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PROBLEM SOLVING 1002

Number (PSN1002)
[one] Name this 3-digit number. My hundreds digit is an odd number which is half my tens digit.
The sum of all my digits is 3.
Which number am I?
Hint
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[two] A bank manager is making up a meeting schedule for four people who bank at his bank. She decides to arrange the four people in order of who has the most money. The amounts of money are:
$17 000
$9 900
$10 700
$17 500
See if you can figure out:
(a) the order of her interviews
(b) how much money each person has.
CLUES:
Dave has more money than Deena, and Deena has the least amount of money. Dave has more money than Doug, but less money than Doris.
Hint
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[three] 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 tens digit was one less than the ones digit.
b) The ones digit was half the hundreds digit.
c) The sum of all three digits is 11.
Can you name the number?
Hint
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[four] A group was working with place value blocks. They created a numeral with their blocks and wrote down some clues.
CLUES:
a) There are twice as many small cubes as squares.
b) There are the same number of rods as squares.
c) The number of small cubes is a factor of 12 but not of 15 or 16.
d) The total number of blocks used is 12.
Can you figure out what their number was?
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[five]
Rory has six $100 notes. He also has eight $10 notes and two $1 notes. How much money does he have in total?
Hint
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If the ones digit is half the hundreds digit, the ones digit can only be one of these:
1, 2, 3, 4
Another hint
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Deena MUST be last.
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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The number of squares needs to be HALF the number of small cubes.
The number of squares must be one of these:
1, 2, 3, 4
Another hint
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The hundreds digit can only be one of these:
2, 6, 8
Another Hint
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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 is double the hundreds digit, so the tens digit must be one of these:
2 or 6
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($100 x 6) + ($10 x 8) + ($1 x 2) = answer
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Hundreds digit is odd, so it MUST be one of these:
1, 3, 5, 7, 9
Don't forget, though, that the hundreds digit is HALF the tens digit.
Another Hint
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Dave MUST also be ahead of Doug, but he can't be first.
Another hint
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Doug MUST have less money than Dave and Deena.
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Since the hundreds digit must be able to be doubled (which will be the tens digit), the hundreds digit MUST be one of these:
1 or 3
Another hint
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