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National Institute of Open Schooling (NIOS) Class X Mathematics Set 02 (Advanced Level) English Medium 100% Free Practice Test

National Institute of Open Schooling (NIOS) Class X Mathematics (211): Constructions Online Test (Set 02 (Advanced Level)) | TargetExams

Q: Is this online test series free for National Institute of Open Schooling (NIOS) Class X?

Yes! Foundation Practice Set 01 for every chapter in National Institute of Open Schooling (NIOS) Class X Mathematics (211) is 100% free to attempt. Students can test their knowledge without any payment or hidden fees.

Q: What language is this test conducted in?

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

Q: Are the questions aligned with the latest NIOS Self-Learning Material (SLM) Pattern?

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.

Q: What is the marking scheme and time limit for this test?

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.

Q: Will I receive an instant scorecard and explanations?

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.

Constructions — Set 02 (Advanced Level)

Take free online mock test for National Institute of Open Schooling (NIOS) Class X Mathematics (211) chapter 'Constructions'. 20 MCQs, 20 minutes, detailed solutions & score analysis.

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20 MCQs

Questions

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20 Mins

Duration

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20 Marks

Total Marks

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+1.0

Per Correct

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0.0

Negative Mark

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English

Language

Start Test Now (English Medium)

Instant Scorecard Step-by-Step Solutions NIOS Self-Learning Material (SLM) 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: Constructions

Class 10 Mathematics Guide

Mastering Constructions in Class 10 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 Constructions 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 Constructions.	Constructions का मुख्य गणितीय सूत्र	"Apply the governing theorem of Constructions 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 Constructions.
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 Constructions 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.

To construct the perpendicular bisector of a line segment AB of length 8 cm using a compass and straightedge, arcs are drawn from centers A and B with radius r. Which of the following is a valid radius r, and what happens if r = 3.5 cm is used?

\(r = 5 cm is valid; if r = 3.5 cm is used, the arcs from A and B will not intersect.\)

\(r = 3.5 cm is valid; if r = 5 cm is used, the arcs will intersect outside the paper.\)

\(r = 4 cm is valid; if r = 3.5 cm is used, the bisector will not be perpendicular to AB.\)

\(r = 3.5 cm is valid; if r = 5 cm is used, the arcs will intersect in a single line.\)

Correct Answer: Option A

Explanation:

For arcs drawn from the two endpoints A and B to intersect on both sides of AB, the compass radius r must be strictly greater than half the segment length (r > 1/2AB = 4 cm). If r = 3.5 cm < 4 cm, the sum of the two radii is 3.5 + 3.5 = 7 cm < 8 cm, so by the triangle inequality, the arcs cannot meet at all.

When constructing the perpendicular bisector of segment AB, arcs of equal radius r centered at A and B intersect at points P and Q. Which geometric property proves that line PQ is the perpendicular bisector of AB?

Quadrilateral APBQ is a cyclic quadrilateral whose opposite angles sum to 180°.

Quadrilateral APBQ is a rhombus because all four sides equal r, and the diagonals of a rhombus bisect each other at right angles.

Triangle PAB and Triangle QAB are right-angled triangles with common hypotenuse AB.

Points P, A, B, Q are collinear points lying on a single straight line.

Correct Answer: Option B

Explanation:

Since AP = BP = AQ = BQ = r, all four sides of quadrilateral APBQ are equal, making APBQ a rhombus. A fundamental geometric theorem states that the diagonals of a rhombus (AB and PQ) are perpendicular bisectors of each other. Hence, line PQ perpendicularly bisects segment AB.

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

Early practice in high school builds the mental muscle, speed, and analytical discipline required to ace NTSE, Olympiads, JNVST, CUET, and Foundation JEE/NEET.

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)