li>\n<li>Triangles<\/li>\n<li>Trigonometry<\/li>\n<li>Probability<\/li>\n<\/ul>\n<p>Word problems are frequently repeated with small changes. Case-study based questions are also increasing.<\/p>\n<p>If you feel short on time, revise high-weightage chapters first. Then move to moderate ones. Smart preparation beats last-minute panic.<\/p>\n<p>To understand the method clearly, let\u2019s solve one important question step-by-step.<\/p>\n<h2><strong>Important Questions with Answers (Practice Section)<\/strong><\/h2>\n<p>Let\u2019s solve one <strong>important question of maths class 10 <\/strong>step-by-step.<\/p>\n<p><strong>Question: Solve 2x\u00b2 \u2013 5x \u2013 3 = 0<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>Step 1:<\/strong> Compare with ax\u00b2 + bx + c = 0<\/p>\n<p>a = 2, b = -5, c = -3<\/p>\n<p><strong>Step 2:<\/strong> Use quadratic formula<\/p>\n<p>x = [-b \u00b1 \u221a(b\u00b2 &#8211; 4ac)] \/ 2a<\/p>\n<p><strong>Step 3:<\/strong> Substitute values<\/p>\n<p>= [5 \u00b1 \u221a(25 + 24)] \/ 4<\/p>\n<p>= [5 \u00b1 \u221a49] \/ 4<\/p>\n<p>= [5 \u00b1 7] \/ 4<\/p>\n<p><strong>Step 4:<\/strong> Roots<\/p>\n<p>x = 3 or x = -1\/2<\/p>\n<p>Practise similar problems daily. Write steps clearly.<\/p>\n<h2><strong>To make things easier, Download Class 10 Maths Important Questions PDF<\/strong><\/h2>\n<p>To make your preparation easier, we\u2019ve compiled a free downloadable worksheet PDF that includes:<\/p>\n<h3><strong>Chapter-wise important questions<\/strong><\/h3>\n<ul>\n<li>Board exam repeated problems<\/li>\n<li>Practice space for solving<\/li>\n<li>Answer key<\/li>\n<\/ul>\n<p>Print it. Solve daily. Track your mistakes.<\/p>\n<ul>\n<li>Download the Class 10 Maths Important Questions PDF and start structured revision today.<\/li>\n<\/ul>\n<h3><strong>Additionally, How to Use These Questions for Exam Preparation<\/strong><\/h3>\n<p>Many students collect materials but don\u2019t use them properly. Here\u2019s how to use <strong>class 10 important questions maths<\/strong> effectively:<\/p>\n<ul>\n<li>Create a 30-day revision schedule<\/li>\n<li>Solve one chapter daily<\/li>\n<li>Practise under time limits<\/li>\n<li>Analyse mistakes immediately<\/li>\n<li>Revise weak chapters twice<\/li>\n<\/ul>\n<p>Don\u2019t just read solutions. Solve with a pen and paper. Consistency matters more than intelligence.<\/p>\n<h2><strong>FAQs\u00a0<\/strong><\/h2>\n<h3><strong>1Q. Which chapter is most important in Class 10 Maths?<\/strong><\/h3>\n<p>Quadratic Equations, Triangles, Trigonometry, and Arithmetic Progression usually carry high marks. But don\u2019t ignore smaller chapters &#8211; they are scoring.<\/p>\n<h3><strong>2Q. How can I score 90+ in Maths?<\/strong><\/h3>\n<p>Focus on concept clarity. Practise important questions daily. Solve previous year papers. Avoid careless mistakes. Time management is crucial.<\/p>\n<h3><strong>3Q. Are NCERT questions enough?<\/strong><\/h3>\n<p>NCERT is the base. Most board questions come from it. But you must also practise additional <strong>important questions for class 10 maths<\/strong> to improve speed and application skills.<\/p>\n<h3><strong>4Q. How many questions should I practise daily?<\/strong><\/h3>\n<p>Solve at least 25\u201330 quality questions daily. Focus more on weak chapters.<\/p>\n<h3><strong>5Q. I understand concepts but still lose marks. Why?<\/strong><\/h3>\n<p>This usually happens due to calculation errors, poor presentation, or lack of timed practice. Write steps clearly and practise regularly.<\/p>\n<h2><strong>Score 90+ in Class 10 Maths with Tutoroot\u2019s Personalised Support<\/strong><\/h2>\n<p>Many students believe they are \u201cnot good at Maths.\u201d 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 <strong>important questions for class 10 maths<\/strong>, revise regularly, and stay consistent, scoring high becomes realistic. Don\u2019t wait for exams to come closer. Start now. Clear your doubts early. Practise daily.<\/p>\n<p>Therefore, practising important questions regularly improves speed and accuracy. Moreover, it helps students identify weak areas early and prepare with confidence.<\/p>\n<p><a href=\"https:\/\/www.tutoroot.com\/maths-online-tuition\"><img loading=\"lazy\" class=\"alignnone wp-image-6170 size-large\" src=\"https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2026\/02\/score-90-plus-class-10-maths-tutoroot-personalised-support.png-1024x576.png\" alt=\"Score 90+ in Class 10 Maths with Tutoroot personalised online tuition \u2014 book a free demo\" width=\"1024\" height=\"576\" srcset=\"https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2026\/02\/score-90-plus-class-10-maths-tutoroot-personalised-support.png-1024x576.png 1024w, https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2026\/02\/score-90-plus-class-10-maths-tutoroot-personalised-support.png-300x169.png 300w, https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2026\/02\/score-90-plus-class-10-maths-tutoroot-personalised-support.png-768x432.png 768w, https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2026\/02\/score-90-plus-class-10-maths-tutoroot-personalised-support.png-1536x864.png 1536w, https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2026\/02\/score-90-plus-class-10-maths-tutoroot-personalised-support.png-2048x1152.png 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/a><\/p>\n<p>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.<\/p>\n<p><a href=\"https:\/\/www.tutoroot.com\/maths-online-tuition\"><strong>Book a free 1-to-1 Maths demo<\/strong> <\/a>class with Tutoroot today.<\/p>\n<p>The right guidance at the right time can change confidence and marks.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Class 10 maths is a turning point in every student\u2019s academic journey. Practising important questions for class 10 maths helps students revise faster, understand concepts clearly, and score higher in &hellip; <a href=\"https:\/\/www.tutoroot.com\/blog\/important-questions-class-10-maths\/\" class=\"more-link\">Read More<\/a><\/p>\n","protected":false},"author":12,"featured_media":6169,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[15,1],"tags":[668,670,669,666,667],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>important questions for class 10 maths<\/title>\n<meta name=\"description\" content=\"Practice important questions for class 10 maths chapter-wise. 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