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OG18-数学分册
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When the wind speed is 9 miles per hour, the wind-chill factor w is given by w = -17.366 + 1.19t, where t is the temperature in degrees Fahrenheit. If at noon yesterday the wind speed was 9 miles per hour, was the wind-chill factor greater than 0 ?(1) The temperature at noon yesterday was greater than 10 degrees Fahrenheit.(2) The temperature at noon yesterday was less than 20 degrees Fahrenheit.
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An office supply store received a shipment of boxes of pencils. How many pencils were in the shipment altogether? (1 gross = 12 dozen)(1) The number of boxes of pencils in the shipment was 6 gross.(2) There were 3 dozen pencils in each box of pencils in the shipment.
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OG2022
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A small business invests $9,900 in equipment to produce a product. Each unit of the product costs $0.65 to produce and is sold for $1.20. How many units of the product must be sold before the revenue received equals the total expense of production, including the initial investment in equipment?
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OG16 OG17 OG18 OG19 OG20 OG2022
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A merchant discounted the sale price of a coat and the sale price of a sweater. Which of the two articles of clothing was discounted by the greater dollar amount?(1) The percent discount on the coat was 2 percentage points greater than the percent discount on the sweater.(2) Before the discounts, the sale price of the coat was $10 less than the sale price of the sweater.
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If g(x) = x + 4 for all x and $$f(x)=\frac{2x^2-5}{x}$$ for all nonzero x, then f(x) = g(x) for which of the following values of x ?
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If b, c, and d are constants and $${x}^{2}+{b}{x}+{c}=({x}+{d})^{2}$$ for all values of x, what is the value of c? (1) d = 3 (2) b = 6
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PREP07 Test 1
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If the average (arithmetic mean) of four different numbers is 30, how many of the numbers are greater than 30?(1) None of the four numbers is greater than 60.(2) Two of the four numbers are 9 and 10, respectively.
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If each of the students in a certain mathematics class is either a junior or a senior, how many students are in the class?(1) If one student is to be chosen at random from the class to attend a conference, the probability that the student chosen will be a senior is 4/7.(2) There are 5 more seniors in the class than juniors.
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 A rectangular picture is surrounded by a boarder, as shown in the figure above. Without the boarder the length of the picture is twice its width. If the area of the boarder is 196 square inches, what is the length, in inches, of the picture, excluding the boarder?
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PREP07 Test 2
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Each week Connie receives a base salary of $500, plus a 20 percent commission on the total amount of her sales that week in excess of $1,500. What was the total amount of Connie's sales last week?(1) Last week Connie's base salary and commission totaled $1,200.(2) Last week Connie's commission was $700.
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Company A has a total of n employees, where n is an odd integer, and no two employees have the same annual salary. The annual salaries of the n employees are listed in increasing order, and the 16th salary in the list is the median of the annual salaries. If the sum of the annual salaries of Company A's employees is $942,400, what is the average (arithmetic mean) of the annual salaries of Company A's employees?
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If $$\sqrt{x}$$ is an integer, what is the value of $$\sqrt{x}$$?(1) $${11}\lt x\lt {17}$$(2) $${2}<\sqrt{x}<{5}$$
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If $${P}({r})={8}\frac{r}{1-r}$$, for what value of r does $${P}({r})=\frac{1}{2}{P}(3)$$?
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Based on this year's costs, an orcharde grower budgets P dollars for planting N new trees next year. If the average cost of planting each tree were to increase 25 percent from this year's cost ,then the greatest number of trees that the orchard grower could plant next year using P dollars would be.
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A farmer produced 750 bushels of a certain crop at a cost of $20 per bushel. If the farmer sold $$\frac{2}{3}$$ of the bushels for double their production cost and sold the remaining bushels at 25 percent above their production cost, what was the farmer's gross profit on the sale of the crop?
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OG18-数学分册
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If m is a positive integer, then $${M}^{3}$$ has how many digits?(1) M has 3 digits.(2) $${M}^{2}$$ has 5 digits
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If the function f is defined by $${f}({x})={x}^{2}+\frac{1}{x^2}$$ for all nonzero numbers x, then $$f(-\frac{1}{x})=$$
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OG18-数学分册
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Last year in a group of 30 businesses, 21 reported a net profit and 15 had investments in foreign markets. How many of the businesses did not report a net profit nor invest in foreign markets last year?(1) last year 12 of the 30 businesses reported a net profit and had investments in foreign markets.(2) last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both.
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A pump started filling an empty pool with water and continued at a constant rate until the pool was full. At noon the pool was $$\frac{1}{3}$$ full, and $$\frac{11}{4}$$ hours later it was $$\frac{3}{4}$$ full. What was the total number of hours that it took the pump to fill the pool?
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John, Karen, and Luke collected cans of vegetables for a food drive. The number of cans that John collected was $$\frac{1}{2}$$ the number of cans that Karen collected and $$\frac{1}{3}$$ the number of cans that Luke collected. The number of cans that Luke collected was what fraction of the total number of cans that John, Karen, and Luke collected?
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