### All SAT Math Resources

## Example Questions

### Example Question #11 : How To Find Percentage

What number is 30% of 90?

**Possible Answers:**

**Correct answer:**

Verbal cues include "is" and "of." "Is" means equals and "of" means multiplication.

So the equation to solve becomes

### Example Question #11 : How To Find Percentage

If the length of a rectangle is increased by 50% and with width of the same rectangle is decreased by 50%, what is the effect on the area of the rectangle?

**Possible Answers:**

It is unchanged

It is increased by 50%

It is increased by 25%

It is decreased by 50%

It is decreaed by 25%

**Correct answer:**

It is decreaed by 25%

This is a good question to use random numbers. Lets use 100 and 10 as the lengths. That means the area = 100 x 10 = 1000

If we increase the length of the side measuring 100 by 50% = 150

If we decrease the length of the other side 50% = 5

Area = 150 x 5 = 750

We see that the area decreased by 250 or 25% decrease in area!

### Example Question #13 : How To Find Percentage

If 80 percent of *x* is 200, what is 60 percent *x*?

**Possible Answers:**

175

200

150

250

225

**Correct answer:**

150

### Example Question #14 : How To Find Percentage

Seventeen percent of some number is 34. What is this number?

**Possible Answers:**

None of the available answers

**Correct answer:**

The algebraic expression is:

### Example Question #12 : How To Find Percentage

What number is 125% of 60?

**Possible Answers:**

75

80

66

90

60

**Correct answer:**

75

Translate this into a mathematical equation:

x = 1.25 * 60

x = 75

### Example Question #13 : How To Find Percentage

If 10% of is equal to 25% of , and , what is the value of ?

**Possible Answers:**

**Correct answer:**

Find 25% of :

10% of is equal to 4. Therefore, .

Divide both sides by 0.1 to find that .

### Example Question #11 : Fractions

There are registered students in the math club. Students are deciding what activity they could do for their end of semester event. They have three choices: rock climbing, bowling, or outdoor laser tag. students vote for rock climbing, students vote for bowling, and students vote for outdoor laser tag.

What percent of students did not vote?

**Possible Answers:**

**Correct answer:**

The number of students who did not vote is:

The percent of students who did not vote is therefore:

of the students did not vote.

### Example Question #1161 : Sat Mathematics

Joaquin is running for Prom King. If he receives of the votes from a senior class of students, and of the votes from a junior class of students, how many votes did he receive in total?

**Possible Answers:**

**Correct answer:**

First, we find how many seniors voted for him:

0.30 * 200 = 60 seniors

Then we find how many juniors using the same method

0.60 * 250 = 150 Juniors

Finally, we add the two together

60 + 150 = 210 students total

### Example Question #11 : Other Percentage

13 is what percent of 25?

**Possible Answers:**

**Correct answer:**

To solve this problem, we should set up the following proportion

where x is the percentage we are looking for.

To solve, simply cross multiply and solve for x.

Therefore, our answer is 52%.

### Example Question #13 : Other Percentage

What percent of is ?

**Possible Answers:**

**Correct answer:**

Let's set up a proportion to solve this problem.

We're looking for a percentage, .

Our answer is