Topic Details (Notes format)

How to Solve Percent Proportions

Subject: Mathematics

Book: Maths Mastery

Percent proportion sets up the ratio part/whole = percent/100. If you want to find what percent of 60 is 12, you set 12/60 = x/100. Cross-multiplying yields 12 × 100 = 60x, so x = 20%. Similarly, for “What is 15% of 80?”, the proportion is x/80 = 15/100, resulting in x = 12. This approach is the bedrock for computing discounts, tip calculations, and test score conversions. Familiarity with percent proportions fosters a systematic, quick solution for many percentage-based problems across financial, academic, or daily contexts.

Practice Questions

If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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If x = 2 and y = 3, what is the value of (x^2 + y^2)?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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What is the sum of the interior angles of a hexagon?

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If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

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If sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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What is the sum of the first 20 odd numbers?

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The area of an equilateral triangle with side length 6 cm is:

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