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Jharkhand Academic Council (JAC) Class VII Mathematics Set 02 (Advanced Level) English Medium 100% Free Practice Test

JAC Board Class 7 Mathematics: Integers Online Test (Set 02 (Advanced Level)) | Jharkhand Board

Integers — Set 02 (Advanced Level)

Practise free online MCQ mock test for JAC Board Class 7 Mathematics chapter 'Integers'. 20 MCQs with timer countdown, detailed explanations, and instant results as per board syllabus.

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20 MCQs

Questions

⏱️

20 Mins

Duration

🎯

20 Marks

Total Marks

➕

+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 JCERT / JAC Curriculum

Chapter Study Guide & In-Depth Notes

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

3 Sections

Chapter Overview & Core Mathematical Rules: Integers (पूर्णांक)

JCERT Class 7 Maths Chapter 1

In Class 7 Mathematics, Integers ($\mathbb{Z}$) expand the whole number system to include negative quantities: $\{\ldots, -3, -2, -1, 0, 1, 2, 3, \ldots\}$। Integers are vital in real-world mathematics for modeling opposite directions such as temperatures above/below $0^\circ\text{C}$, financial credit vs. debit, and elevations above or below sea level.

On the horizontal number line, positive integers lie strictly to the right of zero, while negative integers lie to the left. Any integer to the right of another integer is strictly greater in value: for example, $-1 > -10$, even though the absolute magnitude $|-10| > |-1|$.

Core Moral & Key Takeaway:

Mastery of sign conventions, closure, commutativity, associativity, and distributivity under addition, subtraction, multiplication, and division forms the foundation of all higher algebra.

Essential Formulas, Sign Laws & Algebraic Properties

Formula Sheet & Sign Rules

Term / Formula	Type	Definition / Meaning	Explanation / Notes	Example / Usage
Multiplication Signs	Rule	(+) × (+) = (+); (-) × (-) = (+); (+) × (-) = (-); (-) × (+) = (-)	समान चिन्ह धनात्मक (+), असमान चिन्ह ऋणात्मक (-) गुणनफल देते हैं।	"(-5) × (-4) = +20; (-6) × 3 = -18"
Additive Identity	Property	Zero is the additive identity: a + 0 = a for any integer a.	शून्य (0) पूर्णांकों के लिए योज्य तत्समक है।	"(-27) + 0 = -27"
Additive Inverse	Property	The opposite sign of a number such that a + (-a) = 0.	योज्य प्रतिलोम: संख्या का विपरीत चिन्ह।	"Additive inverse of -14 is +14."
Distributive Law	Property	a × (b + c) = (a × b) + (a × c) under multiplication over addition.	वितरण नियम: a × (b + c) = a×b + a×c	"25 × 102 = 25 × (100 + 2) = 2500 + 50 = 2550."
Division by Zero	Rule	Division of any integer by zero is undefined: a ÷ 0 = undefined.	किसी भी संख्या को 0 से भाग देना अपरिभाषित है।	"7 ÷ 0 is Undefined; 0 ÷ 7 = 0."

Key Features & Devices Explored:

Closure Property

Integers are closed under addition, subtraction, and multiplication, but NOT always under division.

Non-Commutativity of Subtraction

a - b ≠ b - a (e.g., 5 - 3 = 2, but 3 - 5 = -2). Order strictly matters!

Sign of Repeated Products

Product of an odd number of negative integers is negative; an even number yields positive.

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

Maths Revision Notes

⚡ High-Yield Exam Takeaways:

Always solve brackets first following BODMAS / PEMDAS rules.
Subtracting a negative number is equivalent to adding a positive number: $a - (-b) = a + b$.
The absolute value $|x|$ represents geometric distance from zero on the number line and is always non-negative.

Frequently Asked Questions & Model Answers:

Q1 A submarine is 800 m below sea level and rises 350 m. What is its new position?

Answer: Initial position = -800 m. Rising 350 m: -800 + 350 = -450 m (450 meters below sea level).

Q2 Evaluate: (-20) × (-2) × (-5) × 3

Answer: There are three negative signs (odd count), so product is negative: (-20 × -2 = +40) × (-5) = -200 × 3 = -600.

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.

Evaluate -63 ÷ 7.

-63 ÷ 7 का मान ज्ञात कीजिए।

-9

-70

-56

Correct Answer: Option A

Explanation:

A negative divided by a positive is negative: -9.

एक ऋणात्मक को एक धनात्मक से विभाजित करने पर वह ऋणात्मक होता है: -9.

The temperature is -7°C and falls by 9°C. What is the new temperature?

तापमान -7°C है और 9°C गिरता है। नया तापमान क्या होगा?

-16

-7

Correct Answer: Option B

Explanation:

-7 - 9 = -16°C.

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 Jharkhand Academic Council (JAC) Class VII 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.

Integers (Set 02 (Advanced Level))

20 MCQs • 20 Mins • 100% Free Practice Test

JAC Board Class 7 Mathematics: Integers Online Test (Set 02 (Advanced Level)) | Jharkhand Board

Chapter Study Guide & In-Depth Notes

Chapter Overview & Core Mathematical Rules: Integers (पूर्णांक)