ISEE Lower Level Quantitative : Whole and Part

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

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Example Questions

Example Question #11 : How To Find The Part From The Whole

Kevin has 80 marbles and wants to give his brother 40% of them. How many will he keep?

Possible Answers:

Correct answer:

Explanation:

40% of 80 can be calculated as

,

so Kevin will give his brother 32 marbles and keep

 marbles.

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

Brianna's favorite song is 2 and a half minutes. There is a drum solo that begins one third of the way into the song and lasts for 24 seconds. How many seconds into the song does the drum solo end?

Possible Answers:

Correct answer:

Explanation:

If a song is 2 and a half minutes long, it is 150 seconds long. If the drum solo starts one third of the way into the song, it will begin at the 50 second mark, since 50 is one third of 150. 

Since the drum solo lasts for 24 seconds, it will end at the 74 second mark. Therefore, 74 is the correct answer. 

Example Question #13 : How To Find The Part From The Whole

If yoga mats are on buy one get one free, and each mat is priced at $20, what is the average price of a mat, in dollars, if Beth buys four mats?

Possible Answers:

Correct answer:

Explanation:

If mats are $20 each but also buy one get one free, each mat will be $10 on average, as long as an even number of yoga mats are purchased. Given that four is an even number, the average price of a yoga mat is $10. 

Example Question #14 : How To Find The Part From The Whole

If you buy two books, the third is half off. All books cost $12. What is the average cost of a book if 3 books are purchased (in dollars)?

Possible Answers:

Correct answer:

Explanation:

The three books will cost $12, $12, and $6.

Calculate the average:

 

Example Question #11 : How To Find The Part From The Whole

In the number , in what place is the 6?

Possible Answers:

Thousandth's place

Thousand's place

Ten thousand's place

Ten thousandth's place

Correct answer:

Thousand's place

Explanation:

The number 6 is the thousand's place because  is written in words as seventy-six thousand, four hundred, thirty-five. 

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

Jonathan ate \dpi{100} \frac{1}{4} of a carton of ice cream.  This is equal to 1 pound of ice cream.  How many pounds of ice cream were in the carton of ice cream before Jonathan started eating?

Possible Answers:

\dpi{100} 2\ pounds

\dpi{100} 16\ pounds

\dpi{100} 1\ pound

\dpi{100} 4\ pounds

Correct answer:

\dpi{100} 4\ pounds

Explanation:

The fraction \dpi{100} \frac{1}{4} means that Jonathan has eaten 1 part out of a possible 4 parts of the carton of ice cream.  So we can multiply the amount that he ate (1 pound) by 4 to see that there are 4 pounds of ice cream in a carton.

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

37 is 20% of what number?

Possible Answers:

185

74

7.4

135

Correct answer:

185

Explanation:

To find the whole from the part, divide the “part” by the percent. In order to do this, first change the percent into a decimal (20% becomes 0.2).

Therefore, 37 is 20% of 185. 

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

What is 3.4 rounded to the nearest whole number?

Possible Answers:

Correct answer:

Explanation:

A whole number is one in which the one's place is the smallest unit. Therefore, in a whole number, there is no decimal. While any number that ends in a .5 decimal or greater rounds up, anything that is smaller than .5 rounds down. Therefore,  would round down to .

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

Brad is buying two appliances from a store: a microwave that costs $30 and a toaster that costs $25. He has two coupons: 10 percent off 1 item, and $5 off one item. 

What is the most money that he can save with these coupons (in dollars)?

Possible Answers:

Correct answer:

Explanation:

If Brad has 2 coupons, 10 percent off 1 item, and $5 off one item, he should use the 10 percent off coupon on the more expensive item to save more money. 

Since the $30 microwave is more expensive, he should use the 10 percent off coupon on this item. This will save him $3 because 10 percent of $30 is $3. 

He can then use the $5 off coupon on the $25 toaster, which saves him $5. 

Therefore, the total savings is $8. 

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

A classroom contains 30 students, and there are the same number of boys as girls. If  of the boys in the classroom are wearing sandals , how many boys are wearing sandals?

Possible Answers:

Correct answer:

Explanation:

If the classroom of 30 students has an equal number of boys and girls, then there are 15 girls and 15 boys. 

If  of the boys are wearing sandals, then  boys are wearing sandals.

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