National Math Module Exam (Latest-2024) / National
Math Module Exam Portage Learning\A+
Terry bought a home that home that had an attached one-car garage and a screened
porch that spanned the length of the home. If the garage measured 16' in depth which
was half the depth of the house and the screened porch was 64' in width, what is the
GLA of the house?
1,024 SF
2,048 SF
3,072 SF
4,096 SF - ANSWER-2,048 SF
16 x 64 = 1,024
1,024 x 2 = 2,048
A seller leaves a buyer approximately one half of a tank of heating oil at the closing. If
the tank measures 4' x 2' x 3', how many cubic feet did the buyer receive?
8 cubic feet
24 cubic feet
12 cubic feet
24 square feet - ANSWER-12 cubic feet
4 x 2 x 3 = 24
24/2 = 12
If a square-shaped lot measures 200' on one side, what is the square footage of the lot?
,4,000
40,000
400
40 - ANSWER-40,000
200 x 200 = 40,000
A developer wants to develop a 20-acre subdivision. He figures that the streets and
common area will take up about 25% of this overall area. If the minimum lot size is to be
10,000 SF, how many lots can the developer have on this property?
43
65
86
66 - ANSWER-65
20 x .25 = 5
20 - 5=15
15 x 43560 = 653,400
653,400/10,000 = 65.34
John bought an odd-shaped lot that was 100 feet deep, but the front footage was 160
feet and the length of the back side of the lot was 80 feet. What is the square footage of
his lot?
16,000 SF
8,000 SF
24,000
12,000 SF - ANSWER-12,000 SF
,160 + 80 = 240
240/2 = 120
120 x 100 = 12,000
If an investor wants to combine a 3/4 acre parcel with a 1.6 acre parcel, how big will the
parcel be, expressed as a decimal?
2.35 acres
2.5 acres
2.6 acres
2.85 acres - ANSWER-2.35
3/4 = .75
.75 + 1.6 = 2.35
A property is being appraised by the cost approach. The appraiser estimates that the
land is worth $17,000 and the replacement cost of the improvements is $235,000. Total
depreciation from all causes is $23,000. What is the indicated value of the property?
$229,000
$275,000
$252,000
$212,000 - ANSWER-$229,000
17,000 + 235,000 - 23,000 = 229,000
A property has a net income of $770,000 and sells for $9,800,000. What is its cap rate?
, 0.079
0.127
0.092
0.113 - ANSWER-0.079
770,000/9,800,000 = 0.079
The owner of a $200,000 property decided to buy a new $15,000 roof (which added no
value to the property). The economic life of the roof is 12 years. Assuming the straight-
line method of depreciation, what is the depreciated value of the property (attributable
to the roof) after 2 years?
$202,500
$200,000
$197,500
$187,500 - ANSWER-$197,500
15,000/12 = 1,250
1,250 x 2 = 2,500
200,000 - 2,500 = 197,500
What is the GIM of a strip mall with annual income of $547,500 and a value of
$6,345,000?
8.6
139.1
103.2
11.6 - ANSWER-11.6
Math Module Exam Portage Learning\A+
Terry bought a home that home that had an attached one-car garage and a screened
porch that spanned the length of the home. If the garage measured 16' in depth which
was half the depth of the house and the screened porch was 64' in width, what is the
GLA of the house?
1,024 SF
2,048 SF
3,072 SF
4,096 SF - ANSWER-2,048 SF
16 x 64 = 1,024
1,024 x 2 = 2,048
A seller leaves a buyer approximately one half of a tank of heating oil at the closing. If
the tank measures 4' x 2' x 3', how many cubic feet did the buyer receive?
8 cubic feet
24 cubic feet
12 cubic feet
24 square feet - ANSWER-12 cubic feet
4 x 2 x 3 = 24
24/2 = 12
If a square-shaped lot measures 200' on one side, what is the square footage of the lot?
,4,000
40,000
400
40 - ANSWER-40,000
200 x 200 = 40,000
A developer wants to develop a 20-acre subdivision. He figures that the streets and
common area will take up about 25% of this overall area. If the minimum lot size is to be
10,000 SF, how many lots can the developer have on this property?
43
65
86
66 - ANSWER-65
20 x .25 = 5
20 - 5=15
15 x 43560 = 653,400
653,400/10,000 = 65.34
John bought an odd-shaped lot that was 100 feet deep, but the front footage was 160
feet and the length of the back side of the lot was 80 feet. What is the square footage of
his lot?
16,000 SF
8,000 SF
24,000
12,000 SF - ANSWER-12,000 SF
,160 + 80 = 240
240/2 = 120
120 x 100 = 12,000
If an investor wants to combine a 3/4 acre parcel with a 1.6 acre parcel, how big will the
parcel be, expressed as a decimal?
2.35 acres
2.5 acres
2.6 acres
2.85 acres - ANSWER-2.35
3/4 = .75
.75 + 1.6 = 2.35
A property is being appraised by the cost approach. The appraiser estimates that the
land is worth $17,000 and the replacement cost of the improvements is $235,000. Total
depreciation from all causes is $23,000. What is the indicated value of the property?
$229,000
$275,000
$252,000
$212,000 - ANSWER-$229,000
17,000 + 235,000 - 23,000 = 229,000
A property has a net income of $770,000 and sells for $9,800,000. What is its cap rate?
, 0.079
0.127
0.092
0.113 - ANSWER-0.079
770,000/9,800,000 = 0.079
The owner of a $200,000 property decided to buy a new $15,000 roof (which added no
value to the property). The economic life of the roof is 12 years. Assuming the straight-
line method of depreciation, what is the depreciated value of the property (attributable
to the roof) after 2 years?
$202,500
$200,000
$197,500
$187,500 - ANSWER-$197,500
15,000/12 = 1,250
1,250 x 2 = 2,500
200,000 - 2,500 = 197,500
What is the GIM of a strip mall with annual income of $547,500 and a value of
$6,345,000?
8.6
139.1
103.2
11.6 - ANSWER-11.6
