Bounds & Error Intervals (Year 10)
Free printable UK Year 10 (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 9 · 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 number of people at a school fair is 360, correct to the nearest 10 people. Write the error interval for the true value, n, using inequality notation.
- 2.The volume of water in a tank is 153, correct to the nearest litre. Write the error interval for the true value, V, using inequality notation.
- 3.The length of a running track is 4540, correct to the nearest 10 cm. Write the error interval for the true value, l, using inequality notation.
- 4.The attendance at a football match is 36200, correct to the nearest 100 people. Write the error interval for the true value, n, using inequality notation.
- 5.The attendance at a football match is 30000, correct to the nearest 100 people. Write the error interval for the true value, n, using inequality notation.
- 6.The volume of water in a tank is 312, correct to the nearest litre. Write the error interval for the true value, V, using inequality notation.
- 7.The volume of water in a tank is 107, correct to the nearest litre. Find the UPPER BOUND (the greatest possible true value) of V.
- 8.The volume of water in a tank is 83, correct to the nearest litre. Find the UPPER BOUND (the greatest possible true value) of V.
- 9.The length of a running track is 6310, 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 275, correct to the nearest litre. Find the UPPER BOUND (the greatest possible true value) of V.
- 11.The mass of a suitcase is 29, correct to the nearest kg. Find the LOWER BOUND (the least possible true value) of m.
- 12.The volume of water in a tank is 211, correct to the nearest litre. Find the LOWER BOUND (the least possible true value) of V.
- 13.The length of a running track is 4380, correct to the nearest 10 cm. Find the LOWER BOUND (the least possible true value) of l.
- 14.The length of a garden path is 833, correct to the nearest cm. Find the LOWER BOUND (the least possible true value) of d.
- 15.A value m is known to satisfy 20.5 ≤ m < 21.5. 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 l is known to satisfy 8355 ≤ l < 8365. 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 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?
- 18.A value n is known to satisfy 41050 ≤ n < 41150. 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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