Class 7 Maths Chapter 3: A Peek Beyond the Point Important Questions by PW
Mishika Gupta22 Sept, 2026
Fractions and decimals are closely related, but working between the two forms can become confusing when questions involve several calculations. Identifying terminating and repeating decimals, multiplying decimal numbers, comparing values, and solving money or measurement-based problems requires careful attention. Students may also find it difficult to understand how a fraction is represented as a decimal and apply the concept correctly in different questions.
The Class 7 Maths Chapter 3 Important Questions offer focused practice on A Peek Beyond the Point. You can practise fraction-to-decimal conversions, recognise decimal patterns, perform decimal calculations, compare values, and solve application-based questions involving everyday quantities.
Class 7 Maths Chapter 3 Important Questions
Try solving the questions independently before checking the answers.
Important Questions with Answers
Section A – 1 Mark Each
Q1. Which of the following fractions will have a terminating decimal?
(A) 3/8
(B) 7/11
(C) 9/14
(D) 5/33
Answer: (A) 3/8
Q2. Which of the following is equal to 0.4?
(A) 2/5
(B) 1/3
(C) 3/7
(D) 4/11
Answer: (A) 2/5
Q3. Which of the following decimals is non-terminating and repeating?
(A) 0.5
(B) 0.333...
(C) 0.75
(D) 0.125
Answer: (B) 0.333...
Q4. If 0.7 × ____ = 7, then the blank must be:
(A) 1
(B) 10
(C) 100
(D) 0.1
Answer: (B) 10
Section B – 1 Mark Each
Q5. If 5.4 × x = 27, then the value of x is:
(A) 5
(B) 4
(C) 6
(D) 7
Answer: (A) 5
Q6. What is the value of 0.6 × 0.06?
(A) 0.036
(B) 0.36
(C) 0.0036
(D) 0.006
Answer: (A) 0.036
Q7. What is the total cost of all the items he bought?
(A) Rs. 102.85
(B) Rs. 150.90
(C) Rs. 133.80
(D) Rs. 125.25
Answer: The item prices required to determine the total cost are not provided in the question.
Q8. How much money did Ravi get back from the shopkeeper?
(A) Rs. 74.75
(B) Rs. 49.10
(C) Rs. 67.55
(D) Rs. 70.00
Answer: The total amount paid by Ravi and the required purchase details are not provided, so the answer cannot be determined from the given information.
Q9. Which of the following statements is true?
(A) The cost of 2 kg sugar is Rs. 65.50
(B) The cost of wheat is Rs. 43.20
(C) Ravi spent less than Rs. 130
(D) Rice cost more than sugar
Answer: The prices and quantities needed to verify the statements are not provided.
Long Questions – 2 Marks Each
The following questions are based on practical situations involving decimals, fractions, and measurements.
Q10. Rani bought the following from a supermarket:
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2 kg of apples at Rs. 85.60 per kg
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1.5 kg of mangoes at Rs. 78.40 per kg
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2.25 kg of oranges at Rs. 62.80 per kg
What was her total bill?
Answer:
Cost of apples:
2 × Rs. 85.60 = Rs. 171.20
Cost of mangoes:
1.5 × Rs. 78.40 = Rs. 117.60
Cost of oranges:
2.25 × Rs. 62.80 = Rs. 141.30
Total bill:
Rs. 171.20 + Rs. 117.60 + Rs. 141.30 = Rs. 430.10
Therefore, Rani's total bill was Rs. 430.10.
Q11. How much money did she get back?
Answer: The amount of money Rani paid is not given, so the amount returned cannot be calculated.
Q12. It is cut into 5 equal parts. What is the length of each part?
Answer: The original length is not provided. If the original length is L, then the length of each part is:
L ÷ 5
Q13. Each part is further divided into 2 equal parts. What is the length of each smaller part?
Answer: If the original length is L, each smaller part has length:
L ÷ 10
Q14. Multiply the smallest part length by 10 and check the result.
Answer:
If each smallest part has length L ÷ 10, then:
(L ÷ 10) × 10 = L
Thus, multiplying the smallest part length by 10 gives the original length.
Q15. Convert the following fractions into decimals:
(i) 3/4
Answer: 0.75
(ii) 7/12
Answer: 0.5833...
(iii) 11/20
Answer: 0.55
Q16. Mention whether they are terminating or repeating.
Answer:
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3/4 = 0.75 → Terminating decimal
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7/12 = 0.5833... → Non-terminating repeating decimal
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11/20 = 0.55 → Terminating decimal
Q17. Arrange them in ascending order.
Answer:
0.55 < 0.5833... < 0.75
Therefore:
11/20 < 7/12 < ¾
Why Choose Physics Wallah Class 7 Chapter 3 Maths Important Questions?
Physics Wallah provides focused questions that help you practise the concepts covered in A Peek Beyond the Point and apply them to different numerical situations.
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Convert Fractions to Decimals: Practise changing fractions into their decimal forms.
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Identify Decimal Types: Differentiate between terminating and non-terminating repeating decimals.
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Work with Decimal Operations: Solve multiplication and other calculations involving decimal numbers.
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Compare Decimal Values: Arrange decimal numbers and fractions in the required order.
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Apply Decimal Concepts: Use decimals to solve practical questions involving money and measurements.
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Strengthen Fraction Understanding: Connect fraction representations with their corresponding decimal forms.
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Practise Calculation Skills: Work through different question formats to improve numerical accuracy.
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Revise Chapter Concepts: Use the questions to identify topics that require additional practice before assessments.
A Peek Beyond the Point develops your understanding of how fractions and decimals are connected and how decimal representations can be used in calculations. These Class 7 Maths Chapter 3 Important Questions provide practice with conversions, decimal operations, comparisons, and real-life applications to help you revise the chapter effectively.
Related Resources
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CBSE Class 7 Maths Sample Papers
Class 7 Maths Chapter 3 Important Questions FAQs
What is Chapter 3 of Class 7 Maths about?
What is a terminating decimal?
What is a non-terminating repeating decimal?
Is 7/12 terminating or repeating?
