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Ready4	How many different prime numbers are factors of the positive integer $p$ ? (1) Four different prime numbers are factors of $p^2$ . (2) Five different prime numbers are factors of $2p$ .
Ready4	If $5^{17}\cdot 9^9=3\cdot 15^m$ , what is the value of $m$ ?
Ready4	If $8^{10}\cdot 5^{29}=2\cdot 10^k$ , what is the value of $k$ ?
Ready4	If $0 < y < z < 1$ , which must be less than 1? I. $\frac{y}{z}$ II. $\frac{z}{y}$ III. $yz$
Ready4	If $0 < r < s < 1$ , which must be greater than 1? I. $rs$ II. $r+s$ III. $\frac{s}{r}$
Ready4	If $0 < p < 1 < q < 2$ , which must be greater than $1$ ? I. $q-p$ II. $\frac{q}{p}$ III. $pq$
Ready4	A car dealership offers two payment plans for an old model on discount clearance. The first plan is a down payment of 10% of the car`s original price and 5 equal monthly payments of 5% of the original price. The second plan is a down payment of 5% of the original price and 10 equal monthly payments of 4% of the original price. The cost of the first plan is what percent cheaper than the cost of the second?
Ready4	If $n = 3\cdot 4\cdot p$ , where $p$ is a prime number greater than 3, how many different positive non-prime divisors does $n$ have, excluding 1 and $n$ ?
Ready4	The outer diameter of a copper pipe is 10 units, and the diameter of the inside of the pipe is 6 units. If the copper pipe is 3 units long, how much copper (in cubic units) was required to make this pipe?
Ready4	If $a$ , $b$ , and $c$ are all positive integers and $a\neq c$ , is $\frac{b}{ac}$ an integer? (1) $ba=5$ (2) $b=a+c$
Ready4	A quantity of substance weighing 2.83 milligrams, rounded to the nearest hundredth of milligram, was sold according to the latest market price per milligram. The sale totaled $18.66, rounded to the nearest cent. The actual price used in this sale, in dollars per milligram, must have been between
Ready4	Bill went shopping for fruits and vegetables. He purchased a number of potatoes, onions, and lemons in a ratio of $1:3:5$ , respectively. How many potatoes did Bill buy? (1) Bill bought a total of $27$ potatoes, onions, and lemons. (2) Bill bought $9$ onions.
Ready4	If $x(p+q)=x$ and $x \ne 0$ , which of the following must be true?
Ready4	If $n-rs=n$ and $r\ne 0$ , which of the following must be true?
Ready4	The ratio of the number of minutes Shanaya talked on her cell phone in March to the number of minutes she talked on her cell phone in April is $\frac{6}{5}$ . If she had talked on her cell phone 60 more minutes in March, the ratio of minutes talked in March to minutes talked in April would have been $\frac{3}{2}$ . How many minutes did Shanaya talk on her cell phone in April?
Ready4	The ratio of the regular price of a sweatshirt to the regular price of a sports cap is $\frac{5}{3}$ . If the sports cap is discounted $\$2$ , the ratio of the regular price of a sweatshirt to the discounted price of the sports cap would become $\frac{2}{1}$ . What is the regular price of the sweatshirt?
Ready4	The ratio of male students to female students in an art class is $\frac{4}{5}$ . If $3$ more female students join the class, the ratio of male students to female students would become $\frac{2}{3}$ . How many male students are in the art class?
Ready4	If $m$ is the sum of odd integers from $35$ to $65$ , inclusive and $n$ is the number of odd integers from $35$ to $65$ , inclusive, what is $m+n$ ?
Ready4	If $s$ is the sum of odd integers from 40 to 60, inclusive, and $t$ is the number of odd integers from 40 to 60, inclusive, what is $s-t$ ?
Ready4	If $j$ is the sum of even integers from $30$ to $70$ , inclusive and $k$ is the number of even integers from $30$ to $70$ , inclusive, what is $j-k$ ?