SAT Math : Percentage

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #101 : Percentage

On average, professional poker player Ben wins 6 out of 10 games. If a win brings in $75, how many games should he play to cover his rent of $625?

Possible Answers:

19

30

23

5

14

Correct answer:

14

Explanation:

Put into an equation where x is the number of games, 0.6 * x * 75 = 625. X = 13.9, the answer is 14.

Example Question #102 : Percentage

What percent of  is ?

Possible Answers:

Correct answer:

Explanation:

Set up a ratio where \frac{8}{2b}=\frac{x}{100} and solve for  through cross multiplication.

Example Question #103 : 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 #104 : 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 #105 : 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 #106 : Percentage

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 #107 : 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 decreaed by 25%

It is decreased by 50%

It is increased by 25%

It is increased by 50%

It is unchanged

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 #108 : Percentage

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

Possible Answers:

200

150

175

250

225

Correct answer:

150

Explanation:

.80x=200

x=200/.80

x=250

.60 (x) = ?

.60 (250) = 150

Example Question #1154 : 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 #109 : Percentage

What number is 125% of 60?

Possible Answers:

75

90

80

66

60

Correct answer:

75

Explanation:

Translate this into a mathematical equation:

x = 1.25 * 60

x = 75

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