Measurement, NAPX-J4-CA16

Question

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Worked Solution

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Variant 0

DifficultyLevel

599

Question

Wyatt is designing a rectangular lawn for a landscaping project.

He wants the lawn to be at least 400 square metres.

He has marked out two sides, each 25.5 metres in length.

What is the smallest possible length of each of the other two sides, rounded to one decimal place?

Worked Solution

Smallest possible length
= 400 ÷ 25.5
= 15.68…
= 15.7 metres

Note: this distance must be rounded up due to the context of the question (area “at least” 400 m2^2).

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Wyatt is designing a rectangular lawn for a landscaping project. He wants the lawn to be at least 400 square metres. He has marked out two sides, each 25.5 metres in length. What is the smallest possible length of each of the other two sides, rounded to one decimal place?
workedSolution
sm_nogap Smallest possible length
>>|| |-| |= 400 ÷ 25.5| |= 15.68…| |= {{{correctAnswer}}}|

Note: this distance must be rounded up due to the context of the question (area “at least” 400 m$^2$).
correctAnswer
15.7 metres

Answers

Is Correct?Answer
x

15 metres

x

15.6 metres

✓

15.7 metres

x

16 metres

Variant 1

DifficultyLevel

597

Question

Ruth is designing a rectangular quilt for a sewing project.

She wants the quilt to be at least 83 700 square centimetres.

She has marked out two sides, each 274 centimetres in length.

What is the smallest possible length of each of the other two sides, rounded to one decimal place?

Worked Solution

Smallest possible length
= 83 700 ÷ 274
= 305.47…
= 305.5 cm

Note: this distance must be rounded up due to the context of the question (area “at least” 83 700 cm2^2).

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Ruth is designing a rectangular quilt for a sewing project. She wants the quilt to be at least 83 700 square centimetres. She has marked out two sides, each 274 centimetres in length. What is the smallest possible length of each of the other two sides, rounded to one decimal place?
workedSolution
sm_nogap Smallest possible length
>>|| |-| |= 83 700 ÷ 274| |= 305.47…| |= {{{correctAnswer}}}|

Note: this distance must be rounded up due to the context of the question (area “at least” 83 700 cm$^2$).
correctAnswer
305.5 cm

Answers

Is Correct?Answer
x

305 cm

x

305.4 cm

✓

305.5 cm

x

306 cm

Variant 2

DifficultyLevel

595

Question

Jim is making a rectangular cut of plywood for a carpentry project.

He wants the plywood to be at least 7.36 square metres.

He has marked out two sides, each 2.4 metres in length.

What is the smallest possible length of each of the other two sides, rounded to one decimal place?

Worked Solution

Smallest possible length
= 7.36 ÷ 2.4
= 3.066…
= 3.1 m

Note: this distance must be rounded up due to the context of the question (area “at least” 7.36 m2^2).

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jim is making a rectangular cut of plywood for a carpentry project. He wants the plywood to be at least 7.36 square metres. He has marked out two sides, each 2.4 metres in length. What is the smallest possible length of each of the other two sides, rounded to one decimal place?
workedSolution
sm_nogap Smallest possible length
>>|| |-| |= 7.36 ÷ 2.4| |= 3.066…| |= {{{correctAnswer}}}|

Note: this distance must be rounded up due to the context of the question (area “at least” 7.36 m$^2$).
correctAnswer
3.1 m

Answers

Is Correct?Answer
x

1.8 m

x

2.4 m

x

3 m

✓

3.1 m

Variant 3

DifficultyLevel

593

Question

Bryn is marking out a rectangular area for his stall at the markets.

He wants the area to be at least 80 square metres.

He has marked out two sides, each 12 metres in length.

What is the smallest possible length of each of the other two sides, rounded to one decimal place?

Worked Solution

Smallest possible length
= 80 ÷ 12
= 6.66…
= 6.7 m

Note: this distance must be rounded up due to the context of the question (area “at least” 80 m2^2).

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Bryn is marking out a rectangular area for his stall at the markets. He wants the area to be at least 80 square metres. He has marked out two sides, each 12 metres in length. What is the smallest possible length of each of the other two sides, rounded to one decimal place?
workedSolution
sm_nogap Smallest possible length
>>|| |-| |= 80 ÷ 12| |= 6.66…| |= {{{correctAnswer}}}|

Note: this distance must be rounded up due to the context of the question (area “at least” 80 m$^2$).
correctAnswer
6.7 m

Answers

Is Correct?Answer
x

8 m

✓

6.7 m

x

6.6 m

x

6 m

Variant 4

DifficultyLevel

591

Question

Emile is marking out a rectangular area for his new pool.

He wants the area to be at least 45 square metres.

He has marked out two sides, each 9.5 metres in length.

What is the smallest possible length of each of the other two sides, rounded to one decimal place?

Worked Solution

Smallest possible length
= 45 ÷ 9.5
= 4.73…
= 4.8 m

Note: this distance must be rounded up due to the context of the question (area “at least” 45 m2^2).

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Emile is marking out a rectangular area for his new pool. He wants the area to be at least 45 square metres. He has marked out two sides, each 9.5 metres in length. What is the smallest possible length of each of the other two sides, rounded to one decimal place?
workedSolution
sm_nogap Smallest possible length
>>|| |-| |= 45 ÷ 9.5| |= 4.73…| |= {{{correctAnswer}}}|

Note: this distance must be rounded up due to the context of the question (area “at least” 45 m$^2$).
correctAnswer
4.8 m

Answers

Is Correct?Answer
x

4 m

x

4.7 m

x

4.73 m

✓

4.8 m

Variant 5

DifficultyLevel

589

Question

Monique is painting a rectangular mural on a wall and is marking out its dimensions.

She wants the area of the mural to be at least 60 square metres.

She has marked out two sides, each 18 metres in length.

What is the smallest possible length of each of the other two sides, rounded to one decimal place?

Worked Solution

Smallest possible length
= 60 ÷ 18
= 3.33…
= 3.4 m

Note: this distance must be rounded up due to the context of the question (area “at least” 60 m2^2).

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Monique is painting a rectangular mural on a wall and is marking out its dimensions. She wants the area of the mural to be at least 60 square metres. She has marked out two sides, each 18 metres in length. What is the smallest possible length of each of the other two sides, rounded to one decimal place?
workedSolution
sm_nogap Smallest possible length
>>|| |-| |= 60 ÷ 18| |= 3.33…| |= {{{correctAnswer}}}|

Note: this distance must be rounded up due to the context of the question (area “at least” 60 m$^2$).
correctAnswer
3.4 m

Answers

Is Correct?Answer
x

1.7 m

x

3 m

x

3.3 m

✓

3.4 m

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