Mathematics Review Test 16 Questions
Question 1 of 16       Commission
Sold $ 62,000
7 % Com
25 %  List agent
30 % Sell agent
What  list  agent  get ?
$62,000 X  .07 = $ 4,340  Tot Com
4,340  X  .25 =     $ 1,085  Lister
 
 
QUESTION  2  of  16 CARPET
 
AREA PROBLEM  ft   to  yds
11+ 14 = 25/2 = 12.5 Ave width
10 X 12.5 = 125 Sq. Ft.
125 / 9  = 13.88 Sq. Yd.
14.95 & 3.50 = 18.45 S.Y.
18.45 X 13.88  = 256.27
 
Question 3 of 16       3  Investors
40,000 + 20,000  = 60,000 Is known
150,000 Total is known
60,000 / 150,000 = .40 = (40 %)
100 % Less 40 %  = 60 %
Or
40,000 + 20,000  = 60,000 Is known
150,000 Total is known
150,000 - 60,000 = 90,000
90,000 / 150,000 = .60  = 60 %
 
Question 4 of 16  Curious Father
 
Interest $ 582.84  
Rate  12 %   or     .12 
582.84 Mo int x 12 mo =  6,994.08 Year
6,994.08  / .12 = $ 58,284
Or
582.84 Mo. Int / .01 =  $ 58,284
Mo.  Int  /  mo factor for interest rate
 
Question 5 of 16 Appreciation of House
102,900  A yr ago
4 % Increase
2 Ways
102,900   X 4 % =  4,116
102,900 + 4,116 = $ 107,016
Or
102,900   X  104 %   =       107,016
 
Question 6 of 16    Tax Assessment
75,000   X  .80  =  60,000
60,000 = 600  $ 100 Bills
600 X $ 3.25  = $ 1,950  Yr
1,950  /  12   =
$162.50 Month
 
Question 7 of 16  Patio Volume
6  Inches =  .5 Feet
Vol = l  x  w  x  depth
24 + 32  = 56 / 2 = 28 Ave
28 X 16 x .5  = 224 Cu ft
Concrete in Problem 7
Sold $50 /cu. Yard
224 Cu. Feet /  27 = 8.296  X  $ 50 = $ 414.50
Watch for  whole yards
 
Question 8 of 16 Commission
You get 500 plus
 
3 % listings
2.5 % On sales
U get $ 7,350 salry & comm
7,350 - 500 = 6,850 Comm
6,850 / .025 = $ 274,000
 
 
Question  9  of 16  Fenced Back Yard
Enclose part of the back yard
$7.25 Per linear foot
Key words ì back of houseî
Draw a figure  60ft x 85ft   3 sides
No fence along back of house
Fence Continued

2 Sides @ 85 ft and 1 side @ 60 =
230 Feet along a line
230 Feet x $ 7.25 Per foot = $ 1,667.50   Answer
 
 
Question 10 Of 16   Capitalization
24 Apartments
$ 6,000  Monthly
9 % Return  ( rate )
?  Original purchase price
6,000 X 12 mo =         $ 72,000  year  income
72,000 /  .09 =  $ 800,000  Answer
 
 
Question 11  Of 16  Pro Rate
$ 1,860   Tax   not paid
Close April 15,
?   Credit to buyer 
  ( not  in Maryland )
Months   used  and not paid for  =
$ 1,860 / 12 Mo  =   $ 155
3.5 Mo used x $ 155 =  $ 542.51  Answer
 
Question12  of  16  Assumption - Pro Rate Interest
$ 65,400 balance after last pymt
Sept 1 last payment
11%    (  .11  )  Interest rate
Interest paid in advance  -- not normal !!
 
Close  Sept 14 
(seller pays day of close)
65,400  X .11  = 7,194 Yr
$ 7,194 / 360 days =   $ 19.983 Per day
 
Seller paid for 30 days interest
Only used 14 days  Sept 1 to 14
Due 16 days back
19.983   X 16 days  = $ 319.73    Answer
 
 
Question  13 Of 16 Insurance Pro Rate
Sell Oct 10, 1990
3 Year fire policy
expire may 31, 1991
Original premium  $ 740  - 3 yrs
?  Buyer pays to seller at closing
 
$ 740 /  36 Months = $ 20.555/Mo
Oct 10, 1990 to may 31, 1991= 7.66 Mo
20.555  X 7.66 Mo = $ 157.46
 
Question 14  Of 16 Tax Pro Rate
$ 1,630 Tax   paid
Close Nov 4
?  Credit to seller
$ 1,630 / 360 Days = $ 4.527 / Day
26 Days Nov &  30 days Dec. =  56 Days
56 Days  x 4.527 Per day tax = $ 253.56  Answer
 
Question 15  Of 16  Assumption Pro Rate Interest
$ 64,750     ( Paid thru Aug 1 )
12 %     ( .12 ) Rate  
paid in arrears
Close August 18
Seller owes but not paid for
18 days
 
$ 64,750 X .01 =  $  647.50
Interest for 1 Month
647.50 / 30 Days = $ 21.583 Per day
$ 21.583 Per day X 18 days = $ 388.50
 
 
Question 16 Of 16    Lots  in a Farm
200 Acre farm   
43,560 SF = 1 acre
1/8 Street  (12.5% )
 So  7/8  lots  (87.5%)
220 Lots in entire farm
?   Square feet a 1 lot
 
43,560 X 200 acres = 8,712,000 SF total
8,712,000 X .875 =  7,623,000 SF  lots
7,623,000 / 220 Lots =   34,650 SF  per lot
Extra question not part of the 16 questions
You Borrow $115,000 at 8% for 30 Years with a monthly principal and interest payment of $844
How Much Interest will you pay over 30 years ?
$ 844  X  360 months
$ 303,840  P & I
- 115,000     P
$188,840     Interest