Number, NAPX-G4-NC26

Question

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Worked Solution

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Variant 0

DifficultyLevel

684

Question

The table below shows all the people at Vamp's birthday party.


Male Female
Adult 35 15
Child 30 20


What fraction of the children at the party are female?

Worked Solution
Fraction = female childrentotal children\dfrac{\text{female children}}{\text{total children}}
= 20(30+20)\dfrac{20}{(30 + 20)}
= 2050\dfrac{20}{50}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The table below shows all the people at Vamp's birthday party.
>>| | Male | Female | |:-:|:-:|:-:| | Adult| 35| 15 | | Child| 30| 20|

What fraction of the children at the party are female?
workedSolution
| | | | --------------------- | -------------- | | Fraction | \= $\dfrac{\text{female children}}{\text{total children}}$ | | | | | | \= $\dfrac{20}{(30 + 20)}$ | | | | || \= {{{correctAnswer}}}|
correctAnswer
$\dfrac{20}{50}$

Answers

Is Correct?Answer
x

2030\dfrac{20}{30}

✓

2050\dfrac{20}{50}

x

3550\dfrac{35}{50}

x

20100\dfrac{20}{100}

x

35100\dfrac{35}{100}

Variant 1

DifficultyLevel

680

Question

The table below shows all the members in a tennis club.


Male Female
Left-handed 15 10
Right-handed 45 30


What fraction of the left-handed players in the club are female?

Worked Solution
Fraction = female left-handerstotal left-handers\dfrac{\text{female left-handers}}{\text{total left-handers}}
= 10(15+10)\dfrac{10}{(15 + 10)}
= 1025\dfrac{10}{25}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The table below shows all the members in a tennis club.
>>| | Male | Female | |:-:|:-:|:-:| | Left-handed| 15| 10 | | Right-handed| 45| 30|

What fraction of the left-handed players in the club are female?
workedSolution
| | | | --------------------- | -------------- | | Fraction | \= $\dfrac{\text{female left-handers}}{\text{total left-handers}}$ | | | | | | \= $\dfrac{10}{(15 + 10)}$ | | | | || \= {{{correctAnswer}}}|
correctAnswer
$\dfrac{10}{25}$

Answers

Is Correct?Answer
x

10100\dfrac{10}{100}

x

1040\dfrac{10}{40}

x

1030\dfrac{10}{30}

✓

1025\dfrac{10}{25}

x

1545\dfrac{15}{45}

Variant 2

DifficultyLevel

682

Question

The table below shows all the members in a junior AFL club.


Male Female
Right-footed 45 30
Left-footed 20 5


What fraction of the right-footed players in the club are female?

Worked Solution
Fraction = female right-footerstotal right-footers\dfrac{\text{female right-footers}}{\text{total right-footers}}
= 30(45+30)\dfrac{30}{(45 + 30)}
= 3075\dfrac{30}{75}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The table below shows all the members in a junior AFL club.
>>| | Male | Female | |:-:|:-:|:-:| | Right-footed| 45| 30 | | Left-footed| 20| 5|

What fraction of the right-footed players in the club are female?
workedSolution
| | | | --------------------- | -------------- | | Fraction | \= $\dfrac{\text{female right-footers}}{\text{total right-footers}}$ | | | | | | \= $\dfrac{30}{(45 + 30)}$ | | | | || \= {{{correctAnswer}}}|
correctAnswer
$\dfrac{30}{75}$

Answers

Is Correct?Answer
✓

3075\dfrac{30}{75}

x

30100\dfrac{30}{100}

x

4565\dfrac{45}{65}

x

535\dfrac{5}{35}

x

3035\dfrac{30}{35}

Variant 3

DifficultyLevel

678

Question

The table below shows all the people watching the movie "Minions: The Rise of Gru" in Cinemas 1 and 2 at 2:30 pm at the local movie complex.


Cinema 1 Cinema 2
Adult 80 120
Child 90 100


What fraction of the adults were in Cinema 2?

Worked Solution
Fraction = adults in Cinema 2total adults\dfrac{\text{adults in Cinema 2}}{\text{total adults}}
= 120(80+120)\dfrac{120}{(80 + 120)}
= 120200\dfrac{120}{200}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The table below shows all the people watching the movie "Minions: The Rise of Gru" in Cinemas 1 and 2 at 2:30 pm at the local movie complex.
>>| | Cinema 1| Cinema 2| |:-:|:-:|:-:| | Adult| 80| 120 | | Child| 90| 100 |

What fraction of the adults were in Cinema 2?
workedSolution
| | | | --------------------- | -------------- | | Fraction | \= $\dfrac{\text{adults in Cinema 2}}{\text{total adults}}$ | | | | | | \= $\dfrac{120}{(80 + 120)}$ | | | | || \= {{{correctAnswer}}}|
correctAnswer
$\dfrac{120}{200}$

Answers

Is Correct?Answer
x

100190\dfrac{100}{190}

x

120190\dfrac{120}{190}

✓

120200\dfrac{120}{200}

x

80390\dfrac{80}{390}

x

120390\dfrac{120}{390}

Variant 4

DifficultyLevel

688

Question

Two Year 9 classes, 9A and 9B, attended a Careers Expo. Each student was given an orange or a purple wrist band.

The table below summarises this information.


Orange Wrist Band Purple Wrist Band
Students in 9A 9 21
Students in 9B 16 12


What fraction of the total number of students were given orange wrist bands?

Worked Solution
Fraction = total orange wrist bandstotal students\dfrac{\text{total orange wrist bands}}{\text{total students}}
= 9+16(9+16+21+12)\dfrac{9+16}{(9+16+21+12)}
= 2558\dfrac{25}{58}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Two Year 9 classes, 9A and 9B, attended a Careers Expo. Each student was given an orange or a purple wrist band. The table below summarises this information.
>> | | Orange Wrist Band |Purple Wrist Band| |:-:|:-:|:-:| | Students in 9A| 9| 21 | | Students in 9B| 16| 12 |

What fraction of the total number of students were given orange wrist bands?
workedSolution
| | | | --------------------- | -------------- | | Fraction | \= $\dfrac{\text{total orange wrist bands}}{\text{total students}}$ | | | | | | \= $\dfrac{9+16}{(9+16+21+12)}$ | | | | || \= {{{correctAnswer}}}|
correctAnswer
$\dfrac{25}{58}$

Answers

Is Correct?Answer
x

1628\dfrac{16}{28}

x

930\dfrac{9}{30}

x

2533\dfrac{25}{33}

x

3358\dfrac{33}{58}

✓

2558\dfrac{25}{58}

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