How to find the whole from the part - ISEE Lower Level (grades 5-6) Mathematics Achievement
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Find the whole from the part. Round to the nearest tenths place.
16 is 55% of what number?
Find the whole from the part. Round to the nearest tenths place.
16 is 55% of what number?
To find the whole from a part, divide the "part" by the percent. But first, change the percent into a decimal (55% = 0.55)
Round to the nearest tenths place = 29.1.
To find the whole from a part, divide the "part" by the percent. But first, change the percent into a decimal (55% = 0.55)
Round to the nearest tenths place = 29.1.
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is 
of what number?
Solve by setting up a proportion.
Cross multiply.
is 
of 
.
Solve by setting up a proportion.
Cross multiply.
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Roman is ordering uniforms for the tennis team. He knows how many people are on the team and how many uniforms come in each box. Which equation can be used to solve for how many boxes 
Roman should order?
Roman is ordering uniforms for the tennis team. He knows how many people are on the team and how many uniforms come in each box. Which equation can be used to solve for how many boxes
The total number of uniforms needed equals the number of students divided by the number of uniforms per box.
The total number of uniforms needed equals the number of students divided by the number of uniforms per box.
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In Cody's class, there are 
boys for every 
girl. If there are 
boys in the class, how many students are there in the class altogether?
In Cody's class, there are
To find out how many students are in the class, we first need to find the number of girls in the class. For every 
boys, there will be 
girl. There are 
groups of 
in a group of 
(or, put another way, 
), so the class has 
groups of 
boys. That means we also have 
groups of 
girl. 
is 
, so altogether we have 
boys and 
girls. 
, so the correct answer is 
.
To find out how many students are in the class, we first need to find the number of girls in the class. For every
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52 is 25% of what number?
52 is 25% 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 (25% becomes 0.25).
Therefore, 52 is 25% of 208.
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 (25% becomes 0.25).
Therefore, 52 is 25% of 208.
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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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Andrea and her three friends all pitched in to buy a puppy. Each person paid equal parts. If Andrea paid 20 dollars, what was the total cost of the puppy?
Andrea and her three friends all pitched in to buy a puppy. Each person paid equal parts. If Andrea paid 20 dollars, what was the total cost of the puppy?
We can solve this question with multiplication.
First, we know that Andrea paid 20 dollars and that each person paid equal parts. That means that each person paid 20 dollars.
Second, we know that there are four people total: Andrea and three additional friends.
Multiply the cost per person by the number of people to get the total cost.
We can solve this question with multiplication.
First, we know that Andrea paid 20 dollars and that each person paid equal parts. That means that each person paid 20 dollars.
Second, we know that there are four people total: Andrea and three additional friends.
Multiply the cost per person by the number of people to get the total cost.
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There are 4 canoes at a summer camp. Each canoe can hold a maximum of 6 campers, but each canoe must have an even number of campers in order to maintain balance.
Which of the following is NOT a possible number of campers who could have paddled from one end of the lake to the other using all 4 canoes?
There are 4 canoes at a summer camp. Each canoe can hold a maximum of 6 campers, but each canoe must have an even number of campers in order to maintain balance.
Which of the following is NOT a possible number of campers who could have paddled from one end of the lake to the other using all 4 canoes?
If each canoe requires an even number of campers, then it would have been impossible for 6 campers to have paddled across in all 4 canoes.
This is because if 6 campers used the canoes, 2 campers would have gone the first two canoes, while 1 camper would have gone in each of the 2 remaining canoes. Only having 1 camper per canoe would have been an odd number of campers, causing the canoe to be unbalanced.
6 campers:
Canoe 1 - 2, Canoe 2 - 2, Canoe 3 - 1, Canoe 4 - 1
In order for each canoe to have an even number of campers, there must be a minimum of 8 campers.
If there were 8 campers:
Canoe 1 - 2, Canoe 2 - 2, Canoe 3 - 2, Canoe 4 - 2
If there were 12 campers:
Canoe 1 - 2, Canoe 2 - 2, Canoe 3 - 2, Canoe 4 - 6
If there were 14 campers:
Canoe 1 - 2, Canoe 2 - 2, Canoe 3 - 4, Canoe 4 - 6
If there were 20 campers:
Canoe 1 - 4, Canoe 2 - 4, Canoe 3 - 6, Canoe 4 - 6
If each canoe requires an even number of campers, then it would have been impossible for 6 campers to have paddled across in all 4 canoes.
This is because if 6 campers used the canoes, 2 campers would have gone the first two canoes, while 1 camper would have gone in each of the 2 remaining canoes. Only having 1 camper per canoe would have been an odd number of campers, causing the canoe to be unbalanced.
6 campers:
Canoe 1 - 2, Canoe 2 - 2, Canoe 3 - 1, Canoe 4 - 1
In order for each canoe to have an even number of campers, there must be a minimum of 8 campers.
If there were 8 campers:
Canoe 1 - 2, Canoe 2 - 2, Canoe 3 - 2, Canoe 4 - 2
If there were 12 campers:
Canoe 1 - 2, Canoe 2 - 2, Canoe 3 - 2, Canoe 4 - 6
If there were 14 campers:
Canoe 1 - 2, Canoe 2 - 2, Canoe 3 - 4, Canoe 4 - 6
If there were 20 campers:
Canoe 1 - 4, Canoe 2 - 4, Canoe 3 - 6, Canoe 4 - 6
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Together, Patricia, Alex and Steve compose 25 percent of their math club. How big is the math club?
Together, Patricia, Alex and Steve compose 25 percent of their math club. How big is the math club?
If 3 people compose 25% of the math club, then 100% of the math club would consist of 4 times the number 3. This gives us a product of 12. Therefore, the correct answer is 12 people.
If 3 people compose 25% of the math club, then 100% of the math club would consist of 4 times the number 3. This gives us a product of 12. Therefore, the correct answer is 12 people.
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Bessy is making shirts for her daughters. If 2 square feet of fabric is enough for her to make 1 shirt, how many shirts can she make with 9 square feet of fabric?
Bessy is making shirts for her daughters. If 2 square feet of fabric is enough for her to make 1 shirt, how many shirts can she make with 9 square feet of fabric?
Given that 2 square feet of fabric is enough for Bessy to make 1 shirt, 9 square feet of fabric is 4.5 times the amount needed to make a shirt. This means that Bessy could make 4.5 shirts. Because making 0.5 shirts does not count as a full shirt, the correct answer is therefore 4 shirts.
Given that 2 square feet of fabric is enough for Bessy to make 1 shirt, 9 square feet of fabric is 4.5 times the amount needed to make a shirt. This means that Bessy could make 4.5 shirts. Because making 0.5 shirts does not count as a full shirt, the correct answer is therefore 4 shirts.
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There are 8 slices in a pie, and each slices weights 1.5 ounces. What is the total weight of the pie in ounces?
There are 8 slices in a pie, and each slices weights 1.5 ounces. What is the total weight of the pie in ounces?
If each slice of pie weighs 1.5 ounces and there are 8 slices total, then the total weight of the pie can be found by multiplying 8 by 1.5.
12 ounces is the weight of the entire pie.
If each slice of pie weighs 1.5 ounces and there are 8 slices total, then the total weight of the pie can be found by multiplying 8 by 1.5.
12 ounces is the weight of the entire pie.
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If there are 4 servings in an ice cream container, and each serving is equal to 2 ounces, how many ounces are in the entire container?
If there are 4 servings in an ice cream container, and each serving is equal to 2 ounces, how many ounces are in the entire container?
If an ice cream container has 4 servings and each serving is equal to 2 ounces, the total number of ounces in the container can be found by multiplying 2 by 4.
This results in 8 ounces.
If an ice cream container has 4 servings and each serving is equal to 2 ounces, the total number of ounces in the container can be found by multiplying 2 by 4.
This results in 8 ounces.
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If one-third of a pie is equal to 2 slices, how many slices are in the entire pie?
If one-third of a pie is equal to 2 slices, how many slices are in the entire pie?
We know that one-third of the pie is 2 slices. We can set up an equation:
In other words, one-third times the total slices in the pie will be equal to 2 slices.
Multiply both sides of the equation by 3.
The fraction on the left side cancels.
There are a total of 6 slices in the pie.
We know that one-third of the pie is 2 slices. We can set up an equation:
In other words, one-third times the total slices in the pie will be equal to 2 slices.
Multiply both sides of the equation by 3.
The fraction on the left side cancels.
There are a total of 6 slices in the pie.
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Greg eats 4 brownies, which is equal to 
of the total batch. How many brownies are in the total batch?
Greg eats 4 brownies, which is equal to
If b is equal to the number of brownies in the batch, the following equation can be used to determine the value of b:
Given that 4 is twice the value of 2, it follows that b will be twice the value of 17. Therefore, the value of b is 17 mutliplied by 2, which is 34.
If b is equal to the number of brownies in the batch, the following equation can be used to determine the value of b:
Given that 4 is twice the value of 2, it follows that b will be twice the value of 17. Therefore, the value of b is 17 mutliplied by 2, which is 34.
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There are 3 birds in a tree who are joined by their mates. Two-thirds of the birds then fly away. How many birds remain?
There are 3 birds in a tree who are joined by their mates. Two-thirds of the birds then fly away. How many birds remain?
Given that there are 3 birds in the tree who are then joined by their mates, there are 6 total birds in the tree. If two-thirds of the birds fly away, 4 birds leave, and 2 birds are left in the nest
Given that there are 3 birds in the tree who are then joined by their mates, there are 6 total birds in the tree. If two-thirds of the birds fly away, 4 birds leave, and 2 birds are left in the nest
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Joe has completed 
math problems and now has one-third of his assignment left to complete. What is the total number of problems in his assignment?
Joe has completed
If Joe has one third of his assignment to complete after finishing 
problems, that means that 
is equal to two-thirds of the entire set. Knowing this, we can write out the equation 
and solve for 
in order to find how many problems make up Joe's homework assignment.
We can solve this equation by cross-multiplying to get 
, which simplifies to 
.
To find 
, we can divide each side of the equation by 
. This gives us 
, so there are 
problems in Joe's homework assignment.
If Joe has one third of his assignment to complete after finishing
We can solve this equation by cross-multiplying to get
To find
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There are four tea bags left in a box. If this quantity is 25% of the original, how many tea bags were originally in the box?
There are four tea bags left in a box. If this quantity is 25% of the original, how many tea bags were originally in the box?
We can set up a proportion to solve:
Cross-multiply:
We can set up a proportion to solve:
Cross-multiply:
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What is the value of the expression below?
What is the value of the expression below?
To solve the expression, 
, the key is to reduce it step by step, as shown below:
To solve the expression,
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