OG12 OG15 OG16
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When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?(1)The player tossed the coin 24 times.(2)The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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On a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Cindy's car got on this trip must have been between
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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Which of the following inequalities is an algebraic expression for the shaded part of the number line above?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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Beginning in January of last year, Carl made deposits of $120 into his account on the 15th of each month for several consecutive months and then made withdrawals of $50 from the account on the 15th of each of the remaining months of last year. There were no other transactions in the account last year. If the closing balance of Carl's account for May of last year was $2,600, what was the range of the monthly closing balances of Carl's account last year?(1)Last year the closing balance of Carl's account for April was less than $2,625.(2)Last year the closing balance of Carl's account for June was less than $2,675.
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OG12 OG15 OG16
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A factory has 500 workers, 15 percent of whom are women. If 50 additional workers are to be hired and all of the present workers remain, how many of the additional workers must be women in order to raise the percent of women employees to 20 percent?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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Are all of the numbers in a certain list of 15 numbers equal?(1)The sum of all the numbers in the list is 60.(2)The sum of any 3 numbers in the list is 12.
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OG12 OG15
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Quadrilateral RSTU shown above is a site plan for a parking lot in which side RU is parallel to side ST and RU is longer than ST. What is the area of the parking lot?(1)$$RU = 80$$ meters(2)$$TU = 20\sqrt{10}$$ meters
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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In a small snack shop, the average (arithmetic mean) revenue was $400 per day over a 10-day period. During this period, if the average daily revenue was $360 for the first 6 days, what was the average daily revenue for the last 4 days?
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OG12 OG15 OG16 OG17
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A certain country had a total annual expenditure of $$$1.2 \times {10}^{12}$$ last year. If the population of the country was 240 million last year, what was the per capita expenditure?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If the average (arithmetic mean) of six numbers is 75, how many of the numbers are equal to 75 ?(1)None of the six numbers is less than 75.(2)None of the six numbers is greater than 75.
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OG12 OG15
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A certain rectangular window is twice as long as it is wide. If its perimeter is 10 feet, then its dimensions in feet are
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OG12 OG15 OG16
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What was the total amount of revenue that a theater received from the sale of 400 tickets, some of which were sold at x percent of full price and the rest of which were sold at full price?(1)x = 50(2)Full-price tickets sold for $20 each.
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OG12 OG15 OG16 OG17
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The diagram above shows the various paths along which a mouse can travel from point X, where it is released, to point Y, where it is rewarded with a food pellet. How many different paths from X to Y can the mouse take if it goes directly from X to Y without retracing any point along a path?
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OG12 OG15
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Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, 24, 0.82, and 5.096 are three terminating decimals. If r and s are positive integers and the ratio $$\frac r s $$ is expressed as a decimal, is $$\frac r s$$ a terminating decimal?(1)$$90 < r < 100$$(2)$$s = 4$$
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OG12 OG15 OG16
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In the figure above, what is the value of x + y ?(1)x = 70(2)△ABC and △ADC are both isosceles triangles.
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OG12 OG15 OG16 OG17
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If the operation * is defined by $$x*y=\sqrt{xy}$$ for all positive numbers x and y, then (5 * 45) * 60 =
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OG12 OG15 OG16 OG17
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A bar over a sequence of digits in a decimal indicates that the sequence repeats indefinitely.What is the value of $$({10}^{4}-{10}^{2})(0.00\overline{12})$$?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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What amount did Jean earn from the commission on her sales in the first half of 1988 ?(1)In 1988 Jean's commission was 5 percent of the total amount of her sales.(2)The amount of Jean's sales in the second half of 1988 averaged $10,000 per month more than in the first half.
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OG12 OG15
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The price per share of Stock X increased by 10 percent over the same time period that the price per share of Stock Y decreased by 10 percent. The reduced price per share of Stock Y was what percent of the original price per share of Stock X ?(1)The increased price per share of Stock X was equal to the original price per share of Stock Y.(2)The increase in the price per share of Stock X was $$\frac{10} {11}$$ the decrease in the price per share of Stock Y.
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OG12 OG15 OG16 OG17
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At a loading dock, each worker on the night crew loaded $$\frac{3}{4}$$ as many boxes as each worker on the day crew. If the night crew has $$\frac{4}{5}$$ as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
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