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