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Q1. Manju and her two neighbours together buy 5 litres of oil every week and share it equally among 3 families. In 4 weeks, the total oil one family receives is
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Q2. Find 13/11 × 6 and express the answer as a mixed fraction.
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Q3. Using Brahmagupta's general formula the value of 5/12 × 7/18 is
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Q4. Consider the following statements about evaluating 12/7 × 5/24 by cancelling common factors first:
I. 12 in the numerator and 24 in the denominator share a common factor of 12.
II. Dividing both by 12 changes the value of the product.
III. After cancelling, the multiplication becomes 1/7 × 5/2 = 5/14.
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Q5. Tsewang plants four saplings in a row in his garden. The distance between two adjacent saplings is 3/4 m. The distance between the first and the last sapling is
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Q6. Which is heavier: 12/15 of 500 grams, or 3/20 of 4 kg?
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Q7. A water tank is filled from a tap. If the tap is open for 1 hour, 7/10 of the tank gets filled. What part of the tank is filled if the tap is open for 2/3 hour?
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Q8. Find the area of a rectangle of sides 3 and 3/4 ft and 9 and 3/5 ft.
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Q9. A Class 7 student writes: 1/2 × 1/4 = (1 × 1)/(2 + 4) = 1/6. As shown by the unit-square area model the correct value is 1/8. The student's error is best described as
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Q10. Krishna gets 1/3 of the remaining land after 1/6 is taken by the government. A student insists 'multiplication always makes a number bigger, so the answer must be more than 1/3'. The teacher's best correction is that
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Q11. Assertion (A): For any two fractions a/b and c/d, a/b × c/d = (a × c)/(b × d).
Reason (R): The unit square divided into b rows and d columns has b × d small parts, and a × c of them are shaded.
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Q12. Consider the product (565/465) × (707/676). Which of the following are correct, using only the rule that multiplying by a number greater than 1 increases the other factor?
I. The product is greater than 565/465.
II. The product is less than 707/676.
III. The product is less than 1.
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Q13. A car runs 16 km using 1 litre of petrol. How far will it go using 2 and 3/4 litres of petrol?
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Q14. Mira is reading a 400-page novel. She read 1/5 of the pages yesterday and 3/10 of the pages today. How many more pages does she need to read to finish the novel?
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Q15. Consider these teaching strategies for introducing 1/2 × 1/4 = 1/8 in Class 7:
I. Tell the rule 'multiply numerator with numerator, denominator with denominator' and ask students to memorise it.
II. Draw a unit square, divide it into 2 rows and 4 columns, and shade 1 small part.
III. Use the everyday story of a tortoise walking 1/4 km in 1 hour and ask how far it goes in 1/2 hour. Which strategies are emphasised in the chapter?
