Unitary Method
ICSE · Class 7 · Mathematics
Flashcards for Unitary Method — ICSE Class 7 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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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.
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.
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.
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.
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.
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…
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.
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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