# Worksheet: Measuring Lengths

In this worksheet, we will practice identifying correct and incorrect uses of rulers for measuring lengths.

Q1:

Liam uses two centimeter rulers to measure the length of a straight line, as shown in the diagram. He determines that the length of the line is 19.2 cm. Which of the following statements explains why this answer is incorrect? • AThe two rulers have not been placed end to end.
• BThe rulers are not parallel to the line.
• CMeasurements using a ruler should always be rounded up; thus, the length of the line should be recorded as 20 cm.
• DThe second ruler has been placed the wrong way around.
• EThe maximum resolution of the ruler is 1 cm; thus, the length of the line should be recorded as 19 cm.

Q2:

Scarlett uses a centimeter ruler to measure the length of a straight line, as shown in the diagram. She determines that the length of the line is 10.4 cm. Which of the following statements explains why this answer is incorrect? • AThe ruler is not parallel to the line; thus, the line is actually longer than 10.4 cm.
• BThe ruler is not parallel to the line; thus, the line is actually shorter than 10.4 cm.
• CMeasurements using a ruler should always be rounded up; thus, the length of the line should be recorded as 11 cm.
• DThe maximum resolution of the ruler is 1 cm; thus, the length of the line should be recorded as 10 cm.

Q3:

Matthew uses two rulers to measure the length of a straight line, as shown in the diagram. He determines that the length of the line is 34 cm. Which of the following statements explains why this answer is incorrect? • AHe has not placed the end of the first ruler at the end of the line.
• BHe has used the values from the centimeter side of one ruler and the inches side of the other.
• CHe has not placed the rulers end to end.
• DThe rulers are not parallel to the line.
• EHe has measured from the wrong end of the centimeter line with the second ruler.

Q4:

Sophia uses a centimeter ruler to measure the length of a straight line, as shown in the diagram. She determines that the length of the line is 9.4 cm. Which of the following statements explains why this answer is incorrect? • AThe maximum resolution of the ruler is 1 cm; thus, the length of the line should be recorded as 9 cm.
• BThe ruler is not parallel to the line.
• CThe 0 marker of the ruler was not positioned at the start of the line; thus, the line is actually shorter than 9.4 cm.
• DThe 0 marker of the ruler was not positioned at the start of the line; thus, the line is actually longer than 9.4 cm.
• EMeasurements using a ruler should always be rounded up; thus, the length of the line should be recorded as 10 cm.

Q5:

Which of the following items can be used to measure the width of a wire?

• AA balance
• BA meter ruler
• CA thermometer
• DA micrometer
• EA protractor

Q6:

David uses a centimeter ruler to measure the length of a straight line, as shown in the diagram. He determines that the length of the line is 2.8 cm. Which of the following statements explains why this answer is incorrect? • AThe ruler is not parallel to the line; thus, the line is actually shorter than 2.8 cm.
• BMeasurements using a ruler should always be rounded up; thus, the length of the line should be recorded as 3 cm.
• CThe maximum resolution of the ruler is 1 cm; thus, the length of the line should be recorded as 3 cm.
• DHe has measured the line from the wrong end of the ruler. The line is actually 9.2 cm long.
• EThe ruler is not parallel to the line; thus, the line is actually longer than 2.8 cm.

Q7:

Which of the following items can be used to measure lengths?

• AA thermometer
• BA stopwatch
• CA protractor
• DA ruler
• EA balance

Q8:

Anthony uses two centimeter rulers to measure the length of a straight line, as shown in the diagram. He determines that the length of the line is 17.1 cm. Which of the following statements correctly explains why this answer is incorrect? • AThe maximum resolution of the ruler is 1 cm. Thus, the length of the line should be recorded as 17 cm.
• BThe ruler is not parallel to the line.
• CHe has positioned the second ruler at the end of the first one, and there is a space in between. Thus, the line is actually shorter than 17.1 cm.
• DMeasurements using a ruler should always be rounded up. Thus, the length of the line should be recorded as 18 cm.
• EHe has positioned the second ruler at the end of the first one, and there is a space in between. Thus, the line is actually longer than 17.1 cm.

Q9:

Matthew uses a ruler to measure the length of a line, as shown in the diagram. He determines that the length of the line is 6.0 cm. Which of the following statements explains why this answer is incorrect?

• AThe 10 cm reading on the ruler is not parallel to the end of the line.
• BThe 0 cm reading on the ruler is not parallel to the end of the line.
• CThe endpoint of the curve lies on the 6.2 cm reading.
• DThe line is curved, so its length cannot be easily measured with a ruler. The line is actually shorter than 6.0 cm.
• EThe line is curved, so its length cannot be easily measured with a ruler. The line is actually longer than 6.0 cm.

Q10:

Chantel uses a centimeter ruler to measure the length of a straight line, as shown in the diagram. She determines that the length of the line is 18.2 cm. Which of the following statements explains why this answer is incorrect?

• AMeasurements using a ruler should always be rounded up; thus, the length of the line should be recorded as 19 cm.
• BThe ruler is not parallel to the line. The line is actually shorter than 18.2 cm.
• CThe ruler is not parallel to the line. The line is actually longer than 18.2 cm.
• DThe zero reading is not vertically aligned with the line’s start point.
• EThe maximum resolution of the ruler is 1 cm; thus, the length of the line should be recorded as 18 cm.