Numerical reasoning - ratio recipe - Numbas at mathcentre.ac.uk

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steve kilgallon

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steve kilgallon 8 years, 7 months ago

Created this as a copy of Numerical reasoning - ratio recipe.

Name	Status	Author	Last Modified
Numerical reasoning - ratio recipe	Ready to use	Christian Lawson-Perfect	01/06/2016 11:12
Numerical reasoning - ratio recipe	draft	steve kilgallon	18/07/2016 11:46
James's copy of Numerical reasoning - ratio recipe	Ready to use	James McEvoy	10/09/2019 13:40
Kinga's copy of James's copy of Numerical reasoning - ratio recipe	draft	Kinga Zaczek	22/09/2017 16:54

There are 3 other versions that do you not have access to.

Question statement

A certain preparation consists of liquids $x$ , $y$ and $z$ in the proportion {ratios[0]}:{ratios[1]}:{ratios[2]}.

Give any introductory information the student needs.

			Name	Type	Generated Value

rv	vector	vector(6,4,3)
rawratios	list	[ 6, 4, 3 ]
lots	integer	3
uv	vector	vector(48,12,24)
rgcd	number	1
amount	number	39
u	list	[ 48, 12, 24 ]
ratios	list	[ 6, 4, 3 ]
units	string	litres
ratiototal	number	13

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
vector(ratios)

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: `vector`

vector(6,4,3)

← Depends on:

This variable doesn't seem to be used anywhere.

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.

How many {units} of the preparation can be made from a stock of materials consisting of {u[0]} {units} of $x$, {u[1]} {units} of $y$, and {u[2]} {units} of $z$?

Unnamed gap {units}

Advice

The proportions {ratios[0]}:{ratios[1]}:{ratios[2]} have to be preserved.

So if we use $\simplify{{ratios[0]}*U}$ {units} of $x$ then we must use $\simplify{{ratios[1]}*U}$ {units} of $y$ and $\simplify{{ratios[2]}*U}$ {units} of $z$, to get $\var{ratiototal}U$ {units} of the preparation.

We would like $U$ to be as big as possible.

As we have $\var{u[0]}$ {units} of $x$, {describesol(0)}

As we have $\var{u[1]}$ {units} of $y$, {describesol(1)}

As we have $\var{u[2]}$ {units} of $z$, {describesol(2)}

So the maximum value of $U$ is $\var{lots}$ and we can make $\var{lots} \times \var{ratiototal} = \var{amount}$ {units} of the preparation.

Give a worked solution to the whole question.

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

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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

This question is used in the following exam:

Week 1 Qs by steve kilgallon in BY138.

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Numerical reasoning - ratio recipe

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

steve kilgallon 8 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: `vector`

Parts

Gap-fill

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Error

Numerical reasoning - ratio recipe

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

steve kilgallon 8 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: vector

Parts

Gap-fill

Generated value: `vector`