Class 8 Mathematics Chapter 6: We Distribute, Yet Things Multiply — practice questions with answers
Free practice for Class 8 Mathematics, Chapter 6: We Distribute, Yet Things Multiply. Try the solved questions below, then take a free test with instant marking and explanations.
51 questions14 easy, 26 medium, 11 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. Which identity is the distributive property of multiplication over addition?
- a(b + c) = ab + ac
- a + bc = (a + b)c
- a(bc) = (ab)c
- a + b = b + a
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Answer: A. a(b + c) = ab + ac
Why: The dot-array picture shows a rows of b + c columns. [p.137]
Why: The dot-array picture shows a rows of b + c columns. [p.137]
Q2. Given 23 × 27 = 621, find 23 × 28 using the distributive property.
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Answer: 644 (± 0)
Why: 23 × (27 + 1) = 621 + 23 = 644. [p.137]
Why: 23 × (27 + 1) = 621 + 23 = 644. [p.137]
Q3. What do you get when you expand (a − b)(a + b)?
- a² − b²
- a² + b²
- a² − 2ab + b²
- 2a
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Answer: A. a² − b²
Why: −ab and +ab cancel. [p.143, p.157]
Why: −ab and +ab cancel. [p.143, p.157]
Q4. Find 495 × 11.
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Answer: 5445 (± 0)
Why: 495 × 11 = 5445. [p.144]
Why: 495 × 11 = 5445. [p.144]
Q5. Using 60² = 3600 and 5² = 25, find 65² by splitting the square.
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Answer: 4225 (± 0)
Why: 3600 + 2 × 300 + 25 = 4225. [p.145]
Why: 3600 + 2 × 300 + 25 = 4225. [p.145]
Q6. Find 55² as (60 − 5)².
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Answer: 3025 (± 0)
Why: 3600 − 600 + 25 = 3025. [p.147]
Why: 3600 − 600 + 25 = 3025. [p.147]
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Frequently asked questions
How many practice questions are there for Class 8 Mathematics Chapter 6: We Distribute, Yet Things Multiply?
51 questions (14 easy, 26 medium, 11 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 8 Mathematics syllabus, used by CBSE and many state boards.