Measurement, NAPX-J4-CA28, NAPX-J3-CA36

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

740

Question

A square table top has an area of 9025 square centimetres.

What is the area of the table top in square millimetres?

Worked Solution

Method 1

Dimensions of square with area 9025 cm2^2 is:

95 cm × 95 cm

Converting to millimetres:

950 mm × 950 mm = 902 500 square millimetres


Method 2

Scale factor of converting cm to mm = 10

Scale factor of converting cm2^2 to mm2^2 = 10 × 10 = 100

∴\therefore 9025 cm2^2 × 100 = 902 500 square millimetres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A square table top has an area of 9025 square centimetres. What is the area of the table top in square millimetres?
workedSolution
Method 1 Dimensions of square with area 9025 cm$^2$ is: 95 cm × 95 cm Converting to millimetres: 950 mm × 950 mm = {{{correctAnswer}}}
Method 2 Scale factor of converting cm to mm = 10 Scale factor of converting cm$^2$ to mm$^2$ = 10 × 10 = 100 $\therefore$ 9025 cm$^2$ × 100 = {{{correctAnswer}}}
correctAnswer
902 500 square millimetres

Answers

Is Correct?Answer
x

9.025 square millimetres

x

90.25 square millimetres

x

90 250 square millimetres

✓

902 500 square millimetres

Variant 1

DifficultyLevel

720

Question

A large square feature tile has an area of 15 625 square centimetres.

What is the area of the feature tile in square millimetres?

Worked Solution

Dimensions of square with area 15 625 cm2^2 is:

125 cm × 125 cm

Converting to millimetres:

1250 mm × 1250 mm = 1 562 500 mm2^2


Method 2

Scale factor of converting cm to mm = 10

Scale factor of converting cm2^2 to mm2^2 = 10 × 10 = 100

∴\therefore 15 625 cm2^2 × 100 = 1 562 500 mm2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A large square feature tile has an area of 15 625 square centimetres. What is the area of the feature tile in square millimetres?
workedSolution
Dimensions of square with area 15 625 cm$^2$ is: 125 cm × 125 cm Converting to millimetres: 1250 mm × 1250 mm = {{{correctAnswer}}}
Method 2 Scale factor of converting cm to mm = 10 Scale factor of converting cm$^2$ to mm$^2$ = 10 × 10 = 100 $\therefore$ 15 625 cm$^2$ × 100 = {{{correctAnswer}}}
correctAnswer
1 562 500 mm$^2$

Answers

Is Correct?Answer
x

15.625 mm2^2

x

156.25 mm2^2

x

156 250 mm2^2

✓

1 562 500 mm2^2

Variant 2

DifficultyLevel

715

Question

A square table top has an area of 4225 square centimetres.

What is the area of the table top in square metres?

Worked Solution

Dimensions of square with area 4225 cm2^2 is:

65 cm × 65 cm

Converting to metres:

0.65 m × 0.65 m = 0.4225 m2^2


Method 2

Scale factor of converting cm to m = 1100\dfrac{1}{100}

Scale factor of converting cm2^2 to mm2^2

= 1100 × 1100\dfrac{1}{100}\ \times\ \dfrac{1}{100}


= 110 000\dfrac{1}{10\ 000}


∴\therefore 4225 cm2^2 × 110 000\dfrac{1}{10\ 000} = 0.4225 m2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A square table top has an area of 4225 square centimetres. What is the area of the table top in square metres?
workedSolution
Dimensions of square with area 4225 cm$^2$ is: 65 cm × 65 cm Converting to metres: 0.65 m × 0.65 m = {{{correctAnswer}}}
Method 2 Scale factor of converting cm to m = $\dfrac{1}{100}$ Scale factor of converting cm$^2$ to mm$^2$ >= $\dfrac{1}{100}\ \times\ \dfrac{1}{100}$
>= $\dfrac{1}{10\ 000}$
$\therefore$ 4225 cm$^2$ × $\dfrac{1}{10\ 000}$ = {{{correctAnswer}}}
correctAnswer
0.4225 m$^2$

Answers

Is Correct?Answer
✓

0.4225 m2^2

x

4.225 m2^2

x

42.25 m2^2

x

42 250 m2^2

Variant 3

DifficultyLevel

710

Question

A square fridge magnet has an area of 900 square millimetres.

What is the area of the fridge magnet in square centimetres?

Worked Solution

Dimensions of square with area 900 mm2^2 is:

30 mm × 30 mm

Converting to centimetres:

3 cm × 3 cm = 9 cm2^2


Method 2

Scale factor of converting mm to cm = 110\dfrac{1}{10}

Scale factor of converting mm2^2 to cm2^2

= 110 × 110\dfrac{1}{10}\ \times\ \dfrac{1}{10}


= 1100\dfrac{1}{100}


∴\therefore 900 mm2^2 × 1100\dfrac{1}{100} = 9 cm2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A square fridge magnet has an area of 900 square millimetres. What is the area of the fridge magnet in square centimetres?
workedSolution
Dimensions of square with area 900 mm$^2$ is: 30 mm × 30 mm Converting to centimetres: 3 cm × 3 cm = {{{correctAnswer}}}
Method 2 Scale factor of converting mm to cm = $\dfrac{1}{10}$ Scale factor of converting mm$^2$ to cm$^2$ >= $\dfrac{1}{10}\ \times\ \dfrac{1}{10}$
>= $\dfrac{1}{100}$
$\therefore$ 900 mm$^2$ × $\dfrac{1}{100}$ = {{{correctAnswer}}}
correctAnswer
9 cm$^2$

Answers

Is Correct?Answer
x

0.9 cm2^2

✓

9 cm2^2

x

90 cm2^2

x

9000 cm2^2

Variant 4

DifficultyLevel

705

Question

Jeremy's back deck is square in shape and has an area of 16 square metres.

What is the area of the deck in square centimetres?

Worked Solution

Method 1

Dimensions of square with area 16 m2^2 is:

4 m × 4 m

Converting to centimetres:

400 cm × 400 cm = 160 000 cm2^2


Method 2

Scale factor of converting m to cm = 100

Scale factor of converting m2^2 to cm2^2 = 100 × 100 = 10 000

∴\therefore 16 m2^2 × 10 000 = 160 000 cm2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jeremy's back deck is square in shape and has an area of 16 square metres. What is the area of the deck in square centimetres?
workedSolution
Method 1 Dimensions of square with area 16 m$^2$ is: 4 m × 4 m Converting to centimetres: 400 cm × 400 cm = {{{correctAnswer}}}
Method 2 Scale factor of converting m to cm = 100 Scale factor of converting m$^2$ to cm$^2$ = 100 × 100 = 10 000 $\therefore$ 16 m$^2$ × 10 000 = {{{correctAnswer}}}
correctAnswer
160 000 cm$^2$

Answers

Is Correct?Answer
x

1.6 cm2^2

x

160 cm2^2

x

16 000 cm2^2

✓

160 000 cm2^2

Variant 5

DifficultyLevel

702

Question

Vlad has a giant square chess board that has an area of 4 m2^2.

What is the area of the chess board in square centimetres?

Worked Solution

Method 1

Dimensions of square with area 4 m2^2 is:

2 m × 2 m

Converting to centiimetres:

200 cm × 200 cm = 40 000 cm2^2


Method 2

Scale factor of converting cm to m = 100

Scale factor of converting cm2^2 to m2^2 = 100 × 100 = 10 000

∴\therefore 4 m2^2 × 10 000 = 40 000 cm2^2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Vlad has a giant square chess board that has an area of 4 m$^2$. What is the area of the chess board in square centimetres?
workedSolution
Method 1 Dimensions of square with area 4 m$^2$ is: 2 m × 2 m Converting to centiimetres: 200 cm × 200 cm = {{{correctAnswer}}}
Method 2 Scale factor of converting cm to m = 100 Scale factor of converting cm$^2$ to m$^2$ = 100 × 100 = 10 000 $\therefore$ 4 m$^2$ × 10 000 = {{{correctAnswer}}}
correctAnswer
40 000 cm$^2$

Answers

Is Correct?Answer
x

40 cm2^2

x

400 cm2^2

x

4 000 cm2^2

✓

40 000 cm2^2

Tags