In 2014, Howard returned from his football game later than normal and Trudy, his Mom, was concerned. She asked what position he played, and he said he was a lineman. She asked what team they played and he said the Bears. She asked if anything strange had happened, and he said no. She asked what the score was and he said their team won, 14-1. Satisfied, Trudy sent Howard up to bed. The next morning Trudy told her husband Mick about her conversation with Howard. Mick’s face turned red and he stormed up to Howard’s room.
Mick knew Howard was lying about being at the football game because in American football it’s impossible to score just 1 point (before the 2015 one-point safety rule). A score of 2 is the lowest possible score (awarded for a safety). In fact, 1 is the only impossible score in football. You can score 2 points for a safety, 3 points for a field goal and 6 points for a touchdown, with an extra point for the field goal. You also have the option to go for another touchdown for a 2-point conversion. With 2, 3, 6 and 7 you can generate any other number except for 1.
For example, here are ways a team could score from 2 to 10 points. 2 = safety 3 = field goal 4 = 2 + 2 5 = 3 + 2 6 = touchdown 7 = touchdown and extra point attempt 8 = touchdown and two point conversion 9 = touchdown and field goal 10 = touchdown, extra point attempt and field goal
You are the bus driver. At your first stop, you pick up 29 people. On your second stop, 18 of those 29 people get off, and at the same time 10 new passengers arrive. At your next stop, 3 of those 10 passengers get off, and 13 new passengers come on. On your fourth stop 4 of the remaining 10 passengers get off, 6 of those new 13 passengers get off as well, then 17 new passengers get on. What is the color of the bus driver’s eyes?
A painter needed 3 days to paint a room. How long would it take him, working at the same rate, to paint a room twice as large (twice the width and twice the height)?
12 days because the walls would be four times as big as the first room.
If the walls are 10 ft x 10 ft, then each wall has 100 square feet. Adding the four walls makes 400 square feet to paint. Doubling the width and height of the walls to 20 ft x 20 ft means each wall is now 400 square feet, for a total of 1600 square feet to paint. 1600 ft is four times 400 square feet, thus if it took him 3 days to paint 400 square feet, it will take 12 days (or four times as much) to paint 1600 square feet.
You have two coins of equal size on a table, situated end to end vertically. If you roll the top coin around the bottom coin until it returns to its original position, how many times will it have rotated?
I have palms but not on hands, I offer foods from distant lands, When at my peak you’ll see me smoke, I’m famous for my friendly folk, My flowers grow and yet they lay, There’s fire where a man will play, I’m sure you know we’re family, You’re welcome to come stay with me.
Last winter I found myself locked out of my house because I couldn’t remember the 5-digit code to open the garage door. I used the following facts to get inside.
1. The second and third digits add up to 9. 2. The first digit is equal to the second digit cubed. 3. The sum of the third and fifth digits is the smallest number with exactly five divisors. 4. The fourth digit is equal to 6 times the second-to-last digit. 5. None of the digits repeat.
If we label each digit a, b, c, d and e, we get the following equations. 1. b + c = 9 2. a = b3 3. c + e = 16 (since 16 is the smallest number with five divisors – 1, 2, 4, 8 and 16). 4. d = 6 * d (The fourth and second-to-last digits are the same number, meaning d must be zero to satisfy the equation) 5. b must be zero, one or two (b can’t be three because that makes a=27, which isn’t a single digit). Zero and one result in duplicate digits (00907 and 11808 respectively) so the only remaining value for b is 2, giving us 82709 and warmth.