Limits Of Accuracy

17 Questions | Total Attempts: 33

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Limits Of Accuracy

Working out the LOWER and UPPER bounds of values. Solving problems


Questions and Answers
  • 1. 
    Round 45.678 to 3 significant figures.
  • 2. 
    Round 19.96 to 2 sig.fig.
  • 3. 
    Round 0.3213 to 2 decimal places
  • 4. 
    Round 45.563 to 2 decimal places.
  • 5. 
    A length L has been rounded to 5cm to the nearest cm. Complete with the lower and upper bounds  [Blank] ≤ L < [Blank]
  • 6. 
    During a car journey, my average speed, s, was 40mph to the nearest 10mph Complete the "error interval" (That means find the lower and the upper bounds) [Blank] ≤ s < [Blank]
  • 7. 
    The length, L , of the journey to visit my friends is 75km rounded to the nearest 5km. Complete the error interval (lower bound and upper bound) [Blank] ≤ L < [Blank]
  • 8. 
    What is the error interval of the length L, when L is 7cm rounded to 1 sig.fig.?
    • A. 

      6.9 cm ≤ L < 7.1 cm

    • B. 

      6.5 cm ≤ L < 7.5 cm

    • C. 

      6.99 cm ≤ L < 7.01 cm

    • D. 

      6.95 cm ≤ L < 7.05 cm

  • 9. 
    The length L has been rounded to 9.8 m correct to 1 decimal places.What is the error interval of the length L?
    • A. 

      9.7 m ≤ L < 9.9 m

    • B. 

      9.75 m ≤ L < 9.85 m

    • C. 

      9.79 m ≤ L < 9.81 m

    • D. 

      9 m ≤ L < 10 m

  • 10. 
    A weight m is 100kg correct to 2 sig. fig.​What is the error interval of this weight? 
    • A. 

      99.5 kg ≤ m < 100.5 kg

    • B. 

      90 kg ≤ m < 110 kg

    • C. 

      99 kg ≤ m < 101 kg

    • D. 

      95 kg ≤ m < 105 kg

  • 11. 
    A weight m is 100kg correct to 3 sig. fig.​What is the error interval of this weight? 
    • A. 

      99.5 kg ≤ m < 100.5 kg

    • B. 

      90 kg ≤ m < 110 kg

    • C. 

      99 kg ≤ m < 101 kg

    • D. 

      95 kg ≤ m < 105 kg

  • 12. 
    A weight m is 100kg correct to 1 sig. fig.​What is the error interval of this weight? 
    • A. 

      50 kg ≤ m < 150 kg

    • B. 

      0 kg ≤ m < 100 kg

    • C. 

      90 kg ≤ m < 110 kg

    • D. 

      95 kg ≤ m < 105 kg

  • 13. 
    A parking space is 4.8 metres long to the nearest tenth of a metre.A car is 4.5 metres long to the nearest  half a metre.Which of the following statements is definitely true?
    • A. 

      The space is big enough

    • B. 

      The space is not big enough

    • C. 

      It is impossible to tel whether or not the space is big enough

  • 14. 
    Cans have a mass of 250 grams to the nearest 10 grams. What is the minimum mass of 10 of these cans?        [Blank] grams
  • 15. 
    A rectangle measures 3cm by 8cm both correct to the nearest cm. What is the upper bound of the AREA of this rectangle?         [Blank]  cm²
  • 16. 
    A rectangular garden has sides 8m and 5m, measured to the nearest metre. What is the upper bound of the area?    [Blank] m²
  • 17. 
    A rectangular garden has sides 8m and 5m, measured to the nearest metre. What is the lower bound of the perimeter?     [Blank] m