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Important Questions and Answers for Class 7 Maths Chapter 3 Finding Common Ground 2025-26

Q: 3. Where can I get a Finding Common Ground Class 7 worksheet with answers for practice?

You can find Finding Common Ground Class 7 worksheet with answers or as a PDF through CBSE-aligned resources such as Vedantu. Downloading these worksheets helps you practice important questions, understand answer formats, and check your solutions quickly against answer guidelines provided for every type.

Q: 4. Which subtopics in Chapter 3 should I focus on first for high-weightage questions?

For high-weightage important questions, start with these subtopics:Prime and composite numbersFinding HCF by prime factorizationFinding LCM by division and listing methodsWord problems using HCF/LCMThese subtopics appear frequently in worksheets and tests.

Q: 5. Are diagrams or steps compulsory in answering important questions from Finding Common Ground?

Steps are required for most questions to get full marks. Draw diagrams or factor trees when asked to show prime factorization or method. Label every part clearlyKeep work neat for examiner’s markingShowing clear steps can earn you step marking even if the final answer is not correct.

Q: 7. Is it better to practice from previous year important questions or only NCERT exercises for Chapter 3?

Practicing important questions from previous years and sample worksheets alongside NCERT exercises is the best approach. This covers both expected patterns and all question types, ensuring you’re ready for school, pre-board and CBSE 2025–26 exams. Use worksheets, extra questions, and solutions PDFs for complete prep.

Finding Common Ground Class 7 Worksheet with Answers and PDF for Exam Practice

Important Questions Class 7 Maths Chapter 3 Finding Common Ground helps you prepare for CBSE tests the right way. Here, you will get access to finding common ground class 7 worksheet for easy revision and exam practice. This resource is made for Class 7 Maths students who want clear and simple answers.

This chapter lets you work through key Maths concepts using the finding common ground class 7 worksheet with answers. You will find extra questions, stepwise solutions, and clear logic explained. All questions are structured according to exam needs and current CBSE guidelines.

You can use these questions to understand marking schemes and improve your performance. Practise using Vedantu’s Important Questions with Answers, or download the free PDF for complete study support on the go.

Finding Common Ground Class 7 Worksheet with Answers and PDF for Exam Practice

1. Multiple choice questions.

1. Which of the following is the HCF of 30 and 72?

(a) 12
(b) 6
(c) 3
(d) 36

Answer: (b) 6

2. The smallest number that is divisible by 3, 4, 5, and 7 is:

(a) 420
(b) 84
(c) 140
(d) 60

Answer: (a) 420

3. Which pair of numbers has HCF equal to one of the numbers itself?

(a) 18 and 24
(b) 8 and 16
(c) 6 and 18
(d) 5 and 7

Answer: (c) 6 and 18

4. The LCM of 6 and 8 is:

(a) 24
(b) 12
(c) 48
(d) 14

Answer: (a) 24

2. Very Short Answer (VSA).

1. Define Highest Common Factor (HCF).

Answer: The HCF is the greatest number that divides each of the given numbers exactly without leaving any remainder. It is also called the Greatest Common Divisor (GCD).

2. What is a prime number?

Answer: A prime number is a number greater than 1 that has only two factors: 1 and itself.

3. What is the LCM of 7 and 10?

Answer: The LCM of 7 and 10 is 70.

4. Write any two common factors of 12 and 16.

Answer: The common factors of 12 and 16 are 1, 2, and 4. Any two are 2 and 4.

3. Short Answer Questions.

1. Explain the method of finding HCF using prime factorisation for 45 and 75.

Answer: To find the HCF by prime factorisation, write 45 as $3 \times 3 \times 5$ and 75 as $3 \times 5 \times 5$. The common prime factors are one 3 and one 5. So, HCF = $3 \times 5 = 15$.

2. How would you find the LCM of 36 and 54 using their prime factors?

Answer: Prime factorisation: 36 = $2 \times 2 \times 3 \times 3$, 54 = $2 \times 3 \times 3 \times 3$. For LCM, use the highest power of each: $2^2 \times 3^3 = 108$. So, LCM of 36 and 54 is 108.

3. A room is 12 ft by 16 ft. What is the size of the largest square tile that can be used to cover the floor exactly? How many such tiles are needed?

Answer: The largest square tile size is the HCF of 12 and 16, i.e., 4 ft. Area of the room is $12 \times 16 = 192$ sq ft. Area of one tile is $4 \times 4 = 16$ sq ft. Tiles needed $= 192 \div 16 = 12$ tiles.

4. Is it true that the larger a number, the longer its prime factorisation? Give a reason.

Answer: No, it is not always true. For example, 96 ($2^5 \times 3$) has more prime factors than 121 ($11 \times 11$), even though 121 is larger than 96.

4. True or False Questions.

1. The HCF of two prime numbers is always 1.

Answer: True

2. The LCM of two numbers is always greater than or equal to the larger number.

Answer: True

3. The HCF of consecutive numbers is always 2.

Answer: False

4. The product of HCF and LCM of two numbers is always equal to the product of the numbers.

Answer: True

3. Fill in the Blanks Questions.

1. The HCF of 30 and 72 is ___ .

Answer: 6

2. The LCM of 4 and 6 is ___ .

Answer: 12

3. If both numbers are doubled, their HCF will also be ___ .

Answer: Doubled

4. Every common multiple contains the ___ of all given numbers.

Answer: prime factors

How Finding Common Ground in Maths Chapter 3 Helps Students Succeed

The finding common ground class 7 worksheet with answers supports students in mastering concepts like HCF and LCM. With clear examples and structured explanations, this resource covers everything needed for NCERT and CBSE exams. Regular practice ensures stronger number sense and problem-solving skills.

Parents and learners love using finding common ground class 7 worksheet pdf and finding common ground class 7 extra questions and answers. Worksheets offer practice for all levels, while integrated solutions help clarify doubts instantly. Strong foundational skills are built for upcoming classes and concepts.

Download finding common ground class 7 solutions pdf and experience stepwise answers crafted for every CBSE 2025-26 need. Students deepen understanding, avoid common errors, and approach competitive questions with confidence. These resources inspire better study habits and reliable exam outcomes.

FAQs on Important Questions and Answers for Class 7 Maths Chapter 3 Finding Common Ground 2025-26

1. What types of important questions are asked from Class 7 Maths Chapter 3 Finding Common Ground?

Chapter 3 includes MCQs, very short, short, long answer, and case-based questions. For exams, focus on:

Definition-based direct questions
Simple calculation and reasoning problems
Application sums, especially on finding HCF and LCM
Case-based and HOTS problems

Practice a mix from worksheets, extra questions, and NCERT exercises.

2. How should I answer long questions on Finding Common Ground for full CBSE marks?

To get full marks in long answer questions, write neat, stepwise solutions. Follow these steps:

List what is given and what is required.
Use correct formulas for HCF/LCM.
Show all calculations and intermediate steps.
Highlight your final answer.

Underline keywords and formulae for clarity.

3. Where can I get a Finding Common Ground Class 7 worksheet with answers for practice?

You can find Finding Common Ground Class 7 worksheet with answers or as a PDF through CBSE-aligned resources such as Vedantu. Downloading these worksheets helps you practice important questions, understand answer formats, and check your solutions quickly against answer guidelines provided for every type.

4. Which subtopics in Chapter 3 should I focus on first for high-weightage questions?

For high-weightage important questions, start with these subtopics:

Prime and composite numbers
Finding HCF by prime factorization
Finding LCM by division and listing methods
Word problems using HCF/LCM

These subtopics appear frequently in worksheets and tests.

5. Are diagrams or steps compulsory in answering important questions from Finding Common Ground?

Steps are required for most questions to get full marks. Draw diagrams or factor trees when asked to show prime factorization or method.

Label every part clearly
Keep work neat for examiner’s marking

Showing clear steps can earn you step marking even if the final answer is not correct.

6. How can I avoid common mistakes in Class 7 Maths important questions from Chapter 3?

Common mistakes include skipping steps, using wrong formulas, or missing labels. To avoid these:

Double-check every calculation
Write each step clearly
Review your worksheet with answers PDF for marking style

7. Is it better to practice from previous year important questions or only NCERT exercises for Chapter 3?

Practicing important questions from previous years and sample worksheets alongside NCERT exercises is the best approach. This covers both expected patterns and all question types, ensuring you’re ready for school, pre-board and CBSE 2025–26 exams. Use worksheets, extra questions, and solutions PDFs for complete prep.