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Math
About 2012
General Knowledge
100
If a/b = 2, what is the value of 4b/a?
2
100
A line in the xy-plane passes through the origin and has a slope of 1/7. Which of the following points lies on the line? A. (0, 7) B. (1, 7) C. (7, 7) D. (14, 2)
D (14,2) Slope = y/x
100
Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears than Type B trees did. Based on Katarina’s observation, if the Type A trees produced 144 pears, how many pears did the Type B trees produce?
120
100
What was the highest-grossing movie that year? a. Skyfall b. The Hunger Games c. The Avengers d. The Dark Knight Rises
The Avengers The movie grossed an impressive $623,357,910 in the United States alone!
100
How many Apollo missions landed men on the moon?
6 ( Apollo 11, 12, 14, 15, 16, and 17 )
200
If 3x − y = 12, what is the value of 8^x/2^y? a. 2^12 b. 4^4 c. 8^2 d. It cannot be determined from information given.
A 2^12
200
If (ax + 2)(bx + 7) = 15x^2 + cx + 14 for all values of x, and a + b = 8, what are the two possible values for c ? A) 3 and 5 B) 6 and 35 C) 10 and 21 D) 31 and 41
D 31 and 41
200
h = 3a + 28.6 A pediatrician uses the model above to estimate the height h of a boy, in inches, in terms of the boy’s age a, in years, between the ages of 2 and 5. Based on the model, what is the estimated increase, in inches, of a boy’s height each year?
3
200
Which of these celeb things DID NOT happen in 2012 ? a. Beyonce revealed she was pregnant at the VMAs (Video Music Award) b. Taylor Swift and Harry Styles Began Dating c. Miley Cyrus and Liam Hemsworth got engaged
A Beyoncé revealed she was pregnant at the 2011 VMAs. And she gave birth to Blue Ivy in January 2012.
200
In which country will the 2018 Winter Olympics be held?
South Korea
300
Alma bought a laptop computer at a store that gave a 20 percent discount off its original price. The total amount she paid to the cashier was p dollars, including an 8 percent sales tax on the discounted price. What is the original price of the computer in terms of p ?
p / (0.8 * 1.08)
300
If y = kx, where k is a constant, and y = 24 when x = 6, what is the value of y when x = 5 ?
20
300
In a right triangle, one angle measures x°, where sin x° =4/5. What is cos(90° − x°) ?
4/5
300
Which of these albums was NOT released in 2012 ? a. Channel Orange by Frank Ocean b. Unapologetic by Rihanna c. 21 by Adele d. MDNA by Madonna
21 by Adele The album dropped in January 2011.
300
Composed of two main islands and with its capital at Basseterre, which is the smallest nation in the Americas? a. St Kitts and Nevis b. Barbados c. The Bahamas d. Turks and Caicos Islands
St Kitts and Nevis
400
A dairy farmer uses a storage silo that is in the shape of the right circular cylinder with height 8. If the volume of the silo is 72π cubic yards, what is the diameter of the base of the cylinder, in yards?
6 yards
400
What is the equation of a circle in the xy-plane with center (0, 4) and a radius with endpoint (4/3, 5)?
x^2 + (y-4)^2 = 25/9
400
g(x) = ax^2 + b For the function g defined above, a and b is a constant and g(4) = 8. What is the value of g(−4) ?
8
400
What was NOT a popular song that year (2012) ? a. "Moves Like Jagger" by Maroon 5 & Christina Aguilera b. "Gangnam Style" by PSY c. "Thrift Shop" by Macklemore & Ryan Lewis d. "Call Me Maybe" by Carly Rae Jepsen
"Moves Like Jagger"! It was actually a big hit in the summer of 2011.
400
Which manufacturer makes the car models Qashqai, Juke, and Note? a. Toyota b. Nissan c. Suzuki d. Subaru
Nissan
500
y<-x+a, y>x+b In the xy-plane, if (0, 0) is a solution to the system of inequalities above, which of the following relationships between a and b must be true?
a>b
500
For a polynomial p(x), the value of p(3) is −2. Which of the following must be true about p(x) ? A) x − 5 is a factor of p(x). B) x − 2 is a factor of p(x). C) x + 2 is a factor of p(x). D) The remainder when p(x) is divided by x − 3 is −2.
D
500
Five students, all of different heights, are randomly arranged in a line. What is the probability that the tallest student will be first in line and the shortest student will be last in line?
6/120 = 1/20
500
What now-forgotten feud happened in 2012 ? a. Jon Hamm vs. Kim Kardashian b. Lady Gaga vs. Perez Hilton c. Gwyneth Paltrow vs. Martha Stewart d. Jimmy Kimmel vs. Kanye West
It's Jon vs. Kim! Yup, Jon was not a fan of Kim K and let his feelings be known.
500
Which great English scientist, who worked initially as an assistant to Sir Humphry Davy, was commemorated on the Bank of England's £20 note from 1991 to 2001? a. John Dalton b. Isaac Newton c. Francis Crick d. Michael Faraday
Michael Faraday ( A key figure in the development of electromagnetism and chemistry. )