Measuring with Tolerance: A 5th Grade Challenge

A carpenter is building a table and needs the legs to be 30 inches long, with a tolerance of 1 inch. What is the acceptable range for the length of each leg?

• 25 to 35 inches

• 28 to 32 inches

• 30 to 32 inches

• 29 to 31 inches

A factory produces metal rods that should be 10 cm long, with a tolerance of 0.5 cm. If one rod measures 9.8 cm, is it within the tolerance level?

• Yes, it is within the tolerance level.

• No, it is too short.

• No, it is outside the tolerance level.

• Yes, it exceeds the maximum length.

A baker is making cookies and wants each cookie to weigh 50 grams, with a tolerance of 2 grams. If a cookie weighs 48 grams, is it acceptable?

• Yes, but only if it weighs 52 grams.

• Yes, it is acceptable.

• No, it must weigh exactly 50 grams.

• No, it is too light.

A teacher measures the height of plants in a science project. The average height of the plants is 15 cm, with a tolerance of 3 cm. What is the range of acceptable heights for the plants?

• 8 cm to 12 cm

• 12 cm to 18 cm

• 10 cm to 14 cm

• 16 cm to 20 cm

A manufacturer produces bottles that should hold 500 ml of liquid, with a tolerance of 10 ml. If a bottle holds 495 ml, is it within the acceptable range?

• Yes, it is within the acceptable range.

• No, it is too low to be acceptable.

• Yes, but only by 5 ml.

• No, it exceeds the tolerance.

A student measures the length of a pencil and finds it to be 7.5 inches, with a tolerance of 0.2 inches. What is the acceptable range for the pencil's length?

• 7.2 to 7.4 inches

• 6.5 to 6.9 inches

• 7.0 to 8.0 inches

• 7.3 to 7.7 inches

A construction worker needs bricks that are 8 inches long, with a tolerance of 0.5 inches. If a brick measures 8.3 inches, is it acceptable?

• No, the brick is too long.

• No, the brick is outside the acceptable range.

• Yes, the brick is acceptable.

• Yes, but only if it measures exactly 8 inches.

A jeweler is crafting a ring that should weigh 5 grams, with a tolerance of 0.3 grams. If the ring weighs 4.8 grams, is it within the tolerance level?

• Yes, it is within the tolerance level.

• No, it is too light by 0.5 grams.

• Yes, but only by 0.1 grams.

• No, it exceeds the tolerance level.

A gardener plants seeds that should be spaced 12 inches apart, with a tolerance of 1 inch. If two seeds are planted 11 inches apart, are they within the acceptable range?

• Yes, they are within the acceptable range.

• No, they should be at least 13 inches apart.

• Yes, but only if they are exactly 12 inches apart.

• No, they are too close together.

A teacher collects test scores from students. The average score is 85, with a tolerance of 5 points. What is the range of acceptable scores for the class?

• 90 to 95

• 75 to 85

• 70 to 80

• 80 to 90