Help your students prepare for their Maths GCSE with this free unitary method worksheet of 33 questions and answers
The unitary method is a method that involves finding the value of a single unit and using that to find the value of a different number of units of something. For example, if a factory produces 3000 tubes of toothpaste in 4 days, we can find the number of tubes of toothpaste produced in 5 days using the unitary method. First we calculate the number of tubes of toothpaste in 1 day, 3000 divided by 4 = 750. We can then multiply by 5 to find the number produced in 5 days: 750 times 5 = 3750.
The above example has two variants with direct variation, commonly referred to as direct proportional. The unitary method can also be used for problems involving indirect variation (inverse proportion). For example, if a project is 6 days work for 3 people, we can work out how many days work it would be for 2 people. First, we find the number of days for 1 person, 6 times 3 = 18. We can then divide by 2 to find the number of days for 2 people: 18 divided by 2 = 9.
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