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6-61) 12 people go to a meeting. How many hands will they shake if they all shake each other's hands? 6-62) 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 6th grade? 6-63) 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? 6-64)   Smart multiplications

a) 125 x 88

b) 108 x 125

6-65) 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? 6-66) 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? 6-67) 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? 6-68) 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?

6-69) 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?

6-70)  How many rectangles are in the following figure? More challenging math problems for 6th grade:
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