AQA · Mathematics · 8300
GCSE Maths: Decimals: recurring decimals
Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Decimals: recurring decimals (Corbettmaths Video 96), 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 is a recurring decimal?
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A decimal in which one or more digits repeat indefinitely.
What fraction equals the recurring decimal 0.333...?
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1/3
What recurring decimal does the fraction 2/3 produce?
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0.666... (or 0.6̇)
What recurring decimal does the fraction 1/6 produce?
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0.1666... (or 0.16̇)
What method is used to convert a recurring decimal to a fraction?
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Algebraic method: Set the decimal equal to x, multiply by an appropriate power of 10, subtract to eliminate the recurring part, then solve for x.
What recurring decimal does the fraction 4/7 produce?
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0.571428571428... (or 0.5̇7̇1̇4̇2̇8̇)
What recurring decimal does the fraction 3/11 produce?
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0.272727... (or 0.2̇7̇)
In the recurring decimal 0.5333..., which digit(s) recur?
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Only the 3 recurs. The 5 does not recur.
What is the simplified fraction form of the recurring decimal 0.121212...?
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4/33
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