James's copy of Numerical reasoning - percentages of subsets

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5 years, 6 months ago

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James McEvoy 5 years, 6 months ago

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Created this as a copy of Numerical reasoning - percentages of subsets.

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

femaleproject	integer	80
depfemaleproject	rational	52
females	integer	65
maleproject	integer	50
males	integer	35
depmaleproject	rational	35/2
describefemales	boolean	false
project	rational	139/2

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
//percentage of females working on the project
    random(10..90#10)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

→ Used by:

depfemaleproject
project

Statement
Advice

Parts

Gap-fill
1. Gap Number entry
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Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

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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James's copy of Numerical reasoning - percentages of subsets

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

James McEvoy 5 years, 6 months ago

James McEvoy 8 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

1. Females

2. Males

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Error

James's copy of Numerical reasoning - percentages of subsets

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

James McEvoy 5 years, 6 months ago

James McEvoy 8 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

1. Females

2. Males

Generated value: `integer`