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ISEE Lower Level Quantitative : How to find the part from the whole

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Part From The Whole

There are 24 slices of bread in a loaf of bread. If Karl eats $\dpi{100} \frac{1}{3}$ of the loaf of bread, how many slices of bread has he eaten?

Possible Answers:

$\dpi{100} 10$

$\dpi{100} 8$

$\dpi{100} 12$

$\dpi{100} 24$

Correct answer:

$\dpi{100} 8$

Explanation:

Karl has eaten 1 part out of a possible 3 parts of the loaf of bread. To find out how big each part is, we divide 24 by the number of parts (3).

$\dpi{100} 24\div 3=8$

So each part would be 8 slices of bread. Karl ate 1 part, so he has eaten 8 slices of bread.

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Example Question #2 : How To Find The Part From The Whole

What is 62% of 23? Round to the nearest tenths place.

Possible Answers:

14.2

13.4

14.26

14.3

Correct answer:

14.3

Explanation:

To find the part from the whole, you will need to multiply the whole (23) by the percent. In order to do this, first change the percent to a decimal (62% becomes 0.62).

$23 \times 0.62=14.26$

The question askes you to round to the nearest tenths place: 14.26 becomes 14.3.

Therefore, 62% of 23 is 14.3.

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Example Question #3 : How To Find The Part From The Whole

If the probability of Ms. Jones calling on a male student during class is $\tiny \frac{2}{3}$ , and there are $\small 18$ students in the class, how many students are female?

Possible Answers:

Correct answer:

Explanation:

There are $\small 18$ students in Ms. Jones' class. Since the probability of her calling on a male student is $\tiny \frac{2}{3}$ , we must first find $\tiny \frac{2}{3}$ of $\small 18$ .

$\frac{2}{3} \cdot \frac{18}{1}= \frac{36}{3}$

Now we must reduce $\tiny \frac{36}{3}$ by dividing both the top and bottom by .

$\frac{(36/3)}{(3/3)}= \frac{12}{1}$

$\small \frac{12}{1}$ is the same as $\small 12$ , so there are $\small 12$ male students in Ms. Jones' class. In order to find the number of female students in Ms. Jones' class, we must subtract $\small 12$ from the total number of students in the class, which is $\small 18$ .

$\small 18-12=6$

There are $\small 6$ female students in Ms. Jones' class.

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Example Question #3 : Whole And Part

Find $10\%$ % of $50\%$ of 220 .

Possible Answers:

110

Correct answer:

Explanation:

First, we need to find $50\%$ of 220 . Multiply $.5\times220$ to get 110 .

Then, we need to find $10\%$ of 110 . Multiply $.1\times110$ to get .

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Example Question #1 : How To Find The Part From The Whole

Which of the following numbers is NOT a prime factor of ?

Possible Answers:

Correct answer:

Explanation:

All of the answer choices are factors of seventy, but only one is not prime.

A prime number is a number greater than one that has only one and itself as divisors.

Thirty-five is not a prime number, because in addition to being divisible by one and itself, it is also divisible by five and seven. Therefore, the answer is thirty-five.

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Example Question #3 : How To Find The Part From The Whole

Twenty students voted on their favorite sports. Eight students voted for tennis, four voted for basketball, and two voted for swimming. What fraction of the students voted for other sports?

Possible Answers:

$\frac{3}{20}$

$\frac{10}{12}$

$\frac{6}{14}$

$\frac{3}{10}$

Correct answer:

$\frac{3}{10}$

Explanation:

To solve this problem, begin by finding the total number of students that voted for tennis, basketball, or swimming.

8+4+2=14

We are told there are twenty students in the class, and now we know that fourteen of those twenty voted for the three sports mentioned. The remaining students voted for other sports.

20-14=6

Six out of the twenty students, or $\frac{6}{20}$ of the class, voted for other sports.

When we reduce $\frac{6}{20}$ to simplest form (divide the numerator and denominator by two), we get the fraction $\frac{3}{10}$ .

Therefore, $\frac{3}{10}$ of the students voted for other sports.

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Example Question #4 : Whole And Part

What is $\frac{1}{8} \%$ of $\frac{1}{25 }$ ?

Possible Answers:

$\frac{1}{2,000}$

$\frac{1}{50,000}$

$\frac{3}{100,000}$

$\frac{1}{20,000}$

$\frac{1}{5,000}$

Correct answer:

$\frac{1}{20,000}$

Explanation:

$\frac{1}{8} \%$ of $\frac{1}{25 }$ can be rewritten as

$\frac{\frac{1}{8}}{100} \times \frac{1}{25}$

$=\frac{1}{8} \times \frac{1}{100}\times \frac{1}{25}$

$=\frac{1}{8 \times 100 \times25} = \frac{1}{20,000}$

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Example Question #5 : Whole And Part

What is $\frac{1}{10} \%$ of $\frac{1}{10}$ ?

Possible Answers:

$\frac{1}{100}$

$\frac{1}{10,000}$

$\frac{1}{1,000}$

$\frac{1}{10 }$

Correct answer:

$\frac{1}{10,000}$

Explanation:

$\frac{1}{10} \%$ of $\frac{1}{10}$ can be rewritten as

$\frac{\frac{1}{10}}{100} \times \frac{1}{10}$

$= \frac{1}{10} \times \frac{1}{100} \times \frac{1}{10} = \frac{1}{10 \times 100 \times 10} = \frac{1}{10,000}$

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Example Question #6 : Whole And Part

What is $1 \frac{1}{3} \%$ of $\frac{1}{333}$ ?

Possible Answers:

$\frac{4}{99,999}$

$\frac{4}{99,900}$

$\frac{1}{25,000}$

$\frac{1}{2,500}$

$\frac{1}{4,444}$

Correct answer:

$\frac{4}{99,900}$

Explanation:

$1 \frac{1}{3} \%$ of $\frac{1}{333}$ can be rewritten as

$\frac{1 \frac{1}{3}}{100} \times \frac{1}{333} = \frac{4}{3} \times \frac{1}{100} \times \frac{1}{333}= \frac{4 \times 1 \times 1}{3 \times 100 \times 333} = \frac{4}{99,900}$

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Example Question #4 : How To Find The Part From The Whole

If Barbara's eyeshadow costs 15 dollars after being discounted 25%, what was the original price?

Possible Answers:

Correct answer:

Explanation:

25% of 20 is equal to $20\cdot.25=5$ . Therefore, if the eyeshadow cost $20, it would be discounted by $5 (the equivalent of 25% off).

Given that 20-5=15 , the correct answer is .

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All ISEE Lower Level Quantitative Resources

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ISEE Lower Level Quantitative : How to find the part from the whole

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #1 : How To Find The Part From The Whole

Example Question #2 : How To Find The Part From The Whole

Example Question #3 : How To Find The Part From The Whole

Example Question #3 : Whole And Part

Example Question #1 : How To Find The Part From The Whole

Example Question #3 : How To Find The Part From The Whole

Example Question #4 : Whole And Part

Example Question #5 : Whole And Part

Example Question #6 : Whole And Part

Example Question #4 : How To Find The Part From The Whole

All ISEE Lower Level Quantitative Resources

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