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OG20 OG2022 If each side of parallelogram P has length 1, what is the area of P ? 1.One angle of P measures 45 degrees. 2.The altitude of P is $$\frac{\sqrt{2}}{2}$$
OG20 OG2022 Is the sum of four particular integers even? 1.Two of the integers are odd and two are even. 2.The average (arithmetic mean) of the four integers is an integer.
OG20 OG2022 Is the average (arithmetic mean) of the numbers x, y, and z greater than z ? 1.z – x < y – z 2.x < z < y
OG20 OG2022 The figure above represents a box that has the shape of a cube. What is the volume of the box? 1.PR = 10 cm 2.$$QT = 5 \sqrt{6}cm$$
OG20 OG2022 Is quadrilateral PQRS a parallelogram? 1.Adjacent sides PQ and QR have the same length. 2.Adjacent sides RS and SP have the same length.
OG20 OG2022 In the figure above, PQRT is a rectangle. What is the length of segment PQ ? 1.The area of region PQRS is 39 and TS = 6. 2.The area of region PQRT is 30 and QR = 10.
OG20 OG2022 If a and b are integers, and b > 0, does $$\frac{a-1}{b+1}=\frac{a}{b}$$ 1.$$a = b – 4$$ 2.$$a = –b$$
OG20 OG2022 Is x an integer? 1.$$x^{3} = 8$$ 2.$$x = \sqrt{4}$$
OG20 OG2022 A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used? 1.x = y 2.z = 60
OG20 OG2022 Three children inherited a total of X dollars. If the oldest child inherited $7,000 more than the youngest child, and the youngest child inherited $9,000 less than the middle child, what is the value of X ? 1.The middle child inherited $27,000. 2.The youngest child and the middle child together inherited a total of $45,000.
OG20 OG2022 On a map,$$\frac{1}{2}$$ inch represents 100 miles. According to this map, how many miles is City X from City Y ? 1.City X is 3 inches from City Y on the map. 2.Cities X and Y are each 300 miles from City Z.
OG20 OG2022 The length, width, and height of a rectangular box, in centimeters, are L, W, and H. If the volume of this box is V cubic centimeters and the total area of the 6 sides of this box is A square centimeters, what is the value of $$\frac{V}{A}$$?[br/[ 1.At least 2 of L, W, and H are equal to 5. 2.L, W, and H all have the same value.
OG20 OG2022 If a school district paid a total of $35 per desk for x desks and a total of $30 per table for y tables, what was the total amount that the district paid for these desks and tables? 1.The total amount the district paid for the y tables was $900. 2.x = 90, and the total amount the district paid for the x desks was 3.5 times the total amount the district paid for the y tables.
OG20 OG2022 Three roommates—Bela, Gyorgy, and Janos—together saved money for a trip. The amount that Bela saved was equal to 8% of his monthly income. The amount that Gyorgy saved was exactly $$\frac{1}{3}$$ of the total amount saved by all 3 roommates. What was the total amount saved for the trip by all 3 roommates? 1.Bela had a monthly income of $2,000. 2.Janos saved 1.5 times as much for the trip as Bela.
OG20 OG2022 What is the remainder when the positive integer n is divided by 5 ? 1.When n is divided by 3, the quotient is 4 and the remainder is 1. 2.When n is divided by 4, the remainder is 1.
OG20 OG2022 If 2.00X and 3.00Y are 2 numbers in decimal form with thousandths digits X and Y, is 3(2.00X) > 2(3.00Y) ? 1.3X < 2Y 2.X < Y – 3
OG20 OG2022 In a sequence of numbers in which each term is 2 more than the preceding term, what is the fourth term? 1.The last term is 90. 2.The first term is 2.
OG20 OG2022 If a and b are integers, is $$a^{5}$$ < $$4^{b}$$ ? 1.$$a^{3}= –27$$ 2.$$b^{2} = 16$$
OG20 OG2022 In the figure above, what is the area of region PQRST ? 1.PQ = RS 2.PT = QT
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