winter 2013 interim assessment - grade 7 mathematics

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    Name: __________________________ Class: ______________ Date: _______________

    Miami-Dade

    Winter Interim Assessment Test

    Grade 7

    Mathematics

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    1 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    Directions:

    Identify the choice that best completes the statement or answers the question. Then completely fill in the bubble youchoose on your answer sheet. If you change an answer, be sure to erase completely on your answer sheet.

    ____ 1. The rectangular floor at Mrs. Washingtonsrestaurant is 16 feet by 20 feet. She wants to buy a rugthat is geometrically similar to the floor. Which size of rug should she buy?

    A. 8 feet by 12 feetB. 10 feet by 14 feetC. 12 feet by 15 feetD. 14 feet by 18 feet

    ____ 2. Which table represents an inverse variation betweenxandy?

    F. H.

    G. I.

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    2 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 3. A picture frame is 10 inches wide by 12 inches in height, as shown below.

    Which picture frame is similar to the one above?

    A. C.

    B. D.

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    3 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 4. The gym teacher has a bag of balls that she passes out for students to use during recess.

    If she reaches into the bag without looking, what is the probability that the first ball she will pick is asoccer ball?

    F.

    G.

    H.

    I.

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    4 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 5. A store manager estimated that it would take 25 hours to complete a project with 3 employees.Which table shows an inverse variation between the number of hours and the number of workersneeded to complete this project?

    A.

    B.

    C.

    D.

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    5 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 6. One of the longest cars ever made was 30 meters long. Which scale drawing correctly displays thelength of this car if each centimeter represents 6 meters?

    F.

    G.

    H.

    I.

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    6 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 7. A scale model of an airplane has a wingspan of 6 inches, as shown below.

    What is the wingspan, in feet, of the actual airplane?

    A. 1.5 feetB. 2 feetC. 10 feetD. 24 feet

    ____ 8. Kims lunch cost $12.74. Sheleft a tip that was about 15% of the cost of her lunch. Which isCLOSEST to the amount Kim left as a tip?

    F. $1.00

    G. $1.50H. $2.00I. $2.50

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    7 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 9. The table below shows the relationship between the number of dog years for small breed dogs andthe number of human years.

    Which statement describes why the relationship is or is NOT proportional?

    A. The relationship is proportional, because both lists increase in value.B. The relationship is not proportional, because 15:1 is not the same ratio as 24:2.C. The relationship is not proportional, because the human years are multiples of 4.D. The relationship is proportional, because the dog years increase constantly by 4.

    ____ 10. Which situation represents a direct variation betweenxandy?

    F. Dana will travel 150 miles.the speed at which Dana is travelingthe number of hours she will be traveling

    G. Jamal earns a fixed pay of $300 every week.the number of hours he works during the weekthe pay he earns per hour

    H. Max earns $10 for each car he washes.the number of cars he washes

    the total amount of money he earnsI. The area of a rectangle is exactly 24 square inches.

    the length of the rectanglethe width of the rectangle

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    8 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 11. Jake spun the arrow on a spinner 60 times. The spinner results are shown below.

    Which spinner did Jake MOST likely use?

    A. C.

    B. D.

    ____ 12. Which table shows a direct variation betweenxandy?

    F. H.

    G. I.

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    9 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 13. The circumference of the front wheel of the antique bicycle shown below is approximately 167inches. The circumference of the rear wheel is approximately 56 inches.

    When riding this bicycle, about how many revolutions would the rear wheel complete if the frontwheel completes one revolution?

    A.

    B.

    C. 2

    D.

    3

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    10 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 14. The graph below shows the amount of money Johnny saved for 12 months.

    Which is CLOSEST to Johnnys rate of savings over those 12 months?

    F. $7.14 per monthG. $13.75 per monthH. $14.00 per monthI. $15.00 per month

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    11 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 15. Juan and Alisa were using the spinner below in an animal game.

    In which animal section is the arrow MOST likely to land?

    A. C.

    B. D.

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    12 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 16. Which situation BEST represents a proportional relationship?

    F. A 20 24-inch photo is reprinted into a 5 6-inch photo.G. A turtle traveled 1 meter in 1 hour and 2 meters in 2.5 hours.H. Two pencils are sold for $1. Ten of the same pencils are sold for $6.I.

    One apple had 6 seeds, 2 apples had 8 seeds altogether, and 3 apples had 10 seedsaltogether.

    ____ 17. On a circular spinner, of the circle is red, is blue, is yellow, and is green. What is the

    probability that the outcome of one random spin will NOT be yellow?

    A.

    B.

    C.

    D.

    ____ 18. If which statement must be TRUE?

    F.

    G.

    H.

    I.

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    13 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 19. The graph below shows a proportional relationship.

    Which statement BEST describes the effect on the value ofywhen the value ofxis doubled?

    A. The value ofywould be equal tox.B. The value ofywould increase by 2 units.C. The value ofywould also double in value.D. The value ofywould be 4 times the value ofx.

    ____ 20. The graph below shows the results of 100 spins of a 4-color spinner.

    Based on these results, where is the spinner LEAST likely to land on the next spin?

    F. blueG. greenH. redI. yellow

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    14 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 21. A road map uses a scale of 200 meters = 3 centimeters to represent the distances between cities.Which graph BEST represents this relationship?

    A. C.

    B. D.

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    15 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 22. A summer science camp is attended by students between the ages of 12 and 16 years. The totalnumber of students is organized by age group in the table below.

    Age Group of Students

    Each day of science camp, one student is chosen at random to be the attendance recorder. What is

    the probability that the student chosen will be under the age of 14?

    F.

    G.

    H.

    I.

    ____ 23. A zoo had 2,250 visitors on Friday and 4,725 on Saturday. What was the percentage increase in thenumber of visitors on Saturday compared to Friday?

    A. 110%B. 148%C. 152%D. 210%

    ____ 24. Henry made juice from a recipe that called for 1 cup of sugar, 3 cups of lime-drink mix, and 2

    gallons of water. Henry filled a container with 18 gallons of water, and used 9 cups of sugar. Basedon this information, what is the total number of cups of lime-drink mix Henry used?

    F. 18 cupsG. 27 cupsH. 36 cupsI. 54 cups

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    16 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 25. A scale model of the Washington Monument is 15 inches tall and the base is 1.5 inches wide. If theactual monument is approximately 555 feet tall, which is CLOSEST to the width, in feet, of thebase?

    A. 50B.

    55C. 370D. 835

    ____ 26. Which graph shows a direct variation betweenxandy?

    F. H.

    G. I.

    ____ 27. In one year, the student population at Tillman High School increased from 400 students to 500students. What was the percentage increase in student population that year?

    A. 20%B. 25%C. 80%D. 125%

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    17 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 28. A store is having a sale on roses. The sale price on a dozen roses is 15% less than the regular price.If the regular price of a dozen roses is $15, what is the sale price of a dozen?

    F. $13.75G. $13.25H.

    $12.75I. $12.50

    ____ 29. A house and a storage shed are built with the geometrically similar roof parts shown below.

    What is the length of the side labeled with a measure ofxfeet?

    A. 2 ftB. 8 ftC. 9 ftD. 36 ft

    ____ 30. The cards below are used in a game. Some cards have a letter on them, and some have a number onthem.

    If a player takes one card without looking, what is the probability it will be a card with a letter on it?

    F.

    G.

    H.

    I.

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    18 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 31. Which situation represents a proportional relationship?

    A. A store charged $20 for 2 shirts, and charged $25 for 3 shirts.B. An alarm on a clock beeped 7 times in 6 seconds, and beeped 14 times in 12

    seconds.C.

    A signal light flashed yellow 7 times in 28 seconds, and flashed red 5 times in 35seconds.D. A car used 3 gallons of gas to drive 72 miles on a highway, and used 4 gallons of

    gas to drive 72 miles in town.

    ____ 32. The similar trapezoids shown below are measured in units.

    What is the length of

    F. 5 unitsG. 6 unitsH. 8 unitsI. 12 units

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    19 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 33. Henrietta is adding music to her slide presentation. She has selected six songs. The playing times ofthe songs are listed below.

    Henrietta will choose one song at random to be first in the presentation. Which phrase BESTdescribes the likelihood that she will choose a song lasting exactly 2 minutes 13 seconds?

    A. more likely than choosing a song that lasts any other amount of time listedB.

    equal to the likelihood of choosing a song that lasts 3 minutes 15 seconds C. less likely than choosing a song that lasts any other amount of time listedD. equal to the likelihood of choosing a song that lasts 2 minutes 40 seconds

    ____ 34. A photocopier tray is filled with 500 sheets of paper. Photocopies are then made for the next 2minutes. Which term BEST describes the slope of a line graph representing the sheets of paperremaining in the tray?

    F. no slopeG. zero slopeH. positive slopeI. negative slope

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    20 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 35. A bag contains 7 red bookmarks, 3 green bookmarks, and 5 blue bookmarks that are identical in sizeand shape. One of these bookmarks will be selected at random.

    If the probability of selecting a red bookmark is what is the probability of selecting a bookmark

    that is NOT red?

    A.

    B.

    C.

    D.

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    21 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 36. The graph below shows the relationship between the perimeter of a square and the length of a side ofthe square.

    Which proportion could be used to finds, the length of the side of a square with a perimeter of 70inches?

    F.

    G.

    H.

    I.

    ____ 37. The scale drawing of an apartment shows the living room length as 5.7 inches. The scale on thedrawing uses 1 inch to represent 3 feet. What is the actual length, in feet, of the living room?

    A. 1.9 feet

    B. 2.7 feetC. 8.7 feetD. 17.1 feet

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    22 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 38. The table below shows the birth months for all 25 students in Mr. Battistinis class.

    If one student from this class is selected at random, what is the probability of selecting a student whowas NOT born in June?

    F.

    G.

    H.

    I.

    ____ 39. In the figure is similar

    What is the length of

    A. 7 unitsB. 9 unitsC. 12 unitsD. 16 units

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    23 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 40. Mr. Bensons classroom has a length of 6meters. If 1 centimeter represents 3 meters, which scaledrawing correctly represents the length of Mr. Bensons classroom?

    F.

    G.

    H.

    I.

    ____ 41. Sam was given a bag of 100 red and blue gum balls. He believes that half of the gum balls are red.To test his hypothesis, he took a gum ball from the bag without looking, recorded the color, and thenreturned it to the bag. He repeated this process 49 times. If Sam picked 35 blue and 15 red gum ballswhich conclusion is accurate?

    A. There are probably more blue gum balls than red gum balls in the bag.B. There are probably more red gum balls than blue gum balls in the bag.C. There are probably only 35 blue gum balls in the bag.D. There are probably only 15 red gum balls in the bag.

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    24 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 42. A sales tax of 7% was added to the $36.00 price of a jacket. What was the total cost of the jacket?

    F. $36.07G. $36.70H. $38.10I.

    $38.52

    ____ 43. There are 10 gallons of water in a tank. Water will be removed from the tank at a rate of gallon

    per minute. Which graph shows the relationship between the amount of water in the tank and time?

    A. C.

    B. D.

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    25 M-DCPS, Student Assessment and Educational TestingGrade 7 Mathematics, January 2013

    ____ 44. Reynaldo made a scale model of his school building. The dimensions of the building are shownbelow.

    If Reynaldos model is 16 inches long, how tall is his model?

    F. 2.2 in.G. 3.5 in.H.

    7.3 in.I. 22.4 in.

    ____ 45. Walter budgeted $24 to buy bags of dog food. He could buy 2 bags for $12 each, 3 bags for $8 each,or 4 bags for $6 each. Which statement is TRUE about the relationship between the number of bags

    and the price of each bag in this situation?

    A. It is an inverse variation because the ratio is always 24.

    B. It is an inverse variation because the product ofxandyis always 24.C. It is a direct variation because asxincreases, the total price increases.

    D. It is a direct variation because asyincreases, the total price increases.

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    26 M DCPS St d t A t d Ed ti l T ti G d 7 M th ti J 2013

    ____ 46. The two rugs shown below are geometrically similar.

    What isx, the width of the second rug, in feet (ft)?

    F.

    G.

    H.

    I.

    ____ 47. The formula for simple interest isI=prt whereIis the amount of interest,pis the amount ofprincipal borrowed,ris the rate of interest, and tis the amount of time in years. Terri will borrow$3,500 at an interest rate of 3% and plans on repaying the loan over 4 years. Using the interestformula, what is the total amount Terri will repay for the loan with interest?

    A. $420

    B. $3,920C. $4,200D. $4,550