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

The probability of rolling a sum of 7 with two dice is:

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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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A cube has a side length of 4 cm. What is its volume?

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If x^3 - 3x^2 + 4 = 0, what is one root of the equation?

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If x^2 - 6x + 9 = 0, what is the value of x?

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If the length of a rectangle is doubled and the width is halved, what is the change in area?

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If a:b = 5:7 and b:c = 6:11, what is a:c?

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The probability of getting an even number when rolling a die is:

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If x = 2 and y = 3, what is the value of (x^2 + y^2)?

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

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