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SAT Math : Arithmetic

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Example Questions

Example Question #4 : How To Find Percentage

What percent of 250 is 20?

Possible Answers:

$8\%$ $\displaystyle 8\%$

$5\%$ $\displaystyle 5\%$

$12\%$ $\displaystyle 12\%$

$15\%$ $\displaystyle 15\%$

$10\%$ $\displaystyle 10\%$

Correct answer:

$8\%$ $\displaystyle 8\%$

Explanation:

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

The equation to solve becomes $0.01\cdot x\cdot 250 = 20$ $\displaystyle 0.01\cdot x\cdot 250 = 20$ so $x = 8\%$ $\displaystyle x = 8\%$

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Example Question #11 : Other Percentage

What number is 30% of 90?

Possible Answers:

$\displaystyle 15$

$\displaystyle 27$

$\displaystyle 30$

$\displaystyle 36$

$\displaystyle 45$

Correct answer:

$\displaystyle 27$

Explanation:

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

So the equation to solve becomes $x = 0.30\cdot 90 = 27$ $\displaystyle x = 0.30\cdot 90 = 27$

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Example Question #12 : Other 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 decreased by 50%

It is decreaed by 25%

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!

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Example Question #13 : Other Percentage

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

Possible Answers:

250

150

225

175

200

Correct answer:

150

Explanation:

$.80x=200$ $\displaystyle .80x=200$

$x=200/.80$ $\displaystyle x=200/.80$

$x=250$ $\displaystyle x=250$

$.60 (x) = ?$ $\displaystyle .60 (x) = ?$

$.60 (250) = 150$ $\displaystyle .60 (250) = 150$

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Example Question #14 : Other Percentage

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

Possible Answers:

3417 $\displaystyle 3417$

485 $\displaystyle 485$

200 $\displaystyle 200$

None of the available answers

1700 $\displaystyle 1700$

Correct answer:

200 $\displaystyle 200$

Explanation:

The algebraic expression is:

$\displaystyle 0.17x=34$

$x=\frac{34}{0.17}\times\frac{100}{100}=\frac{3400}{17}=200$ $\displaystyle x=\frac{34}{0.17}\times\frac{100}{100}=\frac{3400}{17}=200$

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Example Question #271 : Arithmetic

What number is 125% of 60?

Possible Answers:

Correct answer:

Explanation:

Translate this into a mathematical equation:

x = 1.25 * 60

x = 75

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Example Question #11 : Other Percentage

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

Possible Answers:

$24$ $\displaystyle 24$

$4$ $\displaystyle 4$

$6.4$ $\displaystyle 6.4$

$40$ $\displaystyle 40$

$64$ $\displaystyle 64$

Correct answer:

$40$ $\displaystyle 40$

Explanation:

Find 25% of $y$ $\displaystyle y$:

$16 \cdot 0.25 = 4$ $\displaystyle 16 \cdot 0.25 = 4$

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

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

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Example Question #12 : Fractions And Percentage

There are $\displaystyle 48$ 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. $\displaystyle 14$ students vote for rock climbing, $\displaystyle 12$ students vote for bowling, and $\displaystyle 16$ students vote for outdoor laser tag.

What percent of students did not vote?

Possible Answers:

$13.5\%$ $\displaystyle 13.5\%$

$12.5\%$ $\displaystyle 12.5\%$

$0\%$ $\displaystyle 0\%$

$14.5\%$ $\displaystyle 14.5\%$

$11.5\%$ $\displaystyle 11.5\%$

Correct answer:

$12.5\%$ $\displaystyle 12.5\%$

Explanation:

The number of students who did not vote is:

$\displaystyle 48-14-12-16=6$

The percent of students who did not vote is therefore:

$\frac{6}{48}=\frac{1}{8}=0.125$ $\displaystyle \frac{6}{48}=\frac{1}{8}=0.125$

$12.5\%$ $\displaystyle 12.5\%$ of the students did not vote.

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Example Question #17 : How To Find Percentage

Joaquin is running for Prom King. If he receives $30\%$ $\displaystyle 30\%$ of the votes from a senior class of 200 $\displaystyle 200$ students, and $60\%$ $\displaystyle 60\%$ of the votes from a junior class of 250 $\displaystyle 250$ students, how many votes did he receive in total?

Possible Answers:

195 $\displaystyle 195$

270 $\displaystyle 270$

202 $\displaystyle 202$

135 $\displaystyle 135$

210 $\displaystyle 210$

Correct answer:

210 $\displaystyle 210$

Explanation:

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

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Example Question #18 : How To Find Percentage

13 is what percent of 25?

Possible Answers:

$50\%$ $\displaystyle 50\%$

$45\%$ $\displaystyle 45\%$

$60\%$ $\displaystyle 60\%$

$20\%$ $\displaystyle 20\%$

$52\%$ $\displaystyle 52\%$

Correct answer:

$52\%$ $\displaystyle 52\%$

Explanation:

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

$\frac{13}{25}=\frac{x}{100}$ $\displaystyle \frac{13}{25}=\frac{x}{100}$

where x is the percentage we are looking for.

To solve, simply cross multiply and solve for x.

$\displaystyle 1300=25x$

x=52 $\displaystyle x=52$

Therefore, our answer is 52%.

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SAT Math : Arithmetic

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #4 : How To Find Percentage

Example Question #11 : Other Percentage

Example Question #12 : Other Percentage

Example Question #13 : Other Percentage

Example Question #14 : Other Percentage

Example Question #271 : Arithmetic

Example Question #11 : Other Percentage

Example Question #12 : Fractions And Percentage

Example Question #17 : How To Find Percentage

Example Question #18 : How To Find Percentage

All SAT Math Resources

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