REMINDERS: Answers in red. Solvers (submitted/correct) in blue. (Forgive any omissions, but feel free to inform.) Comments in green. For further elaboration on solutions, please feel free to ask!
- Greenland is the largest island in the world. What was the largest island before Greenland was discovered? It was still Greenland (discovered or not). Anita Dixon, Rita Barger.
- If A = the smallest two-digit prime, B – the number of sides in a pentagon, and C = half the number of degrees in a right angle, then find the product of A and (C – B). 440. Anita Dixon, Amy Ragsdale.
- TRUE or FALSE? If x > 0, then a square of side x will always have less area than a circle of radius x. TRUE. Anita Dixon, Rita Barger, Amy Ragsdale.
- Find the exact value of (123,456,789)2 – (123,456,789)*(123,456,788) Note: Read carefully. There are no typos. 123,456,789. Anita Dixon, Amy Ragsdale.
Can you spot the mistake in the picture on the left? (There may be more than one?) I confess I do not have an official ‘answer’ here. I’m open to all submissions/observations.
It appears obvious that the woman’s hands/arms are reversed from what they should be (up/down) in the mirror, so we’ll go with that for the ‘answer’. Other semi-plausible suggestions: * The ‘slit’ in the front of the dress is usually in the back (?). * From that angle, it very possible the woman’s feet should be able to be seen in the mirror (?). Anita Dixon, Amy Ragsdale, and likely Rita Barger.
6. 216 – 1 is divisible by four primes. Find them. 3, 5, 17, 257. Anita Dixon, Amy Ragsdale.
7. You are running a race and just passed both the fourth and third place runners. What place are you in now? Third. Anita Dixon, Amy Ragsdale.
8. There are 5 kids and you have 5 apples in a basket. How do you divide them up so that each kid gets an apple and one apple stays in the basket? Give the final kid the basket also, with the last apple still in it. Anita Dixon, Amy Ragsdale.
9. First, visit this Garfield Cartoon. Then let’s have some fun. Let’s say Garfield started at midnight and reached his millionth meal at noon. How many meals would he have to have eaten per second (or per minute if you prefer?). Over 23 meals per second or roughly 1389 meals/minute. Anita Dixon, Amy Ragsdale.
10. What’s (numerically) special about these three dates this year: Jan 22, Feb 11, Nov 2 ? (Several ‘correct’ answers?) One answer: The month # times the day # = (last 2 digits) of year #. (Another: All the dates can be expressed using only 1’s and 2’s.) Anita Dixon, Amy Ragsdale.
11. Consider the integers from -10 to 10. Which is larger, their sum or their product? They are both = 0. Anita Dixon, Amy Ragsdale.
12. The formula to convert Fahrenheit to Celsius is C = 5/9 (F-32). If it is -40 degrees Fahrenheit, what is the temperature in Celsius? – 40 degrees. (only place where scales are equal). Anita Dixon, Amy Ragsdale.
13. What are the two missing letters? I V X L _D_ _C_ M (Roman numerals). Amy Ragsdale
14. What is a particular number if 1/2 of it plus 2/3 of it add to 42? 36. Amy Ragsdale
15. Can you find 5 consecutive (positive) integers, none of which are prime? Yes. (First place is 24, 25, 26, 27, & 28.) Amy Ragsdale
BONUS 1: See #3 above. How (if at all) does the relationship change if the word radius is replaced by the word diameter? The answer changes from always to never. Anita Dixon, Rita Barger, Amy Ragsdale.
BONUS 2: An isosceles triangle has a base of 10 and two sides of 13. What other base can an isosceles triangle with sides 13 have and still have the same area? 24. Amy Ragsdale. Partial credit to Anita Dixon.
BONUS 3: See #15 above. Can you find 6 such integers? (Simple yes/no not enough. :-)) Yes: 90, 91, 91,93, 94, 95 (and 96), e.g. Amy Ragsdale. (Surprisingly [and amazingly!] you can find any number of consecutive non-prime integers!!!)
