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PROBLEM SOLVING 1003

[one] Name this 3-digit number. My ones digit is an odd number which is three times as much as my tens digit. My tens digit is the same as my hundreds digit. The sum of all my digits is 15. Which number am I? Hint

[two] A group has been working with an abacus. Unfortunately, the abacus falls and all the counters fall off. The group members remember these clues: a) The ones digit was the largest value. b) The tens digit was one less than the ones digit. c) The hundreds digit is half the tens digit. c) The sum of all three digits is less than 10. Can you name the number? Hint

[three] A group was working with place value blocks. They created a numeral with their blocks and wrote down some clues. CLUES: a) There are the same number of small cubes as squares. b) The number of rods is a factor of 16 but not 12. c) The total number of squares and small cubes is less than 5. d) The total number of blocks used is 12. Can you figure out what their number was? Hint

[four] Steve has seven $100 notes. He also has one $10 note and nine $1 notes. How much money does he have in total? Hint

[five] Sione has five $10 notes. He also has one $1 note and nine $100 notes. Apu has seven $10 notes. He also has one $1 note and nine $100 notes. a) Who has the most money? b) How much money does Apu have? c) How much money does Sione have? Hint

Another hint

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The hundreds digit MUST be one of these (remember, it is HALF the tens digit):
1, 2, 3, 4

Another Hint

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Important point: The ONES digit is the largest value!

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The tens digit can only be one of these:
0, 1, 2, 3
Now use all these hints to find a combination which will add up to 11 and follow all the clues.

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($100 x 7) + ($10 x 1) + ($1 x 9) =
answer

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There are
2 small cubes

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The number of small cubes must be TWICE as many as the number of squares: 2, 4, 6, 8

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The tens digit must be one of these:
2 or 3

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Sione = ($100 x 9) + ($10 x 5) + ($1 x 1) = answer
Apu = ($100 x 9) + ($10 x 7) + ($1 x 1) = answer
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Ones digit is odd, so it MUST be one of these:
1, 3, 5, 7, 9
Don't forget, though, that the ones digit is THREE times as big as the tens digit.

Another Hint

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The tens digit MUST be one of these (and remember, it has to be DOUBLE the hundreds):
2, 4, 6, 8

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Doug MUST have less money than Dave and Deena.

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Since the ones digit must be triple the tens digit, the ones digit MUST be one of these:
6 or 9 Another hint

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