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Hint |
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3) Damian has a 7 digit phone number. The first 3 digits are consecutive in strictly decreasing order and sum to 6. The last 4 digits is a number that is the product of the squares of two consecutive numbers and it is as large as possible. What is Damian's phone number?
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1. There are only 3 numbers in decending order that sum to 6.
These 3 numbers are ___, ___, and ___
2. Fill out this table until you find 2 numbers that are consecutive and their squares multiply to under 9999:
| N | N1 =
N+1 | N2 | N12
| N2 x N12 |
| | | | | |
| | | | | |
| | | | | |
| | | | | |
| | | | | |
3. Put the first 3 numbers together with these 4 numbers (the last column) to
make the telephone number: __________
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4) It's Joni's lucky day and she finds $2.88 in coins while walking across a parking lot. She decides
to share a little of it with her two friends. They each get 1/8 of the amount and she keeps the rest. What is the fewest number of coins she could give one of her friends and what are they?
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1. Convert the sum to cents = _____
2. Divide this by 8 to get what each friend gets = ____ cents.
3. Figure out the fewest coins, starting with quarters = _____ coins.
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5) Using the operations addition, subtraction, multiplication, or division in any order you need to
how can you get the number 1 using exactly five 2s? Insert the operations you need and parentheses to make the equation true or tell us what you did.
2 __ 2 __ 2 __ 2 __ 2 = 1
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Work backwards.
1. Assume the last operator is a minus, making the last operation - 2.
2. Then, is there a way with the first 3 operators and the first 4 2s (and some parentheses) to make a 3?
3. The operations are:
2 __ 2 __ 2 __ 2 __ 2 = 1
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