How to find the part from the whole - ISEE Lower Level Quantitative Reasoning
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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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Jamie and Austin share a large pizza. The pizza is sliced up into 12 equal pieces. If Jamie eats 1/4 of the pizza and Austin eats twice as many slices as Jamie eats, how many slices of pizza are remaining?
Jamie and Austin share a large pizza. The pizza is sliced up into 12 equal pieces. If Jamie eats 1/4 of the pizza and Austin eats twice as many slices as Jamie eats, how many slices of pizza are remaining?
Begin with the amount of pizza that Jamie eats. Because there are 12 slices in a whole pizza, Jamie eats 3 slices, or 1/4 of the entire pizza.
1/4 of 12 slices =
1/4 x 12 =
3 slices
If Austin eats twice as much as Jamie, that means that he eats
3 x 2
6 slices
To find how many slices are remaining,
we would subtract 3 and 6 from 12.
12 – 3 – 6 = 3
3 pizza slices are remaining.
Begin with the amount of pizza that Jamie eats. Because there are 12 slices in a whole pizza, Jamie eats 3 slices, or 1/4 of the entire pizza.
1/4 of 12 slices =
1/4 x 12 =
3 slices
If Austin eats twice as much as Jamie, that means that he eats
3 x 2
6 slices
To find how many slices are remaining,
we would subtract 3 and 6 from 12.
12 – 3 – 6 = 3
3 pizza slices are remaining.
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Theresa wants to buy a sweater that is currently on sale for 30% off its regular price. If the sweater is originally priced at $20, how much will Theresa have to pay, before taxes?
Theresa wants to buy a sweater that is currently on sale for 30% off its regular price. If the sweater is originally priced at $20, how much will Theresa have to pay, before taxes?
To find the amount of money that is discounted from the sweater,
we would multiply 30% with $20.
30% written in decimal form is 0.30.
So, in order to find how much we will save, we must multiply the following:
0.30 x $20 =
$6.
If we are saving $6 from the regular-priced sweater, that means that the discounted price of the sweater is
$20 – $6 =
$14.
To find the amount of money that is discounted from the sweater,
we would multiply 30% with $20.
30% written in decimal form is 0.30.
So, in order to find how much we will save, we must multiply the following:
0.30 x $20 =
$6.
If we are saving $6 from the regular-priced sweater, that means that the discounted price of the sweater is
$20 – $6 =
$14.
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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?
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?
To find the part from the whole, multiply the "whole" by the percent (change the percent into a decimal first).
The discount is $5.25. Subtract the discount from the original price.
.
So the t-shirt is on sale for $15.75.
To find the part from the whole, multiply the "whole" by the percent (change the percent into a decimal first).
The discount is $5.25. Subtract the discount from the original price.
So the t-shirt is on sale for $15.75.
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Sara and David bake a pie and cut it into 12 equal slices. Sara eats 
of the pie, and David has 1 slice before giving 
of the original pie to his neighbor. How many slices of pie are left?
Sara and David bake a pie and cut it into 12 equal slices. Sara eats
Sara's portion is
While David's portion is
Sara's portion is
While David's portion is
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What is 43% of 82? Round to the nearest tenths place.
What is 43% of 82? Round to the nearest tenths place.
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.
43% of 82 is 35.3, rounded to the nearest tenth.
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.
43% of 82 is 35.3, rounded to the nearest tenth.
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