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Estimating Lengths Worksheet

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Estimating Lengths Worksheet

A community team is laying out a fun-run route and checking equipment. Use sensible estimates, choose suitable metric units, and show how you checked your thinking. For measuring tasks, record your own estimate before using a ruler or tape measure.

A quick guide to estimating

Use a familiar reference: a 30 cm ruler is about the length of a forearm, while 1 m is roughly one large step for many people. Choose units that suit the size: mm for tiny differences, cm for hand-sized objects, m for room-sized lengths, and km for routes. An estimate is not an exact measurement; it should be reasonable and its precision should match the tool and situation.

1.The route team estimates a straight path at 1.8 km. Which is the same length in metres?

18 m
180 m
1,800 m
18,000 m

2.A volunteer estimates a 30 cm ruler as 0.3 m. Explain why this is a sensible conversion and name a situation where metres would be a less convenient unit than centimetres.

3.Before using a tape measure, estimate the length of a pencil in centimetres. Write your estimate, then measure a pencil and record its actual length. Find the absolute difference between your estimate and measurement. (Answers depend on the pencil.)

4.A volunteer paces a 100 m section of the route in about 125 steps. Estimate the average length of one step in metres. Give your answer to 2 decimal places.

5.A runner says a 2 km route is about 200 m long. Identify the error and give the correct length in metres.

6.Choose the most suitable unit for each measurement: (a) thickness of a paper bib, (b) length of a table, (c) distance between two towns in Aotearoa New Zealand.

7.A measuring tape has marks at 0 m, 1 m, 2 m, 3 m and 4 m. A cone is placed at 2.6 m. On the number line, mark the cone's position and estimate how far it is from the 4 m mark.

8.Three possible lengths for a community hall are 3.5 m, 35 m and 350 m. Select the most plausible length, then explain why the other two are unlikely.

9.A 1.2 m banner is cut into 4 equal lengths. Estimate each length in centimetres, then calculate it exactly.

10.You need to estimate the width of a sports field without a measuring tape. Describe a practical strategy using a known reference or repeated steps, and explain one reason your estimate may be inaccurate.

11.True or false? A length written as 4.376 km is always a better estimate than 4.4 km, even if it was judged by eye. Explain briefly.