Sixth Grade Challenging Math 
681) 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?
682) 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?
683)
A clock runs one minute faster every hour. How many minutes faster does it run in
a week?
684)
Pick three different positive integers equal or less than 10, so that the
product of the 3 integers is the largest possible.
685)
Find the largest possible integer less than 100 that is divisible by 6 and 5.
686) X = 1/a + 1/b. What is
value of X when a = 7, b = 8? Answer can be in the form of a fraction.
687) Y = (m+n)/(mn). What is
the value of Y when m = 8, n =11? Answer can be in the form of a fraction.
688)
How many positive whole numbers less than 100 are divisible by 3, but not by 2?
689)
There are three positive integers in a row, and their sum is 24. What is their
product?
690) What is 50% of 30% of 54?
More challenging math problems for 6th grade: 15 610 1115 1620 2125 2630 3135
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