Determine the largest number of boxes of dimension 2 x 2 x 3
that can be placed inside a box 3 x 4 x 5.Answer: 4 boxes

Determine the largest possible number of acute angles
in a convex polygon.

Answer: 3

1/2 + 1/2² = 3/4
1/2 + 1/2² +1/2³ = 7/8
1/2 + 1/2² + 1/2³ + 1/2⁴ = 15/16

Use this pattern of numbers and sums to help
determine the fractional answer for:
1/2 + 1/2² + 1/2³ + 1/2⁴ + 1/2⁵ + 1/2⁶ + 1/2⁷ + 1/2

Answer: 255/256

A and B are two different numbers selected from the first 50
counting numbers, 1 to 50 inclusive.
Name the largest possible value for

Answer: 99

Find the total score in this figure
if triangles count 3, quadrilaterals count 4,
pentagons count 5, and hexagons count 6

Answer: 54

Sue has three pairs of slacks: red, blue and green.
She also has two vests: red and blue, along with
three silk shirts: red, green and white.
If Sue picks an outfit at random,
what is the probability that the outfit will be red?

Answer: 1/18 (or 5.555%)

Chelsea had made six of seventeen free-throw attempts.
How many consecutive free throws must she now make to raise    
her percentage of free throws made to exactly 50 percent?Answer: 5

Given rectangle ABCD with length twice the width;
midpoints E, F, G, and H; and perimeter equal to 48 units.
Find the area of EFGH.

Answer:  64 units²

Container A is half full of water.  Container B will hold 9 cups of water.
When the contents of container A is poured into container B, container B is 2/3 full.
How much water will container A hold?

Answer: 12 cups

A certain exam containing 12 questions was graded
by giving 10 points for each correct answer and
then deducting 5 points for each incorrect answer.
David attempted all 12 questions, leaving no question
unanswered, and scored a total of 75 points.
How many wrong answers did he have?

Answer: 3

A large box is 150 cm long, 57 cm wide, and 54 cm high.
Small boxes are 50 cm long, 19 cm wide, and 18 cm high.
How many small boxes will fit inside the large box?

Answer: 27

At a carnival, Samantha plays a dart game that has a $100 gift certificate prize.
To win the game, Samantha has to hit a 1-inch-radius circle
on a 9-inch-radius circle dart board.
If the dart is equally likely to hit anywhere on the board,
what is the probability (in percentage) of Samantha's winning?

Answer: 1.23%

On the first day of school, everyone ran to the buses.
In all the excitement, five students forgot their bus numbers.
The bus numbers were 4, 15, 18, 27, and 30.
The students managed to remember the following facts about their buses:
Kyle knew that he rode on a bus with a 1 in the number.
Bobbi knew that her bus number was divisible by 3.
Carrey knew that the sum of the digits of her bus number was 9
and that the number was greater than Bobbi's number.
Leah knew that her bus was yellow.
Jen knew that her bus number was equal to 2 times Kyle's bus number.
Please help the students get on the right buses.

Answer:  Kyle (15), Bobbi (18), Carrey (27), Leah (4), Jen (30)

Jane's aquarium contains goldfish, turtles, and snails.
There are 16 legs, 10 shells, and 36 eyes in the aquarium.
How many creatures of each type are in the aquarium?
(Hint: Snails have two eyes, one shell, and one leg.)

Answer:  8 goldfish, 2 turtles and 8 snails

Some friends are playing marbles.
The marbles include 36 tigereyes, 42 glassies, and 54 smoothies.
Each friend leaves with the same number of each type of marble.
What is the largest number of friends who could have played?

Answer:  6

About 3% more boys than girls are born each year.
Out of 100 babies, how many boys and how many girls
would you expect?

Answer:  52 boys and 48 girls  OR  51 boys and 49 girls

Figures I, II, and III below are squares.
The perimeter of I is 12 and the perimeter of II is 24.
Find the perimeter of III.
 Answer:  36

A Boy Scout was walking south in the woods.
He made a left turn and walked a little bit farther.
Then he made another left turn and walked again.
He made another left turn and walked, then he made one more left turn.
In which direction is he now walking?

Answer:  South

A 14-cm pizza with everything on it costs $15.75 at restaurant A,
and a 16-cm pizza with everything on it costs $19.35 at restaurant B.
Assuming these two pizzas are of the same thickness and that the toppings
are equivalent, which pizza is the better deal?

Answer:  16-cm pizza

How many terms are there in the following sequence of numbers?
1, 8, 15, 22, ..., 113

Answer: 7

How many different 4-digit numbers have the same digits as 1993?
Answer: 11 numbers other than 1993

Which of the four numbers in the array doesn't belong?  Why?
23    20
25    15

Answer:  Any of these numbers could be defended as the answer here.

What is the probability of rolling an 11 as the sum of numbers shown on the top faces of two
regular (six-sided) number cubes, when the cubes have the following numbers on their faces?
cube 1:  0, 1, 6, 7, 8, 9         
cube 2:  1, 2, 10, 10, 10, 11

Answer:  5/36 (or 0.139 or 13.9%).

A theater owner took in $188 from 82 customers one afternoon.
Adult tickets cost $3, and children's tickets cost $2.
How many adults attended?

(Answer:  24)

Find the smallest of the five consecutive numbers
whose sum is 100.

(Answer: 18)

Alex can run around a circular track in 40 seconds.
Connie running in the opposite direction meets Alex every 15 seconds.
What is Connie's time to run around the track,
expressed in seconds?

(Answer:  24 seconds)

The 4 X 4 magic square shown below has four places filled in.
Use the rest of the integers from 1 to 16 each only once,
so that each row, each column, and both diagonals add to 34.

Answer:

The perimeter of a rectangular room is 78 feet.
One side measures 21 feet.
What do the other sides measure?

(Answer: 21 feet, 18 feet, and 18 feet)

Claude has 3 wigs, 4 sets of eyeglasses, and 2 sets of mustaches.
How many different disguises can he make using these items?

(Answer:  24)  

Assume a geoboard contains 25 pegs spaced evenly in a square grid.
How many different squares can you form with a rubber band on this geoboard?
(Answer: 20)

The five tags shown[3][6][2][5][1] are placed in a box and mixed.
Three tags are then drawn out one at a time.
If your score is the sum of the numbers on the three tags drawn,
how many different scores are possible?
What are the possible scores?

(Answer: 60 -- 12 different numbers with each of these tags in the hundreds position)

What is the smallest positive integer,
which is itself divisible by every integer from 1 to 12 inclusively?

(Answer: 27, 720)

It takes 852 digits to number the pages of a book consecutively.
How many pages are there? 
How many times is the digit 7 printed?
(Answer: 320 pages with 62 of the digits a 7)

If three numbers a, b, and c are in the ratio a:b:c = 3:1:5,then what is the value of

(Answer: 9/19)

Three sailors come upon a pile of coconuts.
The first sailor takes half of them plus half a coconut.
The second takes half of what remains plus half a coconut.
The third sailor also takes half of what remains plus half a coconut.
Left over is exactly one coconut, which they toss to a nearby monkey.
How many coconuts were in the original pile?

(Answer: 15)

Allan has a new car with (obviously) four new tires and a new spare tire.
He rotates his tires so that after driving 100,000 miles every tire
will have been used for the same number of miles.
For how many miles will each tire be used?

(Answer: 80,000 miles)