All ISEE Middle Level Math Resources
Example Questions
Example Question #941 : Isee Middle Level (Grades 7 8) Mathematics Achievement
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 #951 : Isee Middle Level (Grades 7 8) Mathematics Achievement
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 , but the shirt is on sale for
off. Additionally, Brett has a
off coupon that he uses after the
off is applied. What is the price of the shirt in dollars, before tax?
If the original price of the shirt was , but it is on sale for
off, then that means the shirt will be discounted by
because
of
is
.
. Additionally, with the
off coupon, the final price would be
.
Example Question #61 : Numbers And Operations
Sweaters are each, but they are on sale: when you buy one, you get one free. Rebecca buys one sweater and gets one free. At checkout, she then presents a coupon for an additional
off. What is the average cost of one sweater in dollars (before tax)?
If Rebecca buys a sweater that is part of a buy one, get one free sale, that means that she will get two sweaters for a total of
. A
off discount will mean that Rebecca will save
off of her total because
of
is
.
Therefore, the total she will pay is equal to .
The average price of a sweater will therefore be .
Example Question #24 : How To Find The Part From The Whole
of the students in a classroom of
students are boys.
of the girls in this classroom wear their hair in pigtails. How many girls wear their hair in pigtails?
If of the students in a classroom of
students are boys, that means that
students are boys, since
. (Alternatively, you could figure this out by realizing that since
of
is
and
,
of
must equal
, which is
.) If there are
boys in the classroom, there must be
girls, since
.
Given that of the girls wear their hair in pigtails, and
of
is
, it follows that there are
girls in the classroom who wear their hair in pigtails.
Example Question #21 : Whole And Part
If the sum of 3 consecutive numbers is 111, what is the value of the middle number?
The sum of . The easiest way to discover the middle number of this set is to divide 111 by 3:
Now that you have the middle number, simply add one to it and subtracy one from it to get your consecutive numbers:
Example Question #61 : Numbers And Operations
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 #22 : Whole And Part
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 #23 : Whole And Part
Stephanie needs to drive miles to meet her family at their vacation home. If she drives at
miles per hour, how many hours will it take Stephanie to arrive?
Divide:
Answer: It will take Stephanie hours to arrive.
Example Question #24 : Whole And Part
Eighteen dollars must be shared among friends. How much money will each friend receive?
Divide:
Answer: Each friend will receive .
All ISEE Middle Level Math Resources
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