Pebble lived 1/12 of his life as a small child and 1/6 more as a “youth”. Then he married Bloomie and lived happily 1/7 of his life plus 5 more years. Then they had a son, Nelius, whom, sadly, Pebble outlived by four years. Nelius lived to be 1/2 of Pebble’s final age. How old was Pebble when he died?
Set 06
Digits in Number in Exponential Form
How many digits are there in the number N if N = 213 · 59?
Paths to MISERABLE
Bonkers Calendar
We take you now to the world of Bonkers, which has a 7-month year. The ditty for remembering the number of days in each month is as follows:
Nineteen days hath Cucumber,
Strawberry too, and the number
Of days there are in Tiddlywinks
Is just the same as ’tis in Jinks,
Which is seven whole days more
Than the ten there are in Pinafore.
With the month of Collywobble
Diary makers have some trouble:
Thirteen days if year is even,
Forty-four if odd. Add Stephen,
Quite the least of Bonkers months,
In fact it’s sometimes called the runt, as
You can clearly understand,
Since it hath but four days and
Another two in years of Heaven.
(That’s if the year’s date ends in seven).
Strawberry too, and the number
Of days there are in Tiddlywinks
Is just the same as ’tis in Jinks,
Which is seven whole days more
Than the ten there are in Pinafore.
With the month of Collywobble
Diary makers have some trouble:
Thirteen days if year is even,
Forty-four if odd. Add Stephen,
Quite the least of Bonkers months,
In fact it’s sometimes called the runt, as
You can clearly understand,
Since it hath but four days and
Another two in years of Heaven.
(That’s if the year’s date ends in seven).
Your job, of course, is to find the order of those seven months, given the following additional information:
- There are 5 days in each week, in this order: Joyday, Funday, Laughday, Blissday, and Workday.
- In the year 17 a.b. (after bliss), the Queen of Bonkers went on holiday on Funday, Strawberry 17th, and returned just over 7 weeks later, on Blissday, Tiddlywinks the 8th.
- In the year 19 a.b. there were exactly 10 weeks from Collywobble 41st to Pinafore 7th.
- Collywobble is the first and most important month in the year.
Robins Here and There
Looking out your classroom window, you notice a group of robins on the ground and a second group in a tree. You also notice that if one bird flies from the tree to the ground, the number of robins in each group will be equal. But if one bird flies from the ground to the tree, then the group in the tree will have twice as many robins as the group on the ground. How many robins are there in each group?
Weight of $1000 in Dimes
Ten dimes weigh an ounce. A roll of dimes is $5.00. How much does $1000 in dimes weigh?
Dividing Soda (24; 5, 11, 13)
You have a cola to divide with two friends. It’s a large cola, which is 24 ounces, in a large paper cup. You find three other cups that hold 5, 11, and 13 ounces respectively. How can you pour the cola around so that you make three equal portions? (Neglect the ice.)
Magic Square with Primes
Construct a magic square made up of the primes 5, 17, 29, 47, 59, 71, 89, 101, and 113, so that all rows, columns, and diagonals have the same sum.
Rectangle, Make Boxes
Here is a piece of artist’s cardboard that has been lightly marked with squares as shown. Show how to cut this cardboard into three pieces, each of which can be folded up into a cubical box (without a lid).
