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General Curriculum (03) Practice Test: Mathematics17.Use the diagram below to answer the question thatfollows.230045110610072575255The diagram above demonstrates how the lattice multiplicationalgorithm is used to multiply 231 by 25 to get the product5775. What value does the circled digit represent?A.1B.10C.100D.100015

General Curriculum (03) Practice Test: Mathematics18.Use the samples of a student's work below to answer thequestion that follows.9 339316 4 16 4 415 5 15 5 38 4 8 4 25 5155 12 3 12 3 4Which of the following statements best describes themathematical validity of the algorithm that the student appearsto be using?19.A.It is not valid for any rational numbers.B.It is valid only when all numerators and denominators areintegers.C.It is valid only when all numerators and denominators arepositive integers.D.It is valid for all rational numbers.Use the inequality below to answer the question thatfollows.3 x 4 xWhich of the following inequalities describes all possiblevalues of x?A.x –1B.x 0C.–1 x 0D.0 x 116

General Curriculum (03) Practice Test: Mathematics20.21.The expression (5– 8 7– 9) is equal to which of the following?A.15(35)8B.17(35)8C.5(35)8D.7(35)8Use the diagram below to answer the question 425262728293031323334353637383940Which of the following algebraic equations could best be usedto explain why, for any three-by-three cross like the one shownabove, the sum of the numbers in the vertical rectangle isequal to the sum of the numbers in the horizontal rectangle?A.9x 14x 19x 13x 14x 15xB.5[x (x 1) (x 2)] 5x (5x 5) (5x 10)C.x 9 14 19 x 13 14 15D.(x – 1) x (x 1) (x – 5) x (x 5)17

General Curriculum (03) Practice Test: Mathematics22.Use the problem below to answer the question thatfollows.A landscaper bought some decorative cement blocks froma landscaping supplier. The supplier charged 5% salestax and the total came to 315. Without the tax, thelandscaper could have bought 6 more blocks for the sametotal cost. How many blocks did the landscaper buy?If p represents the price of one block, in which of the followingequations does x represent the answer to the problem above?23.A.0.95px p(x 6)B.1.05p(x 6) 315C.1.05px p(x 6)D.0.95p(x 6) 315A store that sells handcrafted items takes 3.00 per itemplus 40% of the sale price for each item sold. The rest ofthe money from item sales goes to the craftsperson. All itemssold cost 5.00 or more. If p represents the sale price of oneitem, which of the following expressions represents theamount of money the craftsperson gets for each item sold?A.25p 3B.25p–3C.35p 3D.35p–318

General Curriculum (03) Practice Test: Mathematics24.Use the solution procedure below to answer the questionthat follows.–3x 25 4–3x 25 – 25 4 – 25 – 21 (– 3) 7x 7Which of the following is a major flaw in the procedure shownabove?25.A.The concept of the opposite of a number is confusedwith subtraction.B.The equal sign is used to connect expressions that arenot equal.C.The solution contains an error in the arithmetic of signednumbers.D.The order of operations between subtraction and divisionis reversed.Use the diagram below to answer the question thatfollows.Figure 1Figure 2Figure 3Figure 4If the pattern continues, how many more small squares are infigure 100 than are in figure 99?A.98B.99C.100D.10119

General Curriculum (03) Practice Test: Mathematics26.Use the table below to answer the question that 3700816243201234xEach number in the table above represents a value of w thatis determined by the values of integers x and y. For example,when x 2 and y 1, w 21. If the pattern continues, what isthe value of w when x 20 and y 8?A.164B.200C.208D.82020

General Curriculum (03) Practice Test: Mathematics27.The function r(x) gives the remainder when a whole number x is divided by 10. Which of thefollowing graphs represents 021

General Curriculum (03) Practice Test: Mathematics28.29.Four pumps begin draining a 5400-gallon pool. At the sametime, two pumps begin draining a 4000-gallon pool. Assumingthat all of the pumps drain at the same rate, how many gallonsare left in the smaller pool when the larger pool is finishedbeing drained?A.1300 gallonsB.1350 gallonsC.2700 gallonsD.2750 gallonsUse the graph below to answer the question that follows.t6050403020100d051015202530The graph above shows the distance d in miles and the timet in minutes for six bus routes around a city. Which of thefollowing equations best models the relationship betweend and t for these bus routes?A.t dB.t d 10C.t 2dD.t 2d 1022

General Curriculum (03) Practice Test: Mathematics30.Use the graph below to answer the question that follows.y(–4, 2)x(0, –3)The graph above represents the equation Wx 4y – 12.What is the value of W?A.–6B.–3C.3D.523

General Curriculum (03) Practice Test: Mathematics31.Use the problem below to answer the question thatfollows.startinglinefinishlinered1stRaceblue10 miles10 milesred2ndRacebluex100 milesA red car and a blue car compete in two 100-mile races.In the first race, both cars leave the starting line at thesame time. When the red car crosses the finish line, theblue car has 10 miles left to go. In the second race, bothcars start at the same time, but while the blue car beginsat the starting line, the red car begins 10 miles behind thestarting line.Assuming that each car's average speed does not change,how far has the blue car traveled in the second race whenthe red car reaches the finish line?Which of the following proportions could be used to solve theproblem above?A.10090 x110B.10010 xC.10090 xD.10010 x110909024

General Curriculum (03) Practice Test: Mathematics32.Use the diagram below to answer the question thatfollows.The diagram above is used to describe the relationshipbetween the circumference c, the radius r, and the area A of acircle. Assuming that the circle is divided into enough sectionsso that the figure on the right approximates a rectangle, whichof the following relationships is demonstrated?33.1A.A 2crB.A crC.A 2crD.A 2cr3A pretzel company sells pretzels in a cylindrical container witha radius of 10 cm and a height of 30 cm. The company'spackaging designers are considering switching to a newcylindrical container with a radius of 20 cm and a height of15 cm. How does the volume of the proposed new containercompare to the volume of the old container?A.The volume of the new container is 125 cm3 less thanthe volume of the old container.B.The volume of the new container is 5 cm3 less than thevolume of the old container.C.The volume of the new container is equal to the volumeof the old container.D.The volume of the new container is twice the volume ofthe old container.25

General Curriculum (03) Practice Test: Mathematics34.1A fuel tank was approximately 8 full. After adding 50 worth3of fuel, the tank was approximately 4 full. If the fuel costsp dollars per gallon, approximately how many gallons doesthe tank hold when full?35.A.80pgallonsB.50pgallonsC.50p gallonsD.80p gallonsA homeowner is planning to use carpet tiles to cover the floorof a room measuring 9 feet by 10 feet 8 inches. If the carpettiles are 8 inches wide and 1 foot long and there are no gapsbetween the tiles as they are placed on the floor, how manycarpet tiles will the homeowner need to cover the floor of theroom?A.100B.135C.144D.15026

General Curriculum (03) Practice Test: Mathematics36.Use the diagram below to answer the question thatfollows.zyxA gift box has dimensions x by y by z. A decorative ribbonis wrapped across the diagonals of the box as shown above.Which of the following expressions represents the approximatetotal length of the ribbon?A.2( xy yz )B.2( xy yz zx )C.2( x 2 y 2 y2 z2 )D.2( x 2 y 2 y2 z2 z2 x2 )27

General Curriculum (03) Practice Test: Mathematics37.Use the graph below to answer the question that follows.yxIf the image of a pointing hand in the graph above is rotated 180 about the origin and thenreflected across the x-axis, which of the following graphs will result?A.B.yyxC.xD.yxyx28

General Curriculum (03) Practice Test: Mathematics38.Which of the following nets can be folded to form a squarepyramid?A.B.C.D.29

General Curriculum (03) Practice Test: Mathematics39.Use the figure below to answer the question that follows.CABIf equilateral triangle ABC above represents one of twocongruent halves of a figure that has AB as a line of symmetry,then the entire figure is a:40.A.triangle.B.rectangle.C.prism.D.rhombus.Use the diagram below to answer the question thatfollows.115 x60 Three straight lines intersect to form a triangle, as shownabove. What is the measure of angle x?A.115 B.120 C.125 D.130 30

General Curriculum (03) Practice Test: MathematicsUse the histogram below to answer the question thatfollows.Frequency41.43210234 5 6 7 8 9 10 11 12Sum of Two Number CubesTwo 6-sided number cubes are rolled simultaneously10 times. The sums are recorded in the histogram shownabove. Which of the following statements can be inferredfrom the histogram?1A.The mean is less than the median by 10 .B.The mean is greater than the median by 10 .C.The mean is less than the median by 2 .D.The mean is greater than the median by 2 .11131

General Curriculum (03) Practice Test: MathematicsUse the graph below to answer the question that follows.Distribution of Test Scores1098Frequency42.765girls432boys10102030 40Score5060The graph above shows the distribution of scores on a testwith possible scores of 10, 20, 30, 40, 50, and 60. Theminimum passing score was 40. 20 girls and 20 boys tookthe test. The percentage of girls passing the test was howmuch greater than the percentage of boys passing the test?A.25%B.20%C.15%D.10%32

General Curriculum (03) Practice Test: Mathematics43.Use the table below to answer the question that follows.Milk Shake Flavor PreferenceAge 10161430–398141240–499179A marketing company conducted a survey to determine milkshake flavor preferences among five different age groups.Based on the data in the table, what is the probability thata randomly chosen 35-year-old customer will prefer astrawberry-flavored milk shake?A.17B.16C.625D.61733

General Curriculum (03) Practice Test: Mathematics44.45.A child has a set of blocks, of which 4 are square, 5 are round,and 6 are triangular. The child randomly picks a block from theset and gives it to his sister. The child then randomly picksone more block. What is the probability that the first block wasround and the second block was triangular?A.19B.215C.17D.1115Use the spinner below to answer the question ileThe host of a party tells her guests that every time the spinnerabove lands on the section labeled "Fruit Basket," a guest willwin a large basket of fruit. If the 180 guests at the party eachspin the spinner once, what is the best estimate of the numberof fruit baskets that the host will be giving away?A.7B.14C.36D.7234

General Curriculum (03) Practice Test: MathematicsDIRECTIONS FOR THE OPEN-RESPONSE ITEM ASSIGNMENTThis section of the test consists of an open-response item assignment that appears on the followingpage. You will be asked to prepare a written response of approximately 1–2 pages for the assignment.You should use your time to plan, write, review, and edit your response for the assignment.Read the topic and directions for the assignment carefully before you begin to work. Think about howyou will organize your response.As a whole, your response to the assignment must demonstrate an understanding of the knowledgeof the field. In your response to the assignment, you are expected to demonstrate the depth of yourunderstanding of the subject area by applying your knowledge rather than by merely reciting factualinformation.Your response to the assignment will be evaluated based on the following criteria. PURPOSE: the extent to which the response achieves the purpose of the assignment SUBJECT KNOWLEDGE: appropriateness and accuracy in the application of subjectknowledge SUPPORT: quality and relevance of supporting evidence RATIONALE: soundness of argument and degree of understanding of the subject areaThe open-response item assignment is intended to assess subject knowledge. Your response mustbe communicated clearly enough to permit valid judgment of the evaluation criteria by scorers. Yourresponse should be written for an audience of educators in this field. The final version of your responseshould conform to the conventions of edited American English. Your response should be your originalwork, written in your own words, and not copied or paraphrased from some other work.Be sure to write about the assigned topic. Please write legibly. You may not use any referencematerials during the test. Remember to review your work and make any changes you think will improveyour response.Write or print your response in the space provided following the assignment.35

General Curriculum (03) Practice Test: MathematicsOPEN-RESPONSE ITEM ASSIGNMENTUse the information below to complete the exercise that follows.Students are asked to solve the following problem.3310Approximately what fraction of the entire figure shown above is enclosed by the semicircle?(use π 3.14)Student response:3.14rectangle 6 x 3 181x 3triangle 2 x 6 x 4 1293.12118 12 93.12 123.12semicircle 2 x 2 x π x radius 3π93.12903answer 123.12 or about 120 436

General Curriculum (03) Practice Test: MathematicsUse your knowledge of mathematics to create a response in which you analyze the student'swork and provide an alternative solution to the problem. In your response, you should do thefollowing: Correct any errors or misconceptions evident in the student's work. Explain why the response is not mathematically sound. Be sure to provide a correct solution, show your work, and explain your reasoning.Solve the problem using an alternative method that could enhance the student's conceptualunderstanding of ratios and decimal multiplication in the context of the problem.37

General Curriculum (03) Practice Test: MathematicsOPEN-RESPONSE SHEET38

General Curriculum (03) Practice Test: Mathematics39

General Curriculum (03) Practice Test: MathematicsPRACTICE TEST RESULTS40

General Curriculum (03) Practice Test: MathematicsPRACTICE TEST RESULTS OVERVIEWThe practice test provides valuable information regarding your preparedness for the MTEL GeneralCurriculum (03): Mathematics subtest. In this section, you will find information and tools to help you determineyour preparedness on the various sections of the test.Multiple-Choice QuestionsA Multiple-Choice Question Answer Key Worksheet is provided to assist you in evaluating your multiple-choiceresponses. The worksheet contains five columns. The first column indicates the multiple-choice questionnumber, the second column indicates the objective to which the test question was written, and the third columnindicates the correct response. The remaining columns are for your use in calculating the number of multiplechoice questions you answered correctly or incorrectly.An Evaluation Chart for the multiple-choice questions is also provided to help you assess which content coveredby the test objectives may require additional study.Multiple-Choice Question Analyses are provided to explain the correct answer for each question as well as whythe other responses are not correct.Open-Response ItemEvaluation Information, Sample Responses and Analyses, as well as a Scoring Rubric are provided for this item.You may wish to refer to this information when evaluating your practice test response.Total TestPractice Test Score Calculation information is provided to help you estimate your score on the practice test.Although you cannot use this practice test to precisely predict how you might score on an official MTEL GeneralCurriculum: Mathematics subtest, you may be able to determine your degree of

General Curriculum (03) Practice Test: Mathematics . GENERAL TEST DIRECTIONS . This practice test consists of two subtests: multi-subject (booklet 1) and mathematics (booklet 2). Each multiple-choice question on the practice test has four answer choices. Rea