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Using inequality notation for errors in calculations

Quiz by Oak National Academy: KS3 Maths (2)

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6 questions
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  • Q1
    __________ are the digits in a number that contribute to the accuracy of the number. The first significant figure is the first non-zero digit.
    Important numbers
    Real numbers
    Estimated numbers
    Significant figures
    30s
  • Q2
    When a number, x, is rounded to the nearest integer the result is 35. Select the numbers which complete the error interval for x: \square \leq x <\square
    34.5 and 35.5
    34.999 and 35.999
    35 and 45
    34.4 \dot 9 and 35.4 \dot 9
    30s
  • Q3
    A long road is made up of 3 sub roads. The 1st road measures 35 m (2 s.f), the 2nd road is 41 m (2 s.f) and the 3rd road is 48 m (2 s.f). Find the error interval for the length x of the long road.
    122 \leq x < 125
    122.5 \leq x < 125.5
    122.5 \leq x < 125.59
    124.5 \leq x < 126.5
    30s
  • Q4
    A wall is in an L-shape. All the lengths are given to 1 d.p or the nearest integer. Work out the error interval for the area of the wall.
    Question Image
    18 \leq x <23
    18.7875 \leq x <23.6375
    19.6375 \leq x < 22.7875
    18.96 \leq x <20.96
    30s
  • Q5
    A square has lengths in cm given to 1 decimal place. The error interval of the perimeter of the square is 31 \leq x <31.4. Work out the length of the square correct to 1 d.p.
    7.4
    7.2
    7.8
    8.0
    7.6
    30s
  • Q6
    A square has lengths in cm to 1 decimal place. The error interval of the area of the square is 30.8025 \leq x <31.9225. Work out the length of the square to 1 d.p.
    5.3 cm
    5.6 cm
    5.5 cm
    5.4 cm
    5.8 cm
    30s

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