अध्याय 4 · Class 10 UP Board · Worksheet

Quadratic Equations Worksheet — Class 10 UP Board Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Questions — Quadratic Equations

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.एक द्विघात समीकरण में चर की अधिकतम घात क्या होती है?

A.1
B.2
C.3
D.0

Difficulty: Easy

Q2.द्विघात समीकरण $2x^2 - 4x + 3 = 0$ के मूलों की प्रकृति क्या है?

A.वास्तविक और भिन्न
B.वास्तविक और समान
C.कोई वास्तविक मूल नहीं
D.परिमेय और भिन्न

Difficulty: Medium

Q3.एक आयताकार खेत का क्षेत्रफल 528 वर्ग मीटर है। खेत की लंबाई (मीटर में) उसकी चौड़ाई के दुगुने से 1 अधिक है। यदि चौड़ाई $x$ मीटर है, तो लंबाई ज्ञात करने के लिए उपयुक्त द्विघात समीकरण क्या है?

A.$2x^2 + x - 528 = 0$
B.$x^2 + 2x - 528 = 0$
C.$2x^2 - x - 528 = 0$
D.$x^2 - 2x + 528 = 0$

Difficulty: Medium

Q4.द्विघात समीकरण $x^2 - 3x - 10 = 0$ के मूल क्या हैं?

A.$x = 5, x = -2$
B.$x = -5, x = 2$
C.$x = 10, x = -1$
D.$x = -10, x = 1$

Difficulty: Medium

Q5.यदि $kx(x - 2) + 6 = 0$ के मूल समान हैं, तो $k$ का मान क्या होगा?

A.6
B.-6
C.3
D.12

Difficulty: Medium

Q6.दो क्रमागत धनात्मक पूर्णांकों का गुणनफल 306 है। यदि पहला पूर्णांक $x$ है, तो इस स्थिति को व्यक्त करने वाला द्विघात समीकरण क्या होगा?

A.$x^2 + x - 306 = 0$
B.$x^2 - x - 306 = 0$
C.$x^2 + x + 306 = 0$
D.$x^2 - x + 306 = 0$

Difficulty: Medium

Q7.द्विघात समीकरण $3x^2 - 5x + 2 = 0$ के मूल ज्ञात करने के लिए द्विघात सूत्र क्या होगा?

A.$x = \frac{5 \pm \sqrt{1}}{6}$
B.$x = \frac{-5 \pm \sqrt{1}}{6}$
C.$x = \frac{5 \pm \sqrt{49}}{6}$
D.$x = \frac{-5 \pm \sqrt{49}}{6}$

Difficulty: Medium

Q8.एक रेलगाड़ी 480 किमी की दूरी एक समान चाल से तय करती है। यदि इसकी चाल 8 किमी/घंटा कम होती, तो वह उसी दूरी को तय करने में 3 घंटे अधिक लेती। रेलगाड़ी की मूल चाल ज्ञात करने के लिए उपयुक्त द्विघात समीकरण क्या है?

A.$x^2 - 8x - 1280 = 0$
B.$x^2 + 8x - 1280 = 0$
C.$x^2 - 8x + 1280 = 0$
D.$x^2 + 8x + 1280 = 0$

Difficulty: Medium

Answer Key — Sample Questions+
Q1:2
Q2:कोई वास्तविक मूल नहीं
Q3:$2x^2 + x - 528 = 0$
Q4:$x = 5, x = -2$
Q5:6
Q6:$x^2 + x - 306 = 0$
Q7:$x = \frac{5 \pm \sqrt{1}}{6}$
Q8:$x^2 - 8x - 1280 = 0$

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

TopicQuadratic Equations
BoardUP Board
Class10
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download a free Quadratic Equations worksheet for Class 10?+
You can download a free Quadratic Equations PDF worksheet for Class 10 UP Board right here on SparkEd. The worksheet includes 30 questions at easy, medium, and hard levels with a complete answer key.
How many questions are in the Quadratic Equations worksheet?+
Each SparkEd worksheet for Quadratic Equations contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.
Does the Quadratic Equations worksheet include answers?+
Yes. Every SparkEd worksheet comes with a separate answer key so students can self-check their work after completing the sheet.

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