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

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

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A train 150 m long passes a pole in 15 seconds. What is its 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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What is the sum of all even numbers between 1 and 100?

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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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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If the perimeter of a square is 36 cm, what is the length of its diagonal?

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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

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

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