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Sixth Grade Challenging Math

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6-81) A cubic shaped fish tank is 40 inches tall. One quarter of the tank is filled with water. If a piece of cubic shaped metal 30 inches in height is placed in the fish tank, what is the water level in the fish tank?

 

6-82) A cubic shaped fish tank is 30 inches tall. One third of the tank is filled with water. If a piece of cubic shaped metal 20 inches in height is placed in the fish tank, what is the water level in the fish tank?

 

 

6-83) A clock runs one minute faster every hour. How many minutes faster does it run in a week?

 

 

6-84) Pick three different positive integers equal or less than 10, so that the product of the 3 integers is the largest possible.

 

6-85) Find the largest possible integer less than 100 that is divisible by 6 and 5.


6-86) X = 1/a + 1/b. What is value of X when a = 7, b = 8? Answer can be in the form of a fraction.

 

6-87) Y = (m+n)/(m-n). What is the value of Y when m = 8, n =11? Answer can be in the form of a fraction.

 

 

6-88) How many positive whole numbers less than 100 are divisible by 3, but not by 2?

 

 

6-89) There are three positive integers in a row, and their sum is 24. What is their product?
 


6-90) What is 50% of -30% of 54?

 


 

 

 

 

 

More challenging math problems for 6th grade:
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