Test Prep Test Prep Certifications SAT2-MATHEMATICS Questions & Answers

• Question 151:

  Rob has six songs on his portable music player. How many different four-song orderings can Rob create?

  A. 30

  B. 60

  C. 120

  D. 360

  E. 720

  Correct Answer: D

  The order of the four songs is important. The orderings A, B, C, D and A, C, B, D contain the same four songs, but in different orders. Both orderings must be counted. The number of six-choose-four orderings is equal to (6)(5)(4)(3)= 360.

• Question 152:

  A dormitory now houses 30 men and allows 42 square feet of space per man. If five more men are put into this dormitory, how much less space will each man have?

  A. 5 square feet

  B. 6 square feet

  C. 7 square feet

  D. 8 square feet

  E. 9 square feet

  Correct Answer: B

  Explanation:

  30 men X 42 square feet = 1,260 square feet of space; 1,260 square feet ÷ 35 men = 36 square feet; 42 – 36 = 6, so each man will have 6 less square feet of space.

• Question 153:

  If 30% of r is equal to 75% of s, what is 50% of s if r = 30?

  A. 4.5

  B. 6

  C. 9

  D. 12

  E. 15

  Correct Answer: B

  If r = 30, 30% of r = (0.30)(3) = 9. 9 is equal to 75% of s. If 0.75s = 9, then s = 12. 50% of s = (0.50)(12) =

  6.

• Question 154:

  

  In the graph above, ABCD is a square. What are the coordinates of point B?

  A. (–1,–4)

  B. (–1,4)

  C. (–1,6)

  D. (–3,1)

  E. (–3,4)

  Correct Answer: B

  Explanation:

  Point B is the same distance from the y-axis as point A, so the x-coordinate of point B is the same as the x-

  coordinate of point A: –1. Point B is the same distance from the x-axis as point C, so the y-coordinate of

  point B is the same as the y-coordinate of point C: 4. The coordinates of point B are (–1,4).

• Question 155:

  

  Line is perpendicular to line

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  E. Option E

  Correct Answer: E

  Explanation:

  Perpendicular lines have slopes that are negative reciprocals of each other. The slope of the line given is 2/1.

  The negative reciprocal of 2/1 is 1/2. Every line with a slope of -3/4 is perpendicular to the given line; y= 3/2x + i5 is perpendicular to y = 2/3x – i.

• Question 156:

  

  If the expression then one possible value of x could be

  A. -1

  B. -12

  C. -5

  D. 1

  E. 2

  Correct Answer: A

  Cross multiply and solve for x: