# Worksheet: Upper and Lower Bounds

In this worksheet we will practice calculating the maximum and minimum possible values of a measurement.

Q1:

A paper has a length of 11 cm, measured to the nearest 1 mm. What are the upper and lower bounds?

• ALower bound = 12.95 cm, upper bound = 13.05 cm
• BLower bound = 11.1 cm, upper bound = 10.9 cm
• CLower bound = 10.95 cm, upper bound = 11.05 cm
• DLower bound = 11.05 cm, upper bound = 10.95 cm
• ELower bound = 10.9 cm, upper bound = 11.1 cm

Q2:

A box has weight of 24 kg to the nearest 1 kg. What is its error interval?

• A
• B
• C
• D
• E

Q3:

An electrical cable has length of 122 cm to the nearest 1 cm. What is its error interval?

• A
• B
• C
• D
• E

Q4:

A rectangle has a base of 5 cm to the nearest 1 mm and a height of 2 cm to the nearest 1 mm. Write down the error interval that represents the possible area, , of the rectangle.

• A
• B
• C
• D
• E

Q5:

A rectangle has a length of 12.4 cm and a width of 3.2 cm. Both are measured accurate to the nearest 1 decimal place. What are the upper and lower bounds that represent the perimeter of the rectangle?

• A,
• B,
• C,
• D,
• E,