Extra Questions for Class 7 Maths Chapter 8: Working with Fractions – HOTS

Fresh HOTS practice questions for Class 7 Maths Chapter 8 “Working with Fractions”, testing multiplication, division, and real-world fraction applications with new numbers. These Class 7 Mathematics Chapter 8 important questions are handy for last-minute exam practice.

Q1.

Multiply 5/8 by 4/9 and express in lowest terms.

Answer: 5/8 × 4/9 = 20/72 = 5/18 (dividing numerator and denominator by 4)

Q2.

A recipe needs 2/3 cup of sugar for 1 batch of cookies. How much sugar is needed for 5 batches?

Answer: 5 × 2/3 = 10/3 = 3⅓ cups

Q3. Assertion-Reason

Assertion (A): Dividing a number by 1/4 gives a result 4 times larger than the original number.
Reason (R): Dividing by a fraction is the same as multiplying by its reciprocal.

Answer: Both A and R are true, and R correctly explains A (dividing by 1/4 = multiplying by 4/1 = 4).

Q4.

A tank fills 3/5 full in 1 hour from a tap. How long will it take to fill the tank completely?

Answer: Since 3/5 fills in 1 hour, full tank takes 5/3 = 1⅔ hours

Q5. Spot the error

A student computed 2/3 ÷ 3/4 as “2/3 × 3/4 = 6/12 = 1/2”. Identify and correct the error.

Answer: The student multiplied instead of using the reciprocal for division. Correct method: 2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9

Q6.

Three friends share 7/8 kg of nuts equally. How much does each friend get?

Answer: 7/8 ÷ 3 = 7/8 × 1/3 = 7/24 kg each

Q7.

A car travels at a rate that uses 1/12 litre of fuel per km. How far can it travel on 3½ litres?

Answer: Distance = 3½ ÷ 1/12 = 7/2 × 12/1 = 84/2 = 42 km

Q8.

Find the area of a rectangular garden with length 5⅔ m and width 2⅖ m.

Answer: 5⅔=17/3, 2⅖=12/5. Area = 17/3 × 12/5 = 204/15 = 13.6 = 13⅓/5 sq m (simplify: 204/15 = 68/5 = 13⅓/5 sq m)

Q9.

Which is larger: 5/6 of 240, or 3/4 of 300? Show your work.

Answer: 5/6 of 240 = 1200/6 = 200. 3/4 of 300 = 900/4 = 225. Since 225 > 200, 3/4 of 300 is larger.

Q10.

Evaluate: (1 − 1/2) × (1 − 1/3) × (1 − 1/4) × (1 − 1/5).

Answer: Using the telescoping pattern (1−1/2)(1−1/3)…(1−1/n) = 1/n, with n=5: the answer is 1/5 (verify: 1/2×2/3×3/4×4/5 = 24/120 = 1/5)

NCERT Solutions: Class 7 Maths Chapter 8

Revision Notes: Class 7 Maths Chapter 8 Revision Notes

Written by Satish

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