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

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Christian Lawson-Perfect

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Christian Lawson-Perfect

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Ready to use

9 years, 11 months ago

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Christian Lawson-Perfect 9 years, 11 months ago

Gave some feedback: Ready to use

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Christian Lawson-Perfect 12 years, 4 months ago

Created this.

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

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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(3,6,7)
rawratios	list	[ 3, 6, 7 ]
lots	integer	5
uv	vector	vector(18,30,56)
rgcd	number	1
amount	number	80
u	list	[ 18, 30, 56 ]
ratios	list	[ 3, 6, 7 ]
units	string	millilitres
ratiototal	number	16

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(3,6,7)

← Depends on:

This variable doesn't seem to be used anywhere.

Parts

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.

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.

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Numerical reasoning - ratio recipe

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Christian Lawson-Perfect 9 years, 11 months ago

Christian Lawson-Perfect 12 years, 4 months ago

Error in variable testing condition

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Warning

Generated value: `vector`

Parts

Gap-fill

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Numerical reasoning - ratio recipe

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 9 years, 11 months ago

Christian Lawson-Perfect 12 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: vector

Parts

Gap-fill

Generated value: `vector`