CPM Homework Banner
2-81.

Copy and complete each of the Diamond Problems below. The pattern used in the Diamond Problems is shown at right. 

Generic Diamond Problem. One number, x, is located on the left side. The second number, y, is located on the right side.  The bottom number is the sum of the two numbers, x and y. The top number is the product of the two numbers, x and y.

  1. Diamond Problem. Left 9, Right blank, Top blank,  Bottom 16

    Added to the diamond, 7 in right space.

    Added to the diamond, 63 in top space.

    Find the number that will complete the expression  . Added to the diamond, 7 in right space.

    With the number in red you complete the diamond by finding the product of the two numbers. Added to the diamond, 63 in top space.

    The numbers and complete the diamond.

  1. Diamond Problem. Left blank, Right 8, Top blank,  Bottom 15

    This problem is very similar to part (a). Try solving the problem on your own. What added to  gives ?

    The missing numbers are and .

  1. Diamond Problem. Left blank, Right blank, Top 49,  Bottom 14

    Use parts (a) and (b) as guides for solving this problem.
    You may also want to try guessing and checking for possible numbers to complete the boxes, since you cannot begin with subtraction or division.

  1. Diamond Problem. Left 1 half, Right 2, Top blank,  Bottom blank

    To complete the diamond, find the sum and product of the two given numbers.