78. Find the sum of the coefficients when we write the vector (-1,2,0) as the linear combination of three vectors (2,1,5), (-1,1,3) and (3,1,9).
(A) 2
(B) 3
(C) 5
(D) 7

79. Initially in the first box there are 1 black ball and 1 white ball and in the second box there is a white ball. Tom choose a ball randomly from the first box, put it into the second box, then choose a ball randomly from the second box and put it back to the first box. The above process is called a “round”. After the third round, the probability that the two balls in the first box are of the different colors is n m (in the reduced fraction) . Find the value of m n + . (A) 107 (B) 109 (C) 111 (D) 113

80. According to Anna Sfard, a mathematical concept can be conceived in two different ways: structurally and operationally. Which of the following is to view operationally? (A) as an irrational number. (B) as a symbol. (C) as an infinite decimal. (D) as taking a square root of 2.

81. David Tall conducted a study to investigate 16 year old students’ concept image and concept definition. The students were asked to draw the tangent to the following graph at the origin. Some students did not cope with the task and asserted that “…because the tangent should touch the line at one specific point but this tangent would touch it constantly.” Which of the following best describes the cause of the students’ answer? (A)Almost always the concept definition will be evoked by students when solving problems. (B)Almost always the concept image will be evoked by students when solving problems. (C)The concept definition includes a form of words used to specify the concept, however, the students were asked to draw a tangent in this case. (D)The concept image includes a form of words used to specify the concept, however, the students were asked to draw a tangent in this case.

82. Suppose x is a real number. The maximum of is? (A)(B)(C)(D)

83. Five different odd numbers sum up to 85. What is the range of the largest number n among these five? (A)17≤n≤69  (B)23≤n≤67 (C)19≤n≤67 (D)21≤n≤69

84. The following is a statement of “algorithm for square-root multiplication” in a secondary school textbook, “The product of the positive square roots of two positive numbers is equal to the positive square root of the product of the two positive numbers.” After teaching, Ms. Guo found that most students learned the expressional representation of this statement, a b ab × = , but did not understand the above statement. Please choose the most effective teaching activity from the following to help students understand the statement. (A)Thoroughly re-teach the concept of the algorithm. (B)Give students corresponding numerical expressions of the statement, such as 23 6 × = , and ask students to describe it with words. (C)Ask students to start with a part of the statement and gradually expand it and then judge the relations among all mathematical objects in the statement. (D) Ask students to do more exercises pertinent to the algorithm.

85. Let a = + 10 6 3 and b = − 10 6 3 . Evaluate 3 3 a b + = (A) 2 (B) 2 3 (C)5 (D) 6 3

86. Matt has 4 more hats than Aaron and half as many hats as Michael. If the three together have 24 hats, how many hats does Michael have? (A) 7 (B) 9 (C) 12 (D) 14

87. Suppose point O point is the center of an excircle of the acute triangle △ ABC. If ∠ =° BAO 30 , what is ∠ACB ? (A) 40 ° (B) 45 ° (C) 50 ° (D) 60 ° 16

88. If 2n + 2n = 2m, then (A) n + n = m (B) n + 1 = m (C) 4n = m (D) m + 1 = n

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