Ages 12–14🧮 Mathematics12 verified questions on this shelf

Simple formulae

Understand and use standard mathematical formulae; rearrange formulae to change the subject, performing inverse operations to isolate a different variable

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Question 1 of 3

In the formula V=πr2hV = \pi r^{2} h for the volume of a cylinder, which variable is the subject of the equation?

Question 2 of 3

The area A of a circular garden is given by A = π r², where r is the garden’s radius. Which expression correctly gives the radius r in terms of the area A?

Question 3 of 3

The area of a rectangle is given by the formula A = l × w. If the area is 84 cm² and the width is 7 cm, what is the length of the rectangle?

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Skill names and descriptions include the Marble Skill Taxonomy © Generative Spark, Inc. (withmarble.com), licensed under ODbL 1.0 (database) and CC BY-SA 4.0 (content). Practice questions are GlowGrades's own, each checked by independent verifiers that must agree before a child ever sees it.