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SAT Subject Mathematics Level 1 Questions
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, if the coefficients of f(x) are relatively prime integers?
x
_{1}
= 3 and x
_{2}
= -3
x
_{1}
= 6 and x
_{2}
= -6
x
_{1}
= 5 and x
_{2}
= -4
x
_{1}
= -5 and x
_{2}
= 4
x
_{1}
= 6 and x
_{2}
= 0
Question 2: In the (x, y) coordinate plane, three lines have the equations:
l
_{1}
: y = ax + 1
l
_{2}
: y = bx + 2
l
_{3}
: y = cx + 3
Which of the following may be values of
a
,
b
and
c
, if line l
_{3}
is perpendicular to both lines l
_{1}
and l
_{2}
?
a = -2, b = -2, c = .5
a = -2, b = -2, c = 2
a = -2, b = -2, c = -2
a = -2, b = 2, c = .5
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?
125
150
175
200
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 =
5
6
2
3
4
Question 5: If α and β are the angles of the right triangle shown in the figure above, then sin
^{2}
α + sin
^{2}
β is equal to:
cos(β)
sin(β)
1
cos
^{2}
β
-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 = 9
a = 1
a = 0
a = 5
a = 11