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

A car covers a distance of 150 km in 2.5 hours. What is its average speed?

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If x + 1/x = 5, what is the value of x^2 + 1/x^2?

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If a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?

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What is the square root of 144?

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If sin(A) = 1/2 and A is acute, what is the value of A?

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What is the 7th term of the arithmetic progression 3, 6, 9, 12,...?

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What is the LCM of 15 and 20?

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If a square has a perimeter of 64 cm, what is its area?

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What is the sum of all odd numbers from 1 to 99?

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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