Measurement, NAPX-G4-CA27 SA, NAPX-G3-CA30 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

712

Question

Minerva is tiling her back deck which is rectangular and measures 3.6 m × 4.2 m.

She decides to use the square tiles shown below.



How many boxes of these square tiles does Minerva need to order?

Worked Solution

Area of back deck in the number of tiles
= 3.60.3×4.20.3\dfrac{3.6}{0.3} \times \dfrac{4.2}{0.3}
= 12 tiles ×\times 14 tiles
= 168 tiles

∴\therefore Number of boxes to order
= 1688\dfrac{168}{8}
= 21 boxes

Question Type

Answer Box

Variables

Variable nameVariable value
question
Minerva is tiling her back deck which is rectangular and measures 3.6 m × 4.2 m. She decides to use the square tiles shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-G4-CA27-SA.svg 290 indent3 vpad
How many boxes of these square tiles does Minerva need to order?
workedSolution
sm_nogap Area of back deck in the number of tiles
>>|| |-| |= $\dfrac{3.6}{0.3} \times \dfrac{4.2}{0.3}$| |= 12 tiles $\times$ 14 tiles| |= 168 tiles|

sm_nogap $\therefore$ Number of boxes to order
>>|| |-| |= $\dfrac{168}{8}$| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
21
prefix0
suffix0
boxes

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
correctAnswer021

boxes

Variant 1

DifficultyLevel

711

Question

Jake is tiling his bbq area which is rectangular and measures 4.0 m × 6.4 m.

He decides to use the square tiles shown below.



How many boxes of these square tiles does Jake need to order?

Worked Solution

Area of bbq area in the number of tiles
= 4.00.4×6.40.4\dfrac{4.0}{0.4} \times \dfrac{6.4}{0.4}
= 10 tiles ×\times 16 tiles
= 160 tiles

∴\therefore Number of boxes to order
= 16010\dfrac{160}{10}
= 16 boxes

Question Type

Answer Box

Variables

Variable nameVariable value
question
Jake is tiling his bbq area which is rectangular and measures 4.0 m × 6.4 m. He decides to use the square tiles shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA27-SA_NAPX-G3-CA30-SA_1b.svg 330 indent3 vpad
How many boxes of these square tiles does Jake need to order?
workedSolution
sm_nogap Area of bbq area in the number of tiles
>>|| |-| |= $\dfrac{4.0}{0.4} \times \dfrac{6.4}{0.4}$| |= 10 tiles $\times$ 16 tiles| |= 160 tiles|

sm_nogap $\therefore$ Number of boxes to order
>>|| |-| |= $\dfrac{160}{10}$| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
16
prefix0
suffix0
boxes

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
correctAnswer016

boxes

Variant 2

DifficultyLevel

710

Question

Sienna is tiling the splashback in her new kitchen which is rectangular and measures 0.6 m × 2.4 m.

She decides to use the square tiles shown below.



How many boxes of these square tiles does Sienna need to order?

Worked Solution

Area of splashback in the number of tiles
= 0.60.1×2.40.1\dfrac{0.6}{0.1} \times \dfrac{2.4}{0.1}
= 6 tiles ×\times 24 tiles
= 144 tiles

∴\therefore Number of boxes to order
= 14436\dfrac{144}{36}
= 4 boxes

Question Type

Answer Box

Variables

Variable nameVariable value
question
Sienna is tiling the splashback in her new kitchen which is rectangular and measures 0.6 m × 2.4 m. She decides to use the square tiles shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA27-SA_NAPX-G3-CA30-SA_2_1.svg 360 indent3 vpad
How many boxes of these square tiles does Sienna need to order?
workedSolution
sm_nogap Area of splashback in the number of tiles
>>|| |-| |= $\dfrac{0.6}{0.1} \times \dfrac{2.4}{0.1}$| |= 6 tiles $\times$ 24 tiles| |= 144 tiles|

sm_nogap $\therefore$ Number of boxes to order
>>|| |-| |= $\dfrac{144}{36}$| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
4
prefix0
suffix0
boxes

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
correctAnswer04

boxes

Variant 3

DifficultyLevel

714

Question

Bryson is tiling his patio which is rectangular and measures 6.3 m × 3.0 m.

He decides to use the square tiles shown below.



How many boxes of these square tiles does Bryson need to order?

Worked Solution

Area of patio in the number of tiles
= 6.00.15×3.00.15\dfrac{6.0}{0.15} \times \dfrac{3.0}{0.15}
= 42 tiles ×\times 20 tiles
= 840 tiles

∴\therefore Number of boxes to order
= 84020\dfrac{840}{20}
= 42 boxes

Question Type

Answer Box

Variables

Variable nameVariable value
question
Bryson is tiling his patio which is rectangular and measures 6.3 m × 3.0 m. He decides to use the square tiles shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA27-SA_NAPX-G3-CA30-SA_3_a.svg 360 indent3 vpad
How many boxes of these square tiles does Bryson need to order?
workedSolution
sm_nogap Area of patio in the number of tiles
>>|| |-| |= $\dfrac{6.0}{0.15} \times \dfrac{3.0}{0.15}$| |= 42 tiles $\times$ 20 tiles| |= 840 tiles|

sm_nogap $\therefore$ Number of boxes to order
>>|| |-| |= $\dfrac{840}{20}$| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
42
prefix0
suffix0
boxes

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

boxes

Variant 4

DifficultyLevel

708

Question

Donna is tiling one wall in her butler's pantry which is rectangular and measu 4.5 m × 1.2 m.

She decides to use the square tiles shown below.



How many boxes of these square tiles does Donna need to order?

Worked Solution

Area of walls in the number of tiles
= 4.50.10×1.20.10\dfrac{4.5}{0.10} \times \dfrac{1.2}{0.10}
= 45 tiles ×\times 12 tiles
= 540 tiles

∴\therefore Number of boxes to order
= 54090\dfrac{540}{90}
= 6 boxes

Question Type

Answer Box

Variables

Variable nameVariable value
question
Donna is tiling one wall in her butler's pantry which is rectangular and measu 4.5 m × 1.2 m. She decides to use the square tiles shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA27-SA_NAPX-G3-CA30-SA_2_a.svg 360 indent3 vpad
How many boxes of these square tiles does Donna need to order?
workedSolution
sm_nogap Area of walls in the number of tiles
>>|| |-| |= $\dfrac{4.5}{0.10} \times \dfrac{1.2}{0.10}$| |= 45 tiles $\times$ 12 tiles| |= 540 tiles|

sm_nogap $\therefore$ Number of boxes to order
>>|| |-| |= $\dfrac{540}{90}$| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
6
prefix0
suffix0
boxes

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
correctAnswer06

boxes

Variant 5

DifficultyLevel

707

Question

Matt is using rubber tiles to tile a playground floor which is rectangular and measures 13.2 m × 9.0 m.

He decides to use the square tiles shown below.



How many boxes of these square tiles does Matt need to order?

Worked Solution

Area of playground floor in the number of tiles
= 13.20.60×9.00.60\dfrac{13.2}{0.60} \times \dfrac{9.0}{0.60}
= 22 tiles ×\times 15 tiles
= 330 tiles

∴\therefore Number of boxes to order
= 33010\dfrac{330}{10}
= 33 boxes

Question Type

Answer Box

Variables

Variable nameVariable value
question
Matt is using rubber tiles to tile a playground floor which is rectangular and measures 13.2 m × 9.0 m. He decides to use the square tiles shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA27-SA_NAPX-G3-CA30-SA_4_a.svg 360 indent3 vpad
How many boxes of these square tiles does Matt need to order?
workedSolution
sm_nogap Area of playground floor in the number of tiles
>>|| |-| |= $\dfrac{13.2}{0.60} \times \dfrac{9.0}{0.60}$| |= 22 tiles $\times$ 15 tiles| |= 330 tiles|

sm_nogap $\therefore$ Number of boxes to order
>>|| |-| |= $\dfrac{330}{10}$| |= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
33
prefix0
suffix0
boxes

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
correctAnswer033

boxes

Tags

  • ms_ca