Number, NAPX-G3-NC24

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

633

Question

This shape is made with three regular hexagons and three rhombuses.



What fraction of the shape is shaded?

Worked Solution

The three shaded smaller rhombuses can be joined to form a regular hexagon.

Therefore there is the equivalent of 4 whole hexagons in the shape.

∴\therefore Fraction shaded is 12\dfrac{1}{2}.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This shape is made with three regular hexagons and three rhombuses.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-NC24.svg 200 indent3 vpad
What fraction of the shape is shaded?
workedSolution
The three shaded smaller rhombuses can be joined to form a regular hexagon. Therefore there is the equivalent of 4 whole hexagons in the shape. $\therefore$ Fraction shaded is {{{correctAnswer}}}.
correctAnswer
$\dfrac{1}{2}$

Answers

Is Correct?Answer
x

13\dfrac{1}{3}

✓

12\dfrac{1}{2}

x

35\dfrac{3}{5}

x

23\dfrac{2}{3}

Variant 1

DifficultyLevel

631

Question

This shape is made with three regular hexagons and three rhombuses.



What fraction of the shape is unshaded?

Worked Solution

The three shaded smaller rhombuses can be joined to form a regular hexagon.

So there is the equivalent of 2 shaded and 2 unshaded hexagons.

∴\therefore Fraction unshaded is 12\dfrac{1}{2}.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This shape is made with three regular hexagons and three rhombuses.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-NC24.svg 200 indent3 vpad
What fraction of the shape is unshaded?
workedSolution
The three shaded smaller rhombuses can be joined to form a regular hexagon. So there is the equivalent of 2 shaded and 2 unshaded hexagons. $\therefore$ Fraction unshaded is {{{correctAnswer}}}.
correctAnswer
$\dfrac{1}{2}$

Answers

Is Correct?Answer
x

23\dfrac{2}{3}

x

35\dfrac{3}{5}

✓

12\dfrac{1}{2}

x

13\dfrac{1}{3}

Variant 2

DifficultyLevel

634

Question

This shape is made with three regular hexagons and three rhombuses.



What fraction of the shape is unshaded?

Worked Solution

The three hexagons can be divided into 9 rhombuses.

So there is the equivalent of 12 rhombuses in the whole shape.

Therefore there is the equivalent of 5 shaded rhombuses and 7 unshaded rhombuses.

∴\therefore Fraction unshaded is 712\dfrac{7}{12}.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This shape is made with three regular hexagons and three rhombuses.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Number_NAPX-G3-NC24_v2.svg 200 indent3 vpad
What fraction of the shape is unshaded?
workedSolution
The three hexagons can be divided into 9 rhombuses. So there is the equivalent of 12 rhombuses in the whole shape. Therefore there is the equivalent of 5 shaded rhombuses and 7 unshaded rhombuses. $\therefore$ Fraction unshaded is {{{correctAnswer}}}.
correctAnswer
$\dfrac{7}{12}$

Answers

Is Correct?Answer
x

512\dfrac{5}{12}

x

12\dfrac{1}{2}

✓

712\dfrac{7}{12}

x

23\dfrac{2}{3}

Variant 3

DifficultyLevel

623

Question

This shape is made with three regular hexagons and three rhombuses.



What fraction of the shape is shaded?

Worked Solution

The three hexagons can be divided into 9 rhombuses.

So there is the equivalent of 12 rhombuses in the whole shape.

Therefore there is the equivalent of 5 shaded rhombuses and 7 unshaded rhombuses.

∴\therefore Fraction shaded is 512\dfrac{5}{12}.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This shape is made with three regular hexagons and three rhombuses.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Number_NAPX-G3-NC24_v2.svg 200 indent3 vpad
What fraction of the shape is shaded?
workedSolution
The three hexagons can be divided into 9 rhombuses. So there is the equivalent of 12 rhombuses in the whole shape. Therefore there is the equivalent of 5 shaded rhombuses and 7 unshaded rhombuses. $\therefore$ Fraction shaded is {{{correctAnswer}}}.
correctAnswer
$\dfrac{5}{12}$

Answers

Is Correct?Answer
✓

512\dfrac{5}{12}

x

12\dfrac{1}{2}

x

712\dfrac{7}{12}

x

23\dfrac{2}{3}

Variant 4

DifficultyLevel

640

Question

This shape is made with nine regular hexagons and nine rhombuses.



What fraction of the shape is unshaded?

Worked Solution

Three rhombuses can be joined to form one regular hexagon.

There are 9 rhombuses and 9 hexagons.

So there is the equivalent of 12 hexagons in total.

The equivalent of 5 hexagons are shaded and 7 are unshaded

∴\therefore Fraction unshaded is 712\dfrac{7}{12}.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This shape is made with nine regular hexagons and nine rhombuses.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Number_NAPX-G3-NC24_v4_5.svg 240 indent3 vpad
What fraction of the shape is unshaded?
workedSolution
Three rhombuses can be joined to form one regular hexagon. There are 9 rhombuses and 9 hexagons. So there is the equivalent of 12 hexagons in total. The equivalent of 5 hexagons are shaded and 7 are unshaded $\therefore$ Fraction unshaded is {{{correctAnswer}}}.
correctAnswer
$\dfrac{7}{12}$

Answers

Is Correct?Answer
x

12\dfrac{1}{2}

x

512\dfrac{5}{12}

x

35\dfrac{3}{5}

✓

712\dfrac{7}{12}

Variant 5

DifficultyLevel

640

Question

This shape is made with nine regular hexagons and nine rhombuses.



What fraction of the shape is unshaded?

Worked Solution

Three rhombuses can be joined to form one regular hexagon.

There are 9 rhombuses and 9 hexagons.

So there is the equivalent of 12 hexagons in total.

The equivalent of 5 hexagons are shaded and 7 are unshaded

∴\therefore Fraction shaded is 512\dfrac{5}{12}.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This shape is made with nine regular hexagons and nine rhombuses.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Number_NAPX-G3-NC24_v4_5.svg 240 indent3 vpad
What fraction of the shape is unshaded?
workedSolution
Three rhombuses can be joined to form one regular hexagon. There are 9 rhombuses and 9 hexagons. So there is the equivalent of 12 hexagons in total. The equivalent of 5 hexagons are shaded and 7 are unshaded $\therefore$ Fraction shaded is {{{correctAnswer}}}.
correctAnswer
$\dfrac{5}{12}$

Answers

Is Correct?Answer
x

13\dfrac{1}{3}

✓

512\dfrac{5}{12}

x

12\dfrac{1}{2}

x

712\dfrac{7}{12}

Tags