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 a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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What is the length of the diagonal of a square with a side length of 7 cm?

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If x^2 + 4x + 4 = 0, what is the value of x?

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The LCM of 12 and 15 is:

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A car travels 240 km in 4 hours. What is its average speed?

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

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What is the sum of the first 50 positive integers?

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If x^2 - 5x + 6 = 0, what are the roots?

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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