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half of half of half... of cake
FrancoGiosefAG   4
N an hour ago by Spacepandamath13
Victor and Vicky bought a cake and ate it in the following way: One morning Victor ate half of the cake, in the evening Vicky ate the remaining half of the cake. This process continued in the same way for $4$ days, each eating half of the cake they found. On the morning of the fifth day, Victor ate what was left of the cake. What proportion of the cake did Victor eat in the $5$ days?
4 replies
FrancoGiosefAG
Jun 9, 2025
Spacepandamath13
an hour ago
Exponent of 1 and -1
Silverfalcon   29
N an hour ago by melloncandy
$(-1)^{5^2} + 1^{2^5} =$

$\textbf{(A)}\ -7 \qquad
\textbf{(B)}\ -2 \qquad
\textbf{(C)}\ 0 \qquad
\textbf{(D)}\ 1 \qquad
\textbf{(E)}\ 57$
29 replies
Silverfalcon
Oct 22, 2005
melloncandy
an hour ago
9 Favorite topic
A7456321   200
N an hour ago by melloncandy
What is your favorite math topic/subject?

If you don't know why you are here, go binge watch something!

If you forgot why you are here, go to a hospital! :)

If you know why you are here and have voted, maybe say why you picked the option that you picked in a response) :thumbup:

CLICK ON ME YOU KNOW YOU WANT TO

Timeline
200 replies
A7456321
May 23, 2025
melloncandy
an hour ago
Factorial fraction
Silverfalcon   29
N an hour ago by sv_legend
$\frac{(3!)!}{3!} =$

$\text{(A)}\ 1 \qquad \text{(B)}\ 2 \qquad \text{(C)}\ 6\qquad \text{(D)}\ 40\qquad \text{(E)}\ 120$
29 replies
Silverfalcon
Nov 21, 2005
sv_legend
an hour ago
Private Forum for Geometry Study
fossasor   232
N 2 hours ago by maxd3
Hi all,

I've recently been trying to improve my skill at competition math, but I consistently struggle with geometry. Since doing math is more fun and motivating with others, I've created the GeoPrepClub. This is a private forum to increase geometry skill and help others increase theirs: we'll have problems, marathons, and much more. This is similar to forums such as "AMC8 Prep Buddies" by PatTheKing, but is focused exclusively on this subject. We welcome all skill levels and hope those with greater mathematical knowledge can assist those lacking in it.

If this sounds interesting to you, sing up below and I'll let you know once I've added you. Although the forum may not have much now, that's because I've only just released it, and I hope once I build a community, It will be a very useful and motivating space for those interested in improving their geometry. The link is
here.

I look forward to seeing you all in the forum!
232 replies
fossasor
Jun 10, 2025
maxd3
2 hours ago
problem that i thought of while eating kfc on a train
iwastedmyusername   16
N 4 hours ago by SpeedCuber7
Let $F_n$ be the $n$th Fibonacci number. What is the value of $\sum_{i=1}^{\infty} \frac{F_i}{4^i}=\frac{F_1}{4}+\frac{F_2}{16}+\frac{F_3}{64}+...$?
16 replies
iwastedmyusername
Jul 2, 2025
SpeedCuber7
4 hours ago
Simple Trig Problem
giratina3   1
N Yesterday at 8:53 PM by fruitmonster97
What is the number of real solutions to the equation $$\frac{m}{100} = \sin m$$
Hint
1 reply
giratina3
Yesterday at 8:35 PM
fruitmonster97
Yesterday at 8:53 PM
Worst math problems
LXC007   72
N Yesterday at 8:41 PM by giratina3
What is the most egregiously bad problem or solution you have encountered in school?
72 replies
LXC007
May 21, 2025
giratina3
Yesterday at 8:41 PM
Troll Problem
giratina3   2
N Yesterday at 8:35 PM by MathPerson12321
If $\frac{a}{a - 1} = \frac{b^2 + 2b - 1}{b^2 + 2b - 2}$, then what does $a$ equal in terms of $b$?

Hint 1
Hint 2
Hint 3
2 replies
giratina3
Yesterday at 8:28 PM
MathPerson12321
Yesterday at 8:35 PM
Geometry
jennifreind   3
N Yesterday at 8:24 PM by OWOW
Let $D$ the intersection of the bisector of $\angle C$ of $\triangle ABC$ and $\overline{AB}$. Proof that $\overline{CD}=\frac{2ab}{a+b} \times \cos \frac{C}{2}$ for $a= \overline{BC}$, $b=\overline{CA}$, $c= \overline{AB}$
3 replies
jennifreind
Aug 8, 2023
OWOW
Yesterday at 8:24 PM
a