Problem: In the October 2012 term, the Court decided 78 cases. Five of them were decided Per curiam decision. 38 out of the 78 decisions (representing 49% of the decisions) were unanimous in judgement, with 24 decisions being completely unanimous (a single opinion with every justice that participated joining it). This was the largest percentage of unanimous decisions that the Court had in ten years, since the October 2002 term (when 51% of the decisions handed down were unanimous). The Court split 5-4 in 23 cases (29% of the total); of these, 16 broke down along the traditionally perceived ideological lines, with Chief Justice Roberts and Justices Scalia, Thomas, and Alito on one side, Justices Ginsburg, Breyer, Sotomayor and Kagan on the other, and Justice Kennedy holding the balance. Of these 16 cases, Justice Kennedy sided with the conservatives on 10 cases, and with the liberals on 6. Three cases were decided by an interesting alignment of justices, with Chief Justice Roberts joined by Justices Kennedy, Thomas, Breyer and Alito in the majority, with Justices Scalia, Ginsburg, Sotomayor, and Kagan in the minority. The greatest agreement between justices was between Ginsburg and Kagan, who agreed on 72 of the 75 (96%) cases, in which both voted; the lowest agreement between justices was between Ginsburg and Alito, who agreed only on 45 out of 77 (54%) cases, in which they both participated. Justice Kennedy was in the majority of 5-4 decisions on 20 out of 24 (83%) cases, and in 71 of 78 (91%) cases during the term, in line with his position as the "swing vote" of the Court.

How many cases were not unanimous judgement or Per curiam decisions?
Answer: 35

Problem: The Second Goryeo-Khitan War was an 11th-century conflict between the kingdom of Goryeo and the Liao dynasty  near what is now the border between China and North Korea. It was the second of the Goryeo-Khitan Wars, with the First Goryeo-Khitan War occurring in 993, the second in 1010, and the third in 1018. When King Seongjong died in 997, Liao invested his successor Wang Song as king of Goryeo . In 1009, he was assassinated by the forces of the general Gang Jo. Using it as a pretext, the Liao attacked Goryeo in the next year. They lost the first battle but won the second one, and Gang Jo was captured and killed. The Liao occupied and burnt the Goryeo capital Kaesong. The Khitan withdrew after Goryeo reaffirmed its tributary relationship with the Khitan.

How many adversaries were involved in the Second Goryeo-Khitan War?
Answer: 2

Problem: Located in a remote, hard-to-reach corner east of the Pegu Yoma range, Toungoo had always been a troublesome province. It raised repeated rebellions throughout the 14th and 15th centuries against its overlords at Pinya and Ava, usually with Hanthawaddy Pegu's help. In 1494, Toungoo raided Pegu's territory without its overlord Ava's permission, and barely survived a strong counterattack by Pegu in 1495-1496. Mingyi Nyo, viceroy of Toungoo, would not make war against the larger neighbour for the remainder of his life. Mingyi Nyo declared independence from Ava in 1510, and largely stayed out of the fighting raging between Ava and the Confederation of Shan States. When Ava fell to the combined forces of the Confederation and Prome in 1527, many people fled to Toungoo, the only region in Upper Burma at peace.

How many years after Toungoo was declared independent did Ava fall?
Answer: 17

Problem: Coming off their bye week, the Titans flew to Arrowhead Stadium for a Week 7 duel with the Kansas City Chiefs. In the first quarter, Tennessee drew first blood as kicker Rob Bironas got a 49-yard field goal, along with RB LenDale White getting a 6-yard TD run. In the second quarter, the Titans increased their lead as White got a 2-yard TD run. In the third quarter, Tennessee continued its victory march as Bironas got a 46-yard field goal. In the fourth quarter, the Titans ripped it up as White got an 80-yard TD run. The Chiefs would get on the board as kicker Nick Novak nailed a 26-yard field goal, yet Tennessee replied with rookie RB Chris Johnson getting a 66-yard TD run. Kansas City ended the game's scoring with QB Tyler Thigpen getting a 14-yard TD run. In the game, Tennessee's overall ground game reached a franchise-best 332 yards.

How many yards longer was the longest field goal compared to the second longest?
Answer:
3