Number, NAPX-J4-NC07 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

637

Question

An African wildlife reserve has 480 elephants.

Of the 480 elephants, 58\dfrac{5}{8} of them weigh more than 4000 kilograms.

Of the elephants that weigh more than 4000 kilograms, 14\dfrac{1}{4} weigh more than 6000 kilograms.

How many elephants in the reserve weigh more than 6000 kilograms?

Worked Solution

Number of elephants > 4000 kg
= 58\dfrac{5}{8} × 480
= 300

Number of elephants > 6000 kg
= 14×300\dfrac{1}{4} \times 300
= 75

Question Type

Answer Box

Variables

Variable nameVariable value
question
An African wildlife reserve has 480 elephants. Of the 480 elephants, $\dfrac{5}{8}$ of them weigh more than 4000 kilograms. Of the elephants that weigh more than 4000 kilograms, $\dfrac{1}{4}$ weigh more than 6000 kilograms. How many elephants in the reserve weigh more than 6000 kilograms?
workedSolution
sm_nogap Number of elephants > 4000 kg
>>|| |-| |= $\dfrac{5}{8}$ × 480| |= 300|

sm_nogap Number of elephants > 6000 kg
>>|| |-| |= $\dfrac{1}{4} \times 300$| |= {{{correctAnswer0}}} |
correctAnswer0
75
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer075

Variant 1

DifficultyLevel

647

Question

25 000 humpback whales migrate up the east coast of Australia every winter.

Of the 25 000 humpbacks, 35\dfrac{3}{5} weigh more than 30 tonnes.

Of those that weigh more than 30 tonnes, 16\dfrac{1}{6} weigh more than 40 tonnes.

How many humpbacks in the migration weigh more than 40 tonnes?

Worked Solution

Number of humpbacks > 30 tonnes
= 35\dfrac{3}{5} × 25 000
= 15 000

Number of humpbacks > 40 tonnes
= 16\dfrac{1}{6} × 15 000
= 2500

Question Type

Answer Box

Variables

Variable nameVariable value
question
25 000 humpback whales migrate up the east coast of Australia every winter. Of the 25 000 humpbacks, $\dfrac{3}{5}$ weigh more than 30 tonnes. Of those that weigh more than 30 tonnes, $\dfrac{1}{6}$ weigh more than 40 tonnes. How many humpbacks in the migration weigh more than 40 tonnes?
workedSolution
sm_nogap Number of humpbacks > 30 tonnes
>>|| |-| |= $\dfrac{3}{5}$ × 25 000| |= 15 000|

sm_nogap Number of humpbacks > 40 tonnes
>>|| |-| |= $\dfrac{1}{6}$ × 15 000| |= {{{correctAnswer0}}} |
correctAnswer0
2500
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer02500

Variant 2

DifficultyLevel

614

Question

A soccer team plays 24 games in a season.

Wet weather resulted in 23\dfrac{2}{3} of the games being rescheduled as the grounds were saturated.

Of the rescheduled games, 38\dfrac{3}{8} were rescheduled again due to wet weather.

How many games were rescheduled more than once?

Worked Solution

Number of games rescheduled
= 23\dfrac{2}{3} × 24
= 16

Number of games rescheduled more than once
= 38×16\dfrac{3}{8} \times 16
= 6

Question Type

Answer Box

Variables

Variable nameVariable value
question
A soccer team plays 24 games in a season. Wet weather resulted in $\dfrac{2}{3}$ of the games being rescheduled as the grounds were saturated. Of the rescheduled games, $\dfrac{3}{8}$ were rescheduled again due to wet weather. How many games were rescheduled more than once?
workedSolution
sm_nogap Number of games rescheduled
>>|| |-| |= $\dfrac{2}{3}$ × 24| |= 16|

sm_nogap Number of games rescheduled more than once
>>|| |-| |= $\dfrac{3}{8} \times 16$| |= {{{correctAnswer0}}} |
correctAnswer0
6
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer06

Variant 3

DifficultyLevel

624

Question

Last week a hospital emergency department attended to 243 patients.

Of the 243 patients, 13\dfrac{1}{3} of them waited longer than 30 minutes to see a doctor.

Of the patients that waited longer than 30 minutes to see a doctor, 29\dfrac{2}{9} waited longer than one hour.

How many patients in the emergency department waited longer than one hour to see a doctor?

Worked Solution

Number of patients waiting > 30 minutes
= 13\dfrac{1}{3} × 243
= 81

Number of patients waiting > 1 hour
= 29×81\dfrac{2}{9} \times 81
= 18

Question Type

Answer Box

Variables

Variable nameVariable value
question
Last week a hospital emergency department attended to 243 patients. Of the 243 patients, $\dfrac{1}{3}$ of them waited longer than 30 minutes to see a doctor. Of the patients that waited longer than 30 minutes to see a doctor, $\dfrac{2}{9}$ waited longer than one hour. How many patients in the emergency department waited longer than one hour to see a doctor?
workedSolution
sm_nogap Number of patients waiting > 30 minutes
>>|| |-| |= $\dfrac{1}{3}$ × 243| |= 81|

sm_nogap Number of patients waiting > 1 hour
>>|| |-| |= $\dfrac{2}{9} \times 81$| |= {{{correctAnswer0}}} |
correctAnswer0
18
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer018

Variant 4

DifficultyLevel

627

Question

An inner city tram has a capacity of 270 passengers with some seated and the rest standing.

There are seats for 29\dfrac{2}{9} of the 270 passengers.

Of the seats provided, 15\dfrac{1}{5} are priority seats for less mobile passengers.

How many of the seats are priority seats?

Worked Solution

Number of seats provided
= 29\dfrac{2}{9} × 270
= 60

Number of priority seats
= 15×60\dfrac{1}{5} \times 60
= 12

Question Type

Answer Box

Variables

Variable nameVariable value
question
An inner city tram has a capacity of 270 passengers with some seated and the rest standing. There are seats for $\dfrac{2}{9}$ of the 270 passengers. Of the seats provided, $\dfrac{1}{5}$ are priority seats for less mobile passengers. How many of the seats are priority seats?
workedSolution
sm_nogap Number of seats provided
>>|| |-| |= $\dfrac{2}{9}$ × 270| |= 60|

sm_nogap Number of priority seats
>>|| |-| |= $\dfrac{1}{5} \times 60$| |= {{{correctAnswer0}}} |
correctAnswer0
12
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer012

Variant 5

DifficultyLevel

646

Question

A school bus leaves school carrying 60 seated students and 15 standing students.

23\dfrac{2}{3} of the students remain on the bus for more than 5 stops.

Of the students on the bus for more than 5 stops, 310\dfrac{3}{10} are on the bus for more than 7 stops.

How many of the students are on the bus for more than 7 stops?

Worked Solution

Total students = 60 + 15 = 75

Number of students > 5 stops
= 23\dfrac{2}{3} × 75
= 50

Number of passengers > 7 stops
= 310×50\dfrac{3}{10} \times 50
= 15

Question Type

Answer Box

Variables

Variable nameVariable value
question
A school bus leaves school carrying 60 seated students and 15 standing students. $\dfrac{2}{3}$ of the students remain on the bus for more than 5 stops. Of the students on the bus for more than 5 stops, $\dfrac{3}{10}$ are on the bus for more than 7 stops. How many of the students are on the bus for more than 7 stops?
workedSolution
sm_nogap Total students = 60 + 15 = 75 sm_nogap Number of students > 5 stops
>>|| |-| |= $\dfrac{2}{3}$ × 75| |= 50|

sm_nogap Number of passengers > 7 stops
>>|| |-| |= $\dfrac{3}{10} \times 50$| |= {{{correctAnswer0}}} |
correctAnswer0
15
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer015

Tags