SAT2数学Level-1练习题3-【剑桥国际高中入学资料】.doc

SAT2数学Level 1练习题3
· Question #1: The sum of the two solutions of the quadratic equation f(x) = 0 is equal to 1 and the product of the solutions is equal to -20. What are the solutions of the equation f(x) = 16 - x ?
(a) x1 = 3 and x2 = -3
(b) x1 = 6 and x2 = -6
(c) x1 = 5 and x2 = -4
(d) x1 = -5 and x2 = 4
(e) x1 = 6 and x2 = 0
· Question #2: In the (x, y) coordinate plane, three lines have the equations:
l1: y = ax + 1
l2: y = bx + 2
l3: y = cx + 3
Which of the following may be values of a, b and c, if line l3 is perpendicular to both lines l1 and l2?
(a) a = -2, b = -2, c = .5
(b) a = -2, b = -2, c = 2
(c) a = -2, b = -2, c = -2
(d) a = -2, b = 2, c = .5
(e) a = 2, b = -2, c = 2
· Question #3: The management team of a company has 250 men and 125 women. If 200 of the managers have a master degree, and 100 of the managers with the master degree are women, how many of the managers are men without a master degree?
(a) 125
(b) 150
(c) 175
(d) 200
(e) 225
· Question #4: In the figure below, the area of square ABCD is equal to the sum of the areas of triangles ABE and DCE. If AB = 6, then CE =

(a) 5
(b) 6
(c) 2
(d) 3
(e) 4
· Question #5:

If α and β are the angles of the right triangle shown in the figure above, then sin2α + sin2β is equal to:
(a) cos(β)
(b) sin(β)
(c) 1
(d) cos2(β)
(e) -1
· Question #6: The average of numbers (a + 9) and (a - 1) is equal to b, where a and b are integers. The product of the same two integers is equal to (b - 1)2. What is the value of a?
(a) a = 9
(b) a = 1
(c) a = 0
(d) a = 5
(e) a = 11

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