本文为大家介绍的是3道ACT数学练习题及解析,大家可以参考一下,在备考时勤加练习,对大家的备考是有帮助的。
ACT数学练习题及解析,ACT数学
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Question 1: What is sec(a)sin(a) + csc(a)cos(a) , if a = 45o?
(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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