AQA · Mathematics · 8300

GCSE Maths: Rounding: significant figures

Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Rounding: significant figures (Corbettmaths Video 279), 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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  1. What is 236 rounded to one significant figure?

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    200

  2. What is 74.86 rounded to 1 significant figure?

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    70

  3. What is 6793 rounded to one significant figure?

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    7000

  4. What is 3540 rounded to 2 significant figures?

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    3500

  5. What is 17635 rounded to two significant figures?

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    18000

  6. What is 0.0683 rounded to 1 significant figure?

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    0.07

  7. What is 0.1826 rounded to 2 significant figures?

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    0.18

  8. What is 0.0761 rounded to one significant figure?

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    0.08

  9. What is 9.99 rounded to one significant figure?

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    10

  10. What is 0.0001921 rounded to 2 significant figures?

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    0.00019

  11. What is 84472 rounded to three significant figures?

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    84500

  12. What is 0.123456 rounded to four significant figures?

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    0.1235

  13. When rounding to a specified number of significant figures, what must you do before rounding if given a calculation?

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    First calculate the full answer (using all digits from your calculator display), then round the final result to the required number of significant figures.

  14. If a number is stated as 300 correct to 1 significant figure, what is the lowest possible actual value?

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    250. (The number could be anywhere from 250 up to just below 350.)

  15. If a number is stated as 300 correct to 1 significant figure, what is the greatest possible actual value?

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    349 (or 349.999...). (The number could be up to just below 350.)

  16. What is 5.791 × 10⁵ rounded to two significant figures, expressed as an ordinary number?

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    580000. (Round 5.791 to 5.8, giving 5.8 × 10⁵ = 580000.)

  17. What is 1.48 × 10⁻⁴ rounded to one significant figure, expressed as an ordinary number?

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    0.0001. (Round 1.48 to 1, giving 1 × 10⁻⁴ = 0.0001.)

  18. When a number has been rounded to a certain number of significant figures, what range of actual values does it represent?

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    It represents all values that would round to that number. The range extends from half a unit below the last significant digit up to (but not including) half a unit above.

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