Potpourri Number & Operations Algebra & Functions Geometry & Measurement Statistics & Probability 200 400 600 800 1000 800 600 400 200 1000 800 600 400.

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Potpourri Number & Operations Algebra & Functions Geometry & Measurement Statistics & Probability

Number & Operations– 200 Points QUESTION: The total cost of 3 equally priced mechanical pencils is $4.50. If the cost per pencil is increased by $0.50, how much will 5 of these pencils cost at the new rate? A.) $7.50 B.) $8.00 C.) $9.00 D.) $9.50 E.) $10.00 ANSWER: E

Number & Operations– 400 Points QUESTION: A machine mints coins at the rate of one coin per second. If it does this for 10 hours each day, approximately how many days will it take the machine to mint 360,000 coins? A. 10 B. 100 C. 1,000 D. 10,000 E. 100,000 ANSWER: A

Number & Operations– 600 Points QUESTION: The first term of a sequence is 20 and the second term is 8. The third term and each term thereafter is the average (arithmetic mean) of the two terms immediately preceding it. What is the value of the first term in the sequence that is NOT an integer? ANSWER: 12.5

Number & Operations– 800 Points QUESTION: In a mixture of peanuts and cashews, the ratio by weight of peanuts to cashews is 5 to 2. How many pounds of cashews will there be in 4 pounds of this mixture? ANSWER: 8/7

Number & Operations– 1000 Pts QUESTION: How many integers greater than 20 and less than 30 are each the product of exactly two DIFFERENT numbers, both of which are prime? A. Zero B. One C. Two D. Three E. Four ANSWER: D

Algebra & Functions– 200 Points QUESTION: If 2(x - 3) = 7, what is the value of x? ANSWER: 6.5

Algebra & Functions– 400 Points QUESTION: If x is 1/5 of y, y is 3/10 of z, and z > 0, then x is what fraction of z? ANSWER: 0.06 or 3/50

Algebra & Functions– 600 Points

Algebra & Functions–800 Points QUESTION: If 2x + z = 2y and 2x + 2y + z = 20, what is the value of y? A. 5 B. 8 C. 10 D. 15 E. It cannot be determined from the information given. ANSWER: A

Algebra & Functions– 1000 Points

Geometry & Measurement– 200 Pts QUESTION: Point P lies on the line with equation y – 4 = 3(x – 2). If the x-coordinate of P is 4, what is the y-coordinate of P? ANSWER: 10

Geometry & Measurement– 400 Pts QUESTION: If the degree measures of the angels of a triangle are in the ratio 2:3:4, by how many degrees does the measure of the largest angle exceed the measure of the smallest angle? A. 20˚ B. 30˚ C. 40˚ D. 50˚ E. 60˚ ANSWER: C

Geometry & Measurement– 600 Points QUESTION: How many more degrees of arc are there in ¼ of a circle than in 1/5 or a circle? A. 9˚ B. 18˚ C. 24˚ D. 30˚ E. 36˚ ANSWER: B

Geometry & Measurement– DAILY DOUBLE!!! QUESTION: In the figure above, if l is parallel to m, what does z equal in terms of x and y? A. x + y B. x – y C. 180 – x D. 180 – x + y E. 180 – x – y ANSWER: E lmlm x z y

Geometry & Measurement– 1000 Points

Statistics & Probability– 200 Points QUESTION: A clerk accidentally threw a valuable document into one of 90 trash cans. It is equally likely that the document is in any of these 90 trash cans. If exactly 15 of these 90 trash cans are blue, what is the probability that the document will be in a blue trash can? A. ¼ B. 1/5 C. 1/6 D. 1/15 E. 1/90 ANSWER: C

Statistics & Probability– 400 Points QUESTION: At Maple Creek High School, some members of the chess club are on the swim team and no members of the swim team are tenth graders. Which of the following must also be true? A. No members of the chess club are 10 th graders B. Some members of the chess club are 10 th graders. C. Some members of the chess club are not10 th graders. D. More 10 th graders are on the swim team than are in the chess club. E. More 10 th graders are in the chess club than are on the swim team. ANSWER: C

Statistics & Probability– 600 Points QUESTION: The scores on Tuesday’s history test for 16 students are shown in the table. Sam, who was the only student absent on Tuesday, will take the test next week. If Sam receives a score of 95 on the test, what will be the median score for the test? A. 90 B C. 85 D E. 80 ANSWER: C Score# of Students

Statistics & Probability– 800 Points QUESTION: In a set of 11 different numbers, which of the following CANNOT affect the value of the median? A. Doubling each number B. Increasing each number by 10 C. Increasing the smallest number only D. Decreasing the largest number only E. Increasing the largest number only ANSWER: E

Statistics & Probability– 1000 Points QUESTION: The table shows student enrollment at Weston High School from 1992 through If the median enrollment for the 5 years 1351, and no two years had the same enrollment, what is the greatest possible value of x? ANSWER: 1350 Year# of Students Enrolled 1992X

Potpourri– 200 Points QUESTION: The Martins’ refrigerator is broken and it will cost $300 to fix it. A new energy-efficient refrigerator, costing $900, will save the Martins $15 per month on their electric bill. If they buy the new refrigerator, in x months the Martins will have saved an amount equal to the difference between the cost of the new refrigerator and the cost of fixing the old one. What is the value of x? A. 20 B. 25 C. 36 D. 40 E. 60 ANSWER: D

Potpourri– 400 Points

Potpourri– 600 Points QUESTION: The rate for a telephone call between city A and city B is 50 cents for the first minute and 30 cents for each additional minute or portion thereof. Which of the following functions describes the cost, in dollars, of a phone call between these two cities that lasts for n minutes, if n is a positive integer? A. f(n) = 0.80n B. f(n) = n C. f(n) = (n + 1) D. f(n) = (n – 1) E. f(n) = 0.50n (n – 1) ANSWER: D

Potpourri– 800 Points

Potpourri– 1000 Points QUESTION: If k is a positive integer, which of the following must represent an even integer that is twice the value of an odd integer? A. 2k B. 2k + 3 C. 2k + 4 D. 4k + 1 E. 4k + 2 ANSWER: E

Final Jeopardy- Algebra & Functions