下面是8道SAT数学练习题的内容,包括了代数和几何两个部分。SAT数学练习题可以帮助大家更快更好的解答SAT数学题,可以帮助大家熟悉SAT数学词汇,掌握解题技巧,非常有用。大家一起来练习一下吧,不是很难。
1.If it is now 4:00 p.m. Saturday, in 253hours from now, what time and day will it be? (Assume no daylight saving time changes in the period.)
Answer Choices
(A) 5:00 a.m. Saturday
(B) 1:00 a.m. Sunday
(C) 5:00 p.m. Tuesday
(D) 1:00 a.m. Wednesday
(E) 5:00 a.m. Wednesday
2.If , then
Answer Choices
(A) a/4
(B) a/2
(C) a
(D) 2a
(E) 4a
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3.The function y=f(x), defined for , is graphed above. For how many different values of x is f(x)=0.2?
Answer Choices
(A) None
(B) One
(C) Two
(D) Three
(E) Four
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4.In the figure above, O is the center of the circle and triangle ABO is equilateral. If the sides of triangle ABO are of length 6, what is the length of line BC?
(A) 3 times square root 3
(B) 4 times square root 3
(C) 6 times square root 3
(D) 9
(E) 12
Explanation
1.The correct answer is E
Since each day has 24hours, it is a good idea to divide 253 by 24to find the number of complete 24-hourintervals in 253hours and the number of hours remaining after the 24-hourintervals have been accounted for. When 253is divided by 24, the quotient is 10and the remainder is 13. The 10complete 24-hourintervals tell you that 10days, or one full week plus 3days, go by, bringing you to Tuesday at 4:00 p.m. The 13additional hours take you into the next day, Wednesday. The 253hours will end at 5:00 a.m. on Wednesday.
2.The correct answer is C
You are given that . Dividing both sides of the equation by 2gives . Thus, the answer is a.
3.The correct answer is E
f(x)=0.2 when the point is (x,0.2)on the graph of f. Drawing the line y=0.2, as in the graph below, shows that the y-value is equal to 0.2 for four values of x between -1.5 and 1.5.
4.The correct answer is C
Choice (C) is correct. Since triangle ABO is equilateral, each of its angles has measure
60 degrees. It follows that angle BOC has measure 120 degrees. Since line OB and line OC are radii of the same circle, they are of equal length, and so delta OCB is isosceles. Hence angle OBC and angle OCB each have measure 30 degrees. Thus angle ABC has measure 60 degrees + 30 degrees = 90 degrees, and so triangle ABC is a 30 degrees minus 60 degrees minus 90 degrees right triangle. Since line AB, the side opposite the 30 degrees angle in triangle ABC, is of length 6, it follows that line BC, the side opposite the 60 degrees angle, is of length 6 times square root 3.