1. A young tot answered the phone and asked who was calling. “I married your mother, but I am not your father – or your stepfather!” the man replied. Who was calling?
2. Using only pennies, nickels, dimes, and quarters (but at least ONE of each), make change for $1.00, using exactly fifty coins.
3. A digital clock forms palindromic numbers* 114 times a day. What is the least time between two consecutive palindromic clock numbers? What is the most?
*Numbers that read the same forward and backward, like 8:28 or 12:21.
4. Ralph drives 60 miles at an average speed of 30 mph (fog maybe?), then returns over the same route at an average speed of 60 mph. What is his average speed for the entire trip?
5. What are the next two letters in this sequence? O, T, T, F, F, S, S, ___, ___
(Lots of ‘right’ answers here. There’s one that probably fits ‘best'(?), but I’ll take anything you can justify convincingly.)
6. A wooden cube is dropped into red paint. It is then cut into 27 equal-size smaller cubes (2 cuts each direction, like a Rubik’s Cube). How many of the smaller cubes are found to have red paint on a) 3 faces, b) 2 faces, c) 1 face, and d) no faces?7. Which is more: The product of the integers from -5 to 5, or the sum of those same integers?8. a) Find the sum of the reciprocals of the first four primes. b) Is that sum more or less than the product of the same four numbers?9. Fill in the blank below with the symbol for one of the four standard arithmetic operations in such a way that the answer is a) The largest b) the smallest
0.9 ___ 0.9
10. Find a number between 3/7 and 4/9.
11. Sam goes to the bank to get an equal number of dimes and quarters. On the way home he spent 3 quarters and 1 dime, leaving him 52 coins. What is the total value of all the dimes and quarters Sam got from the bank?
12. The first 10 numbers in the sequence 3, 33, 333, 3333, . . . are added. What is the digit in the thousands place of the answer?
1. The Minister who married his parents.
2. 1 quarter, 2 dimes, 2 nickels & 45 pennies.
3. 2 min between 9:59 and 10:01 and 70 min between 11:11 and 12:21
First one is easy. The man who married the tot’s mother was the Mayor of the town who performed the ceremony.
Looks like 1 quarter, 2 dimes, 2 nickels and 45 pennies should do it if inflation doesn’t skew it.
BT 4. Ralph drove 60 miles two ways. Therefore he drove a total of 120 miles. He drove 60 miles at 30 mph so it took him two (2) hours. He drove back at 60 mph so it took him only one (1) hour. Total time was 2+1= 3 hours to drive 120 miles = 40 mph. So what was the speed limit?
1. The officiating minister.
2. 1 quarter, 2 dimes, 2 nickles, 45 pennies = $1.00 and 50 coins
3. 12 hour clock – least amount of time 2 pallidromic numbers is 2 minutes (9:59 to 10:01), the longest is 40 minutes (12:21 to 1:01)
24 hour clock – shortest is 11 minutes (there are 2: 0550 to 1001 and 1551 to 2002) and the longest is 98 minutes (2332 to 0110)
6. 3 faces = 8, 2 faces = 12, 1 face = 6, 0 faces =1
4. 40 mph = 30 mph + 30 mph + 60 mph/3 = 40 mph
1. He is the minister.
3. 10 minutes is the least and 50 minutes is the most.
4. 45 MPH
5. E N They are the first letters to counting 1-9
6. 6 have one side, 12 have two sides and 8 have three sides. One is the middle block without any paint.
9. The blank is A) + and B) –
The second 9. Is 55/126
11. 3
In my comment before I said that 11 was 3 but that was supposed to be for 12.
11. $9.80 although I feel like I am missing something as it was too easy.
2. 45 pennies, 2 dimes,2 nickels, and 1 quarter.
Answer to number 7. Neither is greater. They are both zero whether you add them or multiply them.