David's copy of Using compound units - room hire price per hour and per minute

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David Rickard 6 years, 5 months ago

Created this as a copy of Using compound units - room hire price per hour and per minute.

Name	Status	Author	Last Modified
Using compound units: price/weight of sweets	Ready to use	Elliott Fletcher	19/12/2022 12:21
Using compound units - speed	Ready to use	Christian Lawson-Perfect	20/11/2019 14:44
Using compound units - room hire price per hour and per minute	Ready to use	Christian Lawson-Perfect	20/12/2022 12:55
David's copy of Using compound units - room hire price per hour and per minute	draft	David Rickard	07/11/2018 21:05
David's copy of Using compound units: price/weight of sweets	draft	David Rickard	07/11/2018 21:05
David's copy of Using compound units - speed	draft	David Rickard	07/11/2018 21:05
David's copy of Using compound units - speed	draft	David Rickard	07/11/2018 21:06

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Question statement

{name} has been tasked with booking a room for a {hours}-hour meeting.

Give any introductory information the student needs.

			Name	Type	Generated Value

person	dict	Dictionary with 3 entries
pronouns	dict	Dictionary with 5 entries
name	string	Jayden
verbs	string	s

			Name	Type	Generated Value

hours	integer	4
block_price_per_hour	number	13.5
single_price_per_hour	number	12.5
competitor_price_per_minute	rational	4/25
marking_matrix	list	[ 0, 0, 1 ]
prices	list	[ 13.5, 12.5, 48/5 ]
best_method	string	paying per minute at RoomCo

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random_person()

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: `dict`

[ "gender": safe("male"), "name": safe("Jayden"), "pronouns": [ "they": safe("he"), "their": safe("his"), "theirs": safe("his"), "them": safe("him"), "themself": safe("himself") ] ]

→ Used by:

name
pronouns
verbs

This variable doesn't seem to be used anywhere.

Parts

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

Gap-fill

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

{name} is quoted a price of {pounds(block_price_per_hour*hours)} by ACME Office Services to book a room in advance for {hours} hours, or {pounds(single_price_per_hour)} per hour in a pay-as-you-go scheme.

To compare the two prices, {pronouns['they']} decide{verbs} to convert the advance booking price to a price per hour.

Price per hour: £ Unnamed gap

Advice

a)

The price per hour is the total price divide by the number of hours.

$\text{Price per hour} = \frac{\var{block_price_per_hour*hours}}{\var{hours}} = £\var{dpformat(block_price_per_hour,2)} \text{ per hour}$

b)

The price is given in pence per minute. To convert to pounds per minute, divide by $100$ :

$\var{100*competitor_price_per_minute} \text{ p/minute} = £\var{dpformat(competitor_price_per_minute,2)} \text{ per minute}$

Then to convert to pounds per hour, multiply by $60$ :

$£\var{dpformat(competitor_price_per_minute,2)} \text{ per minute} = £\var{dpformat(competitor_price_per_minute*60,2)} \text{ per hour}$

c)

{name} should choose the method with the lowest cost per hour, which is {best_method}.

Give a worked solution to the whole question.

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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
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet

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David's copy of Using compound units - room hire price per hour and per minute

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

David Rickard 6 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: `dict`

Parts

Gap-fill

a)

b)

c)

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Error

David's copy of Using compound units - room hire price per hour and per minute

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

David Rickard 6 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: dict

Parts

Gap-fill

a)

b)

c)

Generated value: `dict`