Bounds & Error Intervals (Year 11)
Free printable UK Year 11 (GCSE Foundation) maths worksheet: write the error interval for a rounded measurement using inequality notation, and find upper and lower bounds. Every answer computed.
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Grade 10 · Math worksheet
Name
Date
Math
Bounds & Error Intervals
For each rounded measurement, find the error interval, the upper bound, or the lower bound; or work backwards from an error interval to the original rounded value and its accuracy.
- 1.The mass of a suitcase is 22, correct to the nearest kg. Write the error interval for the true value, m, using inequality notation.
- 2.The attendance at a football match is 11600, correct to the nearest 100 people. Write the error interval for the true value, n, using inequality notation.
- 3.The length of a garden path is 379, correct to the nearest cm. Write the error interval for the true value, d, using inequality notation.
- 4.The attendance at a football match is 12200, correct to the nearest 100 people. Write the error interval for the true value, n, using inequality notation.
- 5.The length of a garden path is 466, correct to the nearest cm. Write the error interval for the true value, d, using inequality notation.
- 6.The length of a running track is 3520, correct to the nearest 10 cm. Write the error interval for the true value, l, using inequality notation.
- 7.The attendance at a football match is 35100, correct to the nearest 100 people. Find the UPPER BOUND (the greatest possible true value) of n.
- 8.The number of people at a school fair is 360, correct to the nearest 10 people. Find the UPPER BOUND (the greatest possible true value) of n.
- 9.The length of a running track is 6780, correct to the nearest 10 cm. Find the UPPER BOUND (the greatest possible true value) of l.
- 10.The volume of water in a tank is 222, correct to the nearest litre. Find the UPPER BOUND (the greatest possible true value) of V.
- 11.The number of people at a school fair is 590, correct to the nearest 10 people. Find the LOWER BOUND (the least possible true value) of n.
- 12.The number of people at a school fair is 380, correct to the nearest 10 people. Find the LOWER BOUND (the least possible true value) of n.
- 13.The number of people at a school fair is 120, correct to the nearest 10 people. Find the LOWER BOUND (the least possible true value) of n.
- 14.The number of people at a school fair is 340, correct to the nearest 10 people. Find the LOWER BOUND (the least possible true value) of n.
- 15.A value V is known to satisfy 266.5 ≤ V < 267.5. This error interval came from rounding a measurement. What was the rounded value, and to what degree of accuracy was it rounded?
- 16.A value n is known to satisfy 395 ≤ n < 405. This error interval came from rounding a measurement. What was the rounded value, and to what degree of accuracy was it rounded?
- 17.A value d is known to satisfy 335.5 ≤ d < 336.5. This error interval came from rounding a measurement. What was the rounded value, and to what degree of accuracy was it rounded?
- 18.A value m is known to satisfy 30.5 ≤ m < 31.5. This error interval came from rounding a measurement. What was the rounded value, and to what degree of accuracy was it rounded?
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