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190207 a=x+$$\frac{1}{x}$$,b=x-$$\frac{1}{x}$$,$$\frac{(2^{a})^{2}}{(2^{b})^{2}}$$=?
190215 10 ≤ n ≤ 99 . n is an integer which can be divided by both 3 and 7. What is the number of the possible value of n?
190215 The vertex coordinates of quadrilateral ABCD are A (3,1), B (10,1), C (5,8), D (3,5). How many right angles are there in this quadrilateral?
191020 If x and y are integers, and $$( x - y ) ^ { 2 } + 2 y ^ { 2 } = 27$$ , how many possible values of x?
190215 What is the value of n when the average of the five numbers 1, 3, 4, n, 10 is equal to the median?
191031 If |nx-8|≤4, then how many positive integers n that can make x exactly have two different integer solutions?
191031 How many prime factors does 2730 have?
191222 Each of the three machines works at the same constant rate. It takes k hours for two machines to produce goods. It takes 2 hours less for three machines than for two machines to produce same amount of goods. What is the value of k?
200301 How many diagonals does an octagon have more than a heptagon?
200301 What is the maximum number of the points of intersection of a circle and a square？
190302 The length, width and height of cuboids are x, y, and z, respectively. If the length, width and height of a cuboid are changed to 3x, 5y, and 4z, respectively. How many times the volume of larger cuboid as that of the original cuboid?
191222 |2-|2-x||=2，How many solutions do X have?
Ready4

An art exhibit has 30 landscape paintings, 25 watercolor paintings, and 20 portrait paintings. If 2 different paintings are selected at random to be displayed in a catalog, what is the probability that both paintings will be watercolors?
PREP07 Test 2 What is the value of $$a^4 - b^4$$ ?(1) $$a^2 - b^2 = 16$$(2) a + b = 8
Ready4

In the xy-coordinate plane, is point Q equidistant from points (4, 4) and (-2, 4)?

  1. The x-coordinate of point Q is 1.
  2. Point Q lies on the line y=4.
PREP07 Test 2 Tanya prepared 4 different letters to be sent to 4 different addresses. For each letter, she prepared an envelope with its correct address. If the 4 letters are to be put into the 4 envelopes at random, what is the probability that only 1 letter will be put into the envelope with its correct address?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022 A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter or a pair of distinct letters written in alphabetical order. What is the least number of letters that can be used if there are 12 participants, and each participant is to receive a different code?
OG18-数学分册 Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce $$\frac5 4$$ w widgets in 3 days, how many days would it take machine X alone to produce 2w widgets?
If $$5x = 2y$$ and $${x}{y}≠{0}$$, then x is what percent of y?
PREP07 Test 2 For a certain race, 3 teams were allowed to enter 3 members each. A team earned 6 - n points whenever one of its members finished in nth place, where $$1\le n \le 5$$. There were no ties, disqualifications, or withdrawals. If no team earned more than 6 points, what is the least possible score a team could have earned?