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Precise Length Measurement
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Precise Length Measurement
A survey team is checking parts for a small footbridge. Work in millimetres (mm) or centimetres (cm) as requested. Include units, show working where useful, and use sensible significant figures.
Plan the measurement
Choose suitable tools and methods before recording a result.
1.The team needs the length of a 4.8 m bridge beam. Which tool is the most suitable for measuring it in one continuous measurement?
- A 15 cm ruler
- A 5 m tape measure
- A protractor
- A set square
2.A steel pin measures 63 mm. Convert its length to centimetres.
3.A bolt is measured from the 12 mm mark to the 87 mm mark on a ruler. What is the bolt's length?
4.A scale has a reading of 4.6 cm. Mark 4.6 cm on the number line, then give the same length in millimetres.
Check precision and reliability
A measurement is only useful if the method and recorded precision make sense.
5.A ruler is marked in 1 mm divisions. What is the finest interval that can be read directly from its scale?
- 1 m
- 1 cm
- 1 mm
- 0.01 mm
6.Three measurements of the same timber strip are 82.1 cm, 82.3 cm and 82.2 cm. Calculate the mean length and record it to the nearest millimetre.
7.True or false: If you look at a ruler from above and slightly to one side, the reading may appear different because of parallax.
TrueFalse
8.A student measures a strip as 14.7 cm, 14.8 cm and 14.7 cm. Calculate the range of the readings and explain what the range tells you.
9.The end of a 30 cm ruler is damaged, so the zero mark cannot be used. Describe a reliable method for measuring a short piece of wire with this ruler.
10.A beam is 3.75 m long. How many millimetres long is it? Show the conversion.
11.A board is recorded as 1.2 m long using a tape marked every 1 cm. Explain why recording it as 1.2000 m would give a misleading impression.
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