smc-797-40-Other unit conversion

Measurement, STD2 M1 2006 HSC 11 MC

Peter rides his bike at a speed of 27 km/h.

What is this speed in m/s?

`7.5`
`18.75`
`97.2`
`450`

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`A`

Show Worked Solution

`text(27 km/h)`	`= 27\ 000\ text(metres per hour)`
	`= (27\ 000)/60\ text(metres per minute)`
	`= (27\ 000)/(60 xx 60)\ text(metres per second)`
	`=7.5\ text(m/s)`

`=> A`

Measurement, STD2 M1 2004 HSC 13 MC

During a ten-minute period, Kath is exercising and Jim is resting.

How much more air would Kath breathe than Jim during this time?

40 Litres
94 Litres
940 Litres
1060 Litres

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`C`

Show Worked Solution

`text(Kath’s air volume)`

`= 10 xx 100`

`=1000\ text(L)`

`text(Jim’s air volume)`

`= 10 xx 6`

`= 60\text(L)`

`:.\ text(Extra air that Kath breathes)`

`= 1000 – 60`

`= 940\ text(L)`

`=> C`

Measurement, STD2 M1 2009 HSC 12 MC

How many square centimetres are in 0.0075 square metres?

0.75
7.5
75
7500

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`C`

Show Worked Solution

`text{Since 1 m}^2`	`= 100\ text(cm) xx 100\ text(cm)`
	`= 10\ 000\ text{cm}^2`

♦♦♦ Mean mark 19%.

`:.0.0075\ text{m}^2`	`= 0.0075 xx 10\ 000`
	`= 75\ text{cm}^2`

`=> C`

Measurement, STD2 M1 2012 HSC 26g

Bhawana purchases pool chlorine in a new container which holds 35 kg.

She begins using this new container on the first day of a week.

How many full weeks should this container last? (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

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`text(15 full weeks.)`

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`text(Cups used per week)`	`= 3 + 6 = 9`
`text(Chlorine usage per week)`	`= 9 xx 250text(g)`
	`= 2250 text(g)`

`text(Total chlorine available)\ = 35text(kg) = 35\ 000\ text(grams)`

MARKER’S COMMENT: Better answers converted all measurements to grams (rather than use decimals and kgs) and realised the answer should be in full weeks.

`text(Time it will last)`	`= (35\ 000)/2250`
	`= 15.555…`

`:.\ text(The container will last 15 full weeks.)`