smc-902-70-Rates

Number, NAP-I3-CA02v1

Bryce owns a parking facility in the desert for out-of-service planes.

He keeps 6 planes on every hectare of the facility.

How many hectares would he need for 12 planes?

`0.5`	`2`	`6`	`72`

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`2`

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`text(6 planes per hectare)`

`:.\ text(Hectares for 12 planes)`	`=12/6`
	`=2\ text(hectares)`

Number, NAP-L3-NC07 SA

A solar panel grid on a school roof produces an average of 8.6 kWh of energy per day.

How much energy will the grid produce for the school on average over 7 days?

kWh

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`60.2`

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`text(One multiplication strategy:)`

`7xx8=56`

`7 xx 0.6 = 4.2`

`7 xx 8.6 = 56+4.2=60.2`

`:.\ text(It produces 60.2 kWh over 7 days.)`

Number, NAP-L3-CA36 SA

A laundromat can wash 12 loads of laundry in one hour at full capacity.

A standard load of laundry weighs 7 kilograms.

Here is some information about two different washing machines.

Working at full capacity, how many litres of water would the laundromat expect to save in one hour by using the front loader instead of the top loader?

litres

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`text(315 L)`

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`text(Top loader water used (1 load))`

`= 7 xx 10.25`

`= 71.75\ text(L)`

`text(Front loader water used (1 load))`

`= 7 xx 6.5`

`= 45.5\ text(L)`

`:.\ text(Expected water saved)`

`= 12 xx (71.75 – 45.5)`

`= 315\ text(L)`

Number, NAP-L3-CA34 SA

Genghis and Kublai are shooting arrows at a target.

Genghis shoots an arrow every 3 seconds.

Kublai shoots an arrow every 8 seconds.

They shoot their first arrow together at 10:00 am.

How many more times will they shoot arrows at exactly the same time in the next 3 minutes?

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`7`

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`text(Every 24 seconds, arrows shot at the same time.)`

`=>\ text(Arrows are shot at the same time:)`

`24, 48, 72, 96, 120, 144, 168\ text(seconds)`

`:. 7\ text{more times (time ≤ 180 seconds)}`

Number, NAP-A3-CA11 SA

A ute uses an average of 12 litres of diesel fuel for every 100 km travelled.

At this rate, how many litres would the ute use to travel 450 km?

litres

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`54\ text(litres)`

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`text(Litres used)`	`=\ text(litres per 100 km × multiples of 100 km)`
	`= 12 xx 4.5`
	`= 54\ text(litres)`

Number, NAP-F3-CA26 SA

Kate buys a new computer.

The disk in its hard drive makes 120 full turns every second.

How many minutes will it take for the disk to make 324 000 full turns?

minutes

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`45\ text(minutes)`

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`text(Turns in 1 minute)`

`= 120 xx 60`

`= 7200`

`:.\ text(Minutes needed)`

`= (324\ 000)/7200`

`= 45\ text(minutes)`

Number, NAP-E3-NC27 SA

Nona makes maple syrup on her farm.

The mass of 400 millilitres of her maple syrup is 600 grams.

How many litres is 2.4 kilogram of Nona's maple syrup?

litres

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`1.6\ text(litres)`

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`text(Multiples of 600 grams in 2.4 kilograms:)`

`=> 2400/600 = 4`

`:.\ text(Volume of maple syrup)`

`= 4 xx 400\ text(mL)`

`= 1600\ text(mL)`

`= 1.6\ text(litres)`

Number, NAP-G3-NC21 SA

Constance used 300 grams of sugar to make 12 brownies.

How many grams of sugar will she need to make 18 brownies?

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`text(450 grams)`

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`text(Sugar to make 18 brownies)`

`=18/12 xx 300`

`=1.5 xx 300`

`=450\ text(grams)`

Number, NAP-G3-CA31 SA

One litre of softdrink contains 90 grams of sugar.

How many millilitres of softdrink contain 4.5 grams of sugar?

millilitres

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`50`

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`text(Millilitres)`	`= 4.5/90 xx 1000\ text(mL)`
	`= 50\text(mL)`

Number, NAP-G3-CA26 SA

Ten nails have a mass of 22 grams.

How many nails would have a mass of 550 grams?

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`250\ text(nails)`

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`text(Mass of 1 nail)`	`=22/10`
	`= 2.2\ text(grams)`

`:.\ text(Nails in 550 grams)`	`= 550/2.2`
	`= 250\ text(nails)`

Number, NAP-I3-CA30 SA

Kurt is travelling from Newcastle to Sydney. The journey is 165 kilometres.

His car uses 8.35 litres of fuel per 100 kilometres.

How much fuel will Kurt need to make the journey?

Round your answer to the nearest litre.

litres

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`14\ text{litres (nearest whole)}`

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`text(Fuel needed)`	`= 165/100 xx 8.35`
	`= 13.77…`
	`= 14\ text{litres (nearest whole)}`

Number, NAP-I3-CA17

A soft drink factory can make 950 cans of lemonade and 600 cans of ginger ale per hour.

The factory runs non-stop and each can weighs 300 grams.

How many kilograms of soft drink does the factory produce in 1 full day?

	`465\ text(kilograms)`
	`18\ text(kilograms)`
	`285\ text(kilograms)`
	`11\ 160\ text(kilograms)`

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`11\ 160\ text(kilograms per day)`

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`text(Total cans made per hour)`

`=950 + 600`

`= 1550`

`text(Kilograms made in 1 hour)`

`=1550 xx 300`

`= 465\ 000\ text(grams)`

`= 465\ text(kilograms)`

`:.\ text(Kilograms made in 1 day)`	`=465 xx 24`
	`=11\ 160`

Number, NAP-I3-CA02

Scott owns a sheep station.

He keeps 4 sheep on every acre of the property.

How many acres would he need for 12 sheep?

`3`	`4`	`16`	`48`

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`3`

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`text(4 sheep per acre)`

`:.\ text(Acres needed for 12 sheep)`	`=12/4`
	`=3\ text(acres)`

Number, NAP-C3-NC30 SA

This is the label from a can of beans.

What is the mass of one serve of these beans?

grams

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`300`

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`text(Energy in 100g is 120kJ.)`

`text(Energy in one serve is 360kJ.)`

`:.\ text(One serve is 3 times larger)`

`=3 xx 100`

`= 300\ text(grams)`