All ISEE Middle Level Math Resources
Example Questions
Example Question #101 : Whole And Part
How many sixths are there in ?
In each whole number, there are 6 sixths. Therefore, in the number 2, there are 12 sixths.
In the fraction , each third is equal to 2 sixths. Therefore, there would be 4 sixths in .
Next, we add together the 12 sixths and the 4 sixths, which gives us 16; the correct answer.
Example Question #102 : Whole And Part
Gabby has a large rectangular cookie that she is going to cut into smaller pieces. She can cut it into 8 pieces that are 2 inches by 2 inches. How many pieces can she cut the cookie into if she makes each piece 1 inch by 1 inch.
If Gabby can cut out 8 pieces that are 2 inches by 2 inches, that means that each piece is 4 square inches (2 times 2 equals 4).
Thus, she has 32 square inches of cookie. (8 pieces times 4 square inches equals 32 square inches).
It is possible to cut out 32 1 inch by 1 inch pieces of cookie. Therefore, 32 square inches is the correct answer.
Example Question #103 : Whole And Part
Last year, Alex could run a mile in 10 minutes. If Alex was able to reduce his mile time by 2 minutes this year, how many miles could he run in 24 minutes?
Given that Alex was previously able to run a mile in 10 minutes, if he improved his time by 2 minutes, that means he could run a mile in 8 minutes. If he had 24 minutes to run, he would be able to run 3 miles, as 24 divided by 8 is 3.
Example Question #104 : Whole And Part
Ariel bought 18 pieces of fruit. One third of the pieces of fruit she bought were apples. One half of the apples were bruised. How many bruised apples were there?
If one third of the fruit that Ariel bought were apples, she bought 6 apples because 6 is one third of 18, the total pieces of fruit that she bought.
If one half of the 6 apples were bruised, this means that 3 of the apples were bruised.
Example Question #105 : Whole And Part
How many times can the fraction go into the number 6?
This problem can be solved using mental math. In the number 6, we can find the amount of thirds contained within it by multipling 6 and 3, which gives us 18.
If there are 18 values of within 6, then it makes sense that there would be half as many values, giving us a value of 9. The correct answer is therefore 9.
Example Question #44 : How To Find The Whole From The Part
A store bought a statue for and decided to sell it for a price higher than the price at which it was bought. A customer then purchased the statue. How much profit did the store make in dollars from the sale of the statue?
Given that of is , a price increase for a statue would mean that the statue's new, increased price .
A customer bought the statue for and the store originally paid for the statue, so the store's total profit equals .
Example Question #106 : Whole And Part
If you know that male students make up of a class and there are of them, what is to total amount of students?
You can set up a ratio for this problem in fraction form.
The male students would go over amount of total students,.
would be written as .
Your ratio would be,
and you can cross multiple.
This would give you .
To solve for , you would divide each side by and your answer would be .