Measurement, NAPX-L4-CA14 o2

Question

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Worked Solution

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Variant 0

DifficultyLevel

626

Question

Clarence used the tile pictured below to pave his garden path.

Altogether, he used 1000 tiles.



What is the total area of Clarence's garden path in square metres?

Worked Solution

Convert cm to metres:

10 cm = 0.1 m

5 cm = 0.05 m
Area of 1 tile = 0.12^2 − 0.052^2
= 0.0075 m2^2

∴\therefore Area of garden path = 0.0075 × 1000
= 7.5 m2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Clarence used the tile pictured below to pave his garden path. Altogether, he used 1000 tiles.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA14-o2_v0_nts.svg 250 indent vpad
What is the total area of Clarence's garden path in square metres?
workedSolution
Convert cm to metres: 10 cm = 0.1 m 5 cm = 0.05 m
||| |-|-| |Area of 1 tile| = 0.1$^2$ − 0.05$^2$| ||= 0.0075 m$^2$|

||| |-|-| |$\therefore$ Area of garden path| = 0.0075 × 1000| ||= {{{correctAnswer}}}|
correctAnswer
7.5 m$^2$

Answers

Is Correct?Answer
x

2.5 m2^2

x

5.0 m2^2

✓

7.5 m2^2

x

10.0 m2^2

Variant 1

DifficultyLevel

624

Question

Aaron used the tile pictured below to pave his back deck.

Altogether, he used 1000 tiles.



What is the total area of Aaron's back deck in square metres?

Worked Solution

Convert cm to metres:

14 cm = 0.14 m

7 cm = 0.07 m
Area of 1 tile = 0.142^2 − 0.072^2
= 0.0147 m2^2

∴\therefore Area of deck = 0.0147 × 1000
= 14.7 m2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Aaron used the tile pictured below to pave his back deck. Altogether, he used 1000 tiles.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA14-o2_v1_nts.svg 250 indent vpad
What is the total area of Aaron's back deck in square metres?
workedSolution
Convert cm to metres: 14 cm = 0.14 m 7 cm = 0.07 m
||| |-|-| |Area of 1 tile| = 0.14$^2$ − 0.07$^2$| ||= 0.0147 m$^2$|

||| |-|-| |$\therefore$ Area of deck| = 0.0147 × 1000| ||= {{{correctAnswer}}}|
correctAnswer
14.7 m$^2$

Answers

Is Correct?Answer
x

4.9 m2^2

x

9.8 m2^2

✓

14.7 m2^2

x

19.6 m2^2

Variant 2

DifficultyLevel

622

Question

Polly used the tile pictured below to tile her loungeroom floor.

Altogether, she used 150 tiles.



What is the total area of Polly's loungeroom in square metres?

Worked Solution

Convert cm to metres:

30 cm = 0.3 m

15 cm = 0.15 m
Area of 1 tile = 0.32^2 − 0.152^2
= 0.0675 m2^2

∴\therefore Area of loungeroom = 0.0675 × 150
= 10.125 m2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Polly used the tile pictured below to tile her loungeroom floor. Altogether, she used 150 tiles.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA14-o2_v2_nts.svg 370 indent vpad
What is the total area of Polly's loungeroom in square metres?
workedSolution
Convert cm to metres: 30 cm = 0.3 m 15 cm = 0.15 m
||| |-|-| |Area of 1 tile| = 0.3$^2$ − 0.15$^2$| ||= 0.0675 m$^2$|

||| |-|-| |$\therefore$ Area of loungeroom | = 0.0675 × 150| ||= {{{correctAnswer}}}|
correctAnswer
10.125 m$^2$

Answers

Is Correct?Answer
x

6.75 m2^2

✓

10.125 m2^2

x

13.5 m2^2

x

30.375 m2^2

Variant 3

DifficultyLevel

620

Question

Ainsley used the tile pictured below to tile her kitchen floor.

Altogether, she used 1500 tiles.



What is the total area of Ainsley's kitchen floor in square metres?

Worked Solution

Convert cm to metres:

8 cm = 0.08 m

4 cm = 0.04 m
Area of 1 tile = 0.082^2 − 0.042^2
= 0.0048 m2^2

∴\therefore Area of kitchen = 0.0048 × 1500
= 7.2 m2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Ainsley used the tile pictured below to tile her kitchen floor. Altogether, she used 1500 tiles.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA14-o2_v3_nts.svg 320 indent vpad
What is the total area of Ainsley's kitchen floor in square metres?
workedSolution
Convert cm to metres: 8 cm = 0.08 m 4 cm = 0.04 m
||| |-|-| |Area of 1 tile| = 0.08$^2$ − 0.04$^2$| ||= 0.0048 m$^2$|

||| |-|-| |$\therefore$ Area of kitchen | = 0.0048 × 1500| ||= {{{correctAnswer}}}|
correctAnswer
7.2 m$^2$

Answers

Is Correct?Answer
✓

7.2 m2^2

x

9.6 m2^2

x

12 m2^2

x

21.6 m2^2

Variant 4

DifficultyLevel

618

Question

Bora used the tile pictured below to tile his tool shed floor.

Altogether, he used 1200 tiles.



What is the total area of Bora's tool shed floor in square metres?

Worked Solution

Convert cm to metres:

6 cm = 0.06 m

3 cm = 0.03 m
Area of 1 tile = 0.062^2 − 0.032^2
= 0.0027 m2^2

∴\therefore Area of tool shed = 0.0027 × 1200
= 3.24 m2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Bora used the tile pictured below to tile his tool shed floor. Altogether, he used 1200 tiles.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA14-o2_v4_nts.svg 370 indent vpad
What is the total area of Bora's tool shed floor in square metres?
workedSolution
Convert cm to metres: 6 cm = 0.06 m 3 cm = 0.03 m
||| |-|-| |Area of 1 tile| = 0.06$^2$ − 0.03$^2$| ||= 0.0027 m$^2$|

||| |-|-| |$\therefore$ Area of tool shed | = 0.0027 × 1200| ||= {{{correctAnswer}}}|
correctAnswer
3.24 m$^2$

Answers

Is Correct?Answer
x

2.16 m2^2

x

2.70 m2^2

✓

3.24 m2^2

x

4.32 m2^2

Variant 5

DifficultyLevel

616

Question

Binky used the paver pictured below to pave her pool area.

Altogether, she used 50 tiles.



What is the total area of Binky's pool area in square metres?

Worked Solution

Convert cm to metres:

60 cm = 0.6 m

30 cm = 0.3 m
Area of 1 paver = 0.62^2 − 0.32^2
= 0.27 m2^2

∴\therefore Area of pool area = 0.27 × 50
= 13.5 m2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Binky used the paver pictured below to pave her pool area. Altogether, she used 50 tiles.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA14-o2_v5_nts.svg 300 indent3 vpad
What is the total area of Binky's pool area in square metres?
workedSolution
Convert cm to metres: 60 cm = 0.6 m 30 cm = 0.3 m
||| |-|-| |Area of 1 paver| = 0.6$^2$ − 0.3$^2$| ||= 0.27 m$^2$|

||| |-|-| |$\therefore$ Area of pool area | = 0.27 × 50| ||= {{{correctAnswer}}}|
correctAnswer
13.5 m$^2$

Answers

Is Correct?Answer
x

1.62 m2^2

x

9 m2^2

✓

13.5 m2^2

x

15 m2^2

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