Second nine weeks bell ringers
10/31 Reversing the digits in Mona’s age gives her
mother’s age. The difference in their ages is 27. The sum
of the digits in each age is 5. What are their ages?
11/1 Get a calculator!! Find 33^2, 333^2, and 3333^2.
Without computing, find 33,333^2.
11/2 Draw two more squares so that each dot is
enclosed in only one region.
11/3 Arturo has 10 pairs of black socks, 10 pairs of white
socks, and 10 pairs of blue socks in a drawer. In a power
failure, he must select a pair of socks. How many socks
must he take to be sure he has a matched pair?
11/9 What is the maximum area that can be enclosed by
44 feet of fencing?
11/10 In how many ways can you shade half the figure?
Do not count repeated patterns caused by turns or flips.
11/15 Legend says this magic square was seen on the
back of a tortoise by a Chinese emperor. Explain why it is
a magic square.
11/16 Hector sawed a 10-foot board into equal pieces.
Each cut took 2 ½ minutes. He spent 10 minutes sawing
and no wood was left over. How many pieces were cut
from the board?
11/17 Ramwong is a traditional Thai circle dance. If five
dancers are in a circle, how many arrangements of the
dancers are possible? Arrangements obtained by turning
the circle are the same.
11/21 Japanese flower arrangements are made with a
flower, a leaf, and a branch. List all possible
arrangements if you use one of each of the following:
l
flowers: iris, tulip, lily
Leaves: ivy, hosta
Branches: oak, pine, maple
11/30 Divide the grid into 8 small squares. They do not
need to be congruent. No space should be left over.
Make a 5x5 grid
12/1 Draw 2 number lines, numbered from 0-15, that
form a right angle at 0. Then draw all lines that connect
two numbers that have a sum of 16. Explain the results.
12/5 In a game, several people are standing in a circle.
They are evenly spaced and numbered in order. The
ninth person is directly opposite the nineteenth person.
How many people are there?
12/6 At a health club, the annual fee is $50, plus a dollar
per swim. A nonmember pays four dollars for each
swim. After how many swims would it be cheaper to be
a member?
12/7 Prime numbers that differ by 2 are called twin
primes. For example, 3 and 5 are twin primes. Find all
pairs of twin primes less than 50.
12/8 A book is opened and the product of the page
numbers is 2550. What are the pages to which the book
is opened?
12/12 What is the maximum whole number area that
can be enclosed by 89 feet of fencing?
12/14 What is the 115th odd number?
12/15 A circle is to be cut into pieces. Using four
straight cuts, what is the greatest number of pieces
possible if the pieces can be any size?
12/19 The gas tank on Jeremy’s car is 7/8 full. If 2
gallons have been used since the tank was filled, how
many gallons are in a full tank?
12/20 Felicia is starting a club. She is the only member
this month. Her plan is to have each member find two
new members each month. How many members will
there be after 6 months?
12/21 The shaded area must be divided into five equal
parts. How can it be done?