Math Tolerance: Finding Ranges and Comparing Limits

A box can hold items that weigh between 10 and 15 pounds. If a toy weighs 12 pounds, does it fit within the tolerance range?

• No, it exceeds the weight limit.

• Yes, but only if the box is empty.

• No, it is too light to fit.

• Yes, it fits within the tolerance range.

A piece of wood is cut to be 24 inches long, but it can be between 23 and 25 inches. Is the piece of wood within the tolerance?

• Yes, the piece of wood is too long.

• No, the piece of wood is exactly 24 inches.

• No, the piece of wood is too short.

• Yes, the piece of wood is within the tolerance.

Two machines produce parts that must be 5 cm wide. Machine A produces parts that are 4.8 cm to 5.2 cm wide, while Machine B produces parts that are 5.1 cm to 5.5 cm wide. Which machine has a tighter tolerance?

• Machine A

• Machine B

• Both machines have the same tolerance

• Neither machine meets the tolerance requirement

A recipe calls for 2 cups of flour, with a tolerance of 0.2 cups. What is the range of flour that can be used?

• 1.5 to 1.9 cups

• 1.8 to 2.2 cups

• 0.5 to 1.0 cups

• 2.5 to 3.0 cups

A car tire should be inflated to a pressure of 30 psi, with a tolerance of 2 psi. What is the acceptable range for the tire pressure?

• 26 psi to 30 psi

• 28 psi to 32 psi

• 30 psi to 34 psi

• 25 psi to 29 psi

A school has a tolerance for classroom temperatures between 68°F and 72°F. If the temperature is 70°F, is it acceptable?

• No, it is too hot.

• Yes, it is acceptable.

• No, it is too cold.

• Yes, but only for a short time.

A factory produces bolts that should be 10 mm in diameter, with a tolerance of 0.5 mm. What is the range of acceptable diameters for the bolts?

• 10 mm to 11 mm

• 9 mm to 10 mm

• 9.5 mm to 10.5 mm

• 8 mm to 9 mm

A fence must be 6 feet tall, with a tolerance of 0.5 feet. What is the minimum and maximum height allowed for the fence?

• Minimum height: 5 feet, Maximum height: 7 feet

• Minimum height: 6 feet, Maximum height: 7 feet

• Minimum height: 5.5 feet, Maximum height: 6.5 feet

• Minimum height: 5.5 feet, Maximum height: 6 feet

A student measures a pencil and finds it to be 7.5 inches long, with a tolerance of 0.3 inches. Is the pencil within the acceptable range?

• Yes, the pencil is within the acceptable range.

• Yes, but only if measured with a ruler.

• No, the pencil is too short.

• No, the pencil is too long.

Two types of fabric are measured for width. Fabric A has a tolerance of 1 inch (width 40-42 inches), while Fabric B has a tolerance of 0.5 inches (width 41-41.5 inches). Which fabric has a wider tolerance?

• Fabric A has a wider tolerance.

• Fabric A has a narrower tolerance.

• Both fabrics have the same tolerance.

• Fabric B has a wider tolerance.