Applied. Grade 9 Assessment of Mathematics. Released assessment Questions
|
|
- Erica Price
- 6 years ago
- Views:
Transcription
1 Applie Gre 9 Assessment of Mthemtics 21 Relese ssessment Questions Recor your nswers to the multiple-choice questions on the Stuent Answer Sheet (21, Applie). Plese note: The formt of this booklet is ifferent from tht use for the ssessment. The questions themselves remin the sme.
2 Directions Mke sure you hve the following mterils: Stuent Answer Sheet the Formul Sheet pencil n n erser ruler scientific or grphing clcultor some pper for rough work for multiple-choice questions only The igrms in this booklet re not ll rwn to scle. Answering Multiple-Choice Questions When nswering the multiple-choice questions, be sure you use the Stuent Answer Sheet. The circles you will be filling in re lettere, b, c,. 1. Try to nswer ll of the multiple-choice questions. Be sure to re ech question n its four nswer choices crefully. Do not spen too much time on ny one question. 2. To inicte your nswer, use pencil to fill in the circle completely on the Stuent Answer Sheet. Like this: Not like this:. If you fill in more thn one nswer to question, the question will be score zero. 4. If you leve question blnk, the question will be score zero. 5. Clenly erse ny nswer you wish to chnge n fill in the circle for your new nswer. Answering Open-Response Questions 1. Do ll of your work for ech question (even your rough work) in the spce provie for the question. Work on itionl pges will not be score. 2. Present complete n well-orgnize solution to ech question. Give s much informtion s you cn.. Write your solutions so tht they cn be unerstoo by someone who oes not know your work. 4. Mke sure you follow the irections on the Key Wors pge. For exmple, question might sk you to Show your work. Re the Key Wors pge. It sys to recor ll clcultions n steps. So, if you sketch grph in the process of getting to your nswer, show the sketch n lbel it. 5. When using clcultor, write own the numbers you use n the opertions you crry out. For exmple, question might sk you to Fin the re of circle with rius of 7 cm. You nee to write A = π(7) 2 s well s the nswer you get on your clcultor.
3 Key Wors Throughout the ssessment, key wors re use to ientify the type of response require from you. The key wors re expline below. Refer to this sheet to mke sure you re responing fully to ech question. Compre: Tell wht is the sme n wht is ifferent. Describe: Use wors to crete mentl picture for the reer. Determine: Use mthemtics to fin solution to the problem. List: Use point form. Explin: Use wors n symbols to mke your solution cler. Justify: Give resons n evience to show your nswer is correct. Show your work: Recor ll clcultions n ll the steps you went through to get your nswer. You my use wors, numbers, grphs, igrms, symbols n/or chrts.
4 Multiple-Choice Gre 9 Assessment of Mthemtics, 21 1 The esign for rectngulr gren hs length-to-with rtio of 7:5. Which of the following coul be use to etermine the with of the gren if the length is 6.5 m? b c 5 7 = 6.5 x 7 5 = x = 5 x 6.5 x = Wht is the vlue of k in the proportion below? 12 b 15 c k = 24 2 Lst week, Tenish pi $65.72 for 62 kg of pottoes for her resturnt. Toy, the price of pottoes is $.2/kg lower. How much will Tenish py for 5 kg of pottoes toy? $46 b $47 c $52 $5 4 A bicycle hs regulr price of $175. It is on M sle for 2% off. A Which of the following is closest to the totl T cost, incluing 1% tx? R I $14 X b $158 c $16 $168 5 The volume of the cyliner shown below is 48 cm. Which of the following is closest to the rius of the cyliner? 4 cm b 8 cm c 14 cm 16 cm 6 Wht vlue of x mkes the eqution 4x 2 5 = 26x 1 15 true? 2 b 1 c r 8 cm Hint: V = πr 2 h 2 Applie
5 Gre 9 Assessment of Mthemtics, 21 Multiple-Choice 7 An eqution representing the height of burning cnle is H = t, where H is the height, in centimetres, is the imeter, in centimetres, n t is the mount of time tht the cnle hs been burning, in minutes. A cnle hs imeter of 6 cm. If the cnle burns for 2 minutes, wht will its height be? b c 1 cm 4 cm 11 cm 1 cm Applie
6 Open-Response Gre 9 Assessment of Mthemtics, 21 8 more Apples Two stores re vertising specils on pples. Store A 8 pples for $4.4 Store B 12 pples for $5.76 Apples re sol iniviully. How much less woul pples cost t Store B thn t Store A? Justify your nswer. 4 Applie
7 Gre 9 Assessment of Mthemtics, 21 Open-Response 9 the Height of Solving The cyliner picture below hs volume of 87 cm. 5.2 cm h The formul for etermining the volume of cyliner is V = πr 2 h, where r is the rius n h is the height. Determine the height of the cyliner. Show your work. Applie 5
8 Multiple-Choice Gre 9 Assessment of Mthemtics, 21 Which sctter plot shows t with no tren? Q r b Q r c Q r Q r 6 Applie
9 Gre 9 Assessment of Mthemtics, 21 Multiple-Choice Kim owes her mother $1. She will py her bck $5 ech week. Which tble shows t bout the mount Kim still owes for the first 5 weeks of pyments? Week Amount still owing c Week 1 2 Amount still owing $1 $8 $6 $4 $ 4 $2 1 $5 5 $ 2 $1 4 5 $15 $2 $25 Week 1 Amount still owing $1 $95 b Week Amount still owing 2 $9 $85 $1 4 $8 1 $15 5 $75 2 $11 $115 4 $12 5 $125 Applie 7
10 Multiple-Choice Gre 9 Assessment of Mthemtics, 21 s Consier the four ifferent reltionships represente below A n How mny re liner reltionships? 1 b 2 c 4 T w A n C Applie
11 Gre 9 Assessment of Mthemtics, 21 Multiple-Choice Which of the reltionships represente below hs constnt rte of chnge? C c C n n C b C n n Applie 9
12 Multiple-Choice Gre 9 Assessment of Mthemtics, 21 f Ech of the three points on the gri below M gives informtion bout the ltitue of A hot ir blloon t certin time. T Altitue vs. Time R A I 1 X Altitue (m) Time (min) If the reltionship between ltitue n time is liner, wht ws the ltitue of the blloon t 4 minutes? b c 125 m 15 m 175 m 2 m 12 t g Dkot n Jmie hve prt-time jobs. The grphs below represent the reltionship between ernings n the time ech of them works. Dkot s Ernings vs. Time E Dkot s ernings ($) Jmie s ernings ($) Jmie s Ernings vs. Time E Time (h) t t Time (h) Whose grph represents prtil vrition, n wht is the initil vlue of the reltionship? Dkot s, $ b Dkot s, $15 c Jmie s, $ Jmie s, $4 1 Applie
13 Gre 9 Assessment of Mthemtics, 21 h For bbysitting, Becky chrges ccoring to the eqution C = 5n + 9, where C is the mount chrge, in ollrs, n n is the number of hours she bbysits. M A T R I X Which sttement bout this sitution is correct? Becky chrges $14 per hour. b Becky chrges flt fee of $14. c Becky chrges n initil fee of $5, plus $9 per hour. Becky chrges n initil fee of $9, plus $5 per hour. j Ech week, Mriss withrws the sme mount from her bnk ccount. The eqution A = w represents the reltionship between the mount of money remining in her ccount, A, in ollrs, n the number of weeks of withrwing, w. For how mny weeks hs Mriss me withrwls when the mount remining in the ccount is $11? 14 b 16 c Multiple-Choice k Oscr ries his bicycle to the bech long stright ro. While t the bech, he relizes he hs forgotten his sunscreen n returns home. The grph below shows informtion bout his trip. Distnce from home (km) 2 1 D Distnce from Home vs. Time Time (min) 5 4 Which of the following is true bout Oscr s trip? b c The bech is 1 km from Oscr s home. His spee riing to the bech is.25 km/min. His spee riing home from the bech is 1.7 km/min. He stys t the bech for 25 minutes before he returns home to get sunscreen. l Wter is being pumpe to empty swimming pool. At 6.m., the wter level is 15 cm. Every 2 hours, the wter level rops by cm. Wht is the erliest time when the pool will be empty? b c 1.m. 11.m. 4 p.m. 5 p.m. t Applie 11
14 Multiple-Choice Gre 9 Assessment of Mthemtics, 21 s Dt bout the totl monthly cost to rent vieo gmes from two online gme sites re shown on the grph below. 5 Totl Monthly Cost vs. Number of Gmes Rente C Totl monthly cost ($) Mighty Gmers Sir Gme-A-Lot n Number of gmes rente Which of the following sttements is true? b It costs more to rent from Sir Gme-A- Lot fter 6 gmes. It costs less to rent from Mighty Gmers fter gmes. c It costs the sme mount to rent 6 gmes from the two sites. It costs the sme mount to rent gmes from the two sites. 12 Applie
15 Gre 9 Assessment of Mthemtics, 21 Open-Response s rippy Drops Wter is leking from bottle t constnt rte. Juli rws the line on the grph below to moel the reltionship between the volume of wter remining n time. Volume of wter remining (ml) V A Volume of Wter Remining vs. Time B C t Time (min) Determine whether ech of the points shown on the line is possible in this sitution. Write n interprettion of the mening of ech point. Point Is this point possible? Interprettion A Circle one: Yes No B Circle one: Yes No C Circle one: Yes No Applie 1
16 Open-Response Gre 9 Assessment of Mthemtics, 21 ss fun Fir The grph below shows the liner reltionship between the totl cost of y t fir, C, n the number of ries tken, n. C Totl Cost vs. Number of Ries Tken 1 Totl cost ($) Number of ries tken n Complete the tble below with informtion bout this reltionship. Initil vlue: Mening of initil vlue in this sitution Rte of chnge: Mening of rte of chnge in this sitution 14 Applie
17 Gre 9 Assessment of Mthemtics, 21 Open-Response s hppy Trils The totl cost of horsebck riing t horse rnch is me up of fixe fee n cost per hour. The tble below shows informtion bout the totl cost. Time (h) Totl cost ($) Grph the t in the tble on the gri below. C Totl Cost vs. Time Totl cost ($) t Time (h) Write n eqution tht reltes the totl cost of rie, C, to the time spent riing, t. C = Show your work. Applie 15
18 Multiple-Choice Gre 9 Assessment of Mthemtics, 21 sf Some stuents use 24 lrge squre tiles to crete nce floor. They rrnge the tiles to mke rectngulr re with the smllest possible perimeter. Which rrngement cretes n re with the smllest possible perimeter? b c 1 row of 24 tiles 2 rows of 12 tiles rows of 8 tiles 4 rows of 6 tiles sh The figure below is me of squre-bse prism n cone. 1 cm 18 cm sg A wire is ttche from the top of 1 m pole to spot on the groun 4 m wy from the bse of the pole, s shown below. 14 cm 1 m 4 m Wire Which of the following is closest to the length of the wire? b c 11 m 14 m 2 m 28 m Which of the following is closest to the volume of the figure? 675 cm b 441 cm c 567 cm 5581 cm 16 Applie
19 Gre 9 Assessment of Mthemtics, 21 sj The sphere picture below hs imeter of 1 cm. Multiple-Choice sl Wht is the vlue of x in the igrm below? 62 1 cm x 48 b 628 c Which expression represents the volume of the sphere? 4π(5)() b 4π(5) c 4π(1) 4π(1)() sk Wht is the vlue of x in the igrm below? x 918 b 898 c Applie 17
20 Open-Response Gre 9 Assessment of Mthemtics, 21 hole in the Wll Terry is pinting the she re of the rectngulr wll shown below. 2 m 8 m m The verge cost of pint is $.4/m 2. Determine the totl cost of the pint neee to cover the she re of the wll. Show your work. 18 Applie
21 Gre 9 Assessment of Mthemtics, 21 Open-Response outsie Angles Look t the following igrm. 44 x y Complete the chrt below with the vlues of x n y. Justify your nswers using geometric properties. Vlue Justifiction using geometric properties x y Applie 19
22 2 Crlton Street, Suite 12, Toronto ON M5B 2M9 Telephone: Web site: 21 Queen s Printer for Ontrio
SAINT IGNATIUS COLLEGE
SAINT IGNATIUS COLLEGE Directions to Students Tril Higher School Certificte 0 MATHEMATICS Reding Time : 5 minutes Totl Mrks 00 Working Time : hours Write using blue or blck pen. (sketches in pencil). This
More informationExam 1 September 21, 2012 Instructor: Timothy Martin
PHY 232 Exm 1 Sept 21, 212 Exm 1 September 21, 212 Instructor: Timothy Mrtin Stuent Informtion Nme n section: UK Stuent ID: Set #: Instructions Answer the questions in the spce provie. On the long form
More informationMATHEMATICAL METHODS (CAS) Written Examination 1
The Mthemticl Assocition of Victori Tril Exm 011 MATHEMATICAL METHODS (CAS) STUDENT NAME Written Exmintion 1 Reing time: 15 minutes Writing time: 1 hour QUESTION AND ANSWER BOOK Structure of book Number
More informationList all of the possible rational roots of each equation. Then find all solutions (both real and imaginary) of the equation. 1.
Mth Anlysis CP WS 4.X- Section 4.-4.4 Review Complete ech question without the use of grphing clcultor.. Compre the mening of the words: roots, zeros nd fctors.. Determine whether - is root of 0. Show
More informationSummer Work Packet for MPH Math Classes
Summer Work Pcket for MPH Mth Clsses Students going into Pre-clculus AC Sept. 018 Nme: This pcket is designed to help students sty current with their mth skills. Ech mth clss expects certin level of number
More informationPhysics 121 Sample Common Exam 1 NOTE: ANSWERS ARE ON PAGE 8. Instructions:
Physics 121 Smple Common Exm 1 NOTE: ANSWERS ARE ON PAGE 8 Nme (Print): 4 Digit ID: Section: Instructions: Answer ll questions. uestions 1 through 16 re multiple choice questions worth 5 points ech. You
More informationDirections. Answering Multiple-Choice Questions. Answering Open-Response Questions
Directions Make sure you have the following materials: Student Answer Sheet the Formula Sheet a pencil and an eraser a ruler a scientific or graphing calculator some paper for rough work for multiple-choice
More informationProblem Set 9. Figure 1: Diagram. This picture is a rough sketch of the 4 parabolas that give us the area that we need to find. The equations are:
(x + y ) = y + (x + y ) = x + Problem Set 9 Discussion: Nov., Nov. 8, Nov. (on probbility nd binomil coefficients) The nme fter the problem is the designted writer of the solution of tht problem. (No one
More informationSPECIALIST MATHEMATICS
Victorin Certificte of Euction 04 SUPERVISOR TO ATTACH PROCESSING LABEL HERE Letter STUDENT NUMBER SPECIALIST MATHEMATICS Written exmintion Friy 7 November 04 Reing time: 9.00 m to 9.5 m (5 minutes) Writing
More informationSPECIALIST MATHEMATICS
Victorin Certificte of Euction 00 SUPERVISOR TO ATTACH PROCESSING LABEL HERE STUDENT NUMBER Letter Figures Wors SPECIALIST MATHEMATICS Written exmintion Friy 9 October 00 Reing time: 9.00 m to 9.5 m (5
More informationfractions Let s Learn to
5 simple lgebric frctions corne lens pupil retin Norml vision light focused on the retin concve lens Shortsightedness (myopi) light focused in front of the retin Corrected myopi light focused on the retin
More informationSPECIALIST MATHEMATICS
Victorin CertiÞcte of Euction 007 SUPERVISOR TO ATTACH PROCESSING LABEL HERE STUDENT NUMBER Letter Figures Wors SPECIALIST MATHEMATICS Written exmintion Mony 5 November 007 Reing time: 3.00 pm to 3.5 pm
More informationThe Fundamental Theorem of Calculus, Particle Motion, and Average Value
The Fundmentl Theorem of Clculus, Prticle Motion, nd Averge Vlue b Three Things to Alwys Keep In Mind: (1) v( dt p( b) p( ), where v( represents the velocity nd p( represents the position. b (2) v ( dt
More informationHQPD - ALGEBRA I TEST Record your answers on the answer sheet.
HQPD - ALGEBRA I TEST Record your nswers on the nswer sheet. Choose the best nswer for ech. 1. If 7(2d ) = 5, then 14d 21 = 5 is justified by which property? A. ssocitive property B. commuttive property
More informationMATH 115 FINAL EXAM. April 25, 2005
MATH 115 FINAL EXAM April 25, 2005 NAME: Solution Key INSTRUCTOR: SECTION NO: 1. Do not open this exm until you re told to begin. 2. This exm hs 9 pges including this cover. There re 9 questions. 3. Do
More informationPrecalculus Spring 2017
Preclculus Spring 2017 Exm 3 Summry (Section 4.1 through 5.2, nd 9.4) Section P.5 Find domins of lgebric expressions Simplify rtionl expressions Add, subtrct, multiply, & divide rtionl expressions Simplify
More informationLinear Inequalities. Work Sheet 1
Work Sheet 1 Liner Inequlities Rent--Hep, cr rentl compny,chrges $ 15 per week plus $ 0.0 per mile to rent one of their crs. Suppose you re limited y how much money you cn spend for the week : You cn spend
More information4.4 Areas, Integrals and Antiderivatives
. res, integrls nd ntiderivtives 333. Ares, Integrls nd Antiderivtives This section explores properties of functions defined s res nd exmines some connections mong res, integrls nd ntiderivtives. In order
More informationSection 6.3 The Fundamental Theorem, Part I
Section 6.3 The Funmentl Theorem, Prt I (3//8) Overview: The Funmentl Theorem of Clculus shows tht ifferentition n integrtion re, in sense, inverse opertions. It is presente in two prts. We previewe Prt
More informationSPECIALIST MATHEMATICS
Victorin Certificte of Euction 06 SUPERVISOR TO ATTACH PROCESSING LABEL HERE Letter STUDENT NUMBER SPECIALIST MATHEMATICS Written exmintion Friy 4 November 06 Reing time: 9.00 m to 9.5 m (5 minutes) Writing
More informationProperties of Integrals, Indefinite Integrals. Goals: Definition of the Definite Integral Integral Calculations using Antiderivatives
Block #6: Properties of Integrls, Indefinite Integrls Gols: Definition of the Definite Integrl Integrl Clcultions using Antiderivtives Properties of Integrls The Indefinite Integrl 1 Riemnn Sums - 1 Riemnn
More informationGoals: Determine how to calculate the area described by a function. Define the definite integral. Explore the relationship between the definite
Unit #8 : The Integrl Gols: Determine how to clculte the re described by function. Define the definite integrl. Eplore the reltionship between the definite integrl nd re. Eplore wys to estimte the definite
More informationConservation Law. Chapter Goal. 6.2 Theory
Chpter 6 Conservtion Lw 6.1 Gol Our long term gol is to unerstn how mthemticl moels re erive. Here, we will stuy how certin quntity chnges with time in given region (sptil omin). We then first erive the
More informationSPECIALIST MATHEMATICS
Victorin Certificte of Euction 08 SUPERVISOR TO ATTACH PROCESSING LABEL HERE Letter STUDENT NUMBER SPECIALIST MATHEMATICS Written exmintion Friy 9 November 08 Reing time: 9.00 m to 9.5 m (5 minutes) Writing
More informationLesson 1: Quadratic Equations
Lesson 1: Qudrtic Equtions Qudrtic Eqution: The qudrtic eqution in form is. In this section, we will review 4 methods of qudrtic equtions, nd when it is most to use ech method. 1. 3.. 4. Method 1: Fctoring
More informationThe area under the graph of f and above the x-axis between a and b is denoted by. f(x) dx. π O
1 Section 5. The Definite Integrl Suppose tht function f is continuous nd positive over n intervl [, ]. y = f(x) x The re under the grph of f nd ove the x-xis etween nd is denoted y f(x) dx nd clled the
More informationWarm-up for Honors Calculus
Summer Work Assignment Wrm-up for Honors Clculus Who should complete this pcket? Students who hve completed Functions or Honors Functions nd will be tking Honors Clculus in the fll of 018. Due Dte: The
More informationApplied. Grade 9 Assessment of Mathematics. Multiple-Choice Items. Winter 2005
Applie Gre 9 Assessment of Mthemtis Multiple-Choie Items Winter 2005 Plese note: The formt of these ooklets is slightly ifferent from tht use for the ssessment. The items themselves remin the sme. . Multiple-Choie
More informationSPECIALIST MATHEMATICS
Victorin Certificte of Euction 08 SUPERVISOR TO ATTACH PROCESSING LABEL HERE Letter STUDENT NUMBER SPECIALIST MATHEMATICS Written exmintion Tuesy 5 June 08 Reing time:.00 pm to.5 pm (5 minutes) Writing
More information11.1 Exponential Functions
. Eponentil Functions In this chpter we wnt to look t specific type of function tht hs mny very useful pplictions, the eponentil function. Definition: Eponentil Function An eponentil function is function
More informationExponents and Logarithms Exam Questions
Eponents nd Logrithms Em Questions Nme: ANSWERS Multiple Choice 1. If 4, then is equl to:. 5 b. 8 c. 16 d.. Identify the vlue of the -intercept of the function ln y.. -1 b. 0 c. d.. Which eqution is represented
More informationSPECIALIST MATHEMATICS
Victorin Certificte of Euction 009 SUPERVISOR TO ATTACH PROCESSING LABEL HERE STUDENT NUMBER Letter Figures Wors SPECIALIST MATHEMATICS Written exmintion Friy 30 October 009 Reing time: 3.00 pm to 3.5
More informationSPECIALIST MATHEMATICS
Victorin Certificte of Euction 07 SUPERVISOR TO ATTACH PROCESSING LABEL HERE Letter STUDENT NUMBER SPECIALIST MATHEMATICS Written emintion Thursy 8 June 07 Reing time:.00 pm to.5 pm (5 minutes) Writing
More informationEquations, expressions and formulae
Get strted 2 Equtions, epressions nd formule This unit will help you to work with equtions, epressions nd formule. AO1 Fluency check 1 Work out 2 b 2 c 7 2 d 7 2 2 Simplify by collecting like terms. b
More informationThe semester B examination for Algebra 2 will consist of two parts. Part 1 will be selected response. Part 2 will be short answer.
ALGEBRA B Semester Em Review The semester B emintion for Algebr will consist of two prts. Prt will be selected response. Prt will be short nswer. Students m use clcultor. If clcultor is used to find points
More informationPHYSICS 211 MIDTERM I 21 April 2004
PHYSICS MIDERM I April 004 Exm is closed book, closed notes. Use only your formul sheet. Write ll work nd nswers in exm booklets. he bcks of pges will not be grded unless you so request on the front of
More informationPART 1 MULTIPLE CHOICE Circle the appropriate response to each of the questions below. Each question has a value of 1 point.
PART MULTIPLE CHOICE Circle the pproprite response to ech of the questions below. Ech question hs vlue of point.. If in sequence the second level difference is constnt, thn the sequence is:. rithmetic
More informationSections 1.3, 7.1, and 9.2: Properties of Exponents and Radical Notation
Sections., 7., nd 9.: Properties of Eponents nd Rdicl Nottion Let p nd q be rtionl numbers. For ll rel numbers nd b for which the epressions re rel numbers, the following properties hold. i = + p q p q
More informationAdding and Subtracting Rational Expressions
6.4 Adding nd Subtrcting Rtionl Epressions Essentil Question How cn you determine the domin of the sum or difference of two rtionl epressions? You cn dd nd subtrct rtionl epressions in much the sme wy
More informationSection 6: Area, Volume, and Average Value
Chpter The Integrl Applied Clculus Section 6: Are, Volume, nd Averge Vlue Are We hve lredy used integrls to find the re etween the grph of function nd the horizontl xis. Integrls cn lso e used to find
More informationUNIT 1 FUNCTIONS AND THEIR INVERSES Lesson 1.4: Logarithmic Functions as Inverses Instruction
Lesson : Logrithmic Functions s Inverses Prerequisite Skills This lesson requires the use of the following skills: determining the dependent nd independent vribles in n exponentil function bsed on dt from
More informationAdvanced Algebra & Trigonometry Midterm Review Packet
Nme Dte Advnced Alger & Trigonometry Midterm Review Pcket The Advnced Alger & Trigonometry midterm em will test your generl knowledge of the mteril we hve covered since the eginning of the school yer.
More informationPhysics 9 Fall 2011 Homework 2 - Solutions Friday September 2, 2011
Physics 9 Fll 0 Homework - s Fridy September, 0 Mke sure your nme is on your homework, nd plese box your finl nswer. Becuse we will be giving prtil credit, be sure to ttempt ll the problems, even if you
More informationGrade 6. Mathematics. Student Booklet SPRING 2008 RELEASED ASSESSMENT QUESTIONS. Assessment of Reading,Writing and Mathematics, Junior Division
Gre 6 Assessment of Reing,Writing n Mthemtis, Junior Division Stuent Booklet Mthemtis SPRING 2008 RELEASED ASSESSMENT QUESTIONS Plese note: The formt of these ooklets is slightly ifferent from tht use
More informationLetter STUDENT NUMBER SPECIALIST MATHEMATICS. Written examination 2. Number of questions and mark allocations may vary from the information indicated.
Victorin Certificte of uction SUPRVISOR TO ATTACH PROCSSING LABL HR Letter STUDNT NUMBR SPCIALIST MATHMATICS Section Written emintion Mony November Reing time:. pm to. pm ( minutes) Writing time:. pm to.
More informationMathematics Extension 1
04 Bored of Studies Tril Emintions Mthemtics Etension Written by Crrotsticks & Trebl. Generl Instructions Totl Mrks 70 Reding time 5 minutes. Working time hours. Write using blck or blue pen. Blck pen
More informationGRADE 4. Division WORKSHEETS
GRADE Division WORKSHEETS Division division is shring nd grouping Division cn men shring or grouping. There re cndies shred mong kids. How mny re in ech shre? = 3 There re 6 pples nd go into ech bsket.
More information200 points 5 Problems on 4 Pages and 20 Multiple Choice/Short Answer Questions on 5 pages 1 hour, 48 minutes
PHYSICS 132 Smple Finl 200 points 5 Problems on 4 Pges nd 20 Multiple Choice/Short Answer Questions on 5 pges 1 hour, 48 minutes Student Nme: Recittion Instructor (circle one): nme1 nme2 nme3 nme4 Write
More informationFirst Semester Review Calculus BC
First Semester Review lculus. Wht is the coordinte of the point of inflection on the grph of Multiple hoice: No lcultor y 3 3 5 4? 5 0 0 3 5 0. The grph of piecewise-liner function f, for 4, is shown below.
More informationConsolidation Worksheet
Cmbridge Essentils Mthemtics Core 8 NConsolidtion Worksheet N Consolidtion Worksheet Work these out. 8 b 7 + 0 c 6 + 7 5 Use the number line to help. 2 Remember + 2 2 +2 2 2 + 2 Adding negtive number is
More informationMathematics of Motion II Projectiles
Chmp+ Fll 2001 Dn Stump 1 Mthemtics of Motion II Projectiles Tble of vribles t time v velocity, v 0 initil velocity ccelertion D distnce x position coordinte, x 0 initil position x horizontl coordinte
More informationLesson 1.6 Exercises, pages 68 73
Lesson.6 Exercises, pges 68 7 A. Determine whether ech infinite geometric series hs finite sum. How do you know? ) + +.5 + 6.75 +... r is:.5, so the sum is not finite. b) 0.5 0.05 0.005 0.0005... r is:
More informationWeek 12 Notes. Aim: How do we use differentiation to maximize/minimize certain values (e.g. profit, cost,
Week 2 Notes ) Optimiztion Problems: Aim: How o we use ifferentition to mximize/minimize certin vlues (e.g. profit, cost, volume, ) Exmple: Suppose you own tour bus n you book groups of 20 to 70 people
More informationx ) dx dx x sec x over the interval (, ).
Curve on 6 For -, () Evlute the integrl, n (b) check your nswer by ifferentiting. ( ). ( ). ( ).. 6. sin cos 7. sec csccot 8. sec (sec tn ) 9. sin csc. Evlute the integrl sin by multiplying the numertor
More informationArithmetic & Algebra. NCTM National Conference, 2017
NCTM Ntionl Conference, 2017 Arithmetic & Algebr Hether Dlls, UCLA Mthemtics & The Curtis Center Roger Howe, Yle Mthemtics & Texs A & M School of Eduction Relted Common Core Stndrds First instnce of vrible
More informationIndividual Contest. English Version. Time limit: 90 minutes. Instructions:
Elementry Mthemtics Interntionl Contest Instructions: Individul Contest Time limit: 90 minutes Do not turn to the first pge until you re told to do so. Write down your nme, your contestnt numer nd your
More information5-A5 Using Systems of Equations to Solve Word Problems Alg 1H
5-A5 Using Systems of Equtions to Solve Word Problems Alg 1H system of equtions, solve the system using either substitution or liner combintions; then nswer the problem. Remember word problems need word
More informationPractice Final. Name: Problem 1. Show all of your work, label your answers clearly, and do not use a calculator.
Nme: MATH 2250 Clculus Eric Perkerson Dte: December 11, 2015 Prctice Finl Show ll of your work, lbel your nswers clerly, nd do not use clcultor. Problem 1 Compute the following limits, showing pproprite
More informationMath Sequences and Series RETest Worksheet. Short Answer
Mth 0- Nme: Sequences nd Series RETest Worksheet Short Answer Use n infinite geometric series to express 353 s frction [ mrk, ll steps must be shown] The popultion of community ws 3 000 t the beginning
More informationAP Calculus. Fundamental Theorem of Calculus
AP Clculus Fundmentl Theorem of Clculus Student Hndout 16 17 EDITION Click on the following link or scn the QR code to complete the evlution for the Study Session https://www.surveymonkey.com/r/s_sss Copyright
More informationArea Under the Torque vs. RPM Curve: Average Power
Are Uner the orque vs. RM Curve: Averge ower Wht is torque? Some Bsics Consier wrench on nut, the torque bout the nut is Force, F F θ r rf sinθ orque, If F is t right ngle to moment rm r then rf How oes
More informationAPPENDIX. Precalculus Review D.1. Real Numbers and the Real Number Line
APPENDIX D Preclculus Review APPENDIX D.1 Rel Numers n the Rel Numer Line Rel Numers n the Rel Numer Line Orer n Inequlities Asolute Vlue n Distnce Rel Numers n the Rel Numer Line Rel numers cn e represente
More informationIMPORTANT. Read these directions carefully:
Physics 208: Electricity nd Mgnetism Finl Exm, Secs. 506 510. 7 My. 2004 Instructor: Dr. George R. Welch, 415 Engineering-Physics, 845-7737 Print your nme netly: Lst nme: First nme: Sign your nme: Plese
More informationSESSION 2 Exponential and Logarithmic Functions. Math 30-1 R 3. (Revisit, Review and Revive)
Mth 0-1 R (Revisit, Review nd Revive) SESSION Eponentil nd Logrithmic Functions 1 Eponentil nd Logrithmic Functions Key Concepts The Eponent Lws m n 1 n n m m n m n m mn m m m m mn m m m b n b b b Simplify
More informationYear 12 Mathematics Extension 2 HSC Trial Examination 2014
Yer Mthemtics Etension HSC Tril Emintion 04 Generl Instructions. Reding time 5 minutes Working time hours Write using blck or blue pen. Blck pen is preferred. Bord-pproved clcultors my be used A tble of
More informationMATH FIELD DAY Contestants Insructions Team Essay. 1. Your team has forty minutes to answer this set of questions.
MATH FIELD DAY 2012 Contestnts Insructions Tem Essy 1. Your tem hs forty minutes to nswer this set of questions. 2. All nswers must be justified with complete explntions. Your nswers should be cler, grmmticlly
More informationChapter 0. What is the Lebesgue integral about?
Chpter 0. Wht is the Lebesgue integrl bout? The pln is to hve tutoril sheet ech week, most often on Fridy, (to be done during the clss) where you will try to get used to the ides introduced in the previous
More information7.1 Integral as Net Change and 7.2 Areas in the Plane Calculus
7.1 Integrl s Net Chnge nd 7. Ares in the Plne Clculus 7.1 INTEGRAL AS NET CHANGE Notecrds from 7.1: Displcement vs Totl Distnce, Integrl s Net Chnge We hve lredy seen how the position of n oject cn e
More informationPhysics 1402: Lecture 7 Today s Agenda
1 Physics 1402: Lecture 7 Tody s gend nnouncements: Lectures posted on: www.phys.uconn.edu/~rcote/ HW ssignments, solutions etc. Homework #2: On Msterphysics tody: due Fridy Go to msteringphysics.com Ls:
More informationThis chapter will show you. What you should already know. 1 Write down the value of each of the following. a 5 2
1 Direct vrition 2 Inverse vrition This chpter will show you how to solve prolems where two vriles re connected y reltionship tht vries in direct or inverse proportion Direct proportion Inverse proportion
More informationSample Exam 5 - Skip Problems 1-3
Smple Exm 5 - Skip Problems 1-3 Physics 121 Common Exm 2: Fll 2010 Nme (Print): 4 igit I: Section: Honors Code Pledge: As n NJIT student I, pledge to comply with the provisions of the NJIT Acdemic Honor
More information7.2 The Definite Integral
7.2 The Definite Integrl the definite integrl In the previous section, it ws found tht if function f is continuous nd nonnegtive, then the re under the grph of f on [, b] is given by F (b) F (), where
More informationSpring 2017 Exam 1 MARK BOX HAND IN PART PIN: 17
Spring 07 Exm problem MARK BOX points HAND IN PART 0 5-55=x5 0 NAME: Solutions 3 0 0 PIN: 7 % 00 INSTRUCTIONS This exm comes in two prts. () HAND IN PART. Hnd in only this prt. () STATEMENT OF MULTIPLE
More informationDistance And Velocity
Unit #8 - The Integrl Some problems nd solutions selected or dpted from Hughes-Hllett Clculus. Distnce And Velocity. The grph below shows the velocity, v, of n object (in meters/sec). Estimte the totl
More informationShape and measurement
C H A P T E R 5 Shpe nd mesurement Wht is Pythgors theorem? How do we use Pythgors theorem? How do we find the perimeter of shpe? How do we find the re of shpe? How do we find the volume of shpe? How do
More informationA REVIEW OF CALCULUS CONCEPTS FOR JDEP 384H. Thomas Shores Department of Mathematics University of Nebraska Spring 2007
A REVIEW OF CALCULUS CONCEPTS FOR JDEP 384H Thoms Shores Deprtment of Mthemtics University of Nebrsk Spring 2007 Contents Rtes of Chnge nd Derivtives 1 Dierentils 4 Are nd Integrls 5 Multivrite Clculus
More informationDO NOT OPEN THIS EXAM BOOKLET UNTIL INSTRUCTED TO DO SO.
PHYSICS 1 Fll 017 EXAM 1: October 3rd, 017 8:15pm 10:15pm Nme (printed): Recittion Instructor: Section #: DO NOT OPEN THIS EXAM BOOKLET UNTIL INSTRUCTED TO DO SO. This exm contins 5 multiple-choice questions,
More informationBasic Derivative Properties
Bsic Derivtive Properties Let s strt this section by remining ourselves tht the erivtive is the slope of function Wht is the slope of constnt function? c FACT 2 Let f () =c, where c is constnt Then f 0
More informationMinnesota State University, Mankato 44 th Annual High School Mathematics Contest April 12, 2017
Minnesot Stte University, Mnkto 44 th Annul High School Mthemtics Contest April, 07. A 5 ft. ldder is plced ginst verticl wll of uilding. The foot of the ldder rests on the floor nd is 7 ft. from the wll.
More informationProf. Anchordoqui. Problems set # 4 Physics 169 March 3, 2015
Prof. Anchordoui Problems set # 4 Physics 169 Mrch 3, 15 1. (i) Eight eul chrges re locted t corners of cube of side s, s shown in Fig. 1. Find electric potentil t one corner, tking zero potentil to be
More informationName Date. In Exercises 1 6, tell whether x and y show direct variation, inverse variation, or neither.
1 Prctice A In Eercises 1 6, tell whether nd show direct vrition, inverse vrition, or neither.. 7. 6. 10. 8 6. In Eercises 7 10, tell whether nd show direct vrition, inverse vrition, or neither. 8 10 8.
More informationROB EBY Blinn College Mathematics Department
ROB EBY Blinn College Mthemtics Deprtment Mthemtics Deprtment 5.1, 5.2 Are, Definite Integrls MATH 2413 Rob Eby-Fll 26 Weknowthtwhengiventhedistncefunction, wecnfindthevelocitytnypointbyfindingthederivtiveorinstntneous
More informationMATH STUDENT BOOK. 10th Grade Unit 5
MATH STUDENT BOOK 10th Grde Unit 5 Unit 5 Similr Polygons MATH 1005 Similr Polygons INTRODUCTION 3 1. PRINCIPLES OF ALGEBRA 5 RATIOS AND PROPORTIONS 5 PROPERTIES OF PROPORTIONS 11 SELF TEST 1 16 2. SIMILARITY
More informationMathematics Extension 2
S Y D N E Y B O Y S H I G H S C H O O L M O O R E P A R K, S U R R Y H I L L S 005 HIGHER SCHOOL CERTIFICATE TRIAL PAPER Mthemtics Extension Generl Instructions Totl Mrks 0 Reding Time 5 Minutes Attempt
More informationEquations and Inequalities
Equtions nd Inequlities Equtions nd Inequlities Curriculum Redy ACMNA: 4, 5, 6, 7, 40 www.mthletics.com Equtions EQUATIONS & Inequlities & INEQUALITIES Sometimes just writing vribles or pronumerls in
More informationHIGHER SCHOOL CERTIFICATE EXAMINATION MATHEMATICS 3 UNIT (ADDITIONAL) AND 3/4 UNIT (COMMON) Time allowed Two hours (Plus 5 minutes reading time)
HIGHER SCHOOL CERTIFICATE EXAMINATION 998 MATHEMATICS 3 UNIT (ADDITIONAL) AND 3/4 UNIT (COMMON) Time llowed Two hours (Plus 5 minutes reding time) DIRECTIONS TO CANDIDATES Attempt ALL questions ALL questions
More informationAB Calculus Review Sheet
AB Clculus Review Sheet Legend: A Preclculus, B Limits, C Differentil Clculus, D Applictions of Differentil Clculus, E Integrl Clculus, F Applictions of Integrl Clculus, G Prticle Motion nd Rtes This is
More information( ) as a fraction. Determine location of the highest
AB Clculus Exm Review Sheet - Solutions A. Preclculus Type prolems A1 A2 A3 A4 A5 A6 A7 This is wht you think of doing Find the zeros of f ( x). Set function equl to 0. Fctor or use qudrtic eqution if
More information20 MATHEMATICS POLYNOMIALS
0 MATHEMATICS POLYNOMIALS.1 Introduction In Clss IX, you hve studied polynomils in one vrible nd their degrees. Recll tht if p(x) is polynomil in x, the highest power of x in p(x) is clled the degree of
More information12.1 Introduction to Rational Expressions
. Introduction to Rtionl Epressions A rtionl epression is rtio of polynomils; tht is, frction tht hs polynomil s numertor nd/or denomintor. Smple rtionl epressions: 0 EVALUATING RATIONAL EXPRESSIONS To
More informationKey for Chem 130 Second Exam
Nme Key for Chem 130 Second Exm On the following pges you will find questions tht cover the structure of molecules, ions, nd solids, nd the different models we use to explin the nture of chemicl bonding.
More informationUnit #10 De+inite Integration & The Fundamental Theorem Of Calculus
Unit # De+inite Integrtion & The Fundmentl Theorem Of Clculus. Find the re of the shded region ove nd explin the mening of your nswer. (squres re y units) ) The grph to the right is f(x) = -x + 8x )Use
More information( ) where f ( x ) is a. AB Calculus Exam Review Sheet. A. Precalculus Type problems. Find the zeros of f ( x).
AB Clculus Exm Review Sheet A. Preclculus Type prolems A1 Find the zeros of f ( x). This is wht you think of doing A2 A3 Find the intersection of f ( x) nd g( x). Show tht f ( x) is even. A4 Show tht f
More informationSample pages. 9:04 Equations with grouping symbols
Equtions 9 Contents I know the nswer is here somewhere! 9:01 Inverse opertions 9:0 Solving equtions Fun spot 9:0 Why did the tooth get dressed up? 9:0 Equtions with pronumerls on both sides GeoGebr ctivity
More informationAlg 3 Ch 7.2, 8 1. C 2) If A = 30, and C = 45, a = 1 find b and c A
lg 3 h 7.2, 8 1 7.2 Right Tringle Trig ) Use of clcultor sin 10 = sin x =.4741 c ) rete right tringles π 1) If = nd = 25, find 6 c 2) If = 30, nd = 45, = 1 find nd c 3) If in right, with right ngle t,
More informationAlgebra Readiness PLACEMENT 1 Fraction Basics 2 Percent Basics 3. Algebra Basics 9. CRS Algebra 1
Algebr Rediness PLACEMENT Frction Bsics Percent Bsics Algebr Bsics CRS Algebr CRS - Algebr Comprehensive Pre-Post Assessment CRS - Algebr Comprehensive Midterm Assessment Algebr Bsics CRS - Algebr Quik-Piks
More informationAPPM 1360 Exam 2 Spring 2016
APPM 6 Em Spring 6. 8 pts, 7 pts ech For ech of the following prts, let f + nd g 4. For prts, b, nd c, set up, but do not evlute, the integrl needed to find the requested informtion. The volume of the
More informationMath 8 Winter 2015 Applications of Integration
Mth 8 Winter 205 Applictions of Integrtion Here re few importnt pplictions of integrtion. The pplictions you my see on n exm in this course include only the Net Chnge Theorem (which is relly just the Fundmentl
More informationARITHMETIC OPERATIONS. The real numbers have the following properties: a b c ab ac
REVIEW OF ALGEBRA Here we review the bsic rules nd procedures of lgebr tht you need to know in order to be successful in clculus. ARITHMETIC OPERATIONS The rel numbers hve the following properties: b b
More information