Numerical reasoning - percentages of subsets

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From users who are members of Gilas Review (Grade 6) :

John Ian Keng

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4 years, 8 months ago

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John Ian Keng 4 years, 8 months ago

Published this.

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John Ian Keng 4 years, 8 months ago

Gave some feedback: Ready to use

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John Ian Keng 4 years, 8 months ago

Gave some feedback: Ready to use

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John Ian Keng 4 years, 8 months ago

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

females	integer	20
describefemales	boolean	false
femaleproject	integer	90
males	integer	80
depmaleproject	rational	32
project	rational	50
depfemaleproject	rational	18
maleproject	integer	40

Automatically regenerate variables?

Name

Data type

Value

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

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
males
project

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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This question is used in the following exam:

Learning Library Assessment Tool (Grade 6) ver 0.0 by John Ian Keng in Gilas Review (Grade 6).

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Numerical reasoning - percentages of subsets

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

John Ian Keng 4 years, 8 months ago

John Ian Keng 4 years, 8 months ago

John Ian Keng 4 years, 8 months ago

John Ian Keng 4 years, 8 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

John Ian Keng 4 years, 8 months ago

John Ian Keng 4 years, 8 months ago

John Ian Keng 4 years, 8 months ago

John Ian Keng 4 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

1. Females

2. Males

Generated value: `integer`