How to find the part from the whole - ISEE Lower Level (grades 5-6) Mathematics Achievement
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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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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?
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?
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.
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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In a barrel there are 
apples. If there are 
red apples for every 
green apples, how many of the apples in the barrel are green?
In a barrel there are
If there is a group of 
green apples for every group of 
red apples, then in every group of 
apples there will be 
green ones and 
red ones. (
). How many groups of 
apples are there in a barrel containing 
apples? 
divided by 
is 
, so there are 
groups of 
apples. In each group of 
apples, there is a smaller group of 
green apples, so there are 
groups of 
green apples each. 
, so there are 
green apples in a barrel of 
apples.
Alternatively, one could say that since there are 
green apples in every group of 
apples, the fraction of green apples in the barrel is 
. To find 
of 
, multiply 
and 
together. 
is 
, so there are 
green apples in the barrel.
If there is a group of
Alternatively, one could say that since there are
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What is 65% of 3.75? Round to the nearest hundredths place.
What is 65% of 3.75? Round to the nearest hundredths place.
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).
Then you must round to the nearest tenths place: 2.4375 becomes 2.44.
Therefore, 65% of 3.75 is 2.44.
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).
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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Each of the points on the line above is the same distance from the next. If the distance between point A and point F is 
inches, what is the distance between point A and point C?
Each of the points on the line above is the same distance from the next. If the distance between point A and point F is
There are five segments of line between points A and F. 
divided by 
is 
, so each line segment is 
inches long. There are 
line segments between points A and C. 
line segments 
inches each 
inches, so 
inches is the correct answer.
Alternatively, since there are 
line segments between points A and F and 
line segments between points A and C, line AC is 
of the total line AF. To find 
of 
, multiply 
and 
. 
, so the correct answer is 
inches.
There are five segments of line between points A and F.
Alternatively, since there are
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What is four-sevenths of 490?
What is four-sevenths of 490?
Multiply the fraction 
by 490, putting 490 over 1 and cross-cancelling:
Multiply the fraction
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A pizza contains 12 slices. Becky eats 
of the pizza. How many slices does she eat?
A pizza contains 12 slices. Becky eats
Becky eats 
of a pizza, which contains 12 pieces. You can find the total number that she eats by multiplying the fraction by the whole:
Becky eats
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A total of 
students were asked which one of three sports-- basketball, volleyball, or tennis-- they preferred. If 
students said basketball and 
said volleyball, how many students said they prefer tennis?
A total of
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.
The students who are not included among these 
are the ones who prefer tennis. To find this number one should subtract 
from the original group of 
students.
Therefore, 
students prefer tennis.
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.
The students who are not included among these
Therefore,
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What is nine-thirteenths of 234?
What is nine-thirteenths of 234?
Multiply 
by 234, rewriting and cross-cancelling:
Multiply
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James ate 
of a 12-slice pizza. How many slices of pizza did he eat?
James ate
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Which of the following is not a multiple of 8?
Which of the following is not a multiple of 8?
A multiple is a number that can be divided by another number (in this case 8) without a remainder. All of the answer choices can be divided by 8 without a remainder exept for the number 20 (which leaves a remainder of 4); therefore, 20 is not a multiple of 8.
A multiple is a number that can be divided by another number (in this case 8) without a remainder. All of the answer choices can be divided by 8 without a remainder exept for the number 20 (which leaves a remainder of 4); therefore, 20 is not a multiple of 8.
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Which of the following is not a factor of 24?
Which of the following is not a factor of 24?
Factors are numbers that can be multiplied together to create another number. 3, 4, 8, and 12 are all factors of 24.
There is no number that multiply by 7 to result in 24; therefore, 7 is not a factor of 24.
Factors are numbers that can be multiplied together to create another number. 3, 4, 8, and 12 are all factors of 24.
There is no number that multiply by 7 to result in 24; therefore, 7 is not a factor of 24.
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Brett and Bob love to ski. They planned on a 5 day ski trip together, but Brett decided to stay 40% longer than they had originally planned. How many extra days did Brett stay?
Brett and Bob love to ski. They planned on a 5 day ski trip together, but Brett decided to stay 40% longer than they had originally planned. How many extra days did Brett stay?
If Bob and Brett planned a 5 day ski trip, then 2 days would make the trip 40 percent longer.
This is because 2 extra days out of 5 is equal to 
. The percent equivalent of .4 is 40 percent. Therefore, 2 is the correct answer.
If Bob and Brett planned a 5 day ski trip, then 2 days would make the trip 40 percent longer.
This is because 2 extra days out of 5 is equal to
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If there are 15 cookies in a tin, and Rebecca gives 5 of the cookies to her mother and one fifth of the remaining cookies to her father, how many cookies remain?
If there are 15 cookies in a tin, and Rebecca gives 5 of the cookies to her mother and one fifth of the remaining cookies to her father, how many cookies remain?
If there are 15 cookies in a tin, and Rebecca gives 5 of the cookies to her mother, then 10 cookies remain. She gives one fifth of them, or 2 cookies, to her father.
Therefore, 8 cookies remain.
If there are 15 cookies in a tin, and Rebecca gives 5 of the cookies to her mother, then 10 cookies remain. She gives one fifth of them, or 2 cookies, to her father.
Therefore, 8 cookies remain.
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If Rebecca has watched 6 and a half minutes of a video that is one hour and five minutes long, what percentage of the video has she watched?
If Rebecca has watched 6 and a half minutes of a video that is one hour and five minutes long, what percentage of the video has she watched?
Rebecca has watched 6 and a half minutes of a video that is one hour and five minutes long, which can also be written as 6.5 minutes of a video that is 65 minutes long.
Given that 
, Rebecca has watched 10% of the video.
Rebecca has watched 6 and a half minutes of a video that is one hour and five minutes long, which can also be written as 6.5 minutes of a video that is 65 minutes long.
Given that
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There is a shipment of computer screens arriving today. If there are 1,400 screens, and 35% of them are 23 inches wide, what is the number of 23 inch-wide screens?
There is a shipment of computer screens arriving today. If there are 1,400 screens, and 35% of them are 23 inches wide, what is the number of 23 inch-wide screens?
There is a shipment of computer screens arriving today. If there are 1,400 screens, and 35% of them are 23 inches wide, what is the number of 23 inch-wide screens?
We need to find the portion of screens from the whole.
First, we need to convert our percent to a decimal:
Next, multiply the total number by our new-found decimal
So our answer is 490
There is a shipment of computer screens arriving today. If there are 1,400 screens, and 35% of them are 23 inches wide, what is the number of 23 inch-wide screens?
We need to find the portion of screens from the whole.
First, we need to convert our percent to a decimal:
Next, multiply the total number by our new-found decimal
So our answer is 490
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