Direct and inverse proportion · अनुक्रमानुपात और व्युत्क्रमानुपात
More pens, more money — direct. More workers, fewer days — inverse.
Direct and inverse proportion games
Direct and inverse proportion अनुक्रमानुपात और व्युत्क्रमानुपात
| Direct proportion | Inverse proportion | |
|---|---|---|
| When one goes up… | the other goes up in the same ratio | the other goes down in the same ratio |
| What stays the same | x ÷ y = k | x × y = k |
| Example | 1 pen ₹10, 3 pens ₹30, 5 pens ₹50 | 2 workers 12 days, 4 workers 6 days, 6 workers 4 days |
Unitary method: find the value for 1, then multiply. Direct: 4 kg cost ₹100 → 1 kg ₹25 → 7 kg ₹175. Inverse: 3 taps fill a tank in 8 hours → 1 tap takes 24 hours → 6 taps take 4 hours.
Careful: not everything is in proportion — your age and your height, for example. Also see ratio and proportion.
Goes with NCERT Maths Class 8 (Direct and inverse proportions). Sums are worked out exactly.
A one-page chart to stick on the wall, and a worksheet to practise.
Direct and inverse proportion
Direct and inverse proportion अनुक्रमानुपात और व्युत्क्रमानुपात
| Direct proportion | Inverse proportion | |
|---|---|---|
| When one goes up… | the other goes up in the same ratio | the other goes down in the same ratio |
| What stays the same | x ÷ y = k | x × y = k |
| Example | 1 pen ₹10, 3 pens ₹30, 5 pens ₹50 | 2 workers 12 days, 4 workers 6 days, 6 workers 4 days |
Unitary method: find the value for 1, then multiply. Direct: 4 kg cost ₹100 → 1 kg ₹25 → 7 kg ₹175. Inverse: 3 taps fill a tank in 8 hours → 1 tap takes 24 hours → 6 taps take 4 hours.
kheloaurseekho.in — free charts, games and worksheets
Direct and inverse proportion — worksheet
Name: ____________________ Class: ______ Date: __________
kheloaurseekho.in — free charts, games and worksheets