James's copy of Numerical Reasoning - percentage enlargement

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James McEvoy

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5 years, 6 months ago

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James McEvoy 5 years, 6 months ago

Gave some feedback: Ready to use

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James McEvoy 8 years, 6 months ago

Created this as a copy of Numerical Reasoning - percentage enlargement.

Name	Status	Author	Last Modified
Numerical Reasoning - percentage enlargement	Ready to use	Christian Lawson-Perfect	01/06/2016 11:12
James's copy of Numerical Reasoning - percentage enlargement	Ready to use	James McEvoy	10/09/2019 13:40
Lois's copy of James's copy of Numerical Reasoning - percentage enlargement	draft	Lois Rollings	07/12/2016 15:59
Lois's copy of Numerical Reasoning - percentage enlargement	draft	Lois Rollings	13/01/2017 12:20

There are 2 other versions that do you not have access to.

Question statement

A picture on a page was {verbed1} on a copier to {prop1}% of its original size, and this copy was then {verbed2} by {prop2}%.

Give any introductory information the student needs.

			Name	Type	Generated Value

dir1	integer	-1
dir2	integer	1
final	rational	78
prop1	integer	60
prop2	integer	30
prop2rel	integer	130
verbed1	string	reduced
verbed2	string	increased

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1,-1)

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`

-1

→ Used by:

prop1
verbed1

Parts

Gap-fill
1. Gap Number entry
  Add

Gap-fill

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

What percentage of the size of the original picture was the final copy?

Unnamed gap %

Advice

The picture has been {verbed1} to {prop1}% or $\simplify{{prop1}/100} \left(=\frac{\var{prop1}}{100}\right)$ of its original size.

So to find the size of the first copy we multiply the original size by $\simplify{{prop1}/100}$ .

If we then {verbed2} the new size by {prop2}%, the final copy would be {prop2rel}% of the size of the first copy, i.e. $\simplify{{prop2rel}/100}$ of the size of the first copy.

To get the size of the final copy as a proportion of the size of the original copy, we multiply $\simplify{{prop1}/100}$ by $\simplify{{prop2rel}/100}$ to get

$\simplify{{prop1}/100} \times \simplify{{prop2rel}/100} = \simplify{{prop1*prop2rel}/10000}$

Now to express this as a percentage we multiply by 100 and we obtain:

$\simplify{{prop1*prop2rel}/10000} \times 100 = \var{final}\%.$

So the final copy is {final}% of the size of the original picture.

Give a worked solution to the whole question.

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Part	Test	Passed?
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Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet

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James's copy of Numerical Reasoning - percentage enlargement

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Taxonomy: mathcentre

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Taxonomy: Context

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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

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James's copy of Numerical Reasoning - percentage enlargement

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

Generated value: `integer`