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Month: Problem
Past Problems Of The Month
November: 2011
Problem:
Every year the President of the US pardons a turkey and it goes to a public farm called Frying Pan Park, Herndon, VA. Which President is believed to be the first to pardon a turkey and start his annual tradition?
A. President Andrew Jackson
B. President Millard Fillmore
C. President Harry Truman
D. President Warren Harding
October: 2011
Problem:
At the Halloween Ball, every wizard brought at least one black cat. The organizers want to know how many cats and wizards attended. Unfortunately, the only record they have is a group photo taken as the photographer tripped, and all it shows is feet and paws. A ghost flying over the Ball also snapped a photo but it was midnight and all he captured was the total number of eyes, glowing in the dark. If the photographer counted 196 feet and paws and the ghost tallied 126 eyes, how many wizards and how many black cats were at the Ball?
Brain Teaser:
'Children Of The Corn' is yet another of King's
short stories that was made into a movie. What was the name of the
character that organized the children and spoke for the never seen,
'He who walks behind the rows?'
a. Malachi
b. Jeremiah
c. Isaac
d. Elijah
September: 2011
Problem:
Triange DEC is inscribed in rectangle ABCD. If side AB=30 units, side EC=17 units, and side AE=side EB, what is the area of triangle DEC?
a. 60 square units
b. 120 square units
c. 136 square units
d. 240 square units
e. 255 square units
Brain Teaser:
I herald the darkness which descends on all creatures; You will know my approach by moans and wracked features. I visit the hippo, hyena, and horse, But never go near snails and spiders, of course. I would circle the glove, leaping one to the other, Should all the world's people ever clasp hands together. What am I?
August: 2011
If ABCD (shown below) is a parallelogram, what is the measure of angle ABC?
a. 7 Degrees
b. 68 Degrees
c. 78 Degrees
d. 102 Degrees
e. 112 Degrees
July: 2011
A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
A. 48
B. 32
C. 24
D. 18
E. 12
June: 2011
With Just 3 straight lines through the zed below, form the largest possible number of triangles.
-
May: 2011
The square ABCD touches the circle at 4 points. The length of the side of the square is 2 cm. Find the area of the shaded region.
April: 2011
A circular swimming pool with a diameter of 28 feet has a deck of uniform width built around it. If the area of the deck is 60(pi) square feet, find its width.
March: 2011
Cut a perfect hexagon into 5 peices that fill / fit together to form a square.
February: 2011
It took Marie 10 minutes to saw a board into 2 pieces. If she works jst as fast, how long will it take her to saw another board into 3 pieces?
January: 2011
Find the angle " a " in the diagram below (solve this puzzle using just basic geometry, no sines or cosines allowed).
December: 2010
The circle is tangent to all three sides of the right triangle. Solve for " r " and no trig required.
November: 2010
A small boat is floating in a swimming pool. You have a rock which you will throw into the pool or put into the boat. Which is true?
a) The water in the pool rises higher when the rock is put in the boat
b) The water in the pool rises higher when the rock is put into the pool
c) The level would rise the same either way
October: 2010
Find the hidden nine letter word in the grid below. You may move adjacently in any direction including diagonally.
September: 2010
What letter is next in this sequence?
O, T, T, F, F, S, S, E, ___
August: 2010
Using four different colors, shade this map so that no adjacent borders have the same color.
July: 2010
What English word is nine letters long, and can remain an English word at each step as you remove one letter at a time, right down to a single letter?
June: 2010
What is the next number in the sequence: 32 - 35 - 40 - 44 - 52 - 112 - ? (Hint: there are only nine numbers in this sequence, you have ben given the first 6).
May: 2010
Complete the series. 9 = 4, 21 = 9, 22 = 9, 25 = 10, 8 = 5, 7 = 5, 99 = 10, 100 = 7, 16 = ?, 17 = ?
April: 2010
A fishing boat is docked in the harbor. There is a rope ladder hanging over the side with its end touching the water. The rungs of the ladder are 1 meter apart and the tide is rising at 50 centimetres an hour.
At the end of 6 hours, how many of the rungs will be covered?
March: 2010
Why are some letter above the line, and the rest below the line?
February: 2010
John had a bag of oranges to share with two friends. To the first of his friends, he gave half of the oranges plus one more. To his second friend he gave half of the remaining oranges plus one more. By this time, John had one orange left. How many did he start with?
January: 2010
Problem:A rectangle with sides of the ratio phi is called a golden rectangle. If you make such a rectangle smaller by removing a square formed by the smallest side, the sides of the remaining smaller rectangle have the same ratio of phi and so on. What is the value of phi?
December: 2009
Using four unique integer values from 0 thru 9 and any combination of the operators x / + - , create two different equations which = 44
November: 2009
A perfect cube that measured one foot on a side has been expanded such that the cube now has twice the surface area that it originally had. Find the volume of this larger cube.
October: 2009
Determine A, B, C, D so that the following equation works:
ABCD * 4 = DCBA
September 2009
A car travels at 60 miles per hour over a certain distance. The car makes the return trip over the exact same distance at 30 miles per hour. What is the average speed of the car?
August: 2009
If a chicken and a half can lay an egg an a half in a week and a half, how many eggs would this chicken lay in a month and a half (6 weeks)?
July: 2009
How many R's?
Complete the sentences written below.
Do not use numbers like 1, 2, 3, and so
on ...
In the sentence below are .............. R's.
In the upper sentence there are ............. .
R's.
June: 2009
Problem:Take a pencil and draw lines to join each white letter to its black counterpart (m to m, a to a, etc.), without any line crossing another line.
Download printable verions by clicking here.
May: 2009
Problem: Use 5 0's and any mathematical operators to get 120?
April: 2009
Problem: "How much will one cost?" "25 cents"
"How much will fifteen cost?" "50 cents"
"OK then, I'll take one hundred and sixteen"
"Thank you, that will be 75 cents please"
Explain.
March: 2009
Problem: Using the document that you can download by clicking Here. Arrange 7 equilateral pentagons such that each pentagon is touching 3 or more of its neighbors without overlapping any surfaces. (Contact by point or line only)
February: 2009
Problem: Four identical balls on four different tracks are released simultaneously. Which of the tracks (bent, straight, circular, or cyloidal) will deliverthe ball to the end of the slope fastest?
January: 2009
Problem: Two semicircles are inscribed in a square with side 8 m, as shown. Approximate the area of the shaded region to the nearest tenth of a sq cm. Use the approximation 3.14 for p.
December: 2008
Problem: How many 3 digit numbers have different digits in descending order such as 73 or 960?