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

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If x + y = 10 and xy = 21, what is the value of x³ + y³?

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What is the HCF of 48 and 180?

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

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What is the slope of a line passing through the points (2, 3) and (4, 7)?

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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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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

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What is the LCM of 15 and 20?

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The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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