Number, NAPX-F3-CA31 SA

Question

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Worked Solution

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Variant 0

DifficultyLevel

710

Question

Shinji used 8 litres of paint to paint a wall.

The wall was a square with sides 4 metres long.

How many litres of paint would he need to paint a rectangular wall which is 3 metres high and 10 metres wide?

Worked Solution

Area of smaller wall
= 4 × 4
= 16 m2^2

Area of larger wall
= 3 × 10
= 30 m2^2

∴\therefore Paint needed for larger wall
= 3016\dfrac{30}{16} × 8
= 15 litres

Question Type

Answer Box

Variables

Variable nameVariable value
question
Shinji used 8 litres of paint to paint a wall. The wall was a square with sides 4 metres long. How many litres of paint would he need to paint a rectangular wall which is 3 metres high and 10 metres wide?
workedSolution
sm_nogap Area of smaller wall
>>|| |-| |= 4 × 4| |= 16 m$^2$|

sm_nogap Area of larger wall
>>|| |-| |= 3 × 10| |= 30 m$^2$|

sm_nogap $\therefore$ Paint needed for larger wall
>>|| |-| |= $\dfrac{30}{16}$ × 8| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
15
prefix0
suffix0
litres

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer015

litres

Variant 1

DifficultyLevel

709

Question

Bobby used 4 litres of varnish to paint the loungeroom floor.

The floor was a square with sides 4 metres long.

How many litres of varnish would he need to paint a rectangular floor which is 2.5 metres long and 8 metres wide?

Worked Solution

Area of smaller floor
= 4 × 4
= 16 m2^2

Area of larger floor
= 2.5 × 8
= 20 m2^2

∴\therefore Varnish needed for larger floor
= 2016\dfrac{20}{16} × 4
= 5 litres

Question Type

Answer Box

Variables

Variable nameVariable value
question
Bobby used 4 litres of varnish to paint the loungeroom floor. The floor was a square with sides 4 metres long. How many litres of varnish would he need to paint a rectangular floor which is 2.5 metres long and 8 metres wide?
workedSolution
sm_nogap Area of smaller floor
>>|| |-| |= 4 × 4| |= 16 m$^2$|

sm_nogap Area of larger floor
>>|| |-| |= 2.5 × 8| |= 20 m$^2$|

sm_nogap $\therefore$ Varnish needed for larger floor
>>|| |-| |= $\dfrac{20}{16}$ × 4| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
5
prefix0
suffix0
litres

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer05

litres

Variant 2

DifficultyLevel

707

Question

Bliss used 10 litres of paint to paint a mural.

The mural was a square with sides 5 metres long.

How many litres of paint would she need to paint a rectangular mural which is 4 metres high and 15 metres wide?

Worked Solution

Area of smaller mural
= 5 × 5
= 25 m2^2

Area of larger mural
= 4 × 15
= 60 m2^2

∴\therefore Paint needed for larger mural
= 6025\dfrac{60}{25} × 10
= 24 litres

Question Type

Answer Box

Variables

Variable nameVariable value
question
Bliss used 10 litres of paint to paint a mural. The mural was a square with sides 5 metres long. How many litres of paint would she need to paint a rectangular mural which is 4 metres high and 15 metres wide?
workedSolution
sm_nogap Area of smaller mural
>>|| |-| |= 5 × 5| |= 25 m$^2$|

sm_nogap Area of larger mural
>>|| |-| |= 4 × 15| |= 60 m$^2$|

sm_nogap $\therefore$ Paint needed for larger mural
>>|| |-| |= $\dfrac{60}{25}$ × 10| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
24
prefix0
suffix0
litres

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer024

litres

Variant 3

DifficultyLevel

712

Question

Jordan used 15 litres of sealant to reseal his driveway.

The driveway was a square with sides 4.5 metres long.

How many litres of sealant would he need to reseal a rectangular driveway which is 6 metres wide and 9 metres long?

Worked Solution

Area of smaller driveway
= 4.5 × 4.5
= 20.25 m2^2

Area of larger driveway
= 6 × 9
= 54 m2^2

∴\therefore Sealant needed for larger driveway
= 5420.25\dfrac{54}{20.25} × 15
= 40 litres

Question Type

Answer Box

Variables

Variable nameVariable value
question
Jordan used 15 litres of sealant to reseal his driveway. The driveway was a square with sides 4.5 metres long. How many litres of sealant would he need to reseal a rectangular driveway which is 6 metres wide and 9 metres long?
workedSolution
sm_nogap Area of smaller driveway
>>|| |-| |= 4.5 × 4.5| |= 20.25 m$^2$|

sm_nogap Area of larger driveway
>>|| |-| |= 6 × 9| |= 54 m$^2$|

sm_nogap $\therefore$ Sealant needed for larger driveway
>>|| |-| |= $\dfrac{54}{20.25}$ × 15| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
40
prefix0
suffix0
litres

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer040

litres

Variant 4

DifficultyLevel

712

Question

Wendy used 8 litres of fertiliser to fertilise her garden.

The garden was a square with sides 16 metres long.

How many litres of fertiliser would she need to fertilise a rectangular garden which is 40 metres wide and 12 metres long?

Worked Solution

Area of smaller garden
= 16 × 16
= 256 m2^2

Area of larger garden
= 40 × 12
= 480 m2^2

∴\therefore Fertiliser needed for larger garden
= 480256\dfrac{480}{256} × 8
= 15 litres

Question Type

Answer Box

Variables

Variable nameVariable value
question
Wendy used 8 litres of fertiliser to fertilise her garden. The garden was a square with sides 16 metres long. How many litres of fertiliser would she need to fertilise a rectangular garden which is 40 metres wide and 12 metres long?
workedSolution
sm_nogap Area of smaller garden
>>|| |-| |= 16 × 16| |= 256 m$^2$|

sm_nogap Area of larger garden
>>|| |-| |= 40 × 12| |= 480 m$^2$|

sm_nogap $\therefore$ Fertiliser needed for larger garden
>>|| |-| |= $\dfrac{480}{256}$ × 8| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
15
prefix0
suffix0
litres

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer015

litres

Variant 5

DifficultyLevel

710

Question

Giles used 15 litres of pesticide to treat pests in his orchard.

The orchard was a square with sides 25 metres long.

How many litres of pesticide would he need to treat a rectangular orchard which is 50 metres wide and 30 metres long?

Worked Solution

Area of smaller orchard
= 25 × 25
= 625 m2^2

Area of larger orchard
= 50 × 30
= 1500 m2^2

∴\therefore Pesticide needed for larger orchard
= 1500625\dfrac{1500}{625} × 15
= 36 litres

Question Type

Answer Box

Variables

Variable nameVariable value
question
Giles used 15 litres of pesticide to treat pests in his orchard. The orchard was a square with sides 25 metres long. How many litres of pesticide would he need to treat a rectangular orchard which is 50 metres wide and 30 metres long?
workedSolution
sm_nogap Area of smaller orchard
>>|| |-| |= 25 × 25| |= 625 m$^2$|

sm_nogap Area of larger orchard
>>|| |-| |= 50 × 30| |= 1500 m$^2$|

sm_nogap $\therefore$ Pesticide needed for larger orchard
>>|| |-| |= $\dfrac{1500}{625}$ × 15| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
36
prefix0
suffix0
litres

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer036

litres

Tags

  • ms_ca