Calculate density in SI units at various orders of magnitude

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Christian Lawson-Perfect

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From users who are members of Quantities extension :

Christian Lawson-Perfect

said

Needs to be tested

6 years, 8 months ago

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Christian Lawson-Perfect 6 years, 8 months ago

Gave some feedback: Needs to be tested

○

Christian Lawson-Perfect 6 years, 8 months ago

Created this as a copy of Quantities.

Name	Status	Author	Last Modified
Quantities	draft	Christian Lawson-Perfect	02/07/2018 11:14
Johan's copy of Quantities	draft	Johan Maertens	13/06/2018 16:41
Calculate density in SI units at various orders of magnitude	Needs to be tested	Christian Lawson-Perfect	09/01/2020 08:43

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Question statement

An object has mass {mass} and volume {volume}.

Give any introductory information the student needs.

			Name	Type	Generated Value

density	quantity	quantity(7, "mg/m^3")
volume	quantity	quantity(300, "m^3")
mass	quantity	quantity(2100, "mg")
units	quantity	quantity(1, "mg")

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..10)*units/quantity("m^3")

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: `quantity`

quantity(7, "mg/m^3")

← Depends on:

units

→ Used by:

mass

This variable doesn't seem to be used anywhere.

Parts

Quantity with units

Quantity with units

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

What is the object's density, in SI units?

Help with this part type

Marks

Show correct answer on reveal?

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Correct answer

xxxxxxxxxx
 
as_si(density)

The expected quantity.

Input hint

Allow unitless answer?

If not ticked, the student is prevented from submitting an answer without specifying units.

What to do if incompatible units used

If the student's answer is given in units incompatible with the correct answer's units:

"Prevent submission": Prevent the student from submitting until they use compatible units
"Mark as incorrect": Mark the student's answer as incorrect.
"Mark as if correct units used": Mark the student's answer as if they used the correct units, and apply the "different units used" penalty.

What to do if different units used

If the student's answer is given in different units to the expected answer:

"Convert" - silently convert the student's answer to the units used in the correct answer.
"Warn and convert" - show a warning to the student, but convert.
"Prevent submission" - don't allow the student to submit, and show a warning that they must use the same units.
"Mark incorrect" - the student's answer is marked as incorrect.

Penalty if different units used

100%

This penalty is applied if the student gives their answer in different units to the expected answer. The selected percentage of the student's score is taken away.

Margin of error

$10^{ -12 }$

The student's answer is marked correct if the difference between it and the correct answer is at most this value, measured in the same units as the correct answer.

Advice

Density is given by the formula

\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

In this case,

\[ \text{Density} = \frac{\var{mass}}{\var{volume}} = \var{density} \]

Give a worked solution to the whole question.

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Part	Test	Passed?
Quantity with units
Quantity with units		Hasn't run yet

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Calculate density in SI units at various orders of magnitude

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 6 years, 8 months ago

Christian Lawson-Perfect 6 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `quantity`

Parts

Quantity with units

Loading...

Error

Calculate density in SI units at various orders of magnitude

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 6 years, 8 months ago

Christian Lawson-Perfect 6 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: quantity

Parts

Quantity with units

Generated value: `quantity`