COLLEGE MATH PREP A – FINAL EXAM - COMPLETE
EXAM MATERIAL WITH CORRECT ANSWERS
The Sanchez family takes out a $200,000 loan for their fixed-rate, 30-year mortgage. The annual
interest rate for the loan is 4%.
What is their monthly payment? ✔Correct answer-$954.83
Farrah borrows $18,000 to purchase a new car. The annual interest rate for the 60-month loan is
4.3%.
If she makes all the monthly payments, what is the total amount of interest she will pay on the loan?
✔Correct answer-$2,036.39
Tamaya purchased an ordinary annuity that earns 3.5% interest. She will receive 20 payments of
$700, once a quarter over 5 years.
What is the present value of the annuity? ✔Correct answer-$12,792.30
Nita invested in a simple, ordinary annuity that earns 4.1% interest, compounded semiannually. She
deposits $600 semiannually for 10 years at 4.1% interest.
What is the value of the annuity after 10 years? ✔Correct answer-$14,651.23
An account that compounds interest monthly has an annual percentage yield of 6.2%.
What is the annual interest rate for the account? ✔Correct answer-6.03%
An account has an annual interest rate of 5.3%, compounded monthly.
What is the annual percentage yield? ✔Correct answer-5.43%
Parvati invests $5,500 in an account that earns an annual interest rate of 7.2%, compounded daily.
What is the value of the investment after 3 years? ✔Correct answer-$6,825.92
A gardener is designing a rectangular garden on a plot of land that is 10 feet by 15 feet. His plans
include a circular fountain that is 2 feet in diameter. He will also have a bench on a small rectangular
area that is 3 feet long and 2.5 feet wide. He will plant a variety of flowers in the remaining area of
the garden.
What is the approximate area of the garden reserved for planting flowers? ✔Correct answer-139
square feet
A designer is creating a window for a new home. The window is a semicircle with a radius of 9 inches
placed at the top edge of an 18-inch by 24-inch rectangle. She plans to put a wooden frame around
the outside of the glass.
What is the approximate length of the frame around the window? ✔Correct answer-94.3 inches
Toby made a heart-shaped cake for his mom's birthday. He baked a square cake and a round cake.
One side of the square cake is 9 inches long, and the diameter of the round cake is 9 inches. Both
cakes have a height of 3 inches. He cut the round cake in half and attached it to two sides of the
square cake to form the heart. He covered the combined cake in red frosting before adding
decorations.
What is the approximate area that Toby covered in red frosting? ✔Correct answer-283 square
inches
EXAM MATERIAL WITH CORRECT ANSWERS
The Sanchez family takes out a $200,000 loan for their fixed-rate, 30-year mortgage. The annual
interest rate for the loan is 4%.
What is their monthly payment? ✔Correct answer-$954.83
Farrah borrows $18,000 to purchase a new car. The annual interest rate for the 60-month loan is
4.3%.
If she makes all the monthly payments, what is the total amount of interest she will pay on the loan?
✔Correct answer-$2,036.39
Tamaya purchased an ordinary annuity that earns 3.5% interest. She will receive 20 payments of
$700, once a quarter over 5 years.
What is the present value of the annuity? ✔Correct answer-$12,792.30
Nita invested in a simple, ordinary annuity that earns 4.1% interest, compounded semiannually. She
deposits $600 semiannually for 10 years at 4.1% interest.
What is the value of the annuity after 10 years? ✔Correct answer-$14,651.23
An account that compounds interest monthly has an annual percentage yield of 6.2%.
What is the annual interest rate for the account? ✔Correct answer-6.03%
An account has an annual interest rate of 5.3%, compounded monthly.
What is the annual percentage yield? ✔Correct answer-5.43%
Parvati invests $5,500 in an account that earns an annual interest rate of 7.2%, compounded daily.
What is the value of the investment after 3 years? ✔Correct answer-$6,825.92
A gardener is designing a rectangular garden on a plot of land that is 10 feet by 15 feet. His plans
include a circular fountain that is 2 feet in diameter. He will also have a bench on a small rectangular
area that is 3 feet long and 2.5 feet wide. He will plant a variety of flowers in the remaining area of
the garden.
What is the approximate area of the garden reserved for planting flowers? ✔Correct answer-139
square feet
A designer is creating a window for a new home. The window is a semicircle with a radius of 9 inches
placed at the top edge of an 18-inch by 24-inch rectangle. She plans to put a wooden frame around
the outside of the glass.
What is the approximate length of the frame around the window? ✔Correct answer-94.3 inches
Toby made a heart-shaped cake for his mom's birthday. He baked a square cake and a round cake.
One side of the square cake is 9 inches long, and the diameter of the round cake is 9 inches. Both
cakes have a height of 3 inches. He cut the round cake in half and attached it to two sides of the
square cake to form the heart. He covered the combined cake in red frosting before adding
decorations.
What is the approximate area that Toby covered in red frosting? ✔Correct answer-283 square
inches
