Extra Questions for Class 7 Maths Chapter 3: A Peek Beyond the Point – HOTS

Fresh HOTS-level extra questions for Class 7 Maths Chapter 3 (A Peek Beyond the Point), with numbers not found in the NCERT book. Full worked solutions included. These Class 7 Mathematics Chapter 3 important questions are handy for last-minute exam practice.

Last Updated: September 23, 2026

Q1. Add: 12.075 + 8.9 + 0.36
Solution: 12.075+8.9 = 20.975; +0.36 = 21.335.

Q2 (Subtraction with borrowing). Find 50 − 23.456.
Solution: 50.000 − 23.456 = 26.544.

Q3 (Assertion–Reason). Assertion (A): 3.7 is greater than 3.65. Reason (R): Comparing decimals means comparing the total number of digits.
Solution: A is true (3.70>3.65, since 7>6 at the tenths place). R is false — comparison is based on place value, not digit count (e.g. 3.7 has fewer digits than 3.65 but is still larger). A is true; R is false.

Q4 (Word problem). A runner completes a race in 12.6 seconds in round 1 and improves by 0.85 seconds in round 2. What is the round 2 time?
Solution: 12.6 − 0.85 = 11.75 seconds.

Q5 (Ordering). Arrange in ascending order: 6.05, 6.5, 6.055, 6.505, 6.5005.
Solution: Comparing place by place: 6.05 < 6.055 < 6.5 < 6.5005 < 6.505.

Q6 (Unit conversion). Convert 2.5 km to metres, then to centimetres.
Solution: 2.5 km = 2.5×1000 = 2,500 m. In cm: 2,500×100 = 2,50,000 cm.

Q7 (Spot the error). A student says 0.8 + 0.09 = 0.17. Find and correct the error.
Solution: Incorrect — the student appears to have added the digits (8+9=17) without aligning place values. Correctly: 0.80+0.09 = 0.89.

Q8 (Money problem). A shopkeeper sells 3 items priced ₹45.50, ₹12.75, and ₹8.25. What change is due from a ₹100 note?
Solution: Total = 45.50+12.75+8.25 = ₹66.50. Change = 100−66.50 = ₹33.50.

Q9 (Digit puzzle). Using the digits 3, 0, 7, 2 exactly once, form the decimal closest to 50 (whole-number part from 2 digits, decimal part from the other 2).
Solution: Best whole-number part using two of the digits: 70 (using 7,0) is 20 away from 50; 32 (using 3,2) is 18 away — so 32 is closer. Remaining digits 7, 0 arranged for smallest addition: 32.07.

Q10 (Sequence). Find the next 3 terms: 2.5, 2.75, 3.0, 3.25, ___, ___, ___
Solution: Common difference = +0.25. Next terms: 3.5, 3.75, 4.0.

More on This Chapter

See also: NCERT Solutions: Class 7 Maths Chapter 3, Class 7 Maths Part 1 NCERT Book and the Class 7 Maths Formulas Handbook.

Revision Notes: Class 7 Maths Chapter 3 Revision Notes

Frequently Asked Questions

How would you arrange the decimals 0.5, 0.05, and 0.55 in increasing order?
Comparing digits place by place, 0.05 is the smallest, followed by 0.5, and then 0.55 is the largest, since 0.5 is equivalent to 0.50, which is greater than 0.05 but less than 0.55.

Why is it useful to convert a decimal into a fraction when performing certain calculations?
Converting a decimal into a fraction can make operations involving repeating or irrational-looking decimals more exact and easier to simplify compared to working directly with a long decimal expansion.

Written by Satish

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