Hard Math Problems

Welcome to the "hard" math page! Here you will test your ability on how smart and good you are in math. There are ten problems, the first five will be easier than the last five. There's also a bonus problem. To get the answer,  e-mail us at Mathguy0@yahoo.com. Then, you have to answer a math problem from Steven and can get  the answer for bonus if you answer the problem Steven gave you correctly. Have fun!!!

First Five                                                    Bonus                                                             Last Five

First Five

1.    One day, a person went to horse racing area, Instead of counting the number of human and horses, he instead counted 74 heads and 196 legs. Yet he knew the number of humans and horses there. How did he do it, and how many humans and horses are there?

2.    y = log x
If y = 10, then what is x?

3.    10*9*8*7*6*5*4*3*2*1 = 10!
Can this be true?! Why or why not?

4.    If 1/2x +1/2(1/2x + 1/2(1/2x +1/2(1/2x + ... = y,
then x = ?

5.    What place in this world can have their temperatures Fahrenheit and Celsius equal?

Last Five

6.    If x*x + 2x - 35 = 0,
then x = ?

7.    If ax*x + bx +c = 0,
then what is x?

8.    What is the area of a regular hexagon with sides 1 in. long?

9.    You have two block of clay in cube form and the edges are 10 cm. How many spheres with a radius of 5 cm can you make with that amount of clay?

10.   Every month, a girl gets allowance. Assume last year she had no money, and kept it up to now. Then she spends 1/2 of her money on clothes, then 1/3 of the remaining money on games, and then 1/4 of the remaining money on toys. After she bought all of that, she had \$7777 left. Assuming she only gets money by allowance, how much money does she earn every month?