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ISEE Lower Level Math : Whole and Part

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

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All ISEE Lower Level Math Resources

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Example Questions

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

Find the part from the whole. Round to the nearest hundredths place.

A t-shirt normally sells for $21 at the store, but today it is on sale for 25% off. What is the sale price for the t-shirt?

Possible Answers:

$\$5.25$

$\$26.25$

$\$15.75$

$\$15.25$

$\$16.75$

Correct answer:

$\$15.75$

Explanation:

To find the part from the whole, multiply the "whole" by the percent (change the percent into a decimal first).

$$21 \times 0.25 = 5.25$

The discount is $5.25. Subtract the discount from the original price.

21 - 5.25 = 15.75 .

So the t-shirt is on sale for $15.75.

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

Sara and David bake a pie and cut it into 12 equal slices. Sara eats $\frac{1}{4}$ of the pie, and David has 1 slice before giving $\frac{1}{3}$ of the original pie to his neighbor. How many slices of pie are left?

Possible Answers:

Correct answer:

Explanation:

Sara's portion is

$\frac{12}{4} = 3$

While David's portion is

$\frac{12}{3} + 1 = 5$

12 - (5+3) = 4

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

What is 43% of 82? Round to the nearest tenths place.

Possible Answers:

0.05

35.3

1.9

35.2

3.5

Correct answer:

35.3

Explanation:

To find the part from the whole, you will need to multiply the whole (82) by the percent. In order to do this, first change the percent to a decimal.

Then, multiply the decimal and the whole.

$82 \times 0.43=35.26$

43% of 82 is 35.3, rounded to the nearest tenth.

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Example Question #6 : How To Find The Part From The Whole

Fred wrote down a number greater than 11 and less than 15. When Susan tried to guess it, he told her it was greater than 13 and less than 17. What is the number?

Possible Answers:

Correct answer:

Explanation:

Because Fred's number is between 11 and 15, it could be 12, 13, or 14. Later he tells Susan it is greater than 13 and less than 17, so it can only be 14, since he did not change his number.

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

What is 65% of 3.75? Round to the nearest hundredths place.

Possible Answers:

2.4375

2.438

2.4

2.44

Correct answer:

2.44

Explanation:

To find the part from the whole, you will need to multiply the whole (3.75) by the percent. In order to do this, first change the percent to a decimal (65% becomes 0.65).

$3.75\times 0.65=2.4375$

Then you must round to the nearest tenths place: 2.4375 becomes 2.44.

Therefore, 65% of 3.75 is 2.44.

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Example Question #5 : How To Find The Part From The Whole

What is four-sevenths of 490?

Possible Answers:

280

270

240

300

220

Correct answer:

280

Explanation:

Multiply the fraction $\frac{4}{7}$ by 490, putting 490 over 1 and cross-cancelling:

$\frac{4}{7} \times 490 = \frac{4}{7} \times \frac{490}{1} = \frac{4}{1} \times \frac{70}{1} = \frac{280}{1}= 280$

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Example Question #6 : How To Find The Part From The Whole

What is nine-thirteenths of 234?

Possible Answers:

312

162

126

144

338

Correct answer:

162

Explanation:

Multiply $\frac{9}{13}$ by 234, rewriting and cross-cancelling:

$\frac{9}{13} \times 234 = \frac{9}{13} \times \frac{234 }{1} = \frac{9}{1} \times \frac{18 }{1}= \frac{162 }{1}= 162$

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Example Question #5 : How To Find The Part From The Whole

A pizza contains 12 slices. Becky eats 1/4 of the pizza. How many slices does she eat?

Possible Answers:

Correct answer:

Explanation:

Becky eats 1/4 of a pizza, which contains 12 pieces. You can find the total number that she eats by multiplying the fraction by the whole:

$=\frac{1}{4}\times12=\frac{1}{4}\times\frac{12}{1}=\frac{12}{4}=3$

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Example Question #31 : Whole And Part

A total of $\small 35$ students were asked which one of three sports-- basketball, volleyball, or tennis-- they preferred. If $\small 17$ students said basketball and $\small 11$ said volleyball, how many students said they prefer tennis?

Possible Answers:

$\small 12$

$\small 7$

$\small 9$

$\small 5$

Correct answer:

$\small 7$

Explanation:

To find out how many students prefer tennis, one should add the number of the students who prefer basketball to the number of students who prefer volleyball.

$\small 17 + 11 = 28$

The students who are not included among these $\small 28$ are the ones who prefer tennis. To find this number one should subtract $\small 28$ from the original group of $\small 35$ students.

$\small 35 - 28 = 7$

Therefore, $\small 7$ students prefer tennis.

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Example Question #12 : How To Find The Part From The Whole

James ate 1/3 of a 12-slice pizza. How many slices of pizza did he eat?

Possible Answers:

Correct answer:

Explanation:

$\frac{1}{3} \times 12=\frac{1}{3} \times \frac{12}{1}=\frac{1\times12}{3\times1}=\frac{12}{3}=4$

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All ISEE Lower Level Math Resources

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ISEE Lower Level Math : Whole and Part

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

All ISEE Lower Level Math Resources

Example Questions

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

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

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

Example Question #6 : How To Find The Part From The Whole

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

Example Question #5 : How To Find The Part From The Whole

Example Question #6 : How To Find The Part From The Whole

Example Question #5 : How To Find The Part From The Whole

Example Question #31 : Whole And Part

Example Question #12 : How To Find The Part From The Whole

All ISEE Lower Level Math Resources

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