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Ready4	<p style="text-align: center;">p><p>Is the triangle above a right triangle?p> <p>(1) In an $xy$ -plane, $R$ and $S$ have the same $y$ -coordinates.p> <p>(2) In an $xy$ -plane, $S$ and $T$ do not have the same $x$ -coordinates.p>
C13	<p class="ng-scope" zoompage-fontsize="14"> Everest and Jengish Chokusu, two of the tallest mountains on earth, are both products of collisions between continental plates and other tectonic forces. Ojos del Salado and Llullaillaco are somewhat shorter and the product of volcanic forces. The formation of these mountains can be compared to that of the planets in our solar system, in which the original stellar material congealed to form multiple celestial bodies with wildly varying sizes, compositions, and physical characteristics. The mountains of Earth are, however, more identifiable than the materials from which they originally formed: mountains are formed from the same rocks and minerals that have existed on Earth for billions of years. Everest, for example, is largely composed of limestone and marble, Jengish Chokusu consists primarily of crystalline and sedimentary rocks, and though Ojos del Salado and Llullaillaco are both different types of volcanic peak, both have similar metamorphic compositions.p> <p class="ng-scope" zoompage-fontsize="14"> The distinction between volcanic and tectonically formed peaks has behavioral ramifications. Ojos de Salado remains an active volcano, and Llullaillaco is dormant at present but has been active in the past. Everest and Jengish Chokusu were formed from a tectonic plate collision millions of years ago, so they exhibit no volcanic activity. Because of that, the appearances of Everest and Jengish Chokusu are permanent, more or less; tectonic changes occur more slowly than volcanic changes and those two mountains will change but very gradually. On the other hand, the appearances of Ojos del Salado and Llullaillaco might change rapidly and with little warning, as dormant volcanoes have been known to become active and volcanic eruptions can radically reshape mountains in a matter of moments.p>
Ready4	<p class="ng-scope"> Miranda and Ariel are the innermost of Uranus's five largest moons, about one seventh and one third of the size of Earth's moon, respectively. Both appear to be roughly half ice and half rock. Titania and Oberon, Uranus's two largest moons, are the farthest large moons from Uranus and also seem to be composed of about half ice and half rock. None of the five largest moons of Uranus have any detectable atmosphere or magnetic field. This contrasts sharply with the moons of Jupiter, the compositional and atmospheric characteristics of which differ based on the moon's distance from the planet.p> <p class="ng-scope"> Despite their compositional similarities, the geographies of the moons of Uranus differ greatly. Miranda, the smallest of the five major moons, has huge canyons, some of which are 12 miles deep, a characteristic that is especially notable given that the moon itself has a diameter of only 290 miles. Miranda's entire surface is marked by massive faults, steep cliffs, smooth plains, and curiously shaped rifts; these features indicate a significant amount of recent geological activity. Ariel, on the other hand, has a few larger craters on the surface, but most are small. Many of Ariel's craters seem to be submerged to some degree. This indicates that the surface is relatively young, having been reshaped by geological movement. On Titania, a number of rift valleys, similar to those on Ariel but less extensive, crisscross the moon's surface. Titania's surface also reveals several faults; these indicate that the most recent geological activity on the moon was a very long time ago. Similarly, Oberon, the outermost of the five major moons, hasn't changed much recently. Its impact craters are more common and much bigger than the craters on Ariel and Titania, but its faults are limited to the southern hemisphere and are old enough to indicate a lack of geological activity anytime in recent history.p>
Ready4	<p>p> <p>The table above shows the lexical similarities, measured as a percentage of words that are similar, between any two of the four languages A, B, C, and D. For example, the lexical similarity between Language A and Language D is 70. What is the value of $a ΄$ ?p> The lexical similarity between B and C is 10 percent greater than that between B and A. The lexical similarity between C and D is 105% that of the lexical similarity between A and C.
Ready4	<p>If $H$ and $K$ are sets of integers, $H \Delta K$ denotes the set of integers that belong to set $H$ or to set $K$ , but not to both. If $H$ consists of 20 integers, $K$ consists of 16 integers, and 14 integers are in both $H$ and $K$ , then $H \Delta K$ consists of how many integers?p>
几何	In the figure shown, the circle has center O and radius 50, and point P has coordinates (50,0). If point Q (not shown) is on the circle, what is the length of line segment PQ ?(1) The x-coordinate of point Q is – 30.(2) The y-coordinate of point Q is – 40.
Ready4	<p class="ng-scope" zoompage-fontsize="14"> Everest and Jengish Chokusu, two of the tallest mountains on earth, are both products of collisions between continental plates and other tectonic forces. Ojos del Salado and Llullaillaco are somewhat shorter and the product of volcanic forces. The formation of these mountains can be compared to that of the planets in our solar system, in which the original stellar material congealed to form multiple celestial bodies with wildly varying sizes, compositions, and physical characteristics. The mountains of Earth are, however, more identifiable than the materials from which they originally formed: mountains are formed from the same rocks and minerals that have existed on Earth for billions of years. Everest, for example, is largely composed of limestone and marble, Jengish Chokusu consists primarily of crystalline and sedimentary rocks, and though Ojos del Salado and Llullaillaco are both different types of volcanic peak, both have similar metamorphic compositions.p> <p class="ng-scope" zoompage-fontsize="14"> The distinction between volcanic and tectonically formed peaks has behavioral ramifications. Ojos de Salado remains an active volcano, and Llullaillaco is dormant at present but has been active in the past. Everest and Jengish Chokusu were formed from a tectonic plate collision millions of years ago, so they exhibit no volcanic activity. Because of that, the appearances of Everest and Jengish Chokusu are permanent, more or less; tectonic changes occur more slowly than volcanic changes and those two mountains will change but very gradually. On the other hand, the appearances of Ojos del Salado and Llullaillaco might change rapidly and with little warning, as dormant volcanoes have been known to become active and volcanic eruptions can radically reshape mountains in a matter of moments.p>
Ready4	<p>p> <p>What is the value of x in the triangle above?p> $y + z = 130$ $x + z = 100$
Ready4	<p>p><p>When the figure above is cut along the solid lines, folded along the dashed lines, and taped along the solid lines, the result is a model of a pyramid with a base that is a pentagon. What is the sum of the number of edges and the number of vertices of this pyramid?p>
Ready4	<p>If ^ represents one of the operations $-$ , $\div$ , and $\times$ , is $a^(b^c) = c^(a^b)$ for all numbers a, b, and c?p> $a^(b + c)$ is not equal to $a^b + a^c$ for some values of a, b, and c. ^ represents division or subtraction.
Ready4	<p>The function $g$ is defined for each positive three-digit integer $m$ by $g(m) = 2^{a} \cdot 3^{b} \cdot 7^{c}$ where $a, b$ and $c$ are the hundreds, tens, and units digits of $m$ respectively. If $j$ and $k$ are three-digit positive integers such that $g(j)=16\cdot g(k)$ , then what is the value of $j-k$ ?p>
OG17 OG18 OG19 OG20 OG2022	In each of the last five years, Company K donated p percent of its annual profits to a certain scholarship fund. Did Company K donate more than $10,000 to the scholarship fund last year?(1) Two years ago, Company K had annual profits of $3 million and donated $15,000 to the scholarship fund.(2) Last year, Company K had annual profits of $2.5 million.
Ready4	<p style="text-align: center;">p><p>In the triangle above, does $a^2+b^2=c^2$ ?p> <p>(1) $x-y=0$ p> <p>(2) $x+y=90$ p>
Ready4	<p>p> <p>In the xy-plane above, is angle QPR a right angle?p> Line segment PQ is perpendicular to the x-axis. Line segment PR is perpendicular to the y-axis.
Ready4	<p>p><p class="ng-scope">The dots on the graph above indicate the Semester 1 math averages and Semester 1 science averages for 22 students at Busytown High School. How many students had a math average above 80 and a science average below 80?p>
Ready4	<p style="text-align: center;">p><p>In the triangle above, does $a^2+b^2=c^2$ ?p> <p>(1) $a=b$ p> <p>(2) $x+y=88$ p>
Ready4	<p class="ng-scope">According to the chart shown, which of the following is closest to the median sale price of homes in Pemberley neighborhood this past year?p>
Ready4	<p style="text-align: center;">p><p>In the figure shown, lines $r$ and $s$ are parallel. Is $x=y$ ?p> <p>(1) $w+x=180$ p> <p>(2) $w+z=180$ p>
Ready4	<p>p><p class="ng-scope">According to the chart shown, which of the following is closest to the difference between the mean and the median of the weekly book sales at C&M Bookstore for the 8 weeks indicated on the graph?p> <p class="ng-scope"> p>
Ready4	<p style="text-align: center;">p><p>In the rectangular coordinate system above, if $\Delta HIJ$ and $\Delta JKL$ have equal area, what are the coordinates of point $L$ ?p> <p>(1) The coordinates of point $J$ are $(6,0)$ .p> <p>(2) $\overline{JK}=2\overline{LK}$ p> <p> p>