Sixth Grade Challenging Math 
661) 12 people go to a meeting. How many hands will they shake if they all
shake each other's hands?
662) 6th
grade classes at Spring Creek Elementary completed a math test. The average
score of the female students is 84, and the average score of the male students
is 86. There are 62 girls, and 50 boys in the 6th grade. What is the average
math test score of the entire 6^{th} grade?
663) You have a blue coin and a yellow coin. Place them in the following squares so that the blue one is always 1 row above the yellow one. How many different ways are there to place them in this manner?
664) Smart multiplications a) 125 x 88 b) 108 x 125
665) In the figure below, the
circle has a radius of R. The rectangle's length is 2R and the width is R.
What is the area of the blue region?
666) In the figure below, the
circle has a radius of R. The square's side is 2R. One corner of the
square is in the center of the circle. What is the area of the blue region?
667)
In the figure below, the circle has a radius of R. Two sides of the right
triangle's length is R. One corner of the triangle is in the center of the circle.
What is the area shaded with red lines?
668)
At a party, there are 36 people.
The ratio of adults to kids is 3 to 1. How many adults and how many kids are
there at the party?
669) At a party,
there are 72 people. The ratio of men to ladies to kids is 4 to 3 to 2. How many
kids are there? How many men are there? How many ladies are there?
670)
How many rectangles are in
the following figure?
More challenging math problems for 6th grade: 15 610 1115 1620 2125 2630 3135
3640
4145 4650
5160
6170
7180
8190
