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 sum of all angles in a hexagon?

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If 3x = 81, what is the value of x?

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The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

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If two complementary angles differ by 30°, what are the angles?

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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If 2x = 16, what is the value of x?

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

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What is the cube root of 729?

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If the average of five consecutive odd numbers is 25, what is the largest number?

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If x:y = 4:5 and y:z = 2:3, what is x:z?

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