ISEE Middle Level Math : Whole and Part
Study concepts, example questions & explanations for ISEE Middle Level Math
All ISEE Middle Level Math Resources
Example Questions
Example Question #63 : Numbers And Operations
There are 15 animals in a pet store. The only animals are dogs and cats. There are twice as many dogs as cats. How many dogs are there?
In this problem, the sum of the cats and dogs must equal 15. If there are 10 dogs, there must be 5 cats because there are twice as many dogs as cats. (Two times 5 is 10.)
Given that 10 plus 5 is 15, 10 is the correct answer.
Example Question #21 : How To Find The Part From The Whole
A dog has a litter of 6 puppies. The average weight of the puppies is 7 pounds. After one week, half of the puppies have gained one pound. What is the new average weight of the puppies after one week?
If half of the 6 puppies gain one pound, that means that 3 puppies will gain one pound. This means that 3 total pounds will be gained among the 6 puppies.
We can assume that the weight of each puppy was originally 7 pounds, since the average was 7. Three of the puppies have gained a pound, meaning they will weigh 8 pounds.
Weights of the puppies after one week: 7, 7, 7, 8, 8, 8
Find the new average by summing the individual weights and dividing by the number of puppies.
Example Question #21 : How To Find The Part From The Whole
Brett buys a shirt. The original price was 
If the original price of the shirt was 
Example Question #21 : How To Find The Part From The Whole
Sweaters are 
If Rebecca buys a 
Therefore, the total she will pay is equal to 
The average price of a sweater will therefore be 
Example Question #22 : How To Find The Part From The Whole
If 
Given that 
Example Question #64 : Numbers And Operations
If the sum of 3 consecutive numbers is 111, what is the value of the middle number?
The sum of 
Now that you have the middle number, simply add one to it and subtracy one from it to get your consecutive numbers:
Example Question #24 : How To Find The Part From The Whole
3 brothers weigh 80 pounds, 120 pounds, and 135 pounds. The smallest brother gained 15 pounds over the past year, while the largest brother lost 5 pounds. The middle brother's weight did not change. Based on the brothers' new weights, what is their average weight?
If 3 brothers weigh 80 pounds, 120 pounds and 135 pounds, and the smallest brother gained 15 pounds over the past year, while the largest brother lost 5 pounds, the new weights of the brothers are:
95 pounds, 120 pounds, and 130 pounds. (The middle brother's weight did not change.)
Given that the average is found by dividing the sum of the numbers in a list by the number of items in that list, the following equation will be used:
Therefore, the new average is 115 pounds.
Example Question #31 : How To Find The Part From The Whole
If 25 percent of a number is 3, then what would two thirds of the same number be equal to?
If 25 percent of a number is 3, then that means that 100 percent of the number will be equal to 3 times 4, which is 12. Two thirds of the number 12 is 8; therefore, 8 is the correct answer.
Example Question #21 : Whole And Part
Stephanie needs to drive 
Divide:
Answer: It will take Stephanie 
Example Question #71 : Numbers And Operations
Eighteen dollars must be shared among 
Divide:
Answer: Each friend will receive 
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All ISEE Middle Level Math Resources
