Unitary Method Worksheet
The method (Go through one): Find the value of one: divide. Multiply by the number you need. Inverse (more workers → fewer days): multiply first to find the total work, then divide.
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- 1.A hostel has enough food for 3 students for 25 days. How many days will the same food last for 15 students?
- 2.7 painters can paint a school in 19 days. How many days would 19 painters take, working at the same speed?
- 3.A car goes 110 km on 11 litres of petrol. How far can it go on 31 litres (in km)?
- 4.A car goes 170 km on 10 litres of petrol. How far can it go on 32 litres (in km)?
- 5.If 6 kg of rice costs ₹204, how many kg can you buy for ₹476?
- 6.A car goes 133 km on 7 litres of petrol. How far can it go on 2 litres (in km)?
- 7.If 6 kg of rice costs ₹210, how many kg can you buy for ₹140?
- 8.A car goes 48 km on 4 litres of petrol. How far can it go on 26 litres (in km)?
- 9.A car goes 300 km on 12 litres of petrol. How far can it go on 2 litres (in km)?
- 10.If 7 kg of rice costs ₹273, how many kg can you buy for ₹546?
- 11.A car goes 84 km on 7 litres of petrol. How far can it go on 28 litres (in km)?
- 12.If 10 erasers cost ₹180, how much do 18 erasers cost (in ₹)?
- 13.If 3 erasers cost ₹93, how much do 7 erasers cost (in ₹)?
- 14.A hostel has enough food for 2 students for 16 days. How many days will the same food last for 16 students?
- 15.If 4 notebooks cost ₹148, how much do 5 notebooks cost (in ₹)?
- 16.If 10 notebooks cost ₹600, how much do 16 notebooks cost (in ₹)?
- 17.A car goes 56 km on 7 litres of petrol. How far can it go on 15 litres (in km)?
- 18.2 painters can paint a school in 19 days. How many days would 19 painters take, working at the same speed?
- 19.A car goes 85 km on 5 litres of petrol. How far can it go on 33 litres (in km)?
- 20.A hostel has enough food for 7 students for 9 days. How many days will the same food last for 3 students?
- 21.A hostel has enough food for 3 students for 21 days. How many days will the same food last for 21 students?
- 22.If 6 kg of rice costs ₹384, how many kg can you buy for ₹128?
- 23.If 11 bottles of juice cost ₹55, how much do 6 bottles of juice cost (in ₹)?
- 24.If 5 pencil boxes cost ₹135, how much do 10 pencil boxes cost (in ₹)?
- 25.If 9 kg of rice costs ₹630, how many kg can you buy for ₹700?
- 26.If 5 kg of rice costs ₹200, how many kg can you buy for ₹160?
- 27.4 painters can paint a school in 24 days. How many days would 16 painters take, working at the same speed?
- 28.If 7 notebooks cost ₹406, how much do 20 notebooks cost (in ₹)?
- 29.If 3 mangoes cost ₹12, how much do 11 mangoes cost (in ₹)?
- 30.If 4 kg of rice costs ₹168, how many kg can you buy for ₹126?
- 31.A car goes 230 km on 10 litres of petrol. How far can it go on 8 litres (in km)?
- 32.A hostel has enough food for 2 students for 6 days. How many days will the same food last for 3 students?
- 33.A car goes 51 km on 3 litres of petrol. How far can it go on 18 litres (in km)?
- 34.If 4 kg of rice costs ₹264, how many kg can you buy for ₹594?
- 35.A hostel has enough food for 4 students for 20 days. How many days will the same food last for 2 students?
- 36.5 painters can paint a school in 12 days. How many days would 10 painters take, working at the same speed?
- 37.If 3 kg of rice costs ₹117, how many kg can you buy for ₹195?
- 38.A car goes 72 km on 4 litres of petrol. How far can it go on 11 litres (in km)?
- 39.11 painters can paint a school in 5 days. How many days would 5 painters take, working at the same speed?
- 40.A hostel has enough food for 3 students for 11 days. How many days will the same food last for 11 students?
Answer key
- 5
- 7
- 310
- 544
- 14
- 38
- 4
- 312
- 50
- 14
- 336
- 324
- 217
- 2
- 185
- 960
- 120
- 2
- 561
- 21
- 3
- 2
- 30
- 270
- 10
- 4
- 6
- 1160
- 44
- 3
- 184
- 4
- 306
- 9
- 40
- 6
- 5
- 198
- 11
- 3
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