Numerical reasoning - tax - Numbas at mathcentre.ac.uk

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Christian Lawson-Perfect

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Christian Lawson-Perfect

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10 years, 1 month ago

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Christian Lawson-Perfect 2 years, 4 months ago

Saved a checkpoint:

Renamed the variable 'name' to 'names' to avoid a conflict with the marking algorithm.

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Christian Lawson-Perfect 10 years, 1 month ago

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Christian Lawson-Perfect 12 years, 6 months ago

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Name	Status	Author	Last Modified
Numerical reasoning - tax	Ready to use	Christian Lawson-Perfect	19/12/2022 11:45
Nuala's copy of Numerical reasoning - tax	Ready to use	Nuala Davis	09/06/2016 11:21
Lois's copy of Numerical reasoning - tax	draft	Lois Rollings	13/01/2017 10:34

Question statement

{names} has a salary of £{commanumber(salary)} per year.

{capitalise(he)} has a tax allowance of £{commanumber(allowance)} and {he} pays income tax at {tax}% on the rest.

{capitalise(he)} pays into a pension and for this {his} salary is deducted {pension}% after tax has been deducted.

Give any introductory information the student needs.

			Name	Type	Generated Value

salary	integer	25000
aftertax	rational	21760
incomepermonth	decimal	dec("1541.33")
his	string	her
names	string	Beatrice
netincome	rational	18496
pensiondeduction	rational	3264
tax	integer	18
pension	integer	15
taxedincome	rational	3240
he	string	she
allowance	integer	7000

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Name

Data type

Value

xxxxxxxxxx
 
random(18000..50000#1000)

JME function reference

Description

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

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Generated value: `integer`

25000

This variable doesn't seem to be used anywhere.

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How much does {he} get per month, assuming that these are the only deductions?

£ Unnamed gap (to the nearest penny)

Advice

{names} is only taxed on the amount remaining after taking away the allowance, i.e. $£\var{commanumber(salary)} - £\var{commanumber(allowance)} = £\var{commanumber(salary-allowance)}.$

Income tax is {tax}% on this $£\var{commanumber(salary-allowance)}$ and is $£\var{latex(commanumber(salary-allowance))} \times \frac{\var{tax}}{100} = £\var{commanumber(taxedincome)}.$

This leaves {names} with $£\var{commanumber(salary)} - £\var{commanumber(taxedincome)} = £\var{commanumber(aftertax)}.$

{pension}% of this is for {his} pension contributions, i.e. $£\var{commanumber(aftertax)} \times \frac{\var{pension}}{100} = £\var{commanumber(pensiondeduction)}.$

The amount left is then $£\var{commanumber(aftertax)} - £\var{commanumber(pensiondeduction)} = £\var{commanumber(precround(netincome,2))}.$

The take home pay per month is hence $\frac{\var{netincome}}{12} = £\var{commanumber(incomepermonth)}$ , to the nearest penny.

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Numerical reasoning - tax

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Taxonomy: mathcentre

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Taxonomy: Context

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Christian Lawson-Perfect 2 years, 4 months ago

Christian Lawson-Perfect 10 years, 1 month ago

Christian Lawson-Perfect 12 years, 6 months ago

Error in variable testing condition

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Generated value: `integer`

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Numerical reasoning - tax

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 2 years, 4 months ago

Christian Lawson-Perfect 10 years, 1 month ago

Christian Lawson-Perfect 12 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`