Mathematics 27 January 2006

Mathematics 27 January 2006 Questions Answer Keys

The University of the State of New York
REGENTS HIGH SCHOOL EXAMINATION
MATHEMATICS B
Friday, January 27, 2006 — 9:15 a.m. to 12:15 p.m., only
Print Your Name: ______________________________________________________
Print Your School’s Name:_________________________________________________

1. What is the value of 

  • (1) 70
  • (2) 130
  • (3) 470
  • (4) 530
Answer: (3) 470 

2. The effect of pH on the action of a certain enzyme is shown on the accompanying graph.

What is the domain of this function?

  • (1) 4 ≤ x ≤ 13
  • (2) 4 ≤ y ≤ 13
  • (3) x ≥ 0
  • (4) y ≥ 0
Answer: (1) 4 ≤ x ≤ 13  

3. Which graph shows that soil permeability varies inversely to runoff?

Answer: (1)   

4. On a standardized test, a score of 86 falls exactly 1.5 standard deviations below the mean. If the standard deviation for the test is 2, what is the mean score for this test?

  • (1) 84
  • (2) 84.5
  • (3) 87.5
  • (4) 89
Answer: (4) 89  

5. Which transformation of the graph of y = x2 would result in the graph of y = x2 + 2?

  • (1) D2
  • (2) T0,2
  • (3) ry = 2
  • (4) R0,90
Answer: (2) T0,2  

6. A sound wave is modeled by the curve y = 3 sin 4x. What is the period of this curve?

  • (1) π
  • (2) π/2
  • (3) 3
  • (4) 4
Answer: (2) π/2  

7. If √2x – 1 + 2 = 5 , then x is equal to

  • (1) 1
  • (2) 2
  • (3) 5
  • (4) 4
Answer: (3) 5  

8. The expression (1 + cos x)(1 – cos x) is equivalent to

  • (1) 1 
  • (2) sec2 x
  • (3) sin2 x
  • (4) csc2 x
Answer: (3) sin2 x  
Answer: (2)   

10. What is the solution of the inequality |y + 8| > 3?

  • (1) y > –5 or y < –11
  • (2) y > –5
  • (3) –11 < y < –5
  • (4) –5 < y < 11
Answer: (1) y > –5 or y < –11  
Answer: (3)   

12. In physics class, Eva noticed the pattern shown in the accompanying diagram on an oscilloscope.

Which equation best represents the pattern shown on this oscilloscope?

Answer: (1)   
Answer: (2)   

14. The roots of the equation 2x2 – 5 = 0 are

  • (1) imaginary
  • (2) real, rational, and equal
  • (3) real, rational, and unequal
  • (4) real and irrational
Answer: (4) real and irrational 

15. What is the radian measure of the angle formed by the hands of a clock at 2:00 p.m.?

  • (1) π/2 
  • (2) π/3 
  • (3) π/4 
  • (4) π/6 
Answer: (2) π/3  

16. If θ is an angle in standard position and P(–3,4) is a point on the terminal side of θ, what is the value of sin θ?

  • (1) 3/5 
  • (2) – 3/5 
  • (3) 4/5 
  • (4) – 4/5 
Answer: (3) 4/5   
Answer: (4)    

18. What are the coordinates of point A′, the image of point A(–4,1) after the composite transformation R90° ° r y=x where the origin is the center of rotation?

  • (1) (–1,–4)
  • (2) (–4,–1)
  • (3) (1,4)
  • (4) (4,1)
Answer: (4) (4,1) 

19. The accompanying diagram shows a 24-foot ladder leaning against a building. A steel brace extends from the ladder to the point where the building meets the ground. The brace forms a right angle with the ladder.

If the steel brace is connected to the ladder at a point that is 10 feet from the foot of the ladder, which equation can be used to find the length, x, of the steel brace?

Answer: (1)  

20. The center of a circle represented by the equation (x – 2)2 + (y + 3)2 = 100 is located in Quadrant

  • (1) I
  • (2) II
  • (3) III
  • (4) IV
Answer: (4) IV 

Mathematics 27 January 2006 Questions Answers Keys

 Mathematics 27 January 2006Mathematics Examination Question
Mathematics 27 January 2006Scoring Key and Rating Guide

See also: 

0 comments… add one

Leave a Comment