Measurement, NAPX-F4-NC31 SA, NAPX-F3-NC32 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

623

Question

A farmer uses an existing stone wall and fencing to create a large grazing paddock for his sheep, as shown in the diagram below.

The fencing has 3-strand wiring which is also shown below.



How many kilometres of wire will be required?

Worked Solution
Wire needed = 3 × (250 + 700 + 550 + 400 + 800)
= 3 × 2700
= 8100 m
= 8.1 km

Question Type

Answer Box

Variables

Variable nameVariable value
question
A farmer uses an existing stone wall and fencing to create a large grazing paddock for his sheep, as shown in the diagram below. The fencing has 3-strand wiring which is also shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-NC31.svg 540 indent vpad
How many kilometres of wire will be required?
workedSolution
||| |-|-| |Wire needed|= 3 × (250 + 700 + 550 + 400 + 800)| ||= 3 × 2700| ||= 8100 m| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
8.1
prefix0
suffix0
km

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
correctAnswer08.1

km

Variant 1

DifficultyLevel

622

Question

A farmer uses the river bordering his property and fencing to create a large grazing paddock for his horses, as shown in the diagram below.

The fencing has 4-strand wiring which is also shown below.



Given that fencing is not required on the river boundary, how many kilometres of wire will be required?

Worked Solution
Wire needed = 4 × (700 + 200 + 300 + 1100 + 200 + 200 + 1200)
= 4 × 3900
= 15 600 m
= 15.6 km

Question Type

Answer Box

Variables

Variable nameVariable value
question
A farmer uses the river bordering his property and fencing to create a large grazing paddock for his horses, as shown in the diagram below. The fencing has 4-strand wiring which is also shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC31-SA-NAPX-F3-NC32-SA_v1b.svg 600 indent vpad
Given that fencing is not required on the river boundary, how many kilometres of wire will be required?
workedSolution
||| |-|-| |Wire needed|= 4 × (700 + 200 + 300 + 1100 + 200 + 200 + 1200)| ||= 4 × 3900| ||= 15 600 m| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
15.6
prefix0
suffix0
km

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
correctAnswer015.6

km

Variant 2

DifficultyLevel

621

Question

A farmer is planning to build a holding pen for his cows. He will use an existing barn as one border and complete the remaining borders using wire fencing as shown in the diagram below.

The fencing has 4-strand wiring which is also shown below.


Given that fencing is not required on the barn boundary, how many kilometres of wire will be required?

Worked Solution
Wire needed = 4 × (170 + 25 + 60 + 100 + 60 + 40 + 130 + 80)
= 4 × 665
= 2660 m
= 2.66 km

Question Type

Answer Box

Variables

Variable nameVariable value
question
A farmer is planning to build a holding pen for his cows. He will use an existing barn as one border and complete the remaining borders using wire fencing as shown in the diagram below. The fencing has 4-strand wiring which is also shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC31-SA-NAPX-F3-NC32-SA_v2b.svg 780 indent vpad Given that fencing is not required on the barn boundary, how many kilometres of wire will be required?
workedSolution
||| |-|-| |Wire needed|= 4 × (170 + 25 + 60 + 100 + 60 + 40 + 130 + 80)| ||= 4 × 665| ||= 2660 m| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
2.66
prefix0
suffix0
km

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
correctAnswer02.66

km

Variant 3

DifficultyLevel

621

Question

Kai uses an existing sandstone wall and fencing to create a boundary for a community herb garden as shown in the diagram below.

The fencing has 3-strand wiring which is also shown below.



How many metres of wire will be required?

Worked Solution

Using  1 m = 100 cm
Wire needed = 3 × (360 + 70 + 190 + 180 + 190 + 50 + 360)
= 3 × 1400
= 4200 cm
= 42 m

Question Type

Answer Box

Variables

Variable nameVariable value
question
Kai uses an existing sandstone wall and fencing to create a boundary for a community herb garden as shown in the diagram below. The fencing has 3-strand wiring which is also shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC31-SA-NAPX-F3-NC32-SA_v3.svg 550 indent vpad
How many metres of wire will be required?
workedSolution
Using  1 m = 100 cm
||| |-|-| |Wire needed|= 3 × (360 + 70 + 190 + 180 + 190 + 50 + 360)| ||= 3 × 1400| ||= 4200 cm| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
42
prefix0
suffix0
m

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
correctAnswer042

m

Variant 4

DifficultyLevel

623

Question

Brenda uses an existing brick wall and fencing to create a boundary for her small market garden as shown in the diagram below.

The fencing has 3-strand wiring which is also shown below.



How many metres of wire will be required?

Worked Solution
Wire needed = 3 × (2 × 8 + 4 × 5 + 2.2 + 2.7 + 2.1 + 2.6 + 2.3)
= 3 × 47.9
= 143.7 m

Question Type

Answer Box

Variables

Variable nameVariable value
question
Brenda uses an existing brick wall and fencing to create a boundary for her small market garden as shown in the diagram below. The fencing has 3-strand wiring which is also shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC31-SA-NAPX-F3-NC32-SA_v4.svg 590 indent vpad
How many metres of wire will be required?
workedSolution
||| |-|-| |Wire needed|= 3 × (2 × 8 + 4 × 5 + 2.2 + 2.7 + 2.1 + 2.6 + 2.3)| ||= 3 × 47.9| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
143.7
prefix0
suffix0
m

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
correctAnswer0143.7

m

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