# UNIVERSITY OF WISCONSIN SYSTEM

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 Name UNIVERSITY OF WISCONSIN SYSTEM MATHEMATICS PRACTICE EXAM Check us out at our website:

2 GENERAL INSTRUCTIONS: You will have 90 minutes to complete the mathematics practice test. Work rapidl but carefull. Do not spend too much time on an one question. If ou have time after ou have finished the test, ou ma go back and review our answers. PLEASE NOTE that the use of a non-graphing calculator on this test is optional. No question on this test requires the use of a calculator. GRAPHING CALCULATORS ARE NOT ALLOWED. You ma not share a calculator. When ou take the official Math Placement Test, our placement will be based on three math scores which will be used in combination to determine our optimal math placement. In order to get the most accurate assessment using this practice test, ou should tr to duplicate the actual testing situation as closel as possible. When taking the test, ou should not use an additional materials or look up the answers to the questions. You should onl allow ourself 90 minutes to take this test and should take the entire test in one sitting. If possible, take the test in a quiet room where ou will not be interrupted. When ou have completed the test, ou should score our test using the answer ke and scoring instructions provided on the last page.

3 . (a + b) + (a + (b + = a) (a + b + d) (a + b) b) 7a + b c e) 7a + b + 6c 7a b + c. ( ) = a) d) + 9 b) + 9 e) % of 60 is a) d) b) 7 e) What is the area of the given figure?. The area of triangle XYZ is Y a) d) 0 b) e) 0 7 X 0 a) 0 d) Z 7. In which triangle is the sum of the measures of the angles the greatest? b) e) 0 8 N S V Y M O R T U W X Z. a) d) 6 b) e) 8 a) MNO d) XYZ b) RST e) None of these UVW MATH PRACTICE TEST FORM

4 8. Fifteen ounces of concentrate is mied with ounces of water to make 60 ounces of orange juice. What percent of the orange juice is concentrate? a) d) 0 b) e). Subtracting n from added to three times n is equal to a) n d) n b) n + e) n + n +. Which best describes how angles K, L, and M are related? 9. = a) 7 d) b) e) None of these K L a) K + L = M d) K + L + M = 80 b) K + L > M e) More information needed K + L < M M 0. + = 0 0 b) e) 9 0. ( ) + ( ) = a) 7 d) b) e) square ards is a) square foot d) 8 square foot b) square foot e) square foot 7 square foot 6

5 . If =, then = Solve for : + ( ) = ( + ) a) = d) = b) = e) = b) e) 8 = 6. If ABCD is a rectangle, then A F E B 9. Which of the following has been reduced to lowest terms? 6 6 b) e) D C a) DCEA is a rectangle. b) DCBF is a parallelogram. DCEF is a trapezoid. d) DCEF is a parallelogram. e) DCEF is a rhombus. 0. (a ) = a) 6a d) 9a 6 b) 6a 6 e) 9a 9 9a F + 7. If d =, then p = p a) d(f + ) d) b) df e) d F + F + d d F. Epress in scientific notation. a) b) d) e) MATH PRACTICE TEST FORM 7

6 . If a train travels 60 miles in 0 minutes, what is its average speed in miles per hour? a) 0 d) 60 b) 00 e) Right triangle ABC has AC = and AB =. The area of triangle ABC is a) 78 B b) 6 60 d) 0 A C e) None of these ( ) n (A B). Find the value of when C n =, A =, B = and C =. a) 6 d) b) e) = a) 60 d) b) 7 e) 0. The remainder when is divided b is a) d) 7 b) e) 9 8. Which of the functions listed below has this graph? a) f() = b) f() = f() =. If h() =, which of the following is not defined? a) h(0) d) h() b) h() e) h( ) h( ) d) f() = log e) f() = log 8

7 9. The slope of the line with the equation = 7 + is a) d) b) 7 e) a 6 = a) a 6 d) a 8 9 b) a e) a 67 a 0. () (9 ) = a) 7 d) b) e) 9. What fraction of the rectangle s area is shaded? 6 6. Find all values of for which ( + )( ) = 0 a), d), b) e) b), e),,. Which of the following represent(s) functions of? i ii iii a) i onl d) i and iii b) ii onl e) i, ii, and iii iii onl MATH PRACTICE TEST FORM 9

8 . One factor of is a) + d) b) + e) + 8. The graph of + = crosses the ais at a) = d) = b) = e) = 6 = 6. ( + )( ) = a) b) d) + 7 e) When ou solve the equation + = 0, how man roots are greater than? a) no root d) three roots b) one root e) all roots two roots 7. An equation of the circle with center (, k) and radius is a) + = k b) ( ) + ( + k) = 0. The graph of a function = f() is given b ( ) + ( + k) = d) ( + ) + ( k) = e) ( + ) + ( k) = The domain of the inverse f () is the set of real numbers between a) 0 and d) and b) and e) and and 0

9 . Find the area of the shaded region between the lines.. If (a + ) = a 6 + 9, then a = a) b) 6 8 (0,) (0,6) (,0) a) d) b) e) 6 d) 0 e). In lowest terms, = + ( ) ( )( + ) 6. If log = log 8, then = 8 b) e) log 8 log 8 8 b) 8 e) = < 9 is equivalent to a) < < d) < < b) < < e) < < b) e) 6 6. < One factor of 8 + is a) + d) b) e) Which of the following equations has the same solution as =? + a) = 0 b) 9 + = = 0 d) = 0 e) = 0 MATH PRACTICE TEST FORM

10 9. If f() = +, then equals a) d) + h b) h e) + h + h f( + h) f() h. A value in the solution of } + = 9 + = 0 a) 0 d) is b) e) 6 0. ( ) + = a) 0 d) b) e) + ( ) +. A 90 pound coil of cable is 00 feet long. If a 0 foot length is cut off, what is the weight in pounds of the remaining cable? a) 9 d) 80 b) e) The distance between the points (,) and (,) is a) ( + ) ( + ) b) + ( ) + ( ) d) ( ) + ( ). The number of bees, P, in a colon doubles ever ears. If t is measured in ears and P is the initial number of bees, then a) P = P t/ d) P = P t o b) P = P t e) P = P t/ o P = P t o o o o e) ( ) + ( )

11 . The function f() is graphed over the interval from = to = 8. Which statement is true about f() over the given interval? (,) f() (,/) (0,) (,0) 6 8 (6, ) a) The largest value of the function is 8. b) The maimum value of f() is. The solution to f() = 0 is. d) f() = 0 when =. e) None of these 7. The function f() = + multiplies the input b then adds. Then f (), the inverse of f, a) multiplies the input b, then subtracts. b) multiplies the input b, then subtracts. subtracts from the input, then multiplies b. d) adds to the input, then mulitiplies b. e) multiplies the input b, then subtracts. 6. How man real numbers are solutions for + 7 = 0? a) none d) three b) one e) more than three two 8. The line = 0 is parallel to a) 8 = 6 6 b) = 0 = d) = 7 e) = 0 9. If ( + a) = 0 + a, then a = a) d) b) e) 0 MATH PRACTICE TEST FORM

12 60. A line not parallel to = a is a) = a d) a = + b) = a a e) a = a = a 6. Which of the following equations has a graph that is a straight line? a) = + b) + = = d) = 6. The cost, in thousands of dollars, of producing thousand tetbooks is C() = The revenue, also in thousands of dollars, is R() =. Find the profit or loss if thousand tetbooks are produced. (Profit = Revenue Cost) a) 0 thousand dollar loss e) None of these 6. Let A, B, C be distinct points on a circle with diameter AB. Then we ma conclude that C b) thousand dollar loss thousand dollar loss d) 0 thousand dollar profit A B e) thousand dollar profit 6. The total production costs C to manufacture S skateboards are shown below for a week period. Write a linear equation that represents this data. # OF PRODUCTION SKATEBOARDS COSTS WEEK \$8,00 WEEK \$9,96 WEEK 08 \$,08 a) AC is longer than AB. b) angle ABC is greater than angle BAC. angle BAC is greater than angle ACB. d) angles BAC and ACB are complementar. e) angle ACB is a right angle. a) C = 8S +,76 b) C = 8S +,00 C = 8S + 8,00 d) C = 6.70S + 8,00 e) C = 90.86S +,00

13 6. If sin A = and 0 < A < 90, then cos A = 68. Let θ be the angle formed b the line = and the positive ais. Then 8 b) e) sin θ equals a) 0 d) b) 0 e) Suppose a triangle has the dimensions indicated below: 69. If h is an altitude of the triangle, then the area is b = 0 π A = a = 0 B θ a h c Then sin B equals a) 60 d) b) 6 e) b a) bc d) ab sin θ b) ab e) ab cos θ ab tan θ 67. cos θ tan θ = a) sin θ d) cot θ b) cos θ sin θ e) sec θ MATH PRACTICE TEST FORM

14 70. A sketch of the graph of = tan() is a) d) 7. If cos θ = and 0 < θ < 90, then cos (90 θ) equals a) d) b) e) b) e) 7. The cosine of the angle θ in the figure is θ, 7. Given ABC with D the midpoint of side AC and E the midpoint of side BC. B E A D C b) e) Then which of the following is not true? a) AB DE b) AB = DE ADE = DEC d) A = EDC 7. In the figure below, ABD = 90 and BCD = 90. The length of BC is A B e) ABC is similar to DEC D C a) d) b) e) 6 6

15 7. Which of the following statements is false? a) All squares are similar. b) All congruent rectangles are similar. All equiangular triangles are similar. 78. The triangle ABC is circumscribed about a circle with P, Q, and R as the points of tangenc. If AR = 0, CQ = 8, and BQ =, then the length of AB is A d) All equilateral triangles are similar. e) All right triangles are similar. R P C Q B 76. If cos = 0.70, then cos ( ) = a) 0.70 d) 0.0 b) 0.0 e) 0.70 a) 0 d) 6 b) e) The solutions to sin = in the interval 0 π are 77. Suppose a foot ladder is leaning against a vertical wall, where the bottom of the ladder is a distance of feet from the wall. Then the angle θ that the ladder makes with the ground is given b π a) =, 6 π b) =, π 6 π π π π =,,, 7π π π π d) =,,, π π 7π e) =,,, π π 6 θ a) d) cos b) cos e) cos cos MATH PRACTICE TEST FORM 7

16 80. Let f() have the graph shown below: 8. tan 0 = π π π π b) e) Then f() could be a) sin d) sin () b) cos () e) sin () 8. An angle of radian measure,, has degree measure of 80 π 80 π cos π b) e) None of these 80 π sin () + cos () = a) 9 d) cos (6) b) e) None of these 8. sin θ = a) sin θ b) cos θ sin θ cos θ d) sin θ + cos θ 8. In the figure below, AB = BD and BE is perpendicular to AC. If AC = and AD = 8, find AE. B e) sin θ sin θ A E D C a) d) b) e) None of these 8 END OF TEST

17 ANSWER KEY: The answers to this practice test are given below. Give ourself one point for each question ou answered correctl and zero points for each question ou answered incorrectl. Add up our points for each section: Math Basics, Algebra, and Trigonometr. An average score on Math Basics is between and 9. An average score on Algebra is between 0 and 6 and an average score on Trigonometr is between and. Placement into a remedial level math course is determined solel b our score on the Math Basics section of the test. Therefore, ou would need to score 0 or higher on the Math Basics section to test out of a remedial level math course. Math Basics Algebra Trigonometr. B. D. A. D. D 6. C 7. E 8. C 9. D 0. E. C. A. D. D. D 6. C 7. D 8. B 9. B 0. D. D. C. D. B. B 6. D 7. C 8. B 9. E 0. D. C. E. C. B. B 6. E 7. E 8. E 9. C 0. C. B. A. E. D. D 6. B 7. A 8. D 9. E 0. E. D. C. E. A. D 6. A 7. C 8. D 9. D 60. C 6. B 6. B 6. D 6. E 6. A 66. D 67. A 68. E 69. D 70. D 7. C 7. B 7. B 7. B 7. E 76. A 77. D 78. C 79. E 80. E 8. C 8. C 8. B 8. D 8. C

### Start Accuplacer. Elementary Algebra. Score 76 or higher in elementary algebra? YES

COLLEGE LEVEL MATHEMATICS PRETEST This pretest is designed to give ou the opportunit to practice the tpes of problems that appear on the college-level mathematics placement test An answer ke is provided

### Mathematics Placement Examination (MPE)

Practice Problems for Mathematics Placement Eamination (MPE) Revised August, 04 When you come to New Meico State University, you may be asked to take the Mathematics Placement Eamination (MPE) Your inital

### 11-4 Areas of Regular Polygons and Composite Figures

1. In the figure, square ABDC is inscribed in F. Identify the center, a radius, an apothem, and a central angle of the polygon. Then find the measure of a central angle. Center: point F, radius:, apothem:,

### 1. An isosceles trapezoid does not have perpendicular diagonals, and a rectangle and a rhombus are both parallelograms.

Quadrilaterals - Answers 1. A 2. C 3. A 4. C 5. C 6. B 7. B 8. B 9. B 10. C 11. D 12. B 13. A 14. C 15. D Quadrilaterals - Explanations 1. An isosceles trapezoid does not have perpendicular diagonals,

### HONG KONG EXAMINATIONS AUTHORITY HONG KONG CERTIFICATE OF EDUCATION EXAMINATION 2001 MATHEMATICS PAPER 2

00-CE MATH PAPER HONG KONG EXAMINATIONS AUTHORITY HONG KONG CERTIFICATE OF EDUCATION EXAMINATION 00 MATHEMATICS PAPER 5 am 45 pm (½ hours) Subject Code 80 Read carefull the instructions on the Answer Sheet

### Core Maths C2. Revision Notes

Core Maths C Revision Notes November 0 Core Maths C Algebra... Polnomials: +,,,.... Factorising... Long division... Remainder theorem... Factor theorem... 4 Choosing a suitable factor... 5 Cubic equations...

### Review of Essential Skills and Knowledge

Review of Essential Skills and Knowledge R Eponent Laws...50 R Epanding and Simplifing Polnomial Epressions...5 R 3 Factoring Polnomial Epressions...5 R Working with Rational Epressions...55 R 5 Slope

### CHAPTER 38 INTRODUCTION TO TRIGONOMETRY

CHAPTER 38 INTRODUCTION TO TRIGONOMETRY EXERCISE 58 Page 47. Find the length of side x. By Pythagoras s theorem, 4 = x + 40 from which, x = 4 40 and x = 4 40 = 9 cm. Find the length of side x. By Pythagoras

### http://www.castlelearning.com/review/teacher/assignmentprinting.aspx 5. 2 6. 2 1. 10 3. 70 2. 55 4. 180 7. 2 8. 4

of 9 1/28/2013 8:32 PM Teacher: Mr. Sime Name: 2 What is the slope of the graph of the equation y = 2x? 5. 2 If the ratio of the measures of corresponding sides of two similar triangles is 4:9, then the

### Higher Mathematics Homework A

Non calcuator section: Higher Mathematics Homework A 1. Find the equation of the perpendicular bisector of the line joining the points A(-3,1) and B(5,-3) 2. Find the equation of the tangent to the circle

### Higher Geometry Problems

Higher Geometry Problems ( Look up Eucidean Geometry on Wikipedia, and write down the English translation given of each of the first four postulates of Euclid. Rewrite each postulate as a clear statement

### Higher. Functions and Graphs. Functions and Graphs 18

hsn.uk.net Higher Mathematics UNIT UTCME Functions and Graphs Contents Functions and Graphs 8 Sets 8 Functions 9 Composite Functions 4 Inverse Functions 5 Eponential Functions 4 6 Introduction to Logarithms

### A. 3y = -2x + 1. y = x + 3. y = x - 3. D. 2y = 3x + 3

Name: Geometry Regents Prep Spring 2010 Assignment 1. Which is an equation of the line that passes through the point (1, 4) and has a slope of 3? A. y = 3x + 4 B. y = x + 4 C. y = 3x - 1 D. y = 3x + 1

### CSU Fresno Problem Solving Session. Geometry, 17 March 2012

CSU Fresno Problem Solving Session Problem Solving Sessions website: http://zimmer.csufresno.edu/ mnogin/mfd-prep.html Math Field Day date: Saturday, April 21, 2012 Math Field Day website: http://www.csufresno.edu/math/news

### ACT Math Vocabulary. Altitude The height of a triangle that makes a 90-degree angle with the base of the triangle. Altitude

ACT Math Vocabular Acute When referring to an angle acute means less than 90 degrees. When referring to a triangle, acute means that all angles are less than 90 degrees. For eample: Altitude The height

### TSI College Level Math Practice Test

TSI College Level Math Practice Test Tutorial Services Mission del Paso Campus. Factor the Following Polynomials 4 a. 6 8 b. c. 7 d. ab + a + b + 6 e. 9 f. 6 9. Perform the indicated operation a. ( +7y)

### Solution Guide for Chapter 6: The Geometry of Right Triangles

Solution Guide for Chapter 6: The Geometry of Right Triangles 6. THE THEOREM OF PYTHAGORAS E-. Another demonstration: (a) Each triangle has area ( ). ab, so the sum of the areas of the triangles is 4 ab

### 7. 080207a, P.I. A.A.17

Math A Regents Exam 080 Page 1 1. 08001a, P.I. A.A.6 On a map, 1 centimeter represents 40 kilometers. How many kilometers are represented by 8 centimeters? [A] 48 [B] 30 [C] 5 [D] 80. 0800a, P.I. G.G.38

### 11 Trigonometric Functions of Acute Angles

Arkansas Tech University MATH 10: Trigonometry Dr. Marcel B. Finan 11 Trigonometric Functions of Acute Angles In this section you will learn (1) how to find the trigonometric functions using right triangles,

### If a question asks you to find all or list all and you think there are none, write None.

If a question asks you to find all or list all and you think there are none, write None 1 Simplify 1/( 1 3 1 4 ) 2 The price of an item increases by 10% and then by another 10% What is the overall price

### Chapter 8 Geometry We will discuss following concepts in this chapter.

Mat College Mathematics Updated on Nov 5, 009 Chapter 8 Geometry We will discuss following concepts in this chapter. Two Dimensional Geometry: Straight lines (parallel and perpendicular), Rays, Angles

### Winter 2016 Math 213 Final Exam. Points Possible. Subtotal 100. Total 100

Winter 2016 Math 213 Final Exam Name Instructions: Show ALL work. Simplify wherever possible. Clearly indicate your final answer. Problem Number Points Possible Score 1 25 2 25 3 25 4 25 Subtotal 100 Extra

### Practice Unit tests Use this booklet to help you prepare for all unit tests in Higher Maths.

Practice Unit tests Use this booklet to help you prepare for all unit tests in Higher Maths. Your formal test will be of a similar standard. Read the description of each assessment standard carefully to

### MDPT - Geometry Practice Problems. 1. ABC is an isosceles triangle with base BC. L1 and L2 are parallel. 1=80. Find 4.

MDPT - Geometry Practice Problems 1. C is an isosceles triangle with base C. L1 and L are parallel. 1=80. Find 4. L1 1 4 a. 80 b. 50 c. 45 d. 60. In the figure, the measure of arc C is 7 π / 4 and O is

### Geometry Work Samples -Practice-

1. If ABCD is a square and ABE is an equilateral triangle, then what is the measure of angle AFE? (H.1G.5) 2. Square ABCD has a circular arc of radius 2 with the center at A and another circular arc with

### Topics Covered on Geometry Placement Exam

Topics Covered on Geometry Placement Exam - Use segments and congruence - Use midpoint and distance formulas - Measure and classify angles - Describe angle pair relationships - Use parallel lines and transversals

### Filling in Coordinate Grid Planes

Filling in Coordinate Grid Planes A coordinate grid is a sstem that can be used to write an address for an point within the grid. The grid is formed b two number lines called and that intersect at the

### 1. A person has 78 feet of fencing to make a rectangular garden. What dimensions will use all the fencing with the greatest area?

1. A person has 78 feet of fencing to make a rectangular garden. What dimensions will use all the fencing with the greatest area? (a) 20 ft x 19 ft (b) 21 ft x 18 ft (c) 22 ft x 17 ft 2. Which conditional

### Are You Ready? Circumference and Area of Circles

SKILL 39 Are You Read? Circumference and Area of Circles Teaching Skill 39 Objective Find the circumference and area of circles. Remind students that perimeter is the distance around a figure and that

### (a) (b) (c) (d) (e) Cannot be determined from the information given.

1. The geometric mean of six numbers is approximately 14.508. (The geometric mean of n numbers is the nth root of the product.) If three of the numbers are doubled and the other three are tripled, what

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Tuesday, August 13, 2013 8:30 to 11:30 a.m., only.

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Tuesday, August 13, 2013 8:30 to 11:30 a.m., only Student Name: School Name: The possession or use of any communications

### 6. The given function is only drawn for x > 0. Complete the function for x < 0 with the following conditions:

Precalculus Worksheet 1. Da 1 1. The relation described b the set of points {(-, 5 ),( 0, 5 ),(,8 ),(, 9) } is NOT a function. Eplain wh. For questions - 4, use the graph at the right.. Eplain wh the graph

### ALGEBRA 2/ TRIGONOMETRY

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA 2/ TRIGONOMETRY Tuesday, January 28, 2014 1:15 4:15 p.m. SAMPLE RESPONSE SET Table of Contents Question 28...................

### C1: Coordinate geometry of straight lines

B_Chap0_08-05.qd 5/6/04 0:4 am Page 8 CHAPTER C: Coordinate geometr of straight lines Learning objectives After studing this chapter, ou should be able to: use the language of coordinate geometr find the

### 16. Let S denote the set of positive integers 18. Thus S = {1, 2,..., 18}. How many subsets of S have sum greater than 85? (You may use symbols such

æ. Simplify 2 + 3 + 4. 2. A quart of liquid contains 0% alcohol, and another 3-quart bottle full of liquid contains 30% alcohol. They are mixed together. What is the percentage of alcohol in the mixture?

### Definitions, Postulates and Theorems

Definitions, s and s Name: Definitions Complementary Angles Two angles whose measures have a sum of 90 o Supplementary Angles Two angles whose measures have a sum of 180 o A statement that can be proven

### Math Placement Test Practice Problems

Math Placement Test Practice Problems The following problems cover material that is used on the math placement test to place students into Math 1111 College Algebra, Math 1113 Precalculus, and Math 2211

### ALGEBRA 2/TRIGONOMETRY

ALGEBRA /TRIGONOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA /TRIGONOMETRY Friday, June 19, 015 9:15 a.m. to 1:15 p.m., only Student Name: School Name: The possession

### General tests Algebra

General tests Algebra Question () : Choose the correct answer : - If = then = a)0 b) 6 c)5 d)4 - The shape which represents Y is a function of is : - - V A B C D o - - y - - V o - - - V o - - - V o - -if

### Right Triangles and SOHCAHTOA: Finding the Length of a Side Given One Side and One Angle

Right Triangles and SOHCAHTOA: Finding the Length of a Side Given One Side and One Angle Preliminar Information: is an acronm to represent the following three trigonometric ratios or formulas: opposite

### PERIMETER AND AREA OF PLANE FIGURES

PERIMETER AND AREA OF PLANE FIGURES Q.. Find the area of a triangle whose sides are 8 cm, 4 cm and 30 cm. Also, find the length of altitude corresponding to the largest side of the triangle. Ans. Let ABC

### Mathematics Paper 1 (Non-Calculator)

H National Qualifications CFE Higher Mathematics - Specimen Paper A Duration hour and 0 minutes Mathematics Paper (Non-Calculator) Total marks 60 Attempt ALL questions. You ma NOT use a calculator. Full

### INVESTIGATIONS AND FUNCTIONS 1.1.1 1.1.4. Example 1

Chapter 1 INVESTIGATIONS AND FUNCTIONS 1.1.1 1.1.4 This opening section introduces the students to man of the big ideas of Algebra 2, as well as different was of thinking and various problem solving strategies.

### NATIONAL QUALIFICATIONS

H Mathematics Higher Paper 1 Practice Paper A Time allowed 1 hour 0 minutes NATIONAL QUALIFICATIONS Read carefull Calculators ma NOT be used in this paper. Section A Questions 1 0 (40 marks) Instructions

### Sixth Grade Math Pacing Guide Page County Public Schools MATH 6/7 1st Nine Weeks: Days Unit: Decimals B

Sixth Grade Math Pacing Guide MATH 6/7 1 st Nine Weeks: Unit: Decimals 6.4 Compare and order whole numbers and decimals using concrete materials, drawings, pictures and mathematical symbols. 6.6B Find

### GEOMETRY (Common Core)

GEOMETRY (COMMON CORE) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY (Common Core) Wednesday, August 12, 2015 8:30 to 11:30 a.m., only Student Name: School Name: The

### Sample Test Questions

mathematics College Algebra Geometry Trigonometry Sample Test Questions A Guide for Students and Parents act.org/compass Note to Students Welcome to the ACT Compass Sample Mathematics Test! You are about

### 10-4 Inscribed Angles. Find each measure. 1.

Find each measure. 1. 3. 2. intercepted arc. 30 Here, is a semi-circle. So, intercepted arc. So, 66 4. SCIENCE The diagram shows how light bends in a raindrop to make the colors of the rainbow. If, what

### Functions and Graphs

PSf Functions and Graphs Paper 1 Section B 1. The points A and B have coordinates (a, a 2 ) and (2b, 4b 2 ) respectivel. Determine the gradient of AB in its simplest form. 2 2. hsn.uk.net Page 1 Questions

### HONG KONG EXAMINATIONS AUTHORITY HONG KONG CERTIFICATE OF EDUCATION EXAMINATION 1999 MATHEMATICS PAPER 2

99-CE MATHS Paper HONG KONG EXAMINATIONS AUTHORITY HONG KONG CERTIFICATE OF EDUCATION EXAMINATION 999 MATHEMATICS PAPER 5 am 45 pm (½ hours) Subject Code 80 Read carefully the instructions on the Answer

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. A) 110 B) 120 C) 60 D) 150

Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Convert the angle to decimal degrees and round to the nearest hundredth of a degree. ) 56

### Biggar High School Mathematics Department. National 5 Learning Intentions & Success Criteria: Assessing My Progress

Biggar High School Mathematics Department National 5 Learning Intentions & Success Criteria: Assessing My Progress Expressions & Formulae Topic Learning Intention Success Criteria I understand this Approximation

### GEOMETRY (Common Core)

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY (Common Core) Tuesday, June 2, 2015 1:15 to 4:15 p.m. MODEL RESPONSE SET Table of Contents Question 25...................

### 2009 Chicago Area All-Star Math Team Tryouts Solutions

1. 2009 Chicago Area All-Star Math Team Tryouts Solutions If a car sells for q 1000 and the salesman earns q% = q/100, he earns 10q 2. He earns an additional 100 per car, and he sells p cars, so his total

### Math Placement Test Study Guide. 2. The test consists entirely of multiple choice questions, each with five choices.

Math Placement Test Study Guide General Characteristics of the Test 1. All items are to be completed by all students. The items are roughly ordered from elementary to advanced. The expectation is that

### 24HourAnswers.com. Online Homework. Focused Exercises for Math SAT. Skill Set 12: Geometry - 2D Figures and 3D Solids

24HourAnsers.com Online Homeork Focused Exercises for Math SAT Skill Set 12: Geometry - 2D Figures and 3D Solids Many of the problems in this exercise set came from The College Board, riters of the SAT

### Mathematics. Total marks 100. Section I Pages marks Attempt Questions 1 10 Allow about 15 minutes for this section

04 HIGHER SCHOOL CERTIFICATE EXAMINATION Mathematics General Instructions Reading time 5 minutes Working time hours Write using black or blue pen Black pen is preferred Board-approved calculators ma be

### Core Maths C3. Revision Notes

Core Maths C Revision Notes October 0 Core Maths C Algebraic fractions... Cancelling common factors... Multipling and dividing fractions... Adding and subtracting fractions... Equations... 4 Functions...

### 9-1 Similar Right Triangles (Day 1) 1. Review:

9-1 Similar Right Triangles (Day 1) 1. Review: Given: ACB is right and AB CD Prove: ΔADC ~ ΔACB ~ ΔCDB. Statement Reason 2. In the diagram in #1, suppose AD = 27 and BD = 3. Find CD. (You may find it helps

### Math 113 Sample Exam III: Systems of Linear Equations & Geometry = 2.) 4.) 6.) 8.) 10.)

1 Math 11 Sample Eam III: Sstems of Linear Equations & Geometr Section I Sstem of Linear Equations Solve each sstem of linear equations using substitution 1.) 9 1.) 1.) 5 0 s r s r.) 1 Solve each sstem

### M3 PRECALCULUS PACKET 1 FOR UNIT 5 SECTIONS 5.1 TO = to see another form of this identity.

M3 PRECALCULUS PACKET FOR UNIT 5 SECTIONS 5. TO 5.3 5. USING FUNDAMENTAL IDENTITIES 5. Part : Pythagorean Identities. Recall the Pythagorean Identity sin θ cos θ + =. a. Subtract cos θ from both sides

### ALGEBRA READINESS DIAGNOSTIC TEST PRACTICE

1 ALGEBRA READINESS DIAGNOSTIC TEST PRACTICE Directions: Study the examples, work the problems, then check your answers at the end of each topic. If you don t get the answer given, check your work and

### MATH College Algebra Review for Test 1. (d) 3.97 (e) Write each of the following in scientific notation: (a) 0.

MATH 34 - College Algebra Review for Test Section.. Classif each of the following as one or more of the following: natural number, integer, rational number, or irrational number. (a) 5 (b) 7 (c) 2 3 (d)

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION COURSE I. Thursday, August 16, 2001 8:30 to 11:30 a.m.

The Universit of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE I Thursda, August 16, 2001 8:30 to 11:30 a.m., onl Notice... Scientific calculators

### D.3. Angles and Degree Measure. Review of Trigonometric Functions

APPENDIX D Precalculus Review D7 SECTION D. Review of Trigonometric Functions Angles and Degree Measure Radian Measure The Trigonometric Functions Evaluating Trigonometric Functions Solving Trigonometric

### Trigonometric Functions

Trigonometric Functions MATH 10, Precalculus J. Robert Buchanan Department of Mathematics Fall 011 Objectives In this lesson we will learn to: identify a unit circle and describe its relationship to real

### Content Area: GEOMETRY Grade 9 th Quarter 1 st Curso Serie Unidade

Content Area: GEOMETRY Grade 9 th Quarter 1 st Curso Serie Unidade Standards/Content Padrões / Conteúdo Learning Objectives Objetivos de Aprendizado Vocabulary Vocabulário Assessments Avaliações Resources

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS A. Tuesday, August 13, 2002 8:30 to 11:30 a.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS A Tuesday, August 13, 2002 8:30 to 11:30 a.m., only Print Your Name: Print Your School s Name: Print your name and the

### ALGEBRA 2/TRIGONOMETRY

ALGEBRA /TRIGONOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA /TRIGONOMETRY Thursday, January 9, 015 9:15 a.m to 1:15 p.m., only Student Name: School Name: The possession

### Algebra and Geometry Review (61 topics, no due date)

Course Name: Math 112 Credit Exam LA Tech University Course Code: ALEKS Course: Trigonometry Instructor: Course Dates: Course Content: 159 topics Algebra and Geometry Review (61 topics, no due date) Properties

### MTH 100 College Algebra Essex County College Division of Mathematics Sample Review Questions 1 Created June 6, 2011

MTH 00 College Algebra Essex County College Division of Mathematics Sample Review Questions Created June 6, 0 Math 00, Introductory College Mathematics, covers the mathematical content listed below. In

### MAT 0950 Course Objectives

MAT 0950 Course Objectives 5/15/20134/27/2009 A student should be able to R1. Do long division. R2. Divide by multiples of 10. R3. Use multiplication to check quotients. 1. Identify whole numbers. 2. Identify

### ALGEBRA 2/TRIGONOMETRY

ALGEBRA /TRIGONOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA /TRIGONOMETRY Tuesday, January 8, 014 1:15 to 4:15 p.m., only Student Name: School Name: The possession

### IUPUI Department of Mathematical Sciences Departmental Final Examination PRACTICE FINAL EXAM VERSION #1 MATH Precalculus

IUPUI Department of Mathematical Sciences Departmental Final Eamination PRACTICE FINAL EXAM VERSION #1 MATH 15900 Precalculus Eam directions similar to those on the departmental final. 1. DO NOT OPEN this

### Objectives. By the time the student is finished with this section of the workbook, he/she should be able

QUADRATIC FUNCTIONS Completing the Square..95 The Quadratic Formula....99 The Discriminant... 0 Equations in Quadratic Form.. 04 The Standard Form of a Parabola...06 Working with the Standard Form of a

### Algebra III. Lesson 33. Quadrilaterals Properties of Parallelograms Types of Parallelograms Conditions for Parallelograms - Trapezoids

Algebra III Lesson 33 Quadrilaterals Properties of Parallelograms Types of Parallelograms Conditions for Parallelograms - Trapezoids Quadrilaterals What is a quadrilateral? Quad means? 4 Lateral means?

### Higher Education Math Placement

Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication

### GEOMETRY 101* EVERYTHING YOU NEED TO KNOW ABOUT GEOMETRY TO PASS THE GHSGT!

GEOMETRY 101* EVERYTHING YOU NEED TO KNOW ABOUT GEOMETRY TO PASS THE GHSGT! FINDING THE DISTANCE BETWEEN TWO POINTS DISTANCE FORMULA- (x₂-x₁)²+(y₂-y₁)² Find the distance between the points ( -3,2) and

### 0810ge. Geometry Regents Exam 0810

0810ge 1 In the diagram below, ABC XYZ. 3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. Which two statements identify

### MATH LEVEL 1 ARITHMETIC (ACCUPLACER)

MATH LEVEL ARITHMETIC (ACCUPLACER) 7 Questions This test measures your ability to perform basic arithmetic operations and to solve problems that involve fundamental arithmetic concepts. There are 7 questions

### Answer: = π cm. Solution:

Round #1, Problem A: (4 points/10 minutes) The perimeter of a semicircular region in centimeters is numerically equal to its area in square centimeters. What is the radius of the semicircle in centimeters?

### San Jose Math Circle February 14, 2009 CIRCLES AND FUNKY AREAS - PART II. Warm-up Exercises

San Jose Math Circle February 14, 2009 CIRCLES AND FUNKY AREAS - PART II Warm-up Exercises 1. In the diagram below, ABC is equilateral with side length 6. Arcs are drawn centered at the vertices connecting

### Summer Math Exercises. For students who are entering. Pre-Calculus

Summer Math Eercises For students who are entering Pre-Calculus It has been discovered that idle students lose learning over the summer months. To help you succeed net fall and perhaps to help you learn

### of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433

Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property

### Complex Numbers. Misha Lavrov. ARML Practice 10/7/2012

Complex Numbers Misha Lavrov ARML Practice 10/7/2012 A short theorem Theorem (Complex numbers are weird) 1 = 1. Proof. The obvious identity 1 = 1 can be rewritten as 1 1 = 1 1. Distributing the square

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 13, 2009 8:30 to 11:30 a.m., only.

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, August 13, 2009 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of your

### MEMORANDUM. All students taking the CLC Math Placement Exam PLACEMENT INTO CALCULUS AND ANALYTIC GEOMETRY I, MTH 145:

MEMORANDUM To: All students taking the CLC Math Placement Eam From: CLC Mathematics Department Subject: What to epect on the Placement Eam Date: April 0 Placement into MTH 45 Solutions This memo is an

### D.2. The Cartesian Plane. The Cartesian Plane The Distance and Midpoint Formulas Equations of Circles. D10 APPENDIX D Precalculus Review

D0 APPENDIX D Precalculus Review APPENDIX D. The Cartesian Plane The Cartesian Plane The Distance and Midpoint Formulas Equations of Circles The Cartesian Plane Just as ou can represent real numbers b

### Mid-Chapter Quiz: Lessons 4-1 through 4-4

Find the exact values of the six trigonometric functions of θ. Find the value of x. Round to the nearest tenth if necessary. 1. The length of the side opposite is 24, the length of the side adjacent to

### Mathematical Procedures

CHAPTER 6 Mathematical Procedures 168 CHAPTER 6 Mathematical Procedures The multidisciplinary approach to medicine has incorporated a wide variety of mathematical procedures from the fields of physics,

### Testing Center Student Success Center x x 18 12x I. Factoring and expanding polynomials

Testing Center Student Success Center Accuplacer Study Guide The following sample questions are similar to the format and content of questions on the Accuplacer College Level Math test. Reviewing these

### Exponential and Logarithmic Functions

Chapter 6 Eponential and Logarithmic Functions Section summaries Section 6.1 Composite Functions Some functions are constructed in several steps, where each of the individual steps is a function. For eample,

0 The Quadratic Function TERMINOLOGY Ais of smmetr: A line about which two parts of a graph are smmetrical. One half of the graph is a reflection of the other Coefficient: A constant multiplied b a pronumeral

### ALGEBRA 2/TRIGONOMETRY

ALGEBRA 2/TRIGONOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA 2/TRIGONOMETRY Wednesday, June 18, 2014 1:15 to 4:15 p.m., only Student Name: School Name: The possession

### Able Enrichment Centre - Prep Level Curriculum

Able Enrichment Centre - Prep Level Curriculum Unit 1: Number Systems Number Line Converting expanded form into standard form or vice versa. Define: Prime Number, Natural Number, Integer, Rational Number,

### COLLEGE GEOMETRY SAMPLE QUESTIONS. Contents 1. Elementary Geometry 1 2. Coordinate Geometry 4

COLLEGE GEOMETRY SAMPLE QUESTIONS Contents 1. Elementary Geometry 1 2. Coordinate Geometry 4 1. Elementary Geometry 1a. Two sides of a triangle are a = 8 and b = 6, the angle α (opposite to the side a)

### APPLICATION OF DERIVATIVES

6. Overview 6.. Rate of change of quantities For the function y f (x), d (f (x)) represents the rate of change of y with respect to x. dx Thus if s represents the distance and t the time, then ds represents