Topic Details (Notes format)

How to Convert Units (Metric System)

Subject: Mathematics

Book: Maths Mastery

Unit conversion is fundamental in science, engineering, and everyday tasks like cooking or traveling. Within the metric system, units scale by powers of ten, simplifying conversions. Common prefixes include kilo- (1,000), centi- (1/100), and milli- (1/1,000). For example, converting 2.5 kilometers to meters involves 2.5 × 1,000 = 2,500 meters. Similarly, 350 milliliters can be written as 0.35 liters. Memorizing base relationships—like 1 kg = 1,000 g or 1 m = 100 cm—lets you fluidly shift between units. This skill is crucial for tasks ranging from diet planning to constructing measurement-based projects and scientific research protocols.

Practice Questions

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

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What is the remainder when 5^100 is divided by 3?

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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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The LCM of 12 and 15 is:

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A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

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If the probability of an event is 1/4, what is the probability of its complement?

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If the product of two numbers is 120 and their sum is 26, what are the numbers?

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

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

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What is the HCF of 72 and 120?

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