AQA · Mathematics · 8300
GCSE Maths: Number: cube numbers
Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Number: cube numbers (Corbettmaths Video 212), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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What does it mean to cube a number?
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To multiply the number by itself three times. For example, 4³ = 4 × 4 × 4.
The notation for "5 cubed" is written as ?
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5³
What is 2³?
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8 (because 2 × 2 × 2 = 8)
What is 3³?
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27 (because 3 × 3 × 3 = 27)
What is 10³?
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1000 (because 10 × 10 × 10 = 1000)
What are the first five cube numbers?
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1, 8, 27, 64, 125 (which are 1³, 2³, 3³, 4³, 5³)
What is (−2)³?
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−8 (because −2 × −2 × −2 = −8). The cube of a negative number is negative.
Is it true that cubing a number always makes it bigger?
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No. Cubing numbers between 0 and 1 (like 0.5³ = 0.125) makes them smaller, and cubing negative numbers makes them more negative.
What is the cube root of 64?
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4 (because 4³ = 64)
Name a number that is both a square number and a cube number.
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1, 64, or 729 are examples. These are sixth powers (1 = 1⁶, 64 = 2⁶, 729 = 3⁶).
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