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PROBLEM SOLVING 1004

[one] Name this 3-digit number. My ones digit is an odd number which is three times smaller than my tens digit. My tens digit is greater than my hundreds digit. My hundreds digit is a factor of 24 and 72. The sum of all my digits is greater than 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 and the hundreds digit were the the same. b) The tens digit was the largest number. c) The tens digit is a factor of 6 and 9. d) The sum of all three digits is 5. 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 and sqaures. b) The number of rods is a factor of 12 but not 18. c) There are more large cubes than rods. d) The sum of the number of small cubes and rods is 6. e) The sum of the number of large cubes and squares is 7. f) The number of large cubes is one greater than the number of rods. Can you figure out what their number was? Hint

[four] Steve has seven $100 notes. He also has five $10 note and one $1000 notes. How much money does he have in total? Hint

[five] Peter has six $10 notes. He also has nine $1 notes and three $100 notes. Penny has four $1 notes. She also has one $100 note and three $1000 notes. a) Who has the most money? b) How much money does Peter have? c) How much money does Penny have? Hint

Another hint

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Factors of 6: 1, 6, 2, 3
Factors of 9: 1, 9, 3
You are looking for a factor common to both 9 and 6 which is the tens digit.

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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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($1000 x 1) + ($100 x 7) + ($10 x 5) =
answer

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There are more large cubes than any other place value block.

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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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Peter = ($100 x 3) + ($10 x 6) + ($1 x 9) = answer
Penny = ($1000 x 3) + ($100 x 1) + ($1 x 4) = 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 SMALLER than 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 three times SMALLER than the tens digit, the ones digit MUST be one of these:
1 or 3 (remember, it has to be an ODD number.)

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