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Introduction to Measurement
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Name:Date:
Introduction to Measurement
Show your working and include units in every measurement answer. Use metric units throughout.
Planning a Community Garden
A local group is designing a rectangular garden beside a footpath. Use measurement ideas to check their plans and make sensible decisions.
1.The garden bed is 2.4 m long and 85 cm wide. Convert both measurements to centimetres, then calculate its area in cm².
2.The group orders edging for all four sides of the rectangular bed. What total length of edging is needed in metres?
3.A water tank holds 0.075 m³. Convert this capacity to litres. (1 m³ = 1,000 L)
4.A bag of compost has a mass of 18.6 kg. How many grams is this?
5.The footpath needs a clear width of at least 1.2 m. Which proposed width meets this requirement: 118 cm, 1.25 m, or 1,190 mm? Explain briefly.
6.A volunteer measures the bed as 2.4 m long to the nearest 0.1 m. Give the lower and upper bounds for its actual length.
Choose and Check Measurements
Think about units, tools, estimation, and precision in practical situations.
7.Which tool is most appropriate for measuring the mass of a full compost bag: a tape measure, kitchen scales, or a measuring jug?
- Tape measure
- Kitchen scales
- Measuring jug
8.Match each quantity to its most suitable unit. Choose from m², L, km, and g: area of a small garden bed; capacity of a watering can; distance between two NZ cities; mass of a seed packet.
- Area of a small garden bed
- Capacity of a watering can
- Distance between two NZ cities
- Mass of a seed packet
- g
- m²
- L
- km
9.The circular water tank has a radius of 0.35 m. Calculate its volume if it is 0.8 m tall. Use V = πr²h and give your answer to 3 significant figures.
10.The team estimates the bed's length as 2 m before measuring it accurately as 2.4 m. Calculate the percentage error of the estimate, using the measured length as the reference value.
11.A slope beside the garden rises 0.45 m over a horizontal distance of 3.0 m. Find its angle of inclination to the nearest degree. Use tan θ = rise ÷ horizontal distance.
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