Geometry
Number Theory
Algebra
Logic/Puzzles
RANDOM!
100
Area of a trapezoid:
Height h is 2, Bases a and b are 3 and 4.
7
100
What is 
equal to? Express your answer as an integer.
108
100
3x+2=14
solve for x
x=4
100
What comes next?
1, 1, 2, 3, 5, 8, 13, __
21
100
Write out 1/9 as a decimal
0.11111...
0.1 repeating
200
Two consecutive angles of a triangle are congruent - what is the type of this triangle?
Isosceles
200
John is playing a game in which he tries to obtain the highest number possible. He must put the symbols plus, times, and minus in the following blanks, using each symbol exactly once:
2__4__6__8
John cannot use parentheses or rearrange the numbers. What is the highest possible number that John could obtain?
46
2-4+6*8
200
Line l is defined by 3y+12x=5. Line n is perpendicular to line l in the xy-plane. What is the slope of line n?
1/4 or 0.25
200
There are five gears connected in a row, the first one is connected to the second one, the second one is connected to the third one, and so on.
If the first gear is rotating clockwise what direction is the fifth gear turning?
Clockwise
200
one = 3
two = 3
three = 5
four = ?
4
300
Take triangle ABC, AB = 6, BC = 12, then...
_<AC<_
6<AC<18
300
Is 15693 divisible by 9?
NO
Divisbility rule of 9: sum of digits divisible by 9
300
y is less than or equal to x
y is less than or equal to -x
Which of the following ordered pairs is a solution to the system of inequalities above?
A.(1,0)
B.(-1,0)
C.(0,1)
D.(0,-1)
D
300
Fruity Totals Problem
Banana = 10
Green Apple = 12
Plums/Blueberries = 7
Cherries = 1
300
Area of a regular hexagon with side length 1
3sqrt(3)/2
400
(CALCULATOR PERMITTED) Three circles of radius 1 are externally tangent to each other and internally tangent to a larger circle; what's the area in the middle of the three circles?
pi/2 - √2
0.1566
400
How many multiples of 7 are between 83 and 229?
21
400
Expand (a+b+c)2
a2+b2+c2+2ab+2bc+2ac
400
Is x3 > x2?
Statement 1: x > 0
Statement 2: x < 1
No
400
MATH 24:
13,7,10,3
13-7=6
10x3=30
30-6=24
500
A semicircle has diameter 
and chord 
of length 
parallel to . A smaller semicircle with diameter on and tangent to is cut from the larger semicircle, as shown below. Find the area of the figure.
(Hint: the problem does not define where the chord is)
32pi
500
Simplify √36963
111√3
prime factorize, trial/error
500
Solve the following equation:
x=0
500
The host, Monty Hall, offers you a choice of three doors. Behind one is a sports car, but behind the other two are goats.
After you have chosen one door, he reveals one of the other two doors behind which is a goat (he wouldn't reveal a car).
Now he gives you the chance to switch to the other unrevealed door or stay at your initial choice. You will then get what is behind that door.
You cannot hear the goats from behind the doors, or in any way know which door has the prize.
Should you stay or switch? Support your answer.
Switch.
The other two doors had a combined 2/3 chance; now one door is revealed to be a goat, the other door has a 2/3 chance. Your choice always have 1/3 chance of a car.
500
Parliament contains a proportion p of Labour members, who are incapable of changing their minds about anything, and a proportion 1-p of Conservative members who change their minds completely at random with probability r between successive votes on the same issue. A randomly chosen member is noticed to have voted twice in succession in the same way. What is the probability that this member will vote in the same way the next time? (expressed in terms of p and r)
Hint: draw a diagram
p+(1-p)(1-r)(1-r) / 1-(1-p)r