Whole and Part - ISEE Lower Level Quantitative Reasoning
Card 0 of 510
At a party, 
of the cake was eaten. If each of the 12 attendees had one piece of cake, how many pieces were in the whole cake?
At a party,
12 pieces of cake is equivalent to 
of the whole. Proportions can be used to determine how many pieces were in the entire cake. Let 
equal the number of pieces in the entire cake.
Using this set up, both fractions are equal to 
. Cross multiply.
12 pieces of cake is equivalent to
Using this set up, both fractions are equal to
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is 
of 
. Solve for 
.
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Which of the following numbers is a multiple of ten?
Which of the following numbers is a multiple of ten?
A multiple is a number that can be divided by another number without a remainder. 30 can be divided by 10 without a remainder.
It is the only number from the list of answer choices for which this is true. Therefore, it is the correct answer.
A multiple is a number that can be divided by another number without a remainder. 30 can be divided by 10 without a remainder.
It is the only number from the list of answer choices for which this is true. Therefore, it is the correct answer.
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There are 24 slices of bread in a loaf of bread. If Karl eats 
of the loaf of bread, how many slices of bread has he eaten?
There are 24 slices of bread in a loaf of bread. If Karl eats
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).
So each part would be 8 slices of bread. Karl ate 1 part, so he has eaten 8 slices of bread.
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).
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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If the probability of Ms. Jones calling on a male student during class is 
, and there are 
students in the class, how many students are female?
If the probability of Ms. Jones calling on a male student during class is
There are 
students in Ms. Jones' class. Since the probability of her calling on a male student is 
, we must first find 
of 
.
Now we must reduce 
by dividing both the top and bottom by 
.
is the same as 
, so there are 
male students in Ms. Jones' class. In order to find the number of female students in Ms. Jones' class, we must subtract 
from the total number of students in the class, which is 
.
There are 
female students in Ms. Jones' class.
There are
Now we must reduce
There are
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What is 62% of 23? Round to the nearest tenths place.
What is 62% of 23? Round to the nearest tenths place.
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).
The question askes you to round to the nearest tenths place: 14.26 becomes 14.3.
Therefore, 62% of 23 is 14.3.
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).
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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Find 
% of 
of 
.
Find
First, we need to find 
of 
. Multiply 
to get 
.
Then, we need to find 
of 
. Multiply 
to get 
.
First, we need to find
Then, we need to find
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Which of the following numbers is NOT a prime factor of 
?
Which of the following numbers is NOT a prime factor of
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.
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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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?
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?
To solve this problem, begin by finding the total number of students that voted for tennis, basketball, or swimming.
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.
Six out of the twenty students, or 
of the class, voted for other sports.
When we reduce 
to simplest form (divide the numerator and denominator by two), we get the fraction 
.
Therefore, 
of the students voted for other sports.
To solve this problem, begin by finding the total number of students that voted for tennis, basketball, or swimming.
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.
Six out of the twenty students, or
When we reduce
Therefore,
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What is 
of 
?
What is
of can be rewritten as
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What is 
of 
?
What is
of 
can be rewritten as
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What is 
of 
?
What is
of 
can be rewritten as
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Kevin has 80 marbles and wants to give his brother 40% of them. How many will he keep?
Kevin has 80 marbles and wants to give his brother 40% of them. How many will he keep?
40% of 80 can be calculated as
,
so Kevin will give his brother 32 marbles and keep
marbles.
40% of 80 can be calculated as
so Kevin will give his brother 32 marbles and keep
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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?
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?
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.
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.
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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?
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?
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.
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.
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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)?
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)?
The three books will cost $12, $12, and $6.
Calculate the average:
The three books will cost $12, $12, and $6.
Calculate the average:
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If Barbara's eyeshadow costs 15 dollars after being discounted 25%, what was the original price?
If Barbara's eyeshadow costs 15 dollars after being discounted 25%, what was the original price?
25% of 20 is equal to 
. Therefore, if the eyeshadow cost $20, it would be discounted by $5 (the equivalent of 25% off).
Given that 
, the correct answer is 
.
25% of 20 is equal to
Given that
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In the number 
, in what place is the 6?
In the number
The number 6 is the thousand's place because 
is written in words as seventy-six thousand, four hundred, thirty-five.
The number 6 is the thousand's place because
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Jonathan ate 
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?
Jonathan ate
The fraction 
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.
The fraction
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37 is 20% of what number?
37 is 20% of what number?
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.
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.
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