Upper & Lower Bounds in Calculations (Year 11)
Free printable UK Year 11 (GCSE Higher) maths worksheet: use upper and lower bounds of rounded measurements to find the maximum and minimum possible sum, product, quotient or difference.
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Grade 10 · Math worksheet
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Upper & Lower Bounds in Calculations
Use the upper and lower bounds of each rounded measurement to find the maximum and minimum possible values of the sum, product, quotient or difference. Remember: the largest result usually needs one large bound and one small bound, not always two large ones.
- 1.Two parcels have masses of 70 kg and 150 kg, each correct to the nearest 10 kg. Find the maximum possible total mass and the minimum possible total mass of the two parcels together.
- 2.Two parcels have masses of 100 kg and 200 kg, each correct to the nearest 10 kg. Find the maximum possible total mass and the minimum possible total mass of the two parcels together.
- 3.Two parcels have masses of 120 kg and 110 kg, each correct to the nearest 10 kg. Find the maximum possible total mass and the minimum possible total mass of the two parcels together.
- 4.Two parcels have masses of 190 kg and 110 kg, each correct to the nearest 10 kg. Find the maximum possible total mass and the minimum possible total mass of the two parcels together.
- 5.A rectangle has a length of 23 cm and a width of 9 cm, each correct to the nearest cm. Find the maximum possible area and the minimum possible area of the rectangle, in cm2.
- 6.A rectangle has a length of 40 cm and a width of 40 cm, each correct to the nearest cm. Find the maximum possible area and the minimum possible area of the rectangle, in cm2.
- 7.A rectangle has a length of 30 cm and a width of 21 cm, each correct to the nearest cm. Find the maximum possible area and the minimum possible area of the rectangle, in cm2.
- 8.A rectangle has a length of 37 cm and a width of 18 cm, each correct to the nearest cm. Find the maximum possible area and the minimum possible area of the rectangle, in cm2.
- 9.A car travels 150 km, correct to the nearest km, in 34 minutes, correct to the nearest minute. Find the maximum possible average speed and the minimum possible average speed, in km/h, each to 1 decimal place.
- 10.A car travels 80 km, correct to the nearest km, in 62 minutes, correct to the nearest minute. Find the maximum possible average speed and the minimum possible average speed, in km/h, each to 1 decimal place.
- 11.A car travels 105 km, correct to the nearest km, in 48 minutes, correct to the nearest minute. Find the maximum possible average speed and the minimum possible average speed, in km/h, each to 1 decimal place.
- 12.A car travels 131 km, correct to the nearest km, in 35 minutes, correct to the nearest minute. Find the maximum possible average speed and the minimum possible average speed, in km/h, each to 1 decimal place.
- 13.Building A is 177 m tall and Building B is 118 m tall, each height correct to the nearest metre. Find the maximum possible difference in height and the minimum possible difference in height between the two buildings.
- 14.Building A is 226 m tall and Building B is 147 m tall, each height correct to the nearest metre. Find the maximum possible difference in height and the minimum possible difference in height between the two buildings.
- 15.Building A is 161 m tall and Building B is 117 m tall, each height correct to the nearest metre. Find the maximum possible difference in height and the minimum possible difference in height between the two buildings.
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