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ISEE Middle Level Math : Numbers and Operations

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Example Questions

Example Question #821 : Numbers And Operations

Convert $11\%$ $\displaystyle 11\%$ to a decimal.

Possible Answers:

$\displaystyle 11$

1.1 $\displaystyle 1.1$

$\displaystyle .011$

$\displaystyle .11$

Correct answer:

$\displaystyle .11$

Explanation:

To convert a percentage to a decimal, divide by 100:

$11\div 100=.11$ $\displaystyle 11\div 100=.11$

Answer: $\displaystyle .11$

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Example Question #822 : Numbers And Operations

Write $43\%$ $\displaystyle 43\%$ as a decimal.

Possible Answers:

$\displaystyle .043$

$\displaystyle .43$

4.3 $\displaystyle 4.3$

$\displaystyle 43$

Correct answer:

$\displaystyle .43$

Explanation:

To convert a percentage to a decimal, divide by 100:

$43\div 100=.43$ $\displaystyle 43\div 100=.43$

Answer: $\displaystyle .43$

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Example Question #823 : Numbers And Operations

Convert the fraction to a percentage.

$\frac{7}{8}$ $\displaystyle \frac{7}{8}$

Possible Answers:

$78\%$ $\displaystyle 78\%$

$87.5\%$ $\displaystyle 87.5\%$

$7.8\%$ $\displaystyle 7.8\%$

$56\%$ $\displaystyle 56\%$

Correct answer:

$87.5\%$ $\displaystyle 87.5\%$

Explanation:

To convert a fraction to a percentage, divide the numerator of the fraction by the denominator.

$\frac{7}{8}= 7\div8= .875$ $\displaystyle \frac{7}{8}= 7\div8= .875$

Move the decimal in the quotient two places to the right to create a percentage.

$87.5\%$ $\displaystyle 87.5\%$

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Example Question #824 : Numbers And Operations

What percentage does $\frac{6}{25}$ $\displaystyle \frac{6}{25}$ represent?

Possible Answers:

$\displaystyle 19$ $\%$ $\displaystyle \%$

$\displaystyle 24$ $\%$ $\displaystyle \%$

$\displaystyle 6$ $\%$ $\displaystyle \%$

$\displaystyle 25$ $\%$ $\displaystyle \%$

$\displaystyle 31$ $\%$ $\displaystyle \%$

Correct answer:

$\displaystyle 24$ $\%$ $\displaystyle \%$

Explanation:

To get a fraction into a percentage you must turn it into a decimal.

Make the fraction over 100 $\displaystyle 100$ so you must multiple it by $\displaystyle 4$

$\displaystyle 6*4=24, 25*4=100$.

This gives you the decimal 0.24 $\displaystyle 0.24$ which you multiply by 100 $\displaystyle 100$ to give you 24% $\displaystyle 24%$ $\%$ $\displaystyle \%$.

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Example Question #825 : Numbers And Operations

What is 0.036 as a percent?

Possible Answers:

$360\%$ $\displaystyle 360\%$

$3\%$ $\displaystyle 3\%$

$36\%$ $\displaystyle 36\%$

$3.6\%$ $\displaystyle 3.6\%$

Correct answer:

$3.6\%$ $\displaystyle 3.6\%$

Explanation:

Method 1:

Rewrite 0.036 as a fraction:

$\frac{36}{1000}$ $\displaystyle \frac{36}{1000}$

Because percents are based on 100, divide the numerator and denominator by 10.

3.6%

Method 2:

Multiply $0.036 \times 100$ $\displaystyle 0.036 \times 100$

To multiply by 100, move the decimal point two places to the right; then add the percent sign:

3.6% is the correct answer.

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Example Question #154 : How To Find Percentage

75 out of 500 is what percent?

Possible Answers:

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

$25\%$ $\displaystyle 25\%$

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

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

Correct answer:

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

Explanation:

$\displaystyle 75$ represents part of the whole which is 500 $\displaystyle 500$. The fraction would be

$\frac{75}{500}$ $\displaystyle \frac{75}{500}$

Then, set up a proportion:

$\frac{75}{500} = \frac{x}{100}$ $\displaystyle \frac{75}{500} = \frac{x}{100}$

$\displaystyle x$ represents the percent

Cross multiply:

$\displaystyle 500x = 7500$

Divide both sides by the coefficient of x, which is 500:

x = 15 $\displaystyle x = 15$

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Example Question #826 : Numbers And Operations

What is 0.467 as a percent?

Possible Answers:

$467\%$ $\displaystyle 467\%$

$46.7\%$ $\displaystyle 46.7\%$

$46\%$ $\displaystyle 46\%$

There is no solution.

Correct answer:

$46.7\%$ $\displaystyle 46.7\%$

Explanation:

Method 1:

Rewrite 0.467 as a fraction

$\frac{467}{1000}$ $\displaystyle \frac{467}{1000}$

Divide numerator and denominator by 10.

46.7 %

Method 2:

Multiply $\displaystyle 0.467 x 100$

Move the decimal in 0.467 to the right and add a % sign.

The correct answer is 46.7%

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Example Question #827 : Numbers And Operations

What is $40\%$ $\displaystyle 40\%$ of 210 $\displaystyle 210$?

Possible Answers:

$\displaystyle 84$

$\displaystyle 40$

170 $\displaystyle 170$

250 $\displaystyle 250$

Correct answer:

$\displaystyle 84$

Explanation:

To solve, multiply: $\displaystyle 210 * .40=84$

Answer: $\displaystyle 84$

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Example Question #828 : Numbers And Operations

What is $80\%$ $\displaystyle 80\%$ of 360 $\displaystyle 360$?

Possible Answers:

280 $\displaystyle 280$

440 $\displaystyle 440$

$\displaystyle 80$

288 $\displaystyle 288$

Correct answer:

288 $\displaystyle 288$

Explanation:

To solve, multiply $\displaystyle 360*.80=288$

Answer: 288 $\displaystyle 288$

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Example Question #829 : Numbers And Operations

What is the percentage equivalent of $\displaystyle .92$?

Possible Answers:

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

$29\%$ $\displaystyle 29\%$

$92\%$ $\displaystyle 92\%$

$9.2\%$ $\displaystyle 9.2\%$

Correct answer:

$92\%$ $\displaystyle 92\%$

Explanation:

To solve, multiply: $\displaystyle .92*100=92$

Answer: $92\%$ $\displaystyle 92\%$

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Numbers and Operations

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #821 : Numbers And Operations

Example Question #822 : Numbers And Operations

Example Question #823 : Numbers And Operations

Example Question #824 : Numbers And Operations

Example Question #825 : Numbers And Operations

Example Question #154 : How To Find Percentage

Example Question #826 : Numbers And Operations

Example Question #827 : Numbers And Operations

Example Question #828 : Numbers And Operations

Example Question #829 : Numbers And Operations

All ISEE Middle Level Math Resources

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