Select Medium:

🇬🇧 English Medium Active 🇮🇳 मराठी माध्यम

Maharashtra State Board (MSBSHSE) Class VI Mathematics Set 01 (Foundation Level) English Medium 100% Free Practice Test

Maharashtra State Board (MSBSHSE) Class VI Mathematics: HCF and LCM Online Test (Set 01 (Foundation Level)) | TargetExams

HCF and LCM — Set 01 (Foundation Level)

Take free online mock test for Maharashtra State Board (MSBSHSE) Class VI Mathematics chapter 'HCF and LCM'. 20 MCQs, 20 minutes, detailed solutions & score analysis.

📝

20 MCQs

Questions

⏱️

20 Mins

Duration

🎯

20 Marks

Total Marks

➕

+1.0

Per Correct

🛡️

0.0

Negative Mark

🌐

English

Language

Start Test Now (English Medium)

Instant Scorecard Step-by-Step Solutions MSBSHSE Pattern

Chapter Study Guide & In-Depth Notes

Master the key concepts, vocabulary, and high-yield questions before starting the test.

3 Sections

Chapter Overview & Mathematical Foundations: HCF and LCM

Class 6 Mathematics Guide

Mastering HCF and LCM in Class 6 Mathematics requires a clear understanding of core mathematical definitions, standard algebraic or geometric formulas, deductive proofs, and computational algorithms.

In school term exams and competitive assessments (Olympiads, NTSE, and JEE Foundation), questions from HCF and LCM assess calculation speed, accuracy with signs/units, and the ability to eliminate distractor options under timed conditions.

Core Moral & Key Takeaway:

Consistent formula revision combined with structured practice of solved numerical problems guarantees complete conceptual mastery and exam confidence.

Core Formulas, Theorems & Algebraic Laws

Formula Sheet & Properties

Term / Formula	Type	Definition / Meaning	Explanation / Notes	Example / Usage
Governing Formula	Rule	Primary mathematical law applied in HCF and LCM.	HCF and LCM का मुख्य गणितीय सूत्र	"Apply the governing theorem of HCF and LCM accurately."
Analytical Deduction	Method	Deriving logical mathematical steps from given conditions.	तार्किक गणितीय चरण	"Maintain step-by-step clarity during calculation."
Sign & Unit Precision	Convention	Strict adherence to mathematical signs (+/-) and SI units.	चिन्ह व इकाई की शुद्धता	"Double-check signs before locking the final option."

Key Features & Devices Explored:

BODMAS / Operational Order

Always execute parentheses, exponents, multiplication, division, addition, and subtraction in sequence.

Distractor Elimination

Identify mathematically absurd or extreme values to eliminate 2 options immediately.

High-Yield Revision Points & Solved Board Exam Q&A

Maths Revision Notes

⚡ High-Yield Exam Takeaways:

Memorize all core definitions, formulas, and standard identities of HCF and LCM.
Pay close attention to boundary values, domain restrictions, and unit conversions.
Attempt Foundation Set 01 to verify basics, followed by Advanced Set 02 for competitive excellence.

Frequently Asked Questions & Model Answers:

Q1 What is the best method to solve numerical MCQs in HCF and LCM without errors?

Answer: Read the question carefully to identify given values and what is required, apply the standard formula directly, verify algebraic signs, and avoid guessing.

Sample Questions Preview

Free Sneak Peek

Here is a sneak peek of the questions included in this test set. Test your preparation by viewing the answer and detailed explanation before starting the timed exam.

In the chapter 'HCF and LCM of Algebraic Expressions', what is the primary mathematical principle regarding fundamental definitions and standard properties (Foundation Level)?

अध्याय 'बीजगणितीय अभिव्यक्तियों का एचसीएफ और एलसीएम' में, मौलिक परिभाषाओं और मानक गुणों (आधार स्तर) के संबंध में प्राथमिक गणितीय सिद्धांत क्या है?

Applying fundamental theorem strictly satisfying all boundary conditions and standard identitiesसभी सीमा शर्तों और मानक पहचानों को सख्ती से संतुष्ट करते हुए मौलिक प्रमेय को लागू करना

Arbitrary assumption without mathematical proofगणितीय प्रमाण के बिना मनमानी धारणा

Negation of standard algebraic symmetryमानक बीजगणितीय समरूपता का निषेध

Constant value zero under all real coordinatesसभी वास्तविक निर्देशांकों के अंतर्गत स्थिर मान शून्य

Correct Answer: Option A

Explanation:

In 'HCF and LCM of Algebraic Expressions', fundamental definitions and standard properties is rigorously formulated via Applying fundamental theorem.

'बीजगणितीय अभिव्यक्तियों के एचसीएफ और एलसीएम' में, मौलिक परिभाषाओं और मानक गुणों को मौलिक प्रमेय को लागू करके कठोरता से तैयार किया जाता है।

In the chapter 'HCF and LCM of Algebraic Expressions', what is the primary mathematical principle regarding algebraic simplification and canonical formula (Foundation Level)?

अध्याय 'बीजगणितीय अभिव्यक्तियों का एचसीएफ और एलसीएम' में, बीजगणितीय सरलीकरण और विहित सूत्र (नींव स्तर) के संबंध में प्राथमिक गणितीय सिद्धांत क्या है?

Formula evaluation strictly satisfying all boundary conditions and standard identitiesफॉर्मूला मूल्यांकन सभी सीमा शर्तों और मानक पहचानों को सख्ती से संतुष्ट करता है

Arbitrary assumption without mathematical proofगणितीय प्रमाण के बिना मनमानी धारणा

Negation of standard algebraic symmetryमानक बीजगणितीय समरूपता का निषेध

Constant value zero under all real coordinatesसभी वास्तविक निर्देशांकों के अंतर्गत स्थिर मान शून्य

Correct Answer: Option A

Explanation:

In 'HCF and LCM of Algebraic Expressions', algebraic simplification and canonical formula is rigorously formulated via Formula evaluation.

'बीजगणितीय अभिव्यक्तियों के एचसीएफ और एलसीएम' में, सूत्र मूल्यांकन के माध्यम से बीजगणितीय सरलीकरण और विहित सूत्र को कठोरता से तैयार किया जाता है।

How Chapter-Wise Online CBT Tests Build Winning Habits for Future Competitive Exams

Early practice in middle school builds the mental muscle, speed, and analytical discipline required to ace NTSE, Olympiads, JNVST, Sainik School, and Future Competitive Exams.

Competitive Edge

Real-Time Clock Awareness & Pacing

समय प्रबंधन एवं गति नियंत्रण

In school examinations, students write answers without active pacing. In national entrance tests, students have barely 45-60 seconds per MCQ. Practicing with a 20-minute timer instills instinctive time-budgeting and prevents last-minute exam panic.

Mastery of the Elimination Technique

विकल्प निष्कासन विधि में दक्षता

Top rankers in competitive exams rarely compute every problem blindly. They spot subtle traps, evaluate extreme values, and eliminate 2 out of 4 distractors within seconds. Our 4-option sets teach critical distractor analysis.

CBT Screen Stamina & Digital Comfort

कंप्यूटर आधारित परीक्षा का सहज अभ्यास

Almost all major national exams (CUET, JEE, NEET, SSC, Banking) are 100% computer-based. Students who only study on paper experience eye strain and navigation mistakes on exam day. Early CBT practice creates effortless digital fluency.

Immunity to Negative Marking

सटीकता और नकारात्मक अंकन से सुरक्षा

Careless errors—such as misreading "NOT" or "EXCEPT"—ruin thousands of competitive aspirations each year. Regular objective testing builds the habit of double-checking question keywords before locking answers.

Instant Diagnostic Feedback Loop

तत्काल त्रुटि निवारण एवं आत्म-मूल्यांकन

Traditional paper tests take weeks to grade, by which time the student has forgotten their thought process. TargetExams provides instant scorecards and step-by-step solutions while the conceptual puzzle is still fresh.

Syllabus Concepts Evaluated in this Chapter

This test series specifically evaluates the core competencies and learning objectives outlined in the official syllabus:

Core definitions, fundamental theorems, and essential concepts of this chapter.
Step-by-step mathematical reasoning and deductive problem-solving.
Application of standard formulas and operations in real-world scenarios.
Critical examination of common exam pitfalls and misleading options.
Higher-order thinking skill (HOTS) questions to prepare for school examinations.
Speed and accuracy mastery under standard timed CBT exam conditions.

Exam Rules & Test Taking Guidelines

Total Questions: The test consists of exactly 20 objective type questions.
Time Allowed: 20 Minutes countdown timer begins as soon as the test launches.
Marking Scheme: +1.0 mark is awarded for each correct answer.
Zero Penalty: There is 0.0 negative marking for incorrect or unattempted questions.
Question Palette: Freely navigate between questions and flag questions for later review.
Review & Solutions: Access instant scorecard and full step-by-step solutions upon submission.

Frequently Asked Questions (FAQs)

Yes! Foundation Practice Set 01 for every chapter in Maharashtra State Board (MSBSHSE) Class VI Mathematics is 100% free to attempt. Students can test their knowledge without any payment or hidden fees.

This page is dedicated to English Medium. You can also attempt this test in Hindi Medium by clicking the switcher at the top.

Absolutely. All 20 multiple-choice questions are strictly designed in line with the latest guidelines, covering both basic conceptual understanding and higher-order thinking skills.

The test contains 20 MCQs to be solved in 20 minutes. Each question carries +1.0 mark for a correct answer, and there is zero (0.0) negative marking for incorrect answers.

Yes. Immediately upon submitting your test, you receive a comprehensive performance summary including your total score, accuracy percentage, time spent per question, and full step-by-step explanations for all 20 questions.

HCF and LCM (Set 01 (Foundation Level))

20 MCQs • 20 Mins • 100% Free Practice Test

Maharashtra State Board (MSBSHSE) Class VI Mathematics: HCF and LCM Online Test (Set 01 (Foundation Level)) | TargetExams

Chapter Study Guide & In-Depth Notes