General Questions
GEOMETRY
ALGEBRA
AMC8
Easy Stuff B)
100
15+73+65
153
100
How many sides does a nonagon have?
9
non means nine
100
Can this be simplified?
51x+49y
no
different terms
100
If February is a month that contains Friday the 
, what day of the week is February 1?
friday=13
-2weeks=-14
-1 of Feb=Friday
-1 of Feb+2=Friday+2=Sunday
ans: Sunday
or mod 7
100
What is the coefficient of x?
(x+1)^2
x^2+2x+1
ans: 2
200
Solve:
7(13+4)-2^2(6\3)
7*17-8
ans:111
200
What is the area formula for a trapezoid?
200
Find the mean, mode, and range:
17, 17, 43, 65, 78, 2, 58,
mean: 40
mode: 17
range: 76
200
If there are 2 rectangles with a perimeter of 50, what is the difference between the largest and smallest possible areas of the rectangles?
largest: 12*13=156
smallest: 1*24=24
156-24=132
200
x+13+2x=y
y+32+32+5x=?
8x+77
300
3((8*2)-4)+6
42
300
If a triangle is equilateral with a side length of 6 and height of 12, what is its area?
36
300
If 13x=2024 what is x? Round to the thousandth
106.5263
300
When Yunji added all the integers from 
to 
, she mistakenly left out a number. Her sum turned out to be a square number. What number did Yunji leave out?
9
300
Solve:(3-i)(3+i)
3^2-3i+3i-i^2
i^2=-1
9-(-1)=10
ans: 10
400
What is the prime factorization of 1729?
7*13*19
400
If a triangle has sides 3, 4, and 5, what kind of triangle is it?
a) acute
b) right
c) obtuse
b) right
400
What values of x satisfy the equation?
(x-1)(x-sqrt169)=0
This is multiplication so one of the terms must equal 0.
x-1=0, x=1
x-sqrt169=0, x=13
ans: 1, 13
400
Consider these two operations:
What is the value of 
100
400
Name as many uses of Pascal's Triangle as you can.
1. Row n is equal to 11^n
2. The sum of row n is 2^n
3. Binomial theorem: For each row n, the numbers are the coefficients of the terms in (x+y)^n
4. Hockey stick identity: for each right-down diagonal, the sum of the numbers within that line will equal the number left-down diagonal of the lowest number.
5. Pascal's identity: For any 2 numbers next to each other in the same row, the number diagonal down of both numbers is equal to those numbers' sum.
500
If I flip one coin, there is a 50/50 chance of heads or tails. I flip 35 coins: 14 coins 5 times, and the rest 90 times. What is the probability of getting heads?
The probability doesn't change because each coin has a 50/50 chance. So if 35 coins all have a 50/50 chance, the total chance is unchanged.
ans: 50%
500
If a circle has a diameter of 18, what is the area?
Circle area: r^2
r=d/2=18/2=9
(9)^2pi=81pi
ans: 81pi
500
(x+2)^2(x-4)(x+10) =0
what are all possible values of x?
-2, 4, -10
500
In how many ways can the letters in 
be rearranged so that two or more 
s do not appear together?
24
500
Let 
45