Numerical reasoning - percentages of subsets

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Christian Lawson-Perfect

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Christian Lawson-Perfect

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9 years, 11 months ago

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Christian Lawson-Perfect 9 years, 11 months ago

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Christian Lawson-Perfect 12 years, 4 months ago

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Name	Status	Author	Last Modified
Numerical reasoning - percentages of subsets	Ready to use	Christian Lawson-Perfect	01/06/2016 11:12
James's copy of Numerical reasoning - percentages of subsets	Ready to use	James McEvoy	10/09/2019 13:40
Lois's copy of James's copy of Numerical reasoning - percentages of subsets	draft	Lois Rollings	07/12/2016 15:58
Lois's copy of Numerical reasoning - percentages of subsets	draft	Lois Rollings	13/01/2017 12:57
Numerical reasoning - percentages of subsets	Ready to use	John Ian Keng	27/06/2020 07:14

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Question statement

In a certain department, {femaleproject}% of the females and {maleproject}% of the males are working on a project. {if(describefemales,females,males)}% of the department is {if(describefemales,'female','male')}.

Give any introductory information the student needs.

			Name	Type	Generated Value

females	integer	50
describefemales	boolean	true
femaleproject	integer	60
males	integer	50
depmaleproject	rational	15
project	rational	45
depfemaleproject	rational	30
maleproject	integer	30

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
//percentage of all employees who are female
    random(20..80#5)

JME function reference

Description

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Generated value: `integer`

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1. Gap Number entry
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What percentage of the department is working on the project?

Unnamed gap %

Advice

Calculate separately the percentage of employees who are female and working on the project, and the percentage who are male and working on the project, and add them together.

1. Females

{females}% of the department is female and {femaleproject}% of females are working on the project, hence the proportion of workers who are female and working on the project is {femaleproject}% of {females}% of the workers.

In terms of fractions this is

$\frac{\var{femaleproject}}{100} \times \frac{\var{females}}{100} = \frac{\var{femaleproject*females}}{10000} = \frac{\var{depfemaleproject}}{100}$ of the workers, ie {depfemaleproject}%.

So {depfemaleproject}% of the departmental staff are working on the project and female.

2. Males

{males}% of the department is male and {maleproject}% of males are working on the project, hence the proportion of workers who are male and working on the project is {maleproject}% of {males}% of the workers.

In terms of fractions this is

$\frac{\var{maleproject}}{100} \times \frac{\var{males}}{100} = \frac{\var{maleproject*males}}{10000} = \frac{\var{depmaleproject}}{100}$ of the workers, ie {depmaleproject}%.

So {depmaleproject}% of the departmental staff are working on the project and male.

So the total percentage of departmental staff working on the project is $\var{depfemaleproject}\% + \var{depmaleproject}\% = \var{project}\%$ .

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Numerical reasoning - percentages of subsets

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Christian Lawson-Perfect 9 years, 11 months ago

Christian Lawson-Perfect 12 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

1. Females

2. Males

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Error

Numerical reasoning - percentages of subsets

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 9 years, 11 months ago

Christian Lawson-Perfect 12 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

1. Females

2. Males

Generated value: `integer`