I have a couple more math questions and they are very difficult. Can you help me?

Question by sharisseee.(:: I have a couple more math questions and they are very difficult. Can you help me?
1) Pioneer Video is giving away a free movie to anyone who can solve this puzzle. Place the numbers one to nine in the squares so that none of the rows, columns or diagonals have the same sum. Olivia won a free movie, what was her solution?

2) Homer Simpson entered a pie eating contest at the country fair. Homer was determined to win and went into training for 6 days. Each day he ate 4 more pies than the day before. Homer ate 150 pies while in training. How many pies did he eat each day?

3) Belgium Cheese costs $ 1.70 for 1/2 kilograms. How much will 2 and 1/2 kilograms of cheese cost?

4) The area of one side of the box is 120cm2. The area of another side of the box is 72 cm2. The area of the top of the box is 60 cm2. What is the volume of the box?

5) Yosemite Sam built a square fence using 48 posts which enclosed a square field. He placed the posts 5 metres apart. What is the area of the field bounded by the fence?

6) Every positive integer can be expressed as the sum of four or fewer squared numbers (NOTE: you can use the same integer more than once)
Examples:
5 = 1 * 1 + 2 * 2
101 = 4 * 4 + 6 * 6 + 7 * 7
170 = 2 * 2 + 6 * 6 + 7 * 7 + 9 * 9
Try to write 83 as the sum of three square numbers.

7) The Canadian record for the most consecutive sit-ups is 17,000 in 7 hours and 27 minutes.
At a rate of 40 sit-ups per minute, how many hours and minutes would it take to tie the record. Is this rate better than the Canadian record?

8) On an algebra test, I had seven times as many correct answers as incorrect ones. There were 120 items on the test, how many did I get right?

9) If I pile grapefruit in a pyramid with 1 grapefruit in the first layer, 4 in the second layer (from the top), 9 in the third layer, and 16 in the fourth layer, how many grapefruit will I need to make a pile with 10 layers?

10) Big-Bird wants to make a picture frame for his picture of Elmo. He is given the piece of plywood shown. He wants to make it in a shape (the shaded area). In order to do so, he must connect all the mid-points of the sides of a rectangle. What is the area of the piece of wood he will be using for the picture frame? What is the perimeter of the inside of frame?

Best answer:

Answer by Geronimo
               19 sum
         •
            •
        •
                 •
  9 3 8 •  •   • 20 sum

  1 5 2 •  •   • 8 sum

  6 7 4 •  •   • 17 sum
   •  •   • •
   •  •   •   •
   •  •   •    •
       16        15       14   •
   sums       18 sum
__________________________

Addition: Problem 2:

 ”P” pies on day 1 ; ”P + 4″ pies on day 2 ; … and so on.

 P + (P + 4) + (P + 8) + (P + 12) + (P + 16) + (P + 20) = 150

      6P + 60 = 150
             P = 15

 Daily pies:
      15 + 19 + 23 + 27 + 31 + 35 = 150 pies

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