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Introduction to Measurement

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Introduction to Measurement

A community group is setting up a stall for a weekend event. Use suitable metric units, convert between units, and check whether measurements make sense. Show working and include units in every answer.

Choose and convert units

Use mm, cm, m and km for length; g and kg for mass; mL and L for capacity. Remember: 10 mm = 1 cm, 100 cm = 1 m, 1000 m = 1 km, 1000 g = 1 kg and 1000 mL = 1 L.

1.The stall banner is 2.4 m long. Convert its length to centimetres.

2.A serving jug holds 1.5 L of lemonade. How many millilitres is this?

3.The team buys 3.25 kg of apples. Convert this mass to grams.

4.Which is the most appropriate unit to record the mass of one scone: milligrams (mg), grams (g), kilograms (kg) or tonnes (t)? Explain briefly.

Measure with care

A measurement is only useful when its unit and precision suit the task. Estimate first, then calculate or measure using appropriate equipment.

5.A recipe needs 750 mL of water. The measuring jug is marked in 100 mL intervals. Between which two marked values should you read 750 mL, and what is the halfway point?

6.A supplier delivers 2.8 kg of potatoes in bags of 400 g each. How many bags is that?

7.A rectangular table top is 1.8 m long and 0.75 m wide. Calculate its area in square metres.

8.The stall needs 6 m of string. String is sold in 250 cm lengths. What is the smallest whole number of lengths to buy, and how much string will be left over?

9.The event is 1.2 km from the storage shed. Convert this distance to metres. A trolley can carry supplies for 500 m before it must return to recharge. Is one trip enough to travel from the shed to the event?

10.A volunteer records the table width as 75 m. The table is actually about 75 cm wide. Identify the likely unit error and give the correct width in metres.

11.Two volunteers measure the same board. Hana records 184 cm; Wiremu records 1.82 m. Convert both measurements to centimetres and state the difference. Give one reason their results might differ slightly.

12.The group has 4.5 L of cordial. Each dispenser is filled with 600 mL. How many full dispensers can they fill, and how much cordial remains? Show your conversion and calculation.