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.

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 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.

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 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

Written by Satish

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