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Introduction to Measurement

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Introduction to Measurement

Help plan a low-waste community garden in Aotearoa New Zealand. Read each scenario carefully, choose sensible metric units, and show calculations where asked. Use π ≈ 3.14.

Choose and convert units

1.The garden team needs to measure the length of a raised bed, the mass of compost, the water capacity of a tank, and the angle of a ramp. Match each quantity to its most appropriate unit: metres (m), kilograms (kg), litres (L), degrees (°).

Length of raised bed
Mass of compost
Tank capacity
Ramp angle

degrees (°)
litres (L)
metres (m)
kilograms (kg)

2.A plan shows a garden bed as 2.4 m long and 85 cm wide. Convert 85 cm to metres, then calculate the bed’s area in square metres.

3.The team has 18 kg of compost. Each bag holds 750 g. How many full bags can they fill, and how much compost will remain?

4.A rainwater tank contains 1.65 kL of water. Convert this amount to litres and millilitres.

Measure the garden

5.A circular herb bed has a radius of 1.2 m. Calculate its area to 2 decimal places. Use A = πr² and π ≈ 3.14.

6.The circular bed is 0.25 m deep. Use the area from Question 5 to estimate the volume of soil needed in cubic metres, then convert it to litres. (1 m³ = 1,000 L.)

7.A delivery of topsoil has a mass of 0.8 tonnes. How many kilograms is this? If it is divided equally between 4 beds, how many kilograms go to each bed?

8.The team records a ramp angle of 37°. Which tool would be most suitable to measure this angle: a tape measure, a set of scales, a protractor, or a measuring jug? Explain briefly.

Tape measure
Set of scales
Protractor
Measuring jug

9.A garden plan uses a scale of 1 cm : 0.5 m. A path measures 7.6 cm on the plan. What is its actual length in metres?

10.A volunteer says, “The area of a bed that is 3 m by 2 m is 6 m.” Is this correct? State the correct area and unit, and explain the unit error.

11.The team has 12 m of edging. A rectangular bed is 3.2 m long and 2.1 m wide. Calculate the perimeter and decide whether there is enough edging. Show your working.