PREPARING Become a MATIZEN What is Math Planet ? A Crash Course on      Algebra A Crash Course on      Geometry   EXPLORING Advanced Math Topic Customized Lessons SAT & ACT Reviews   INTERACTING Math Games Discussion Forum Math Live! Chat   COLLECTING Math Search MATIZEN Qualifi-      -cation Test Acknowledgements The Creatures Behind      the Math Planet        ©1998 ThinkQuest        team 16284    All rights reserved

Here are the answers for the test that you just took:

1. 1.  13.  Use the Pythagorean Theorem.  square root of (12^2 + 5^2) is 13.
2.  
3. 2.  2/ Pi.  The radius of the circle is half of the diagonal of the square.
4.  
5. 3.  5.  square root of {[(11-5)/2]^2 + 4^2} is 5.
6.  
7. 4.  25(sqr rt of 3)/4.
8.  
9. 5.  25.  Assume the length of the pipes are A.  The output of the larger pipe is 25PiA.  The output of the smaller pipes are 1PiA.   25PiA / 1PiA is 25.
10.  
11. 6.  30.  If a cone and a cylinder have the same radius and height, then the volume of the cone is 1/3 of the cylinder.  Now they have the same volume, so the cone's height must be 3 times the height of the cylinder to balance the proportion.
12.  
13. 7.  6.  Use proportion.
14.  
15. 8.  10/3.  If a cone and a cylinder have the same radius and height, the volume of the cone is 1/3 of the cylinder.
16.  
17. 9.  48 Pi.  Use the area of the whole circle to minus the area of the inner ring.  Don't forget to multiply by two.
18.  
19. 10. Cube Root of 60.  The triangle and the square have the same volume. 
20.  
21. 11.  9 + 3(Sqr Rt of 3). 
22.  
23. 12.  500Pi/3.

You can also jump to the chapter of your choice by using the drop-down list at below.