20303

Question

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Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

619

Question

Here is a plan of Dave's backyard.



The total area of the paving stones is 18 m2^2.

What is the total area of the grass in Dave's backyard?

Worked Solution

9 paving stones = 18 m2^2

∴\therefore 1 grid square = 2 m2^2
Total grass area = 27 grid squares
= 27 ×\times 2
= 54 m2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Here is a plan of Dave's backyard.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/12/NAP-A4-CA17-1.svg 450 indent vpad
The total area of the paving stones is 18 m$^2$. What is the total area of the grass in Dave's backyard?
workedSolution
9 paving stones = 18 m$^2$ $\therefore$ 1 grid square = 2 m$^2$
| | | | --------------------- | -------------------------------------------- | | Total grass area | = 27 grid squares | | | = 27 $\times$ 2 | | | = {{{correctAnswer}}} |
correctAnswer
54 m$^2$

Answers

Is Correct?Answer
x

36 m2^2

x

48 m2^2

✓

54 m2^2

x

72 m2^2

Variant 1

DifficultyLevel

635

Question

Here is a plan of Garth's tiled outdoor area.



The total area of the dark tiles is 48 m2^2.

What is the total area of the light tiles in Garth's outdoor area?

Worked Solution

24 dark tiles = 48 m2^2

∴\therefore 1 grid square = 2 m2^2
Total light tile area = [(11 ×\times 5) −- 24] grid squares
= 31 ×\times 2
= 62 m2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Here is a plan of Garth's tiled outdoor area.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20303_v1a.svg 400 indent vpad
The total area of the dark tiles is 48 m$^2$. What is the total area of the light tiles in Garth's outdoor area?
workedSolution
24 dark tiles = 48 m$^2$ $\therefore$ 1 grid square = 2 m$^2$
| | | | --------------------- | -------------------------------------------- | | Total light tile area | = [(11 $\times$ 5) $-$ 24] grid squares | | | = 31 $\times$ 2 | | | = {{{correctAnswer}}} |
correctAnswer
62 m$^2$

Answers

Is Correct?Answer
x

31 m2^2

✓

62 m2^2

x

93 m2^2

x

96 m2^2

Variant 2

DifficultyLevel

622

Question

Here is a plan of Rita's tiled hallway area.



The total area of the dark tiles is 15 m2^2.

What is the total area of the light tiles in Rita's hallway area?

Worked Solution

30 dark tiles = 15 m2^2

∴\therefore 1 grid square = 0.5 m2^2
Total light tile area = [(10 ×\times 4) −- 30] grid squares
= 10 ×\times 0.5
= 5 m2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Here is a plan of Rita's tiled hallway area.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20303_v2.svg 350 indent vpad
The total area of the dark tiles is 15 m$^2$. What is the total area of the light tiles in Rita's hallway area?
workedSolution
30 dark tiles = 15 m$^2$ $\therefore$ 1 grid square = 0.5 m$^2$
| | | | --------------------- | -------------------------------------------- | | Total light tile area | = [(10 $\times$ 4) $-$ 30] grid squares | | | = 10 $\times$ 0.5 | | | = {{{correctAnswer}}} |
correctAnswer
5 m$^2$

Answers

Is Correct?Answer
✓

5 m2^2

x

7.5 m2^2

x

10 m2^2

x

20 m2^2

Variant 3

DifficultyLevel

637

Question

Here is a plan of Reece's tiled courtyard area.



The total area of the dark tiles is 66 m2^2.

What is the total area of the light tiles in Reece's courtyard area?

Worked Solution

22 dark tiles = 66 m2^2

∴\therefore 1 grid rectangle = 3 m2^2
Total light tile area = [(13 ×\times 5) −- 22] grid rectangles
= 43 ×\times 3
= 129 m2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Here is a plan of Reece's tiled courtyard area.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20303_v3.svg 400 indent vpad
The total area of the dark tiles is 66 m$^2$. What is the total area of the light tiles in Reece's courtyard area?
workedSolution
22 dark tiles = 66 m$^2$ $\therefore$ 1 grid rectangle = 3 m$^2$
| | | | --------------------- | -------------------------------------------- | | Total light tile area | = [(13 $\times$ 5) $-$ 22] grid rectangles | | | = 43 $\times$ 3 | | | = {{{correctAnswer}}} |
correctAnswer
129 m$^2$

Answers

Is Correct?Answer
x

43 m2^2

✓

129 m2^2

x

132 m2^2

x

195 m2^2

Variant 4

DifficultyLevel

629

Question

Here is a plan of a stained glass window in a cathedral.



The total area of the clear glass is 36 m2^2.

What is the total area of the coloured glass in the cathedral window?

Worked Solution

18 clear glass squares = 36 m2^2

∴\therefore 1 grid square = 2 m2^2
Total coloured glass area = [(8 ×\times 4) −- 18] grid squares
= 14 ×\times 2
= 28 m2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Here is a plan of a stained glass window in a cathedral.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20303_v4a.svg 410 indent vpad
The total area of the clear glass is 36 m$^2$. What is the total area of the coloured glass in the cathedral window?
workedSolution
18 clear glass squares = 36 m$^2$ $\therefore$ 1 grid square = 2 m$^2$
| | | | --------------------- | -------------------------------------------- | | Total coloured glass area | = [(8 $\times$ 4) $-$ 18] grid squares | | | = 14 $\times$ 2 | | | = {{{correctAnswer}}} |
correctAnswer
28 m$^2$

Answers

Is Correct?Answer
x

14 m2^2

x

18 m2^2

✓

28 m2^2

x

64 m2^2

Variant 5

DifficultyLevel

622

Question

Here is a plan of Jonathon's vegetable garden area.



The total area of the seedlings is 12 m2^2.

What is the total area of the woodchips in Jonathon's vegetable garden area?

Worked Solution

24 seedlings = 12 m2^2

∴\therefore 1 grid square = 0.5 m2^2
Total light tile area = [(12 ×\times 5) −- 24] grid rectangles
= 36 ×\times 0.5
= 18 m2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Here is a plan of Jonathon's vegetable garden area.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20303_v5.svg 500 indent vpad
The total area of the seedlings is 12 m$^2$. What is the total area of the woodchips in Jonathon's vegetable garden area?
workedSolution
24 seedlings = 12 m$^2$ $\therefore$ 1 grid square = 0.5 m$^2$
| | | | --------------------- | -------------------------------------------- | | Total light tile area | = [(12 $\times$ 5) $-$ 24] grid rectangles | | | = 36 $\times$ 0.5 | | | = {{{correctAnswer}}} |
correctAnswer
18 m$^2$

Answers

Is Correct?Answer
✓

18 m2^2

x

24 m2^2

x

36 m2^2

x

48 m2^2

Tags