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PREP07 Test 2
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For one toss of a certain coin, the probability that the outcome is heads is 0.6. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?
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190321
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There are 12 candies with four colors in an opaque bag. The proportion of red candy, yellow candy, white candy and green candy is 1/3,1/2,1/12,1/12, respectively. If two candies are taken out, what's the probability of picking at least one white candy out of this bag?
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Magoosh
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The average (arithmetic mean) of four numbers is 4a + 16. When a fifth number is added, the average becomes 5a + 20. The fifth number is
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Magoosh
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If the average (arithmetic mean) of five consecutive negative integers is 2k – 1, what is the difference between the greatest and least of the five integers?
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190415
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0.0256=?
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Ready4
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The figure below shows a square inscribed in a circle with a radius of  . What is the area of the shaded region?
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Ready4
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If  and  , what is the value of  ?
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300难题
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The surface distance between 2 points on the surface of a cube is the length of the shortest path on the surface of the cube that joins the 2 points. If a cube has edges of length 4 centimeters, what is the surface distance, in centimeters, between the lower left vertex on its
front face and the upper right vertex on its back face?
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OG17 OG18 OG19 OG20 OG2022
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When traveling at a constant speed of 32 miles per hour, a certain motorboat consumes 24 gallons of fuel per hour. What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?
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For any integer k greater than 1, the symbol $${k}^\ast$$ denotes the product of all the fractions of the form $$\frac1 t$$, where t is an integer between 1 and k, inclusive. What is the value of $$\frac{{5}^\ast} {{4}^\ast}$$?
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On January 1, 1994, Jill invested P dollars in an account that pays interest at a rate of 8 percent per year, compounded annually on December 31. If there were no other deposits or withdrawals in the account, how many dollars were in the account on January 1, 1998, in terms of P?
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$$1+{{1}\over{1}+({{1}\over{1}+\frac{1}{3}})}$$
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Magoosh
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A bag contains x blue chips and y red chips. If the probability of selecting a red chip at random is $$\frac{3}{7}$$, then $$\frac{x}{y} =$$
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Magoosh
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$${{1}\over{x*\sqrt{3}}}={\sqrt{2}\over{24}}$$In the equation above, x =
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Magoosh
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If square ABCD has area 25, and the area of the larger shaded square is 9 times the area of the smaller shaded square, what is the length of one side of the smaller shaded square?Note: Figure not drawn to scale
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Magoosh
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$${8×10^{40}}\over1×10^{10}$$=
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PREP07 Test 2
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Machine A produces pencils at a constant rate of 9,000 pencils per hour, and machine B produces pencils at a constant rate of 7,000 pencils per hour. If the two machines together must produce 100,000 pencils and if each machine can operate for at most 8 hours, what is the least amount of time, in hours, that machine B must operate?
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PREP07 Test 1
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If $${M}={4}^{\frac{1}{2}}+{4}^\frac{1}{3}+{4}^\frac{1}{4}$$, then the value of M is
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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$${\frac{0.99999999}{1.0001}}-{\frac{0.99999991}{1.0003}}=$$
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181215
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AB is perpendicular to AC. What is the x-interception of line AC?
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