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Estimate and Measure Lengths
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Estimate and Measure Lengths
Use metric units. Estimate before calculating or measuring, and show your working where asked.
Length at the theme park
Hana is helping plan a new theme-park attraction. Use the clues and measurements below to solve the problems.
1.Choose the most suitable unit for each length: the thickness of a ride ticket; the length of a queue barrier; the distance between two attractions. Use mm, cm, or m.
2.A ride sign is about 2 m tall. Which is the most sensible estimate for its height? Choose one.
- 20 cm
- 200 cm
- 2,000 cm
- 20,000 cm
3.Hana estimates a bench is 1.5 m long. She measures it as 148 cm. Convert her estimate to centimetres, then find the difference between the estimate and the measurement.
4.Put these lengths in order from shortest to longest: 0.85 m, 92 cm, 1,050 mm, 0.9 m. Show each in centimetres first.
5.The queue barrier measures 2.4 m. Estimate its length in centimetres, then calculate the exact conversion.
6.Three identical panels are placed end to end. Each panel is 85 cm long. Estimate the total length, then calculate it exactly in metres.
7.A map-free route between the entrance and the ride is 1.35 km. Convert this distance to metres. Then estimate how many 100 m sections make up the route.
8.Tane says, “A 750 mm display is longer than a 70 cm display.” Is he correct? Convert both lengths to the same unit and explain.
9.Nathan estimates the width of an attraction entrance as 3 m. His tape measure shows 286 cm. Find his estimation error in centimetres, and state whether he overestimated or underestimated.
10.The park needs about 12 m of rope for a temporary queue lane. Rope is sold in 2.5 m lengths. Estimate how many lengths are needed, then work out the minimum whole number to buy.
11.Give one situation at a theme park where an estimate is useful before an exact measurement, and one situation where an exact measurement is essential. Explain why.
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