Below are actual MTAP Questions that has been released. I have created a detailed solution for each question. In this post, we answer 1-10. You can also read the solutions of problems 2-20. The file can be downloaded here.
1.) Simplify:
Solution
Answer:
2.) By how much is 3 – 1/3 greater than 2 and 1/2?
Solution
Subtracting the two results, we have
.
Answer:
3.) Write 9/20000 in scientific notation.
Solution
can be written as
.
Since and
,
Answer:
4.) What is the product of three consecutive multiples of 5 if the middle number is n?
Solution
If is a multiple of 5 and the middle number of the three numbers, then the other numbers are
and
.
So, the product is .
Answer: .
5.) If water pours into a tank at a rate of 100 liters per minute, at what rate is the tank being filled in kiloliters per hour?
Solution
100 liters/minute 60 minutes per hour = 6000 liters per hour
6000 liters per hour = 6 kiloliters per hour.
Answer: 6 kiloliters per hour
6.) Subtract the sum of and
from
.
Solution
.
Answer:
7.) Simplify .
Solution
Simplifying we have,
.
The expression further simplifies to
.
Answer: 22.5
8.) The sum of the interior angles of a polygon is 1620 degrees. How many sides has the polygon?
Solution
The sum of the interior angles of a polygon with angles is
.
Answer: 11
9.) Simplify: .
Solution
.
10.) The sum of the two angles of a triangle is three times the third angle. What is the sum of the first two angles?
Therefore,
.
Answer: 135