Calculate density given mass and volume

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Chris Graham	said	Ready to use	7 years, 7 months ago
Elliott Fletcher	said	Needs to be tested	7 years, 8 months ago

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Chris Graham commented 7 years, 7 months ago

Looks good.

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Chris Graham 7 years, 7 months ago

Gave some feedback: Ready to use

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Chris Graham commented 7 years, 7 months ago

I've added some context to the question.

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Chris Graham 7 years, 7 months ago

Gave some feedback: Needs to be tested

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Elliott Fletcher commented 7 years, 8 months ago

I have begun rewriting the step in order to add the mass/density/volume pyramid, but a custom made pyramid will have to be made in inkscape for this question.

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Chris Graham 7 years, 8 months ago

Gave some feedback: Has some problems

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Chris Graham commented 7 years, 8 months ago

At this level, I think it would be appropriate to add the classic mass/density/volume pyramid as an image in the step and all 3 equations, then let the student pick out the equation that they need to use.

The advice is a little wordy: it takes the first 3 paragraphs and equation to explain that 1kg is 1000g.

The question desperately needs a bit of context to make it interesting. There are many, many possibiities. See e.g. these Geoscience examples: https://serc.carleton.edu/mathyouneed/density/densitysp.html

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Elliott Fletcher 7 years, 8 months ago

Published this.

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Elliott Fletcher 7 years, 8 months ago

Gave some feedback: Needs to be tested

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Elliott Fletcher 7 years, 8 months ago

Created this.

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Question statement

A solid object placed in water will sink if its density is greater than that of water ( $1\text{g/cm}^3$ ).

{person['name']}'s toy ball has a volume of $\var{volume}\text{cm}^3$ and a mass of $\var{mass}$ g. Whilst playing, {person['pronouns']['they']} drops {person['pronouns']['their']} ball into a pond.

Give any introductory information the student needs.

			Name	Type	Generated Value

volume	integer	67
mass	integer	65
density	rational	65/67
person	dict	Dictionary with 3 entries
mark_matrix	list	[ 1, 0 ]

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(40..70 except mass)

JME function reference

Description

Volume of box

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`

← Depends on:

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
1. Step Information only
Part b) Choose one from a list

Gap-fill

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

What is the density of the ball?

Unnamed gap g/cm$^3$. Round your answer to $2$ decimal places.

Advice

a)

We are told that the ball has a volume of $\var{volume}\text{cm}^3$ and a mass of $\var{mass}$g, and we are asked to calculate the density of the box in g/cm$^3$.

The formula for density is

\[\begin{align} \text{Density} &= \frac{\text{Mass}}{\text{Volume}} \\[4pt]
&= \frac{\var{mass}}{\var{volume}} \\[4pt]
&= \var{density} \\
&= \var{precround(density,2)}\text{g/cm}^3\text{.} \\
\end{align}\]

b)

Since the density of the ball is {if(density>1,'greater','smaller')} than the density of water, {person['name']}'s ball will {if(density>1,'sink','float')}.

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Information only
Choose one from a list
Choose one from a list		Hasn't run yet

This question is used in the following exams:

Volume by Christian Lawson-Perfect in Transition to university.
Weight and Mass by Christian Lawson-Perfect in Transition to university.
Questions using the random person extension by Christian Lawson-Perfect in Christian's workspace.
Nick's copy of Weight and Mass by Nick Walker in Nick's workspace.
workshop by Ian Loasby in Workshop - editing.
Volume by Kevin Bohan in Kevin's workspace.
Module 3 by Niharika Singh in Niharika's workspace.
Week 1: Arithmetic and Measurement by Amy Barker in Maths and Stats.
Transition Formula by Chris Templet in Chris's workspace.
Entry Math Test for BET at Chisholm Institute by Mohammad Rahman in Mohammad's workspace.
claire's copy of Weight and Mass by claire lines in claire's workspace.
claire's copy of Volume by claire lines in claire's workspace.
All the good stuff by Chris Templet in Chris's workspace.
FoR Summative Maths Test by Angus Rosenburgh in Angus's workspace.
Math Practice Exam Mike Dawson by Michael Dawson in Michael's workspace.
Core Maths Test 2025 by Angus Rosenburgh in Angus's workspace.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Chris Graham commented 7 years, 7 months ago

Chris Graham 7 years, 7 months ago

Chris Graham commented 7 years, 7 months ago

Chris Graham 7 years, 7 months ago

Elliott Fletcher commented 7 years, 8 months ago

Chris Graham 7 years, 8 months ago

Chris Graham commented 7 years, 8 months ago

Elliott Fletcher 7 years, 8 months ago

Elliott Fletcher 7 years, 8 months ago

Elliott Fletcher 7 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

a)

b)

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Calculate density given mass and volume

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Chris Graham commented 7 years, 7 months ago

Chris Graham 7 years, 7 months ago

Chris Graham commented 7 years, 7 months ago

Chris Graham 7 years, 7 months ago

Elliott Fletcher commented 7 years, 8 months ago

Chris Graham 7 years, 8 months ago

Chris Graham commented 7 years, 8 months ago

Elliott Fletcher 7 years, 8 months ago

Elliott Fletcher 7 years, 8 months ago

Elliott Fletcher 7 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

a)

b)

Generated value: `integer`