NOTE: Newest BTs in red, Bonuses in blue, comments in green, updates in purple.
- (This one is actually designed for the brand new subscribers who are Math Buddy volunteers (with young children) in Springfield, but of course anyone may answer!) Find the next 3 entries in this sequence: 1, *, 2, **, 3, ***, 4, ____, ____, ____.
- What’s the smallest whole number that’s a multiple of 1,2,3,4,5, and 6?
- Find the only pair of whole numbers whose product is one million, yet neither whole number has a zero in it.
(Another one for the Math Buddy volunteers (see #1) but I think this one might be fun and/or challenging for any of us! For full credit, also list the numbers found.- What is the largest whole number such that 7 times it is still less than 1000?
- List one number between 1.999 and 2. If this is not possible, mark NP and tell why.
- (A repeat? One of my classic favorites!) A man buys a horse for $60, sells it for $70, buys it back for $80, and sells it one last time for $80. How much money, if any, did the man make on the series of transactions?
- What whole number less than 50 has the largest number of factors?
- Frank Farmer bought 2568 inches of fencing. He immediately used five yards for a small animal pen. How many feet of fencing were left after that?
- How many gallons of gasoline could be saved in one year by a fuel-efficient (non-electric :-)) car getting 32 miles per gallon over a gas-guzzler getting 14 mpg? (Assume average yearly mileage is 9000 miles.)
- From a square of side 1, a new square is formed by connecting the midpoints of each side. What is the area of the new square?
- A pizza company advertises that its 18-inch (diameter) party pizza has more pizza that two medium (12-inch) pizzas. Are they right?
- You have four colored chips – 2 black, 1 yellow, and 1 white. The are in a horizontal line, left to right. The white chip is directly to the left of a black chip, and neither black chip is on an end. How are the colored chips aligned?
- See #15. Same set-up, but the chips are now 2 red, 1 yellow, and 1 green. The yellow chip is not on an end, and the two ends are different colors. The red chips are not adjacent, and the green chip is on the far right. How are the chips aligned now?
- (These last two are also repeats, AND they are added in honor of the MSTA subscribers!) Find the largest fraction that a) has a denominator of 17, and b) when added to 1/3, keeps a sum less than 1.
- If a certain book is 4th from the left on a bookshelf, and also 6th from the right on the same shelf, how many books are on the shelf?
Bonus #1 (a repeat). If you were spelling out the whole numbers, how far would you have to go before you first used the letter a ?
Bonus #2 See #4 above. Can you design something similar to above (or entirely different if you choose) that has more hidden numbers than the figure above does? (I believe the hidden conditions is that they all must be connected.)
Bonus #3 See #8 above. Can you find the smallest whole number with exactly 10 factors?
Bonus #4: See # 11 above. What if the original square has side x ?
Bonus #5: Arrange these four numbers from smallest to largest. (If any are equal, put = signs between them) π, 3.14, 22/7, 3.1416
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