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Measuring Lengths Precisely
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Measuring Lengths Precisely
A community workshop is checking whether a new timber frame will fit its site. Solve each task using metric units. Show working where useful, and include units in every measurement.
Plan and measure
Use sensible tools, clear technique and appropriate precision.
1.The workshop needs to measure a 12.4 m site boundary. Which tool is most suitable, and why is a 15 cm ruler a poor choice?
2.A steel ruler has millimetre divisions. The end of a strip lies between 186 mm and 187 mm. What is the finest measurement you can reliably record using that ruler alone?
3.A board starts at the 2.3 cm mark and ends at the 31.8 cm mark on a ruler. Find its length in centimetres and millimetres.
4.Choose every practice that improves a ruler measurement: (1) put the zero mark at the object’s start; (2) view the scale from directly above; (3) keep the ruler parallel to the object; (4) estimate extra decimal places that the scale cannot show.
- 1, 2 and 3
- 1 and 4 only
- 2 and 4 only
- All four
Workshop measurements
Use the sample data to check the frame dimensions and measurement quality.
Trial 1: 842 mm
Trial 2: 843 mm
Trial 3: 841 mm
5.Calculate the mean of the three timber readings. Give your answer in millimetres and centimetres.
6.The frame needs a timber length of 0.85 m. The measured timber is 842 mm. How much longer must the timber be?
7.True or false: If repeated measurements are close together, they must also be accurate. Explain your choice.
8.A builder measures a doorway as 2.04 m, while the plan specifies 2.00 m. State the difference in millimetres and give one practical consequence if the frame is made to the measured size.
9.A tape measure is hooked over the end of a plank, but the hook is loose and can slide slightly. Describe a sensible way to reduce uncertainty when measuring the plank, and state how you would report the result if the tape is marked every 1 mm.
2 printable pages
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