NOTE: Newest BTs in red, Bonuses in blue, comments in green, updates in purple.
- Greenland is the largest island in the world. What was the largest before Greenland was discovered?
- 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).
- TRUE or FALSE? If x > 0, then a square of side x will always have less area than a circle of radius x.
- Find the exact value of (123,456,789)2 – (123,456,789)*(123,456,788) Note: Read carefully. There are no typos.
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.
6. 216 – 1 is divisible by four primes. Find them.
7. You are running a race and just passed both the fourth and third place runners. What place are you in now?
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?
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?)
10. What’s (numerically) special about these three dates this year: Jan 22, Feb 11, Nov 2 ? (Several ‘correct’ answers?)
11. Consider the integers from -10 to 10. Which is larger, their sum or their product?
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?
13. What are the two missing letters? I V X L __ __ M
14. What is a particular number if 1/2 of it plus 2/3 of it add to 42?
15. Can you find 5 consecutive (positive) integers, none of which are prime?
BONUS 1: See #3 above. How (if at all) does the relationship change if the word radius is replaced by the word diameter?
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?
BONUS 3: See #15 above. Can you find 6 such integers? (Simple yes/no not enough. :-))
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