6th and 7th Grade Math for 12/19

Yay! It's your last night of homework until January 9. In honor of that date, here are 9 riddles to help you prepare for tomorrow's Math Olympics. Once you've solved all of the problems email your answers to me at ngoyette@dunnschool.org. Don't spend more than 30 minutes on these practice problems :)

1. What time is it 6 hours before 6 minutes after noon?
2. I need 12 pieces of fruit to make 3 glasses of juice. How many pieces of fruit do I need to make 10 glasses?
3. If 3 out of 5 dentists recommend sugarless gum, what percent don't recommend sugarless gum?
4. The following are all factors of 30 x 40 x 50 except: A) 1 x 3 x 5, B) 2 x 4 x 6, C) 5 x 7 x 9, D) 6 x 8 x 10
5. Every birthday of my life, I put as many pennies in a jar as my age in years. I now have $1.20 in the jar. How old am I?
6. If you continue filling the numbers of the pyramid below, which number will be in the rightmost spot on the 12th line?
                          1
                       2   3
                     4   5   6
                  7   8   9   10
7. What is the Least Common Multiple of 45 and 66?
8. Write the fraction (7/48) as a decimal, rounding to the nearest thousandth.
9. x represents the mean value of the numbers {2, 4, 6, 8};
    y represents the median of the numbers {0, 2, 4, 6};
    z represents the mode of the numbers {1, 2, 2, 3, 3, 3, 4, 4, 4, 4};
    Find the value of (x + y) ÷ z + (x + z) ÷ y