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Unitary Method — Flashcards

ICSE · Class 7 · Mathematics

20 flashcards for Unitary Method (ICSE Class 7 Mathematics) to test yourself on key terms and facts. Part of the ICSE Class 7 Mathematics syllabus.

42 questions20 flashcards10 formulas & key relations5 concepts

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20 Flashcards·
Direct variation - earningsDirect variation - cloth costInverse variation - men and daysInverse variation - speed and timeFraction of cargo costTime and gain - unit conversionInverse variation - corn and horsesTime and work - combined work
Card 1Direct variation - earnings

A man earns ₹400 in 10 days. How much will he earn in 28 days?

Answer

Step 1: Find earnings in 1 day = ₹400 ÷ 10 = ₹40. Step 2: Find earnings in 28 days = 28 × ₹40 = ₹1,120. Answer: ₹1,120.

Card 2Direct variation - cloth cost

A cloth costs ₹45 for 0.75 m. What is the cost of 0.6 m of the same cloth?

Answer

Step 1: Find cost of 1 m = ₹45 ÷ 0.75 = ₹60. Step 2: Find cost of 0.6 m = 0.6 × ₹60 = ₹36. Answer: ₹36.

Card 3Inverse variation - men and days

4 men can do a piece of work in 5 days. How many men are needed to do the same work in 4 days?

Answer

Step 1: This is inverse variation, so fewer days means more men. Step 2: Men needed for 1 day = 4 × 5 = 20 men. Step 3: Men needed for 4 days = 20 ÷ 4 = 5 men. Answer: 5 men.

Card 4Inverse variation - speed and time

A car moves at 60 km/h and takes 4 hours for a journey. What speed is needed to finish the same journey in 3 hours?

Answer

Step 1: This is inverse variation. Step 2: To do the same journey in 1 hour, speed = 60 × 4 = 240 km/h. Step 3: For 3 hours, speed = 240 ÷ 3 = 80 km/h. Answer: 80 km/h.

Card 5Fraction of cargo cost

If 8/15 of a cargo costs ₹2,000, what is the cost of 3/5 of the same cargo?

Answer

Step 1: Find the cost of the whole cargo. Whole cargo cost = ₹2,000 ÷ (8/15) = ₹2,000 × (15/8) = ₹3,750. Step 2: Find cost of 3/5 of the cargo. Cost = ₹3,750 × (3/5) = ₹2,250. Answer: ₹2,250.

Card 6Time and gain - unit conversion

A watch gains 42 seconds in 3 days 8 hours. How long will it take to gain 2 minutes 6 seconds?

Answer

Step 1: Convert time units. 3 days 8 hours = (3 × 24) + 8 = 80 hours. 2 minutes 6 seconds = (2 × 60) + 6 = 126 seconds. Step 2: Find time for 1 second gain. 80 hours for 42 seconds. Step 3: Time for 1…

Card 7Inverse variation - corn and horses

135 kg of corn feeds 45 horses for 8 days. For how long will the same corn feed 24 horses?

Answer

Step 1: The quantity of corn remains the same. Step 2: For 45 horses, days = 8. Step 3: For 1 horse, days = 8 × 45 = 360 days. Step 4: For 24 horses, days = 360 ÷ 24 = 15 days. Answer: 15 days.

Card 8Time and work - combined work

A and B can do a piece of work in 4 days and 6 days respectively. How long will they take together?

Answer

Step 1: A's 1 day work = 1/4. Step 2: B's 1 day work = 1/6. Step 3: Together, 1 day work = 1/4 + 1/6 = (3 + 2)/12 = 5/12. Step 4: Total time = 1 ÷ (5/12) = 12/5 days = 2 2/5 days. Answer: 2 2/5 days.

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Frequently Asked Questions

What are the important topics in Unitary Method for ICSE Class 7 Mathematics?
Key topics in Unitary Method include Core Idea of the Unitary Method, Direct Variation, Inverse Variation, Worked Examples from Direct Variation. Study these first, then practise questions on each for Class 7 exams.
How many flashcards are available for Unitary Method?
There are 20 flashcards for Unitary Method covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Unitary Method for Class 7 exams?
Learn the core ideas first, then work through the 42 practice questions on Unitary Method. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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