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Subject: Geometry - Trigonometry (Multiple Choice Questions)
Date: Tue, 28 Dec 2004 19:10:24 -0500
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<TABLE bgColor=3D#ffff00>
  <TBODY>
  <TR>
    <TD><B>Multiple Choice Test</B><BR>Indicate the correct answer by =
clicking=20
      on the button next to the letters A, B, C or D. There is only one =
correct=20
      answer per question. After you have answered <B><U>all</U></B> =
multiple=20
      choice questions compare your choices with the correct answers.=20
  </TD></TR></TBODY></TABLE>
<HR width=3D"100%" color=3Dblue SIZE=3D3>

<CENTER>
<H3>Geometry - Trigonometry</H3></CENTER>
<HR width=3D"100%" color=3Dblue SIZE=3D3>

<FORM name=3DF>
<BLOCKQUOTE>The questions are based on the figure below:=20
  <P>
  <CENTER><IMG height=3D247 alt=3Dtriangle=20
  src=3D"http://www.sec.org.za/maths/mmctrig1.gif" width=3D541 =
border=3D2>=20
  </CENTER><BR><!frage1>1.) The area of the triangle is given by ...=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 cellPadding=3D2 width=3D"90%" =
border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>A</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ1></TD>
        <TD width=3D"90%">A =3D =C2=BD (a+b)c</TD></TR>
      <TR>
        <TD width=3D"10%"><B>B</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ1></TD>
        <TD width=3D"90%">A =3D =C2=BD a =C2=B7 b</TD></TR>
      <TR>
        <TD width=3D"10%"><B>C</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ1></TD>
        <TD width=3D"90%">A =3D =C2=BD a =C2=B7 c</TD></TR>
      <TR>
        <TD width=3D"10%"><B>D</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ1></TD>
        <TD width=3D"90%">A =3D a<SUP>2 </SUP>+ b<SUP>2</SUP> -=20
      c<SUP>2</SUP></TD></TR></TBODY></TABLE>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
  </UL><!frage2>2.) Which expression is wrong:=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 cellPadding=3D2 width=3D"90%" =
border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>A</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ2></TD>
        <TD width=3D"90%">c<SUP>2</SUP> =3D a<SUP>2</SUP> + =
b<SUP>2</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>B</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ2></TD>
        <TD width=3D"90%">c<SUP>2</SUP> - a<SUP>2</SUP> =3D =
b<SUP>2</SUP> </TD></TR>
      <TR>
        <TD width=3D"10%"><B>C</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ2></TD>
        <TD width=3D"90%">b<SUP>2</SUP> - c<SUP>2</SUP> =3D =
a<SUP>2</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>D</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ2></TD>
        <TD width=3D"90%">b<SUP>2</SUP> - a<SUP>2</SUP> + 2a<SUP>2</SUP> =
=3D=20
          c<SUP>2</SUP> </TD></TR></TBODY></TABLE>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
  </UL><!frage3>3.) Which expression regarding the values of the angles =
is=20
  right:=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 cellPadding=3D2 width=3D"90%" =
border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>A</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ3></TD>
        <TD width=3D"90%">=CE=B1 + =CE=B2 &lt; 90<SUP>o</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>B</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ3></TD>
        <TD width=3D"90%">=CE=B1 + =CE=B2 &gt; 90<SUP>o</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>C</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ3></TD>
        <TD width=3D"90%">180<SUP>o</SUP> + (=CE=B1 + =CE=B2) =3D =
360<SUP>o</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>D</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ3></TD>
        <TD width=3D"90%">180<SUP>o</SUP> - =CE=B1 =3D 90<SUP>o</SUP> +=20
    =CE=B2</TD></TR></TBODY></TABLE>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
  </UL><!frage4>4.) If the length of side c is 13 cm, the length of side =
a is 5=20
  cm, what will be the length of side b?=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 cellPadding=3D2 width=3D"90%" =
border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>A</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ4></TD>
        <TD width=3D"90%">7 cm</TD></TR>
      <TR>
        <TD width=3D"10%"><B>B</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ4></TD>
        <TD width=3D"90%">8 cm</TD></TR>
      <TR>
        <TD width=3D"10%"><B>C</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ4></TD>
        <TD width=3D"90%">12 cm</TD></TR>
      <TR>
        <TD width=3D"10%"><B>D</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ4></TD>
        <TD width=3D"90%">18 cm</TD></TR></TBODY></TABLE>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
  </UL><!frage5>5.) Which expression is correct?=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 cellPadding=3D2 width=3D"90%" =
border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>A</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ5></TD>
        <TD width=3D"90%">sin =CE=B2 =3D c/b</TD></TR>
      <TR>
        <TD width=3D"10%"><B>B</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ5></TD>
        <TD width=3D"90%">sin =CE=B2 =3D b/a</TD></TR>
      <TR>
        <TD width=3D"10%"><B>C</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ5></TD>
        <TD width=3D"90%">sin =CE=B1 =3D b/c</TD></TR>
      <TR>
        <TD width=3D"10%"><B>D</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ5></TD>
        <TD width=3D"90%">sin =CE=B1 =3D a/c</TD></TR></TBODY></TABLE>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
  </UL><!frage6>6.) Spot the mistake:=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 cellPadding=3D2 width=3D"90%" =
border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>A</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ6></TD>
        <TD width=3D"90%">sin =CE=B2 =3D b/a</TD></TR>
      <TR>
        <TD width=3D"10%"><B>B</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ6></TD>
        <TD width=3D"90%">sin =CE=B1 =3D a/c</TD></TR>
      <TR>
        <TD width=3D"10%"><B>C</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ6></TD>
        <TD width=3D"90%">cos =CE=B2 =3D a/c</TD></TR>
      <TR>
        <TD width=3D"10%"><B>D</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ6></TD>
        <TD width=3D"90%">cos =CE=B1 =3D b/c</TD></TR></TBODY></TABLE>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
  </UL><!frage7>7.) Identify the wrong expression:=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 cellPadding=3D2 width=3D"90%" =
border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>A</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ7></TD>
        <TD width=3D"90%">a =3D c =C2=B7 sin =CE=B1 </TD></TR>
      <TR>
        <TD width=3D"10%"><B>B</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ7></TD>
        <TD width=3D"90%">a =3D c =C2=B7 cos =CE=B1 </TD></TR>
      <TR>
        <TD width=3D"10%"><B>C</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ7></TD>
        <TD width=3D"90%">b =3D c =C2=B7 sin =CE=B2 </TD></TR>
      <TR>
        <TD width=3D"10%"><B>D</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ7></TD>
        <TD width=3D"90%">a =3D c =C2=B7 cos =CE=B2 =
</TD></TR></TBODY></TABLE>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
  </UL><!frage8>8.) The tan of angle =CE=B2 is given by ...=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 cellPadding=3D2 width=3D"90%" =
border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>A</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ8></TD>
        <TD width=3D"90%">tan =CE=B2 =3D b/a</TD></TR>
      <TR>
        <TD width=3D"10%"><B>B</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ8></TD>
        <TD width=3D"90%">tan =CE=B2 =3D a/b</TD></TR>
      <TR>
        <TD width=3D"10%"><B>C</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ8></TD>
        <TD width=3D"90%">tan =CE=B2 =3D b/c</TD></TR>
      <TR>
        <TD width=3D"10%"><B>D</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ8></TD>
        <TD width=3D"90%">tan =CE=B2 =3D a/c</TD></TR></TBODY></TABLE>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
  </UL><!frage9>9.) The sin of 30<SUP>o</SUP> is ...=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 cellPadding=3D2 width=3D"90%" =
border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>A</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ9></TD>
        <TD width=3D"90%">1</TD></TR>
      <TR>
        <TD width=3D"10%"><B>B</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ9></TD>
        <TD width=3D"90%">2/3 </TD></TR>
      <TR>
        <TD width=3D"10%"><B>C</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ9></TD>
        <TD width=3D"90%">1/2</TD></TR>
      <TR>
        <TD width=3D"10%"><B>D</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ9></TD>
        <TD width=3D"90%">1/4 </TD></TR></TBODY></TABLE>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
  </UL><!frage10>10.) The cos of 60<SUP>o</SUP> is the same as ...=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 cellPadding=3D2 width=3D"90%" =
border=3D0>
      <TBODY>
      <TR>
        <TD width=3D"10%"><B>A</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ10></TD>
        <TD width=3D"90%">tan 45<SUP>o</SUP> </TD></TR>
      <TR>
        <TD width=3D"10%"><B>B</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ10></TD>
        <TD width=3D"90%">tan 60<SUP>o</SUP> </TD></TR>
      <TR>
        <TD width=3D"10%"><B>C</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D1=20
        name=3DQ10></TD>
        <TD width=3D"90%">sin 30<SUP>o</SUP></TD></TR>
      <TR>
        <TD width=3D"10%"><B>D</B>&nbsp;&nbsp;<INPUT type=3Dradio =
value=3D0=20
        name=3DQ10></TD>
        <TD width=3D"90%">sin 60<SUP>o</SUP></TD></TR></TBODY></TABLE>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
  </UL></BLOCKQUOTE>
<HR width=3D"95%" color=3Dblue SIZE=3D3>

<CENTER>
<TABLE cellSpacing=3D0 cols=3D1 width=3D"60%" border=3D1>
  <CAPTION><B>Results</B></CAPTION>
  <TBODY>
  <TR>
    <TD>
      <CENTER><INPUT type=3Dhidden value=3Dfalse =
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your results" name=3DButton></CENTER></TD></TR>
  <TR>
    <TD>
      <CENTER><TEXTAREA name=3Dergebnis rows=3D3 readOnly =
cols=3D50></TEXTAREA></CENTER></TD></TR>
  <TR>
    <TD>
      <CENTER><INPUT onclick=3Dshowcorrect() type=3Dbutton value=3D"What =
are the correct answers?" =
name=3DButton></CENTER></TD></TR></TBODY></TABLE></CENTER></FORM>
<TABLE cellPadding=3D5 width=3D"60%" align=3Dright border=3D1>
  <TBODY>
  <TR>
    <TD><FONT color=3D#9933ff>Hint: You can do the test offline as well. =
Just=20
      click "file" from the menu, then "save" to a destination of your =
choice.=20
      But remember to open the file either with Windows Explorer or =
Internet=20
      Explorer. Netscape might not be able to reload pictures offline.=20
  </FONT></TD></TR></TBODY></TABLE><BR><BR><A=20
href=3D"http://www.sec.org.za/trmat.html"><SMALL><B>to "Teaching =
Resources=20
Mathematics"</B></SMALL></A> <BR><BR><BR><BR>
<DIV align=3Dright><A =
href=3D"http://www.sec.org.za/trmc.html"><SMALL><B>click here=20
for multiple choice questions on Science and =
HIV/AIDS</B></SMALL></A></DIV></B>
<HR width=3D"95%" color=3Dblue SIZE=3D3>

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      =
href=3D"http://www.sec.org.za/aidscont.html"><B><SMALL>HIV/AIDS</SMALL></=
B></A></TD></TR></TBODY></TABLE>
<CENTER><SMALL><B><FONT color=3Dblue>=C2=A9 Science Education Centre=20
2002</FONT></B></SMALL></CENTER></BODY></HTML>

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