SAT Practice Test 4, Section 4: Questions 16 - 18

The following are worked solutions for the questions in the math sections of the SAT Practice Tests found in the Official SAT Study Guide.

It would be best that you go through the SAT practice test questions in the Study Guide first and then look at the worked solutions for the questions that you might need assistance in. Due to copyright issues, we are not able to reproduce the questions, but we hope that the worked solutions will be helpful.

16. Correct answer: 5/11

Given:
The table

40% of the voting-age population actually voted

To find:

Turnout for the election =

Solution:
40% of the voting-age population actually voted =
40% × (1,200 + 1,300) = 0.4 × 2,500 = 1000

From the table, number of registered voters = 1,000 + 1,200 = 2,200

Answer:

17. Correct answer: 8

Given:
A 3-dimensional figure with two parallel bases and 18 edges
Line segments are drawn from vertex V to each of the other 11 vertices

To find:
The number of line segments that will not lie on the edge of the figure.

Solution:
First, consider the upper base which contains the vertex V.

We can draw 3 line segments from V to the other vertices (not including those that lie on the edge of the figure).

Next, we consider the number of line segments from V to the 6 vertices of the lower base. One of the line segments lie on the edge of the figure. So there are 5 line segments from V that do not lie on the edge of the figure.

The total number of line segments is 3 + 5 = 8

Answer: 8

18. Correct answer: 16

Given:
ABCD is a rectangle
Points A and C lie on the graph of y = px 3
Area of ABCD is 4

To find:
The value of p

Solution:
Topic(s): Coordinate geometry

Answer: 16

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