Number, NAPX-G4-NC19

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

645

Question

This shape is made up of 9 squares.



What fraction of the shape is unshaded?

Worked Solution

Dividing each square into 4 triangles:

Number of unshaded triangles = 10
∴\therefore Fraction unshaded = 109×4\dfrac{10}{9 \times 4}
= 1036\dfrac{10}{36}
= 518\dfrac{5}{18}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This shape is made up of 9 squares.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-G4-NC19.svg 220 indent3 vpad
What fraction of the shape is unshaded?
workedSolution
Dividing each square into 4 triangles: Number of unshaded triangles = 10
| | | | --------------------- | -------------- | | $\therefore$ Fraction unshaded | \= $\dfrac{10}{9 \times 4}$ | ||| | | \= $\dfrac{10}{36}$ | ||| | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{5}{18}$

Answers

Is Correct?Answer
x

29\dfrac{2}{9}

✓

518\dfrac{5}{18}

x

13\dfrac{1}{3}

x

718\dfrac{7}{18}

Variant 1

DifficultyLevel

643

Question

This shape is made up of 9 squares.



What fraction of the shape is shaded?

Worked Solution

Dividing each square into 4 triangles:

Number of shaded triangles = 26
∴\therefore Fraction shaded = 269×4\dfrac{26}{9 \times 4}
= 2636\dfrac{26}{36}
= 1318\dfrac{13}{18}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This shape is made up of 9 squares.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-G4-NC19.svg 220 indent3 vpad
What fraction of the shape is shaded?
workedSolution
Dividing each square into 4 triangles: Number of shaded triangles = 26
| | | | --------------------- | -------------- | | $\therefore$ Fraction shaded | \= $\dfrac{26}{9 \times 4}$ | ||| | | \= $\dfrac{26}{36}$ | ||| | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{13}{18}$

Answers

Is Correct?Answer
x

518\dfrac{5}{18}

x

23\dfrac{2}{3}

✓

1318\dfrac{13}{18}

x

89\dfrac{8}{9}

Variant 2

DifficultyLevel

642

Question

Mick has decided to tile his bathroom floor using shaded and unshaded tiles, as shown in the pattern below.



What fraction of the pattern is unshaded?

Worked Solution

Dividing each square into 4 triangles:

Number of unshaded triangles = 12
∴\therefore Fraction white = 129×4\dfrac{12}{9 \times 4}
= 1236\dfrac{12}{36}
= 13\dfrac{1}{3}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Mick has decided to tile his bathroom floor using shaded and unshaded tiles, as shown in the pattern below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/07/NAPX-G4-NC19-var2.svg 220 indent3 vpad
What fraction of the pattern is unshaded?
workedSolution
Dividing each square into 4 triangles: Number of unshaded triangles = 12
| | | | --------------------- | -------------- | | $\therefore$ Fraction white | \= $\dfrac{12}{9 \times 4}$ | ||| | | \= $\dfrac{12}{36}$ | ||| | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{1}{3}$

Answers

Is Correct?Answer
✓

13\dfrac{1}{3}

x

718\dfrac{7}{18}

x

518\dfrac{5}{18}

x

16\dfrac{1}{6}

Variant 3

DifficultyLevel

638

Question

Charlie has decided to tile his bathroom floor using shaded and unshaded tiles in the pattern below.


What fraction of the finished floor is shaded?

Worked Solution

Dividing each square into 4 triangles:

Number of unshaded triangles = 16
∴\therefore Fraction unshaded = 189×4\dfrac{18}{9 \times 4}
= 1636\dfrac{16}{36}
= 49\dfrac{4}{9}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Charlie has decided to tile his bathroom floor using shaded and unshaded tiles in the pattern below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/07/NAPX-G4-NC19-var3.svg 220 indent3 vpad
What fraction of the finished floor is shaded?
workedSolution
Dividing each square into 4 triangles: Number of unshaded triangles = 16
| | | | --------------------- | -------------- | | $\therefore$ Fraction unshaded | \= $\dfrac{18}{9 \times 4}$ | ||| | | \= $\dfrac{16}{36}$ | ||| | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{4}{9}$

Answers

Is Correct?Answer
✓

49\dfrac{4}{9}

x

59\dfrac{5}{9}

x

34\dfrac{3}{4}

x

1318\dfrac{13}{18}

Variant 4

DifficultyLevel

637

Question

Juliet has decided to tile her balcony floor using shaded and unshaded tiles in the pattern below.


What fraction of the tiles will be unshaded?

Worked Solution

Dividing each square into 4 triangles:

Number of unshaded triangles = 20
∴\therefore Fraction unshaded = 209×4\dfrac{20}{9 \times 4}
= 2036\dfrac{20}{36}
= 59\dfrac{5}{9}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Juliet has decided to tile her balcony floor using shaded and unshaded tiles in the pattern below.

sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/07/NAPX-G4-NC19-var4.svg 220 indent3 vpad
What fraction of the tiles will be unshaded?
workedSolution
Dividing each square into 4 triangles: Number of unshaded triangles = 20
| | | | --------------------- | -------------- | | $\therefore$ Fraction unshaded | \= $\dfrac{20}{9 \times 4}$ | ||| | | \= $\dfrac{20}{36}$ | ||| | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{5}{9}$

Answers

Is Correct?Answer
x

13\dfrac{1}{3}

x

49\dfrac{4}{9}

x

23\dfrac{2}{3}

✓

59\dfrac{5}{9}

Variant 5

DifficultyLevel

635

Question

Jamie has decided to tile his back deck using shaded and unshaded tiles in the pattern below.


What fraction of the tiles will be shaded?

Worked Solution

Dividing each square into 4 triangles:

Number of shaded triangles = 24
∴\therefore Fraction shaded = 249×4\dfrac{24}{9 \times 4}
= 2436\dfrac{24}{36}
= 23\dfrac{2}{3}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jamie has decided to tile his back deck using shaded and unshaded tiles in the pattern below.

sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/07/NAPX-G4-NC19-var2.svg 220 indent3 vpad
What fraction of the tiles will be shaded?
workedSolution
Dividing each square into 4 triangles: Number of shaded triangles = 24
| | | | --------------------- | -------------- | | $\therefore$ Fraction shaded | \= $\dfrac{24}{9 \times 4}$ | ||| | | \= $\dfrac{24}{36}$ | ||| | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{2}{3}$

Answers

Is Correct?Answer
x

13\dfrac{1}{3}

x

49\dfrac{4}{9}

x

59\dfrac{5}{9}

✓

23\dfrac{2}{3}

Tags