Skip to main content
Editing a multiple choice - math & science question by WIRIS
You have permission to :
Edit this question
General
Category
Default for System (16649)
Test-Lidia
Question name
Question text
<p align="justify"><font size="4" face="times new roman,times,serif"><i>Una tolva con forma de cono recto circular invertido, de radio de base <span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»R«/mi»«mo»=«/mo»«mi»#r1«/mi»«/math»</span></span></span></span></span> <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»m«/mi»«/math»</span> y altura <span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»H«/mi»«mo»=«/mo»«mi»#h1«/mi»«/math»</span></span></span></span></span> </i></font><font size="4"><i><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»m«/mi»«/math»</span></i></font><font size="4" face="times new roman,times,serif"><i>, está siendo llenada con un líquido a razón constante de <span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#q1«/mi»«mo»§nbsp;«/mo»«msup»«mi»m«/mi»«mn»3«/mn»«/msup»«/math»</span></span></span></span></span> por minuto.<br />A medida que se produce el llenado, el nivel del líquido en la tolva sube.<br /><br />Calcula la velocidad con que cambia la altura cuando la altura del líquido en la tolva es de <span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»h«/mi»«mo»=«/mo»«mi»#h2«/mi»«/math»</span></span></span></span></span> metros.<br /><br /><font color="#990000">Obs.: Volumen del cono : <span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»V«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»§#960;«/mi»«mo»·«/mo»«msup»«mi»r«/mi»«mn»2«/mn»«/msup»«mo»·«/mo»«mi»h«/mi»«/mrow»«mn»3«/mn»«/mfrac»«/math»</span></span></span></span></span>.</font></i></font><br /></p>
Default mark
General feedback
<p align="justify"><font size="4" face="times new roman,times,serif"><i>Solución:<br /><br />Consideremos que el líquido, en un instante <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»t«/mi»«/math»</span>, ocupa el volumen sombreado como lo muestra la figura.<br /></i></font></p> <div align="justify"><font size="4" face="times new roman,times,serif"><i><img height="130" width="204" src="data:image/png;base64,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" /><br /></i></font> <div align="justify"><font size="4" face="times new roman,times,serif"><i>Este volumen será el volumen ingresado al recipiente en el tiempo </i></font><font size="4" face="times new roman,times,serif"><i><font size="4" face="times new roman,times,serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»t«/mi»«/math»</span>,</i></font> consideremos que <span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»t«/mi»«mo»=«/mo»«mn»0«/mn»«/math»</span></span></span></span></span> en el instante en que comienza el llenado.<br />La relación entre <span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»r«/mi»«/math»</span></span></span></span></span> y <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»h«/mi»«/math»</span> está dada por la siguiente figura (valiéndonos del teorema de Thales o del cálculo trigonométrico).<br /></i></font> <div align="justify"><font size="4" face="times new roman,times,serif"><i><img height="161" width="192" src="data:image/png;base64,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" /><br /></i></font> <div align="justify"><font size="4" face="times new roman,times,serif"><i><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi mathvariant="normal"»tan«/mi»«mfenced»«mi»§#952;«/mi»«/mfenced»«mo»=«/mo»«mfrac»«mi»R«/mi»«mi»H«/mi»«/mfrac»«mo»=«/mo»«mfrac»«mi»r«/mi»«mi»h«/mi»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mo»§#8658;«/mo»«/mtd»«/mtr»«mtr»«mtd»«mi»r«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»R«/mi»«mo»·«/mo»«mi»h«/mi»«/mrow»«mi»H«/mi»«/mfrac»«/mtd»«/mtr»«/mtable»«/math»</span></span></span></span></span><br /><br /><br />Así, el volumen será:<br /></i></font> <div align="justify"><font size="4" face="times new roman,times,serif"><i><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»V«/mi»«mo»=«/mo»«mfrac»«mi»§#960;«/mi»«mn»3«/mn»«/mfrac»«mo»·«/mo»«msup»«mi»r«/mi»«mn»2«/mn»«/msup»«mo»·«/mo»«mi»h«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»V«/mi»«mo»=«/mo»«mfrac»«mi»§#960;«/mi»«mn»3«/mn»«/mfrac»«mo»·«/mo»«msup»«mfenced»«mfrac»«mrow»«mi»R«/mi»«mo»·«/mo»«mi»h«/mi»«/mrow»«mi»H«/mi»«/mfrac»«/mfenced»«mn»2«/mn»«/msup»«mo»·«/mo»«mi»h«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»V«/mi»«mo»=«/mo»«mfrac»«mi»§#960;«/mi»«mn»3«/mn»«/mfrac»«mo»·«/mo»«msup»«mfrac»«mrow»«msup»«mi»R«/mi»«mn»2«/mn»«/msup»«mo»·«/mo»«mi»h«/mi»«/mrow»«msup»«mi»H«/mi»«mn»2«/mn»«/msup»«/mfrac»«mn»2«/mn»«/msup»«mo»·«/mo»«mi»h«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»V«/mi»«mo»=«/mo»«mfrac»«mi»§#960;«/mi»«mn»3«/mn»«/mfrac»«mo»·«/mo»«msup»«mfrac»«mi»R«/mi»«msup»«mi»H«/mi»«mn»2«/mn»«/msup»«/mfrac»«mn»2«/mn»«/msup»«mo»·«/mo»«msup»«mi»h«/mi»«mn»3«/mn»«/msup»«/mtd»«/mtr»«/mtable»«/math»</span></span></span></span></span><br /></i></font> <div align="justify"><font size="4" face="times new roman,times,serif"><i>Siendo <span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»V«/mi»«/math»</span></span></span></span></span> ( volumen ) y <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»h«/mi»«/math»</span> ( altura ) funciones de <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»t«/mi»«/math»</span>.<br /><br /></i></font> <div align="justify"><font size="4" face="times new roman,times,serif"><i>Derivando </i></font><font size="4" face="times new roman,times,serif"><i><font size="4" face="times new roman,times,serif"><i>la expresión anterior</i></font> respecto de <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»t«/mi»«/math»</span> , obtenemos:<br /></i></font> <div align="justify"><font size="4" face="times new roman,times,serif"><i><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mfrac»«mrow»«mi»d«/mi»«mi»V«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mi»§#960;«/mi»«msup»«mi»R«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«mn»3«/mn»«msup»«mi»H«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«mo»·«/mo»«mn»3«/mn»«msup»«mi»h«/mi»«mn»2«/mn»«/msup»«mo»·«/mo»«mfrac»«mrow»«mi»d«/mi»«mi»h«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»=«/mo»«mfrac»«mrow»«mi»§#960;«/mi»«msup»«mi»R«/mi»«mn»2«/mn»«/msup»«/mrow»«msup»«mi»H«/mi»«mn»2«/mn»«/msup»«/mfrac»«mo»·«/mo»«msup»«mi»h«/mi»«mn»2«/mn»«/msup»«mo»·«/mo»«mfrac»«mrow»«mi»d«/mi»«mi»h«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«/mtd»«/mtr»«/mtable»«/math»</span></span></span></span></span> ( ecuación 1)<br /></i></font> <div align="justify"><font size="4" face="times new roman,times,serif"><i>Nos piden <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mrow»«mi»d«/mi»«mi»h«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«/math»</span> y tenemos como dato que <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mrow»«mi»d«/mi»«mi»V«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mi»#q1«/mi»«mo»§nbsp;«/mo»«msup»«mi»m«/mi»«mn»3«/mn»«/msup»«mo»/«/mo»«mi»m«/mi»«mi»i«/mi»«mi»n«/mi»«/math»</span>, entonces al despejar <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mrow»«mi»d«/mi»«mi»h«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«/math»</span> de la ecuación obtenemos:<br /></i></font><font size="4"><i><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mrow»«mi»d«/mi»«mi»h«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mi»d«/mi»«mi»V«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«mo»·«/mo»«mfrac»«msup»«mi»H«/mi»«mn»2«/mn»«/msup»«mrow»«mi»§#960;«/mi»«mo»·«/mo»«msup»«mi»R«/mi»«mn»2«/mn»«/msup»«mo»·«/mo»«msup»«mi»h«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«/math»</span></span></span></span></span></i></font><br /> <div align="justify"> <div align="justify"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"></span></span></span></span><br /> <div align="justify"><font size="4" face="times new roman,times,serif"><i></i></font> <div align="justify"><font size="4" face="times new roman,times,serif"><i>Reemplazando <span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»R«/mi»«mo»=«/mo»«mi»#r1«/mi»«mo»;«/mo»«mo»§nbsp;«/mo»«mi»H«/mi»«mo»=«/mo»«mi»#h1«/mi»«mo»;«/mo»«mo»§nbsp;«/mo»«mi»h«/mi»«mo»=«/mo»«mi»#h2«/mi»«/math»</span></span></span></span></span>, obtenemos.<br /></i></font> <div align="justify"><font size="4" face="times new roman,times,serif"><i><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mrow»«mi»d«/mi»«mi»h«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mi»#q1«/mi»«mo»·«/mo»«mfrac»«mfenced»«msup»«mi»#h1«/mi»«mn»2«/mn»«/msup»«/mfenced»«mrow»«mi»§#960;«/mi»«mo»·«/mo»«mfenced»«msup»«mi»#r1«/mi»«mn»2«/mn»«/msup»«/mfenced»«mo»·«/mo»«mfenced»«msup»«mi»#h2«/mi»«mn»2«/mn»«/msup»«/mfenced»«/mrow»«/mfrac»«mo»(«/mo»«mi»m«/mi»«mo»/«/mo»«mi»m«/mi»«mi»i«/mi»«mi»n«/mi»«mo»)«/mo»«/math»</span></span></span></span></span><br /><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mo»=«/mo»«mi»#sol«/mi»«/math»</span></span></span></span></span><br /></i></font><font size="4" face="times new roman,times,serif"><i> <div align="justify"><br />Por lo tanto, la velocidad de llenado cuando la altura del líquido en la tolva es de <span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»h«/mi»«mo»=«/mo»«mi»#h2«/mi»«/math»</span></span></span></span></span> metros es:<br /></div></i></font> <div align="justify"><font size="4" face="times new roman,times,serif"><i><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mrow»«mi»d«/mi»«mi»h«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mi»#sol«/mi»«/math»</span></span></span></span></span>.</i></font></div><font size="4" face="times new roman,times,serif"><i> <div align="justify"><br /></div></i></font> <div align="justify"><font size="4" face="times new roman,times,serif"><i><strong>Preguntas abiertas:<br /><br /></strong>¿ Crees que ese nivel sube con una velocidad constante?<br /><br />¿ Qué condiciones crees que debería cumplir el recipiente para que la velocidad sea constante?</i></font><br /></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div> <p></p>
One or multiple answers?
Multiple answers allowed
One answer only
Shuffle the choices?
Number the choices?
a., b., c., ...
A., B., C., ...
1., 2., 3., ...
i., ii., iii., ...
I., II., III., ...
No numbering
WIRIS variables
Algorithm
Choice 1
Answer
#sol
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
<font size="4" face="times new roman,times,serif"><i>Bien. Continúa de esa manera.</i></font>
Choice 2
Answer
#n1
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
<font size="4" face="times new roman,times,serif"><i>Recuerda que no estás calculando volumen.</i></font>
Choice 3
Answer
#n2
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
<font size="4" face="times new roman,times,serif"><i>Recuerda que al reemplazar <span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»R«/mi»«mo»,«/mo»«mo»§nbsp;«/mo»«mi»H«/mi»«mo»,«/mo»«mo»§nbsp;«/mo»«mi»h«/mi»«/math»</span></span></span></span></span>, estas tienen que estar elevadas al cuadrado.</i></font>
Choice 4
Answer
#n3
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
<font size="4" face="times new roman,times,serif"><i>No te confundas con <span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»H«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»h«/mi»«/math»</span></span></span></span></span>; la primera es la altura de la tolva y la segunda la altura relacionada con la velocidad de llenado.</i></font>
Choice 5
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Choice 6
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Choice 7
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Combined feedback
For any correct response
For any partially correct response
Options
Show the number of correct responses once the question has finished
For any incorrect response
Settings for multiple tries
Penalty for each incorrect try
100%
50%
33.33333%
25%
20%
10%
0%
Hint 1
Hint text
Options
Clear incorrect responses
Show the number of correct responses
Hint 2
Hint text
Options
Clear incorrect responses
Show the number of correct responses
Created / last saved
Created
by
Admin User
on
Friday, 23 August 2013, 3:10 PM
Last saved
by
Admin User
on
Friday, 23 August 2013, 3:10 PM
There are required fields in this form marked
.