Converting units: baby weight

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Christian Lawson-Perfect	said	Ready to use	7 years, 8 months ago
Chris Graham	said	Needs to be tested	7 years, 8 months ago

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Christian Lawson-Perfect 7 years, 8 months ago

Gave some feedback: Ready to use

○

Christian Lawson-Perfect 7 years, 8 months ago

Saved a checkpoint:

Couldn't resist changing the weight to be picked from a normal distribution. I got massive weights a bit too often.

Otherwise, this is really good!

Restore this checkpoint

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Chris Graham 7 years, 8 months ago

Gave some feedback: Needs to be tested

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Chris Graham commented 7 years, 8 months ago

Originally split from a larger question on converting units, but basically a new question.

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Chris Graham 7 years, 8 months ago

Created this.

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Question statement

In many countries, it is still traditional to announce the weight of a baby in imperial units (pounds and ounces), rather than metric (grams or kilograms).

A conversion table is as follows:

$1$ pound (lb)	$16$ ounces (oz)
$1$ stone (st)	$14$ pounds (lb)
$1$ kg	$\var{oz_to_kg}$ ounces (oz)

Give any introductory information the student needs.

			Name	Type	Generated Value

oz_to_kg	number	35.3
weight_kg	number	2.7
weight_lb	integer	5
weight_oz	number	95
weight_oz_rem	number	15

			Name	Type	Generated Value

news_reports	list	List of 4 items
news	dict	Dictionary with 4 entries
newskg	number	7.0254957507

			Name	Type	Generated Value

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
35.3

JME function reference

Description

conversion rate, ounces in a kg

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

Can an exam override the value of this variable?

Generated value: `number`

35.3

→ Used by:

newskg
weight_oz

Statement
Advice

Parts

Part a) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
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Part b) 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.

A hospital measures the weight of a baby to be $\var{weight_kg}$kg, but they are asked for the weight in pounds and ounces by the baby's parents, who would like to make an announcement to their friends and family in the traditional way.

Using the conversion table above, what is the weight in pounds (lb) and ounces (oz)?

Gap 0.lb and Gap 1.oz Round your answer to the nearest ounce.

Advice

a)

We are told that the baby's weight is $\var{weight_kg}$kg and we would like to convert this to pounds and ounces.

To do this, we first obtain the weight in ounces using the conversion given:

\begin{align}
\var{weight_kg} \text{ kg} &= \var{weight_kg} \times \var{oz_to_kg} \text{ oz} \\
&= \var{weight_oz}\text{ oz.}
\end{align}

We can now divide by $16$ to find out how many whole pounds we have:

\[ \var{weight_oz}\text{ oz} \div 16 = \var{dpformat(weight_oz/16,1)}\text{ lb.} \]

There are $\var{weight_lb}$ whole pounds, which leaves a remainder

\[ \var{weight_oz} - (16 \times \var{weight_lb}) = \var{weight_oz_rem} \text{ oz.} \]

The baby weighs $\var{weight_lb}$ pounds and $\var{weight_oz_rem}$ ounces.

b)

We are given the weight of the baby in stones, pounds and ounces. To convert to kg we first convert the baby's weight to ounces.

$1$ stone is $14$ pounds, so the baby weighs $\var{news['lb']+14}$ pounds and $\var{news['oz']}$ ounces, or

\[ (\var{news['lb']+14} \times 16) + \var{news['oz']} = \var{(news['lb']+14)*16+news['oz']} \text{ oz.}\]

We can now convert to kg:

\begin{align}
\var{(news['lb']+14)*16+news['oz']} \text{ oz} &= \var{(news['lb']+14)*16+news['oz']} \div \var{oz_to_kg} \\
&= \var{dpformat(newskg,1)}\text{ kg.}
\end{align}

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This question is used in the following exams:

Units of measurement by Christian Lawson-Perfect in Transition to university.
Weight and Mass by Christian Lawson-Perfect in Transition to university.
Units and Conversion by Katie Bullen in Katie's workspace.
Nick's copy of Weight and Mass by Nick Walker in Nick's workspace.
Nick's copy of Units of measurement by Nick Walker in Nick's workspace.
Units of measurement [L1 Randomised] by Matthew James Sykes in CHY1205.
Lecture 1 by Matthew James Sykes in CHY1205.
David's copy of Units of measurement [L1 Randomised] by David Rickard in PHYS1010.
Offer Holder Day by Chris Graham in Chris's workspace.
claire's copy of Weight and Mass by claire lines in claire's workspace.
claire's copy of Units of measurement by claire lines in claire's workspace.
FoR Summative Maths Test by Angus Rosenburgh in Angus's workspace.
Numbas Assignment: Unit Conversion by Ahmed Al-Razaz in IA128-Ahmed.
Core Maths Test 2025 by Angus Rosenburgh in Angus's workspace.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Christian Lawson-Perfect 7 years, 8 months ago

Christian Lawson-Perfect 7 years, 8 months ago

Chris Graham 7 years, 8 months ago

Chris Graham commented 7 years, 8 months ago

Chris Graham 7 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `number`

Parts

Gap-fill

a)

b)

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Converting units: baby weight

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 7 years, 8 months ago

Christian Lawson-Perfect 7 years, 8 months ago

Chris Graham 7 years, 8 months ago

Chris Graham commented 7 years, 8 months ago

Chris Graham 7 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: number

Parts

Gap-fill

a)

b)

Generated value: `number`