ACT考试中，ACT真题是最好的练习题目。下面是3道ACT数学真题，大家可以作为参考。

　　Question 1：What is sec(a)sin(a) + csc(a)cos(a) , if a =45^o?

　　(a) √2

　　(b) 2

　　(c) 1

　　(d) 1/√2

　　(e) 1/2

　　Answer: sec(a)sin(a) + csc(a)cos(a) = [1/cos(a)]sin(a) + [1/sin(a)]cos(a) = sin(a)/cos(a) + cos(a)/sin(a) = (√2/2)/(√2/2) + (√2/2)/(√2/2) = 1 + 1 = 2.

　　Question 2：In the standard (x,y) coordinate plane, 3 corners of a square are (4,–3), (–4,3), and (–4,-3). What are the coordinates of the square’s fourth corner?

　　(a) (1/4, -1/3)

　　(b) (4, 3)

　　(c) (3, 4)

　　(d) (3, -4)

　　(e) (3, -4)

　　Answer：The easiest way to solve this problem is to sketch the 3 corners of the square. We notice that the fourth corner of the square is (4, 3).

　　Question 3：Prizes totaling $60,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?

　　(a) $5,000

　　(b) $10,000

　　(c) $15,000

　　(d) $25,000

　　(e) $65,000

　　Answer：The highest prize should be higher than one third of $60,000 and lower than $60,000. The only answer that satisfies this condition is $25,000.

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