Mathematics 17 August 2004 Questions Answer Keys

**The University of the State of New York **Regents High School Examination

Mathematics B

Tuesday, August 17, 2004 — 8:30 to 11:30 a.m., only

Print Your Name: ______________________________________________________

Print Your School’s Name: ________________________________________________

**1. Which condition does not prove that two triangles are congruent?**

- (1) SSS ≅ SSS
- (2) SSA ≅ SSA
- (3) SAS ≅ SAS
- (4) ASA ≅ ASA

**2. The speed of a laundry truck varies inversely with the time it takes to reach its destination. If the truck takes 3 hours to reach its destination traveling at a constant speed of 50 miles per hour, how long will it take to reach the same location when it travels at a constant speed of 60 miles per hour?**

- (1) 2
^{1}/_{3} - (2) 2 hours
- (3) 2½
- (4) 2
^{2}/_{3}

**3. Which set of ordered pairs is not a function?**

- (1) {(3,1), (2,1), (1,2), (3,2)}
- (2) {(4,1), (5,1), (6,1), (7,1)}
- (3) {(1,2), (3,4), (4,5), (5,6)}
- (4) {(0,0), (1,1), (2,2), (3,3)}

**4. A circle has the equation (x + 1) ^{2} + (y – 3)^{2} = 16. What are the coordinates of its center and the length of its radius?**

- (1) (–1,3) and 4
- (2) (1,–3) and 4
- (3) (–1,3) and 16
- (4) (1,–3) and 16

**5. The mean of a normally distributed set of data is 56, and the standard deviation is 5. In which interval do approximately 95.4% of all cases lie?**

- (1) 46–56
- (2) 46–66
- (3) 51–61
- (4) 56–71

**6. The graph below represents f(x).**

Which graph best represents f(–x)?

**7. When simplified, i^{27} + i^{34} is equal to**

- (1) i
*i*^{61}- (3) –
*i*– 1 - (4)
*i*– 1

**8. The accompanying diagram shows a child’s spin toy that is constructed from two chords intersecting in a circle. The curved edge of the larger shaded section is one-quarter of the circumference of the circle, and the curved edge of the smaller shaded section is one-fifth of the circumference of the circle.**

What is the measure of angle x?

- (1) 40°
- (2) 72°
- (3) 81°
- (4) 108°

**9. If sin A = ^{4}/_{5}, tan B = ^{5}/_{12}, and angles A and B are in Quadrant I, what is the value of sin (A + B)?**

- (1)
^{63}/_{65} - (2) –
^{63}/_{65} - (3)
^{33}/_{65} - (4) –
^{33}/_{65}

**10. If the tangent of an angle is negative and its secant is positive, in which quadrant does the angle terminate?**

- (1) I
- (2) II
- (3) III
- (4) IV

**11. The equation 2x ^{2} + 8x + n = 0 has imaginary roots when n is equal to**

- (1) 10
- (2) 8
- (3) 6
- (4) 4

**12. What is the middle term in the expansion of (x + y) ^{4}?**

- (1) x
^{2}y^{2} - (2) 2x
^{2}y^{2} - (3) 6x
^{2}y^{2} - (4) 4x
^{2}y^{2}

**13. What is the image of point (1,1) under r _{x-axis°} R_{0,90°}?**

- (1) (1,1)
- (2) (1,–1)
- (3) (–1,1)
- (4) (–1,–1)

**14. How many distinct triangles can be formed if m∠A = 30, side b = 12, and side a = 8?**

- (1) 1
- (2) 2
- (3) 3
- (4) 0

**16. What is the inverse of the function y = log _{4}x?**

- (1) x
^{4}= y - (2) y
^{4}= x - (3) 4
^{x}= y - (4) 4
^{y}= x

**17. Which angle is coterminal with an angle of 125°?**

- (1) –125°
- (2) –235°
- (3) 235°
- (4) 425°

- (1) 8.9 ft
- (2) 15.0 ft
- (3) 22.0 ft
- (4) 23.0 ft

**19. The path traveled by a roller coaster is modeled by the equation y = 27 sin 13x + 30. What is the maximum altitude of the roller coaster?**

- (1) 13
- (2) 27
- (3) 30
- (4) 57

**Mathematics 17 August 2004 Questions Answers Keys**

Mathematics Examination Question |

Scoring Key and Rating Guide |

**See also:**