Class 7 Mathematics Chapter 3: Finding Common Ground — practice questions with answers
Free practice for Class 7 Mathematics, Chapter 3: Finding Common Ground. Try the solved questions below, then take a free test with instant marking and explanations.
29 questions7 easy, 14 medium, 8 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. Sameeksha’s room is 12 ft by 16 ft. What is the side (ft) of the largest square tile, a whole number of feet, that fits exactly?
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Answer: 4 (± 0)
Why: The side must divide both 12 and 16; the highest such number is 4 ft. [p.47]
Why: The side must divide both 12 and 16; the highest such number is 4 ft. [p.47]
Q2. What is the prime factorisation of 105?
- 3 × 5 × 7
- 5 × 21
- 3 × 35
- 15 × 7
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Answer: A. 3 × 5 × 7
Why: 105 = 3 × 35 = 3 × 5 × 7, all primes. [p.50]
Why: 105 = 3 × 35 = 3 × 5 × 7, all primes. [p.50]
Q3. What is an example that shows a conjecture is false called?
- A counterexample
- A proof
- A factor
- A prime
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Answer: A. A counterexample
Why: A counterexample is a case where the conjecture fails. [p.52]
Why: A counterexample is a case where the conjecture fails. [p.52]
Q4. Find the HCF of 45 and 75.
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Answer: 15 (± 0)
Why: 45 = 3 × 3 × 5, 75 = 3 × 5 × 5; common subpart 3 × 5 = 15. [p.52]
Why: 45 = 3 × 3 × 5, 75 = 3 × 5 × 5; common subpart 3 × 5 = 15. [p.52]
Q5. Find the HCF of 30 and 72.
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Answer: 6 (± 0)
Why: Common primes 2 and 3, each taken the minimum number of times: 2 × 3 = 6. [p.54]
Why: Common primes 2 and 3, each taken the minimum number of times: 2 × 3 = 6. [p.54]
Q6. Anshu uses 6 cm strips and Guna 8 cm strips. What is the shortest toran length (cm) both can make?
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Answer: 24 (± 0)
Why: Common multiples of 6 and 8: 24, 48, … — the lowest is 24 cm. [p.55]
Why: Common multiples of 6 and 8: 24, 48, … — the lowest is 24 cm. [p.55]
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Frequently asked questions
How many practice questions are there for Class 7 Mathematics Chapter 3: Finding Common Ground?
29 questions (7 easy, 14 medium, 8 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 7 Mathematics syllabus, used by CBSE and many state boards.