Ratio and Proportion
By David Pleacher


Directions:
First solve the 22 problems below and find the matching letters for numbers 1 to 17.
Then unscramble the letters in each of the six words to form a math word.
Place the math words in the appropriate boxes.
The letter in the box with a 2 in it will be the second letter in the cartoon below.



FIRST WORD
I.   Determine the ratio of 40 minutes to 3 hours.

II.   Determine the ratio of 10x to 8x.

III.   If AB = 10 and AC = 2 and
AC + CB = AB, Determine the ratio of CB : BA.

IV.   Determine x if 4 / x = 2 / 7.

SECOND WORD
V.   Determine the value of x if .

VI.   The angles of a triangle are in the ratio of 1:5:6.   Determine the measure of the smallest angle.

VII.   Simplify the following ratio:   .

VIII.   Determine the ratio of x to y
if 2x = 9y.

IX - X.   If ,
      IX.   Determine the value of x.

      X.   Determine the value of y.

THIRD WORD
XI - XIV.    

XI.   If AC = 3, CM = 5, AU = 12, Determine UY.

XII.   If AC = 2, AM = 5, UY = 9, Determine AU.

XIII.   If CM = 7, AU = 15, UY = 35, Determine AC.

XIV.   If MC = 10, AC = 8, AU = 4, Determine AY.

XV.   Determine the ratio of x to y
if

XVI.   The perimeters of two similar polygons are 24 inches and 60 inches.   If one side of the smaller polygon is 4 inches, what is the length of the corresponding side of the larger polygon?

XVII.  


FOURTH WORD:     L I T R A V E C

FIFTH WORD:     G E L A N

SIXTH WORD:     Q U R S E A





XVIII.  



XIX.  


XX.   Express   x2 = a b     as a proportion.


XXI.  



XXII.  





    Answers:    
A.   6
C.  
C.   4
E.  
E.   12
E.   14
E.   15
G.   20
H.   10
I.  
L.  
N.   3
N.  
N.  
O.   2
R.  
T.   5
X.   9


Send any comments or questions to: David Pleacher