Sat Math Easy Practice Worksheet With Answer Key Page 15
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17SAT Math Easy Practice Quiz #2 Answers
6. C
(Estimated Difficulty Level: 1)
9. E
(Estimated Difficulty Level: 2)
When two angles of a triangle are given, you can always
◦
◦
First, notice that the 140
and x
angles lie along a line,
◦
find the third, since the angles must add up to 180
.
◦
which means that they add to 180
. This means that
◦
◦
◦
◦
Here, the third angle is 180
60
60
= 60
. This
x = 40. Since x + y + z = 180, 40 + y + z = 180 so that
is a triangle that appears frequently on the SAT, and
y + z = 140.
you should memorize it. A triangle whose angles are
◦
all 60
is an equilateral triangle: all of the sides are the
If you can remember the following bit of geometry, you
same length. So, we know right away that the length of
can solve problems like this quickly. The bit is: “An
segment AB is 6.
exterior angle of a triangle is equal to the sum of the
◦
opposite interior angles.” Here, 140
is the exterior an-
gle and y + z is the sum of the opposite interior angles,
so y + z = 140. That was fast!
1
or .25
(Estimated Difficulty Level: 2)
7.
4
For this problem, you need to know that the volume of
2
a right circular cylinder is V = πr
h. This formula is
10. A
(Estimated Difficulty Level: 2)
given at the beginning of each SAT math section, and
circular cylinders don’t appear that often, so you don’t
To do this question, you need to remember that par-
have to memorize it; just know where the formula is.
allel lines always have the same slope. Also, when the
Here we are given V and r and asked to find h. Using
equation of a line is given by y = mx + b, the slope is
2
the formula: 9π = π(6)
h so that 9 = 36h, or h = 1/4.
equal to m. So, we just need to find the slope of the
line 6x + 3y = 7. One way to do this is to solve for y:
3y =
6x + 7 so that y =
2x + (7/3). The slope is
then
2, making answer A the correct one.
8. B
(Estimated Difficulty Level: 2)
Useful SAT trick! When a line is given in the form
Let the length of AB be x, and set up a proportion.
Ax + By = C, the slope of the line is
A/B. For
Don’t forget that 2 : 5 is just another way of specifying
example, to find the slope of 6x + 3y = 7, just divide 6
the fraction 2/5. We have:
by 3 and put a minus sign in front: slope =
6/3 =
2.
You’re done!
AB
x
2
=
=
.
AC
25
5
To solve, cross-multiply: 5x = 2 · 25 so that x = 10.
pg. 15
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