|
OG18-数学分册
|
What is the value of $$\frac{r}{2} + \frac{s}{2}$$?(1) $$\frac{r +s}{2} = 5$$(2) r + s =10
|
|
OG18-数学分册
|
 In the quilting pattern shown above, a small square has its vertices on the side of a larger square. What is the side length, in centimeters, of the larger square?(1) The side length iof the smaller square is 10 cm.(2) Each vertex of the small square cuts 1 side of the larger into 2 segments with length in the ratio of 1 : 2.
|
|
OG18-数学分册
|
 In the rectangular coordinate system above, if $$\bigtriangleup$$ OPQ and $$\bigtriangleup$$ QRS have equal area, what are the coorddinates of point R?(1) The coordinates of point P are (0,12).(2) OP = OQ and QS = RS.
|
|
Manhattan
|
What is the minimal value of function f(x)?(1) $$f(0) = 16$$(2) $$f(x) = (x – 4)^2$$
|
|
Manhattan
|
In the figure to the right is b > a? (Note: Figure not drawn to scale.)(1) a = 35(2) a < 60
|
|
Manhattan
|
In the current year's graduating class at a local university, students graduated either with or without honors. How many students graduated with honors?(1) 20% of the students graduated with honors.(2) 84 students graduated without honors.
|
|
OG18 OG19 OG20 OG2022
|
 In the multiplication table above, each letter represents an integer. What is the value of c?(1) c=f(2) $$h\neq0$$
|
|
OG18 OG19 OG20 OG2022
|
Last school year, each of the 200 students at a certain high school attended the school for the entire year. If there were 8 cultural performances at the school during the last school year, what was the average (arithmetic mean) number of students attending each cultural performance? (1) Last school year, each students attended at least one cultural performance.(2) Last school year, the average number of cultural performances attended per student was 4.
|
|
OG18-数学分册
|
If $$x^{2} = 2^{x}$$, what is the value of x?(1) $$2x = ({\frac{x}{2}})^{3}$$(2) $$x = {2}^{x -2}$$
|
|
OG18-数学分册
|
If the set S consists of five consecutive positive integers, what is the sum of these five integers?(1) The integer 11 is in S , but 10 is not in S.(2) The sum of the even integers in S is 26.
|
|
OG18-数学分册
|
How many integers n are there such that r < n < s?(1) s- r = 5(2) r and s are not integers.
|
|
OG18-数学分册
|
 In the figure shown, lines k and m are parallel to each other, Is x = z?(1) x = w(2)y = 180 - w
|
|
OG18-数学分册
|
If x > 0, what is the value of x?(1) $$x^{3} - x = 0$$(2) $$ \sqrt[3]{x} - x = 0$$
|
|
OG18-数学分册
|
What is the sum of the first four terms of sequence S?(1) After the first two terms of S, the value of each term of S is equal to the average (arithmetic mean) of the last two preceding terms.(2) The average (arithmetic mean) of the first three terms of S is 10.
|
|
OG18-数学分册
|
In a certain order, the pretax price of each regular pencil was $0.03, the pretax price of each deluxe pencil was $0.05, and there were 50% more deluxe pencil than regular pencils. All taxes on the order are a fixed percent of the pretax price. The sum of the total pretax price of the order and the tax on the order was $44.10. What was the amount, in dollars, of the tax on the order?(1) The tax on the order was 5% of the total pretax price of the order.(2) The order contained exactly 400 regular pencils.
|
|
OG18-数学分册
|
If the total price of n equally priced shares of a certain stock was $12,000, what was the price per share of the stock?(1) If the price per share of the stock had been $1 more, the total price of the n shares would have been $300 more.(2) If the price per share of the stock had been $2 less, the total price of the n shares would have been 5 percent less.
|
|
OG18-数学分册
|
If x, y, and z are positive numbers, is x > y > z?(1) xz > yz(2) yx > yz
|
|
OG18-数学分册
|
Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.(2) Before Michael acquired the 10 additional books, he had more than 24 books
|
|
OG18-数学分册
|
If a and b are positive integers, what is the value of the product ab?(1) The least common multiple of a and b is 48.(2) The greatest common factor of a and b is 4.
|
|
OG18-数学分册
|
In the sequence S of numbers, each term after the first two terms is the sum of the two immediately preceding terms. What is the 5th term of S?(1) The 6th term of S minus the 4th term equals 5.(2) The 6th term of S plus the 7th term equals 21.
|