Unitary Method
ICSE · Class 7 · Mathematics
All formulas from Unitary Method in ICSE Class 7 Mathematics. Key equations, constants, and identities for board exam preparation.
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Formulas
Core idea
one day's work = 1 / No. of days required to complete the work
number of days required to complete a work = 1 / One day work
Time required to do a certain work = Work to be done / Work done in unit time
Direct variation
value of required quantity = value of unit quantity × number of units
Arrow method cross ratio: (value on the head)/(value on the tail) for one arrow = (value on the head)/(value on the tail) for the other arrow
Inverse variation
value of required quantity = value from unit case adjusted inversely
Arrow method cross ratio: (value on the head)/(value on the tail) for one arrow = (value on the head)/(value on the tail) for the other arrow
Worked examples to remember
₹ x / ₹ 400 = 28 / 10 => x = 1,120
x / 45 = 0.6 / 0.75 => x = 36
4 × 5 = 20; 20 / 4 = 5
60 × 4 = 240; 240 / 3 = 80
2000 ÷ (8 / 15) = 3750; 3750 × (3 / 5) = 2250
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