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OG19-数学分册	If n is the least of three different integers greater than 1, what is the value of n ? (1) The product of the three integers is 90. (2) One of the integers is twice one of the other two integers.
OG20 OG2022	1.png'/> The 9 squares above are to be filled with x 's and o 's, with only one symbol in each square. How many of the squares will contain an x ? 1.More than $$\frac{1}{2}$$ of the number of squares will contain an o. 2.Each of the 4 corner squares will contain an x.
OG20 OG2022	If m and n are integers, what is the value of m + n ? 1.$$(x + m)(x + n) = x^{2} + 5x + mn\ and\ x ≠ 0.$$ 2.$$mn = 4$$
OG20 OG2022	7, 9, 6, 4, 5, x If x is a number in the list above, what is the median of the list? 1.x > 7 2.The median of the list equals the arithmetic mean of the list.
OG20 OG2022	If x and y are the lengths of the legs of a right triangle, what is the value of xy ? 1.The hypotenuse of the triangle is $$10\sqrt{2}$$ 2.The area of the triangular region is 50.
OG20 OG2022	If the 1st term of a sequence is 0 and the 2nd term is 1, is the 5th term 2 ? 1.Each odd-numbered term is either 0 or 2. 2.The 3rd term is 2.
OG20 OG2022	Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. How many years has Green worked at Firm X ? 1.Jones has worked at Firm X 9 years longer than Smith. 2.Green has worked at Firm X 5 years less than Jones.
OG20 OG2022	If, in the figure above, ABCD is a rectangular region, what is the value of the ratio $$\frac{area of Δ EDA}{area of Δ EBC}$$ ? 1.AD = 4 2.AE = 2 and EB = 4
OG20 OG2022	A certain painting job requires a mixture of yellow, green, and white paint. If 12 quarts of paint are needed for the job, how many quarts of green paint are needed? 1.The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be 1 to 3. 2.The ratio of the amount of yellow paint to the amount of green paint needs to be 3 to 2.
OG20 OG2022	In any sequence of n nonzero numbers, a pair of consecutive terms with opposite signs represents a sign change. For example, the sequence –2, 3, –4, 5 has three sign changes. Does the sequence of nonzero numbers $$s_1$$, $$s_2$$, $$s_3$$, - , $$s_n$$ have an even number of sign changes? 1.$$s_k= (-1)^{k}$$ for all positive integers k from 1 to n. 2.n is odd.
OG20 OG2022	br/] A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimeters of tile are in the mosaic? 1.Each side of each triangular piece of tile is 9 centimeters long. The mosaic can be put inside a rectangular frame that is 40 centimeters wide.
Ready4	If $x = \frac{2}{y}$ $x = 2 y$ and $y = \frac{z}{2}$ $y = z 2$ , is $(\frac{z}{3} + \frac{y}{2} + 3 x)$ $( z 3 + y 2 + 3 x )$ divisible by 5? (1) z = 3 (2) $y = \frac{3}{2}$ $y = 3 2$
Ready4	If $x$ is a prime number, is $15x^3+30x^2+6x+9$ divisible by $x^2$ ? (1) $x^2 > 4$ and $x^2 < 30$ (2) $x^2-10x+21=0$
Ready4	What is the value of $a$ ? (1) $a^2-a-6=0$ (2) $a+5$ is a prime number
Ready4	How many numbers in a set of 5 consecutive positive integers are divisible by 4? (1) The median of the set is odd (2) The mean of the set is prime
Ready4	If $x$ , $y$ , $b$ , and $t$ are all positive integers, $x=\frac{y}{5}+2$ and $t=\frac{b}{7}+4$ , is $b(t^{xy})$ an even number? (1) $3.5t-2$ is even (2) $\frac{b}{t}$ is even
Ready4	Is the integer x odd? (1) x^³ is odd (2) 3x is odd
OG20 OG2022	If r and s are positive numbers and θ is one of the operations, +, −, *, or ÷, which operation is θ? 1.If r = s, then r θ s = 0. 2.If r ≠ s, then r θ s ≠ s θ r.
OG20 OG2022	If a merchant purchased a sofa from a manufacturer for $400 and then sold it, what was the selling price of the sofa? 1.The selling price of the sofa was greater than 140 percent of the purchase price. 2.The merchant's gross profit from the purchase and sale of the sofa was $$\frac{1}{3}$$ of the selling price.
OG20 OG2022	A rectangular solid has length, width, and height of L cm, W cm, and H cm, respectively. If these dimensions are increased by x%, y%, and z%, respectively, what is the percentage increase in the total surface area of the solid? 1.L, W, and H are in the ratios of 5:3:4. 2.x = 5, y = 10, z = 20