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Problem of the Week
Problem A
Just Filling In

  1. Arrange the numbers below in the white boxes to make the smallest possible sum.

    The numbers are 2, 3, 5, 6, 7, and 8. Six white boxes represent the digits of two three-digit numbers. The two three-digit numbers are added and the sum is another three-digit number.

  2. Arrange the same numbers from part A) in the white boxes to make the largest possible sum.

    The numbers are 2, 3, 5, 6, 7, and 8. Six white boxes represent the digits of two three-digit numbers. The two three-digit numbers are added and the sum is a four-digit number.

  3. Arrange the numbers below in the white boxes to make the given sum.

    The numbers are 1, 3, 4, 5, 6, and 8. Six white boxes represent the digits of two three-digit numbers. The two three-digit numbers are added and the sum is the four-digit number 1296.

For each part, how many different solutions can you find?

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