SAT Math : SAT Mathematics

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #1 : How To Find Percentage

In a jar of 240 coins, 20 percent are nickels and 5 percent are dimes. How many coins are not nickels or dimes?

Possible Answers:

Correct answer:

Explanation:

75% of the coins are not nickels or dimes. This means that  coins are not nickels or dimes.

Example Question #8 : How To Find Percentage

What number is 125% of 120?

Possible Answers:

Correct answer:

Explanation:

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

So the equation to solve becomes

Example Question #2 : How To Find Percentage

What percent of 250 is 20?

Possible Answers:

Correct answer:

Explanation:

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

The equation to solve becomes  so

Example Question #1151 : Sat Mathematics

What number is 30% of 90?

Possible Answers:

Correct answer:

Explanation:

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

So the equation to solve becomes

Example Question #1152 : Sat Mathematics

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 increased by 25%

It is decreaed by 25%

It is unchanged

It is decreased by 50%

It is increased by 50%

Correct answer:

It is decreaed by 25%

Explanation:

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 #1151 : Sat Mathematics

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

Possible Answers:

250

225

175

150

200

Correct answer:

150

Explanation:

.80x=200

x=200/.80

x=250

.60 (x) = ?

.60 (250) = 150

Example Question #1153 : Sat Mathematics

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

Possible Answers:

None of the available answers

Correct answer:

Explanation:

The algebraic expression is:

Example Question #1152 : Sat Mathematics

What number is 125% of 60?

Possible Answers:

66

90

60

80

75

Correct answer:

75

Explanation:

Translate this into a mathematical equation:

x = 1.25 * 60

x = 75

Example Question #1151 : Sat Mathematics

If 10% of x is equal to 25% of y, and y=16, what is the value of x?

Possible Answers:

64

6.4

40

24

4

Correct answer:

40

Explanation:

Find 25% of y:

16 \cdot 0.25 = 4

10% of x is equal to 4. Therefore, 0.1x = 4.

Divide both sides by 0.1 to find that x = 40.

Example Question #31 : Percents

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:

Explanation:

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.

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