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Measuring Length with Scales
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Measuring Length with Scales
Dylan, Bodhi and Grace are checking distances and equipment for a cycling race. Read each scale carefully. Use mm, cm or m as appropriate, and show your thinking for calculations.
Read the race-day scales
Use the marked number lines to answer Questions 1–2. Each small interval is the same size.
1.A handlebar grip is measured on a scale from 0 to 10 cm. The scale has 10 equal intervals, with a mark at every whole centimetre. Its end is at the seventh mark after zero. How long is the grip?
2.A tyre lever starts at 0 cm on a scale from 0 to 20 cm. A close-up of the scale from 13 cm to 14 cm shows the lever ending halfway between 13 cm and 14 cm. Estimate its length to the nearest millimetre.
3.A pump is 32 cm long. How many millimetres is that? Choose the correct answer.
- 32 mm
- 320 mm
- 3,200 mm
- 0.32 mm
Choose tools and check units
A good measurement begins with an appropriate tool and a sensible unit.
4.Bodhi needs to measure the full length of a race track, about 2 km. Which is the most sensible unit to record the track length in?
- millimetres
- centimetres
- metres
- kilometres
5.Grace measures a bike frame tube with a ruler. Name two steps that help him measure accurately.
6.A ruler has a chipped end, so the zero mark cannot be used. The chain begins at 2 cm and ends at 18 cm. What is the chain’s length? Explain the calculation.
Plan and solve
Use conversions and estimation to help the team prepare.
7.Dylan checks a 1.5 m banner that will hang beside the course. How many centimetres long is the banner?
8.A repair stand is 1 m 25 cm tall. Grace says it is 125 cm tall. Is he correct? Explain how you know.
9.The team needs 3 m of safety tape. They have one 185 cm piece and one 95 cm piece. How many more centimetres of tape do they need?
10.Before checking, Bodhi estimates a bike wheel’s diameter as 70 cm. Her measurement is 68 cm. Is her estimate reasonable? Give a reason.
11.Make a scale for a 9 cm race-number strip: draw a straight line 9 cm long and add marks at every 1 cm. Label the start at 0 and the finish at 9.
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