Class 7 Mathematics Chapter 7: Finding the Unknown — practice questions with answers
Free practice for Class 7 Mathematics, Chapter 7: Finding the Unknown. Try the solved questions below, then take a free test with instant marking and explanations.
30 questions7 easy, 14 medium, 9 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. Three bread slices of weight 2 each balance two fried eggs (e each): 2e = 6. What is e?
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Answer: 3 (± 0)
Why: 2e = 6, so e = 3. [p.168]
Why: 2e = 6, so e = 3. [p.168]
Q2. A statement showing that two algebraic expressions are equal is called an algebraic ______.
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Answer: equation
Why: An algebraic equation states the equality of two expressions. [p.168, p.190]
Why: An algebraic equation states the equality of two expressions. [p.168, p.190]
Q3. A balanced scale stays balanced if we remove equal weights from both plates. Which property of equations is this like?
- Doing the same operation on both sides keeps the equality
- Swapping sides changes the answer
- Equations cannot be changed
- Only addition is allowed
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Answer: A. Doing the same operation on both sides keeps the equality
Why: Adding, subtracting, multiplying or dividing both sides by the same number preserves equality. [p.169]
Why: Adding, subtracting, multiplying or dividing both sides by the same number preserves equality. [p.169]
Q4. Solve 11y + (−5) = 61.
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Answer: 6 (± 0)
Why: 11y = 66, so y = 6. [p.171–173]
Why: 11y = 66, so y = 6. [p.171–173]
Q5. Solve 3x − 10 = 35.
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Answer: 15 (± 0)
Why: 3x = 45, x = 15. [p.172]
Why: 3x = 45, x = 15. [p.172]
Q6. Why should you substitute your answer back into the equation?
- To check that LHS equals RHS
- To make the answer bigger
- To change the equation
- It is not needed
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Answer: A. To check that LHS equals RHS
Why: It is always good to check your solution. [p.171–172]
Why: It is always good to check your solution. [p.171–172]
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Frequently asked questions
How many practice questions are there for Class 7 Mathematics Chapter 7: Finding the Unknown?
30 questions (7 easy, 14 medium, 9 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.