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OG19-数学分册	If N is a positive odd integer, is N prime? (1) $$N = 2^{k} + 1$$ for some positive integer k. (2) $$N + 2$$ and $$N + 4$$ are both prime.
Magoosh	$$9^{k} x 27^{2k} =$$
Ready4	How many integers are there between integers i and k, inclusive? $k - i = 22$ There are 21 integers between, but not including, $i + 1$ and $k + 1$ .
Ready4	If k is a positive integer, is ${(\frac{1}{2})}^{k} > 0.125$ ? $k > 3$ ${(\frac{1}{2})}^{k - 1} < 0.25$
Ready4	What is the largest integer k for which $81^{k} < 3^{27}$ ?
Magoosh	The ratio of two positive numbers is 3 to 4. If k is added to each number the new ratio will be 4 to 5, and the sum of the numbers will be 117. What is the value of k?
Ready4	Three machines K, M, and P, working simultaneously and independently at their respective constant rates, can complete a certain task in 24 minutes. How long does it take Machine K, working alone at its constant rate, to complete the task?
Magoosh	Set K consists of all fractions of the form$${ x}\over({x+2}) $$where x is a positive even integer less than 20. What is the product of all the fractions in Set K ?
Ready4	In the $xy$ -plane, lines k and l intersect at the point (1,1). Is the $y$ -intercept of k greater than the $y$ -intercept of l? (1) The slope of k is less than the slope of l. (2) The slope of l is positive.
PREP07 Test 2	If q is a positive integer less than 17 and r is the remainder when 17 is divided by q, what is the value of r?(1) q > 10(2) $${q}={2}^{k}$$, where k is a positive integer.
300难题	Which of the following describes the set of all possible values of the positive integer k such that, for each positive odd integer n. the value of $$\frac{n}{k}$$ is midway between consecutive integers?
191031	4410= k√m，what is the least possible value of m?
Magoosh	If ak - b = c - dk, then k =
	Harvey teaches a certain number of biology students in 2 classes, K and L. He can divide the students in class K into 7 groups of n students each. He can divide the students in class L into 6 groups of p students each with 1 student left over. How many students are in class L ?(1) n = p(2) There are 5 more students in class K than in class L.
OG21 OG2022	One inch represents 20 miles on Map K and one inch represents 30 miles on Map L. An area of 3 square inches represents how many more square miles on Map L than on Map K?
Ready4	If $<font color='#FE8080'>k</font>$ is the average (arithmetic mean) of the first 8 positive multiples of 6 greater than 6, and if $p$ is the median of the first 8 positive multiples of 6 greater than 6, what is the value of $\tfrac{<font color='#FE8080'>k</font>}{p}$ ?
PREP07 Test 2	Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 6 hours and machine Y produces k bottles in 2 hours. How many hours does it take machines X and Y, working simultaneously, to produce 12k bottles?
OG18-数学分册	A positive integer is divisible by 9 if and only if the sum of its digits is divisible by 9. If n is a positive integer, for which of the following values of k is $$25 * 10^{n} + k * 10^{2n} divisible by 9 ?$$
300难题	For each positive integer k,let $$a_k$$= (1 +$$\frac{1}{k+1}$$). Is the product $$a_1$$, $$a_2$$...,$$a_n$$ an integer? 1. n +1 is a multiple of 3. 2. n is a multiple of 2.
PREP07 Test 2	Is m > k ?(1) 3m > 3k(2) 2m > 2k