MATH NASIUM JOB ASSESSMENT EXAM QUESTIONS AND
CORRECT ANSWERS|ACCURATE ACTUAL EXAM WITH
FREQUENTLY TESTED QUESTIONS AND STUDY GUIDE|
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2024/2025.
In order to find the area of a circle one must solve in which of the following ways? - CORRECT
ANSWER Multiply the radius squared by pi
What is the cost of a parcel of land that is being sold at $150 per frontage foot with
measurements of 233 feet by 417 feet? - CORRECT ANSWER $34,950
Consider the question: How many cubic yards of dirt will it take to fill a hole? This question asks
that we solve using which one of the following measurement units? - CORRECT ANSWER The
volume of the hole
The total linear footage to enclose a lot measuring 75' × 125' is which one of the following
amounts? - CORRECT ANSWER 400'
Linear measurements are used to express which one of the following choices? - CORRECT
ANSWER The length of an object
A rectangular room is 12 feet wide, 12 feet long and the distance from its floor to the ceiling is
10 feet. What is the total square footage of wall space in the room? - CORRECT ANSWER 480
square feet
Area is defined as which one of the following? - CORRECT ANSWER The two dimensional
surface of an object
Volume is typically expressed in which of the following terms? - CORRECT ANSWER cubic
units
The area of a triangle can be determined by performing which of the following functions? -
CORRECT ANSWER Multiplying the base by the height and dividing by 2
If a loan of $30,000 accrues 5% compound interest, what is the loan balance after 3 years if we
consider that the loan recipient has not made any payments during that time? - CORRECT
ANSWER $34,728.75
During a leap year, how many days are there in a banker's year from January 1 to April 20th? -
CORRECT ANSWER 110
If an insurance policy costs $500 a year, what is the daily rate of the policy, given a statutory
year? - CORRECT ANSWER $1.30 per day
,Interest is the cost of the use of _______. - CORRECT ANSWER money
If a loan is amortized, the principal balance of the loan _____ with each payment. - CORRECT
ANSWER Decreases
If an account has a $100,000 balance and a simple interest rate of 10%, what will its balance
reach if left alone for 4 years? - CORRECT ANSWER $140,000
Suppose that a seller has prepaid an insurance policy through November at a yearly premium of
$876 and is closing on July 31. With calculations based on a calendar (non-leap) year, if the
buyer assumes this insurance policy and the closing agreement stipulates prorated terms through
the day of closing, what does he or she owe the seller? - CORRECT ANSWER ???
An unused insurance policy assumed by the buyer at closing is considered which one of the
following choices? - CORRECT ANSWER A prepaid item at closing
If a contract stipulates that prorating will be calculated to the day of closing, then who will pay
property taxes for the day? - CORRECT ANSWER Buyer
A new lot is valued at $1,500, but an investor succeeds in buying it for $1,000. Five years later,
he sells it at market value. How much has the investor lost if the property has been depreciating
at an average annual rate of 7.5% of the original value? - CORRECT ANSWER $62.50
A buyer takes out a loan for $50,000 at 5% simple annual interest. The buyer informs the lender
that over the first two years, he can only afford to pay off the interest and none of the principal
amount. Given this information, the lender charges the buyer a 2-point loan discount up front and
reduces the annual interest rate on the loan to 4%. How much more profit will the lender make in
the first two years than she would if she hadn't charged the discount? - CORRECT ANSWER
$0?
What is the monthly net operating income of a building whose value is $9 million, if the annual
rate of return is 15%? - CORRECT ANSWER $112,500
IRS documentation shows that a particular building has depreciated at a constant rate of 3%
every year. Suppose that an investor buys the property in September for $100,000 and from
September to the end of the first year, the property depreciates at a prorated 1%. Say that for the
next eight years, the property depreciates at a constant rate of 3%, so in April of the tenth year
(after taxes have been paid), the owner sells the property for $150,000. If during that last year the
prorated depreciation was 1%, how much taxable income on capital gains will the owner receive
from the property following the sale? - CORRECT ANSWER $76,000
If a lender charges a 2-point discount on a $50,000 loan, what is the amount of the discount? -
CORRECT ANSWER $1,000
,If a house sells for $50,400, and its original cost was $36,000. What is the percentage of cost
sold? - CORRECT ANSWER 140%
What is the value of a building that grosses $700,000 annually with $52,000 in annual expenses
and a 2% rate of return? - CORRECT ANSWER ???
A percentage lease on an office building stipulates a $3,000 monthly base rent plus 3.5% of gross
profit in excess of $250,000. If the company renting the building grosses $375,000 in its first
year, what is the total annual rent for that year? - CORRECT ANSWER $40,375
When a change in value of an appreciating property is expressed as a percentage of the original
cost, it is characterized by which of the following choices? - CORRECT ANSWER Always
greater than 1
A house is valued at $56,000 at the time of purchase. If after five years, an appraisal finds that
the house is worth $64,400, what was the average annual rate of appreciation? - CORRECT
ANSWER 3%
For how many days does a seller owe the buyer for accrued items in the month of April, if the
contract stipulates prorations through the closing date, April 19? - CORRECT ANSWER 19
days
Using the T-method, what is the formula to find the part? - CORRECT ANSWER Total x rate
If a lot has appreciated by A dollars in one year at a rate of R, what was its original value? -
CORRECT ANSWER A / R
The cost of an item times the percentage of cost sold is represented by which of the following
terms? - CORRECT ANSWER Sale price?
After two years, what is the balance on a $150,000 loan with 5% annual interest if monthly
payments are $1,000? - CORRECT ANSWER $140,775?
The distance around a rectangle (its perimeter) is given by which one of the following formulas?
- CORRECT ANSWER 2 x (length + width)
A lender charges a loan discount in order to achieve which of the following actions? -
CORRECT ANSWER Reimburse the recipient of the loan for accrued items
Volume is measured in________. - CORRECT ANSWER Cubic units
What is the formula for the volume of a cylinder? - CORRECT ANSWER p x Radius^2 x
Length
, A lease calls for a minimum monthly rent of $1,000 plus 12% of the yearly gross in excess of
$500,000. How much is one month's rent if a company grosses $750,000 annually? - CORRECT
ANSWER $3,500
What is the approximate value of a business venture that makes $2.8 million annually and
capitalizes on its worth at a rate of 22%? - CORRECT ANSWER $12.73 million
The management of an apartment wants to replace the vinyl in the kitchen of one of the
apartments. The kitchen floor is 15 feet by 20 feet. How many square feet of vinyl will the
management need to purchase? - CORRECT ANSWER 300
What is the area, in feet, of a triangle with a base of 12 inches and a height of 18 inches? -
CORRECT ANSWER 9 square feet
Profit is derived by which of the following functions? - CORRECT ANSWER Sale price - Cost
When amortizing a loan which of the following choices apply? - CORRECT ANSWER Interest
payments and principal payments are tax deductible.
In a statutory year, what is the daily tax rate on a house appraised at $18,000 if the annual rate is
6%? - CORRECT ANSWER $3 / day
A house on Pecan Street is valued at $100,000. The local annual tax rate is $1.50 per $100
appraised value. What will the amount of monthly taxes paid on the house be? - CORRECT
ANSWER $125
What is a building's annual NOI if its net worth is $820,000, and it capitalizes on its worth at a
rate of 9% annually? - CORRECT ANSWER $73,800
If a house that originally cost $78,000 sells for $102,000, what fraction of the original price is
equal to the profit? - CORRECT ANSWER 17/13
Straight-line depreciation is defined in which of the following ways? - CORRECT ANSWER Is
used for tax purposes to adjust an owner's taxable basis in a property
How much does the buyer owe the seller for a 2-year $8,760 insurance policy that runs out
August 12 if prorations are carried to the day of closing, April 12 of the same year? Assume a
calendar year with no leap-years involved. - CORRECT ANSWER $1,476
If a lot that sells for $114,000 makes the seller a 14% profit, what was the original price of the
lot? - CORRECT ANSWER $100,000
The percentage rent is equal to which of the following? - CORRECT ANSWER Portion sales
subject to the percentage x percentage stipulated in the lease
