Sat Math Easy Practice Worksheet With Answer Key Page 17
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17SAT Math Easy Practice Quiz #2 Answers
Data, Statistics, and Probability
5. E
(Estimated Difficulty Level: 2)
Consider furniture set A: it consists of 1 table and 7
1. C
(Estimated Difficulty Level: 1)
chairs, which means that the price of set A in 2007 is
1×$80+7×$35 = $325. (Your calculator may be useful
Each angle in a rectangle is a right angle: each measures
for problems like this one.) Similarly, the price of set B
◦
90
. The average in degrees of the four angles is just
in 2007 is 2 × $80 + 5 × $35 = $335 and the price of set
(90 + 90 + 90 + 90)/4 = 90.
C in 2007 is 3 × $80 + 2 × $35 = $310. The greatest of
these three is $335, so answer E is correct.
2. B
(Estimated Difficulty Level: 1)
6. A
(Estimated Difficulty Level: 2+)
The probability of an event is the number of ways the
Since the average of a group of numbers is the sum of
event can happen divided by the total number of possi-
the numbers divided by the number of numbers, we can
ble outcomes. In this case, there are 9 possible outcomes
make an equation:
(the digits from 1 to 9). There are only two multiples
of 4 from 1 to 9: 4 and 8. So, the probability is 2/9.
2 + 10 + m + 12 + 4
= m.
5
Multiplying both sides by 5 gives m + 28 = 5m so that
4m = 28, or m = 7. Notice that this question gave us
superfluous information that m is the median. (That
3. B
(Estimated Difficulty Level: 2)
would normally make this problem a level 3 question,
but I think you’re ready for these since you’ve worked
Don’t forget that the average of a bunch of numbers is
through the whole quiz. :)
the sum of the numbers divided by how many numbers
in the bunch. We can set up an equation for the average:
This question had a bit of tricky algebra. Here’s another
solution method: use the answers by substituting them
12 + a + 6 + 8 + 2 + 14
in for m until it all works. If you pick answer C, then
= 6.
6
m = 9 and the average of the numbers is (2 + 10 + 9 +
12 + 4)/5 = 7.4, which is not equal to m, so answer C is
Multiplying both sides by 6 gives a+42 = 36, or a =
6.
incorrect. Keep trying answers; you’ll find that answer
A works perfectly.
4. D
(Estimated Difficulty Level: 2)
When making a pie chart, each “wedge” takes up the
fraction of the circle equal to the percent value repre-
sented by the wedge. So, a wedge representing 40% has
◦
◦
a central angle of 0.40 × 360
= 144
. Any figure on the
SAT, including pie charts, is to scale unless otherwise
noted. So only the cabbage portion of the pie chart
◦
could possibly be 144
, which makes answer D the cor-
rect one. (Yes, I know, I can’t believe cabbage beat out
turnip for favorite vegetable either!)
pg. 17
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