Extra Questions for Class 7 Maths Chapter 12: Another Peek Beyond the Point – HOTS

Fresh HOTS practice questions for Class 7 Maths Chapter 12 “Another Peek Beyond the Point”, testing decimal multiplication, decimal division, and real-world applications with new numbers not found in the textbook. These Class 7 Mathematics Chapter 12 important questions are handy for last-minute exam practice.

Last Updated: September 23, 2026

Q1. Multiply 3.45 × 2.6, showing the whole-number multiplication step and the decimal-place count.

Answer: 345 × 26 = 8970. The factors have 2 + 1 = 3 decimal digits together, so the product is 8.970 = 8.97.

Q2. A tailor buys 4.75 m of fabric at ₹128.50 per metre. Find the total cost.

Answer: 4.75 × 128.50 = (4 × 128.50) + (0.75 × 128.50) = 514.00 + 96.375 = ₹610.375 (≈ ₹610.38).

Q3. Assertion-Reason — Assertion (A): The product of two decimal numbers that are each less than 1 is always…

Assertion (A): The product of two decimal numbers that are each less than 1 is always smaller than both of the numbers.
Reason (R): Multiplying a positive number by another number that is less than 1 always makes it smaller.

Answer: Both A and R are true, and R correctly explains A.

Q4. Divide 72.9 by 4.5 by first converting the divisor into a whole number.

Answer: Multiply both numbers by 10: 72.9 ÷ 4.5 = 729 ÷ 45 = 16.2.

Q5. Spot the error — A student divides 3.6 by 0.4 and writes the answer as 0.9. Identify and correct the error.

A student divides 3.6 by 0.4 and writes the answer as 0.9. Identify and correct the error.

Answer: Incorrect — the student did not convert the divisor to a whole number before dividing. Multiplying both numbers by 10 gives 36 ÷ 4 = 9, the correct answer.

Q6. True or False — "Dividing a number by a decimal that is less than 1 always gives a result smaller than…

“Dividing a number by a decimal that is less than 1 always gives a result smaller than the original number.”

Answer: False. Dividing by a number less than 1 always makes the result larger — for example, 8 ÷ 0.5 = 16, which is bigger than 8.

Q7. A car covers 342.6 km using 19.8 litres of petrol. Find its fuel efficiency in km per litre, correct to two decimal places.

Answer: 342.6 ÷ 19.8 = 3426 ÷ 198 = 17.30 km/litre (approx).

Q8. Express 5/11 as a decimal. Is it terminating or repeating? Give a reason based on the denominator.

Answer: 5/11 = 0.454545…, a repeating (non-terminating) decimal, because the denominator 11 has a prime factor other than 2 or 5.

Q9. A shopkeeper buys 8.5 kg of rice at ₹42.80 per kg and sells the entire lot for ₹400. Find the profit or loss.

Answer: Cost = 8.5 × 42.80 = ₹363.80. Profit = 400 − 363.80 = ₹36.20 profit.

Q10. The product of two decimal numbers is 6.75, and one number is 3 times the other. Find both numbers.

Answer: Let the smaller number be x, so the larger is 3x. Then x × 3x = 3x² = 6.75, giving x² = 2.25, so x = 1.5. The numbers are 1.5 and 4.5 (check: 1.5 × 4.5 = 6.75).

See also: NCERT Solutions for Class 7 Maths Chapter 12

Revision Notes: Revision Notes for Class 7 Maths Chapter 12

See the full book: NCERT Books for Class 7 Maths Part 2

Frequently Asked Questions

How would you divide 15.6 by 4?
Dividing normally as if there were no decimal point gives 156 divided by 4 equals 39, and then placing the decimal point back in the same relative position gives a final answer of 3.9.

Why does multiplying a decimal number by 100 simply shift its decimal point two places to the right?
Multiplying by 100 is the same as multiplying by 10 twice, and each multiplication by 10 shifts every digit one place value higher, moving the decimal point one place to the right each time.

Written by Satish

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