1. What fraction in simplest form represents the shaded part of the rectangle?

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1 6th Grade Winter Common Assessment Review Standardized Test Practice 1. What fraction in simplest form represents the shaded part of the rectangle? 2. Which statement describes the relationship of the shapes if shape W = 1? 3. Lucy collects mini-erasers. She made a list of each type of mini-eraser in her collection. She wants to know the fraction of each type of mini-eraser in her collection. Which list shows the correct fractions? Type Number Fruit 4 Vegetables 9 Shells 8 Fish 3

2 fruit, vegetables, shells, fish fruit, vegetables, shells, fish fruit, vegetables, shells, fish fruit, vegetables, shells, fish 4. In Tom s class, 6 students shared 4 pizzas. In Betsy s class, 8 students shared 4 pizzas. In Rosie s lass, 9 students shared 5 pizzas. In Zach s class, 7 students shared 4 pizzas. If all the pizzas are he same size, which student s classmates got the largest portion of pizza? Betsy Rosie Tom Zach 5. The hexagon design contains 3 hexagons. The diamond design contains 8 triangles. Each hexagon can be exactly covered by 6 of the triangles. What fractional part of the hexagon design is the diamond design? 6. A model of a whole is made with 15 tiles. It has 3 rows with 5 tiles each. How many tiles are in of the model? 3 5

3 Which set of fractions is in order from least to greatest? 8. The shaded squares in the figure below represent of the whole figure. Which statement best describes the fraction? It is not close to. It is close to, but less than. It is close to, but greater than. It is exactly. 9. Which list shows equivalent fractions?

4 10. Which list contains only fractions that are in simplest form? 11. Which of the fraction sums does not have a sum of 1? Use the fraction strips to help if neede 12. During a nature walk, Rhonda found of a dozen acorns and Arianna found of a dozen acorns. Betty said that together they found of a dozen acorns. Bret overheard their conversation and said that the denominator could not be 6, so Betty s statement was wrong. Who is right, Betty or Bret, and why? Betty, because the sum is and it simplifies to. Betty, because the sum cannot be close to 1. Bret, because the sum is and it simplifies to.

5 Bret, because the denominator must be 4 or When Carl, Emily, Leo, and Sophie were camping in northern Wisconsin, they kept track of the kinds of fish they caught and calculated the fraction of the total for each kind of fish. What fraction of the fish were bluegills and pumpkinseeds? Fish Number Fraction Bluegill 16 Pumpkinseed 12 Yellow bass 8 Bullhead 9 Northern pike When Ms. Newton asked volunteers to describe how to rewite a mixed number as an improper fraction, four students gave descriptions. Which description is correct? Multiply the whole number by the numerator of the fraction part and add the denominator of the fraction part to get the numerator of the improper fraction. Use the denominator of the fraction part as the denominator of the improper fraction. Multiply the whole number by the denominator of the fraction part and add the numerator of the fraction part to get the numerator of the improper fraction. Use the denominator of the fraction part as the denominator of the improper fraction. Multiply the numerator of the fraction part by the denominator of the fraction part to get the numerator of the improper fraction. Add the whole number and the denominator of the fraction part to get the denominator of the improper fraction. Multiply the numerator of the fraction part by the whole number to get the numerator of the improper fraction. Add the whole number and the denominator of the fraction part to get the denominator of the improper fraction.

6 15. What is the total amount of whole grains (whole wheat flour, buckwheat, and oatmeal) in the recipe for Granny s Whole Grain Bread? Granny s Whole Grain Bread cups whole wheat flour cups milk 2 packets dry yeast cup honey 3 tablespoons butter 2 tsp. salt cups buckwheat cups oatmeal Mix whole wheat flour and dry yeast together. Warm milk, honey, butter, and salt till lukewarm. Stir into flour and yeast mixture. Then add the buckwheat, oatmeal, and sunflower seeds and knead till smooth. Let rise twice. Then bake at 375 F for 45 minutes. cups 4 cups cups cups 16. James made a garden with 12 plots. He told his friends that he planted tomatoes in of of the garden. Which area model represents the part of the garden that contains tomatoes?

7 17. The area model shows the multiplication. Which expression shows the correct product? 18. Mr. Gauss asked Jenna and Jason to calculate the product. Jenna calculated as the product and Jason calculated as the product. Who calculated the correct answer? Neither Jenna nor Jason calculated the correct answer. Jenna calculated the only correct answer. Jason calculated the only correct answer. Both Jenna and Jason calculated the correct answer. 19. Which list correctly shows the reciprocals of?

2, 3, 4 20. Ms. Gooden feeds stray cats in the park every evening. She never knows how many cats will come to be fe The food is always shared equally among the cats that are at the park.

8 2, 3, Ms. Gooden feeds stray cats in the park every evening. She never knows how many cats will come to be fe The food is always shared equally among the cats that are at the park. One evening, when 6 cups of cat food were shared, each cat received cup of cat foo How many cats were fed that evening? 4 cats 6 cats 9 cats 18 cats 21. Which decimal is represented by the hundredths grid? Which list shows the decimals ordered from greatest to least? , , , , , , , , , , , , , , , Which shows the decimal equivalent of?

9 Michael put the following items in his shopping basket. Juice $3.98 Sandwich $4.19 Chips $0.79 What is the best estimate of the sum of the items to the nearest whole number? $7 $8 $9 $ What is the product ? Mrs. Wallace bought 0.75 pound of sliced turkey for $3.45 and 1.5 pounds of sliced ham for $6.60. How much more was the turkey per pound than the ham? $0.20 $1.20 $3.15 $ Which shows the decimal in word form? seventy-two ten thousandths seventy-two hundredths seventy-two thousandths seventy-two tenths 28. Which shows the decimal written as a mixed number? 29. Which hundredths grid models the expression?

$79 to the nearest whole number. 5 6 8 9 33. Convert the fraction to a decimal. Round your answer to the nearest thousandth. 0.7 0.778 1.286 7.9 34. Which decimal is plotted on the number line? 0.075 0.$

11 30. What is the closest benchmark decimal to the decimal ? What is the difference ? Estimate to the nearest whole number Convert the fraction to a decimal. Round your answer to the nearest thousandth Which decimal is plotted on the number line? Naomi put the following items in her shopping cart at the department store.

$0 $1 $2 $19 36. Which inequality best compares the decimals represented on the hundredths grids? 0.87 > 0.78 0.

12 Wipes $2.09 Plastic Bandages $1.79 Toothpaste $3.29 Socks $4.87 Thank You Notes $3.68 Shampoo $3.25 If Naomi hands the cashier a $20 bill, what is the best estimate of the amount of change she will get back? $0 $1 $2 $ Which inequality best compares the decimals represented on the hundredths grids? 0.87 > < > < Which multiplication problem is shown on the hundredths grid? = = 0.98

$2 0.7 = 0.14 3 0.14 = 0.42 38. Which fraction is represented by the hundredths grid? 39. Place the decimal point in the quotient to make the division sentence true. 8.94 0.016 = 55875 0.55875 5.$

13 2 0.7 = = Which fraction is represented by the hundredths grid? 39. Place the decimal point in the quotient to make the division sentence true = The table shows the time in seconds for each runner in a race. Who won the race? Runner Time (in seconds) Bob Piet Simon Josh Maria Spence 52.08

14 Randy Kylie Monika Paul Bob Spence Randy Kylie 41. Ling earns $108 for working 9 hours. Rachel earns $77 for working 7 hours. Ruben earns $92 for working 8 hours. Patrick earns $115 for working 10 hours. Who has the highest hourly wage? Ling Rachel Ruben Patrick 42. Essam buys 3 apples, 5 bananas, and 7 carrots from a market. What is the ratio of bananas to carrots? 7 to 5 5 to 7 3 to 7 7 to The table represents the ratio of tulips to daffodils in a garden. Tulips 17? 51? Daffodils 12 48? 60 How many tulips will there be if the garden has 60 daffodils? 36 tulips 60 tulips 68 tulips 85 tulips 44. Bill s favorite breakfast cereal is available in four different sizes. Which is the best buy? 15-ounce box for $ ounce box for $ ounce box for $ ounce box for $4.50

15 45. Two out of every 7 rubber bands in a multi-colored package are green. Which model would you use to determine the number of rubber bands that will be green in a multi-colored package of 35 rubber bands? 46. Chris is using a double number line to determine the amount of raisins he will use for a raisin bread recipe. If he uses cups of raisins, how many loaves will he make? Of the 45 members of the Henley Middle School Drama Club, 28 are girls. Which is a part-to-part ratio that describes this situation?

16 48. If you scale down the ratio on the left, what will you get for the unknown quantity on the right? 62 miles 31 miles 124 miles 72 miles 49. Krissa works as a cashier in an office supply store. The graph shows the ratio amount earned : time worke How much will Krissa earn if she works for 7 hours? $37.50 $42.00 $56.00 $ The graph represents the number of cups of flour for the number of cups of sugar in a cake recipe.

17 2 cups of flour : cups of sugar cups of flour : cups of sugar 5 cups of flour : 3 cups of sugar cups of flour : cups of sugar 51. There are 32 sixth graders and 44 seventh graders in the video gaming clu Which ratio is the greatest? the ratio of sixth graders to seventh graders the ratio of sixth graders to seventh graders the ratio of club members to sixth graders the ratio of club members to seventh graders 52. Tyler can swim 5 laps of the school pool in 3 minutes, Jose can swim 6 laps in 4 minutes, and Kevin can swim 4 laps in 2 minutes. Who is the fastest swimmer? Tyler Jose Kevin They all swim at the same spee 53. Mrs. Boswell is ordering cookies from a bakery for her daughter s eighth grade graduation party. She uses a table to figure out how many cookies to order. Number of Cookies? 168?? Number of People Which method would not give the correct number of cookies to order if she expects to have 42 people come to the party?

18 Take half the number of cookies needed for 28 people to get the number needed for 14 people. Then triple this number to get the number of cookies needed for 42 people. Double the number of cookies needed for 28 people. Take half the number of cookies needed for 28 people to get the number needed for 14 people. Then multiply this number by 4 to get the number of cookies needed for 56 people. Finally, subtract the number of cookies needed for 14 people from the number needed for 56 people. Take half the number of cookies needed for 28 people to get the number needed for 14 people. Then add the number of cookies needed for 14 people to 168 to get the number of cookies needed for 42 people. 54. For adult tickets at the local movie theater, the graph shows the ratio number of tickets : total cost. How many adult tickets can be purchased for $42.50? Maria is using a double number line to determine the amount of flour she will need to make a batch of sugar cookies. If she wants to make a batch of 48 cookies, how much flour will she need?

19 5 cups 10 cups 56. If you scale up the ratio on the left, what will you get for the unknown quantity on the right? 25 hours 30 hours 35 hours 40 hours 57. A custom shade of purple paint is made by mixing 5 parts of blue paint to 3 parts of red paint. The employees in the paint department of a home improvement store use this table to determine the amounts of blue and red paint needed to create this color for their customers. Amount of Purple Paint 8 pints 12 pints Amount of Blue Paint 5 pints 7.5 pints Amount of Red Paint 3 pints 4.5 pints How much red paint is needed to make 28 pints of the custom shade of purple paint? 14 pints 10.5 pints 17.5 pints 16.8 pints 58. If a store sells 60 square feet of hardwood flooring for $345, what is the unit price? $345 per 60 square feet $57.50 per 10 square feet $6.00 per square foot $5.75 per square foot 59. Pedro, Ella, and Roopa made a graph to compare how well they are paid on their jobs. The graph shows the ratio amount earned : hours worked for each of them.

20 Who is the best paid? Pedro Ella Roopa They are all paid at the same rate. 60. The double number line represent the ratio distance : time for a cyclist biking at a constant rate. Which ratio is equivalent to the cyclist s rate? 30 miles : 20 miles : 10 miles : 1 hour 50 miles : 4 hours

21 6th Grade Winter Common Assessment Review Answer Section 1. ANS: B PTS: 1 REF: 3.5 NAT: 4.NF.1 KEY: simplest form Multiplicative Identity Property 2. ANS: D PTS: 1 REF: 3.2 NAT: 5.NF.1 6.NS.1 3. ANS: A PTS: 1 REF: 3.1 NAT: 4.NF.1 6.NS.1 KEY: fraction numerator denominator 4. ANS: C PTS: 1 REF: 3.5 NAT: 4.NF.1 KEY: simplest form Multiplicative Identity Property 5. ANS: D PTS: 1 REF: 3.2 NAT: 5.NF.1 6.NS.1 6. ANS: C PTS: 1 REF: 3.8 NAT: 5.NF.4a 5.NF.4b 5.NF.6 6.NS.1 7. ANS: B PTS: 1 REF: 3.5 NAT: 4.NF.1 KEY: simplest form Multiplicative Identity Property 8. ANS: C PTS: 1 REF: 3.4 NAT: 4.NF.2 6.NS.1 KEY: benchmark fractions inequality 9. ANS: A PTS: 1 REF: 3.5 NAT: 4.NF.1 KEY: simplest form Multiplicative Identity Property 10. ANS: B PTS: 1 REF: 3.5 NAT: 4.NF.1 KEY: simplest form Multiplicative Identity Property 11. ANS: D PTS: 1 REF: 3.6 NAT: 4.NF.3b 4.NF.3d 5.NF.1 5.NF.2 KEY: common denominator least common denominator (LCD) 12. ANS: A PTS: 1 REF: 3.6 NAT: 4.NF.3b 4.NF.3d 5.NF.1 5.NF.2 KEY: common denominator least common denominator (LCD) 13. ANS: C PTS: 1 REF: 3.6 NAT: 4.NF.3b 4.NF.3d 5.NF.1 5.NF.2 KEY: common denominator least common denominator (LCD) 14. ANS: B PTS: 1 REF: 3.7 NAT: 4.NF.3c 5.NF.1 6.NS.1 KEY: mixed number improper fractions 15. ANS: D PTS: 1 REF: 3.7 NAT: 4.NF.3c 5.NF.1 6.NS.1 KEY: mixed number improper fractions 16. ANS: C PTS: 1 REF: 3.8 NAT: 5.NF.4a 5.NF.4b 5.NF.6 6.NS ANS: A PTS: 1 REF: 3.8 NAT: 5.NF.4a 5.NF.4b 5.NF.6 6.NS ANS: D PTS: 1 REF: 3.8 NAT: 5.NF.4a 5.NF.4b 5.NF.6 6.NS ANS: B PTS: 1 REF: 3.9 NAT: 6.NS.1 KEY: reciprocal multiplicative inverse Multiplicative Inverse Property 20. ANS: C PTS: 1 REF: 3.9 NAT: 6.NS.1 KEY: reciprocal multiplicative inverse Multiplicative Inverse Property 21. ANS: A PTS: 1 REF: 4.1 NAT: 5.NBT.1 5.NBT.3.a KEY: decimal 22. ANS: D PTS: 1 REF: 4.2 NAT: 5.NBT.3.a 5.NBT.3.b 5.NBT.4 KEY: benchmark decimal round

22 23. ANS: B PTS: 1 REF: 4.3 NAT: 4.NF.6 KEY: terminating decimal repeating decimal 24. ANS: C PTS: 1 REF: 4.4 NAT: 6.NS ANS: B PTS: 1 REF: 4.5 NAT: 6.NS ANS: A PTS: 1 REF: 4.4 NAT: 6.NS ANS: C PTS: 1 REF: 4.1 NAT: 5.NBT.1 5.NBT.3.a KEY: decimal 28. ANS: B PTS: 1 REF: 4.3 NAT: 4.NF.6 KEY: terminating decimal repeating decimal 29. ANS: A PTS: 1 REF: 4.5 NAT: 6.NS ANS: B PTS: 1 REF: 4.2 NAT: 5.NBT.3.a 5.NBT.3.b 5.NBT.4 KEY: benchmark decimal round 31. ANS: A PTS: 1 REF: 4.4 NAT: 6.NS ANS: A PTS: 1 REF: 4.7 NAT: 6.NS.2 6.NS ANS: B PTS: 1 REF: 4.3 NAT: 4.NF.6 KEY: terminating decimal repeating decimal 34. ANS: D PTS: 1 REF: 4.1 NAT: 5.NBT.1 5.NBT.3.a KEY: decimal 35. ANS: B PTS: 1 REF: 4.4 NAT: 6.NS ANS: A PTS: 1 REF: 4.2 NAT: 5.NBT.3.a 5.NBT.3.b 5.NBT.4 KEY: benchmark decimal round 37. ANS: D PTS: 1 REF: 4.5 NAT: 6.NS ANS: B PTS: 1 REF: 4.1 NAT: 5.NBT.1 5.NBT.3.a KEY: decimal 39. ANS: D PTS: 1 REF: 4.7 NAT: 6.NS.2 6.NS ANS: D PTS: 1 REF: 4.2 NAT: 5.NBT.3.a 5.NBT.3.b 5.NBT.4 KEY: benchmark decimal round 41. ANS: A PTS: 1 REF: 5.2 NAT: 6.RP ANS: B PTS: 1 REF: 5.1 NAT: 6.RP.1 KEY: ratio 43. ANS: D PTS: 1 REF: 5.5 NAT: 6.RP.1 6.RP.2 6.RP.3.a 44. ANS: D PTS: 1 REF: 5.8 KEY: unit rate 45. ANS: C PTS: 1 REF: 5.1 NAT: 6.RP.1 KEY: ratio 46. ANS: A PTS: 1 REF: 5.4 NAT: 6.RP.1 6.RP.3.d KEY: double number line 47. ANS: D PTS: 1 REF: 5.1 NAT: 6.RP.1

23 KEY: ratio 48. ANS: A PTS: 1 REF: 5.3 NAT: 6.RP.1 6.RP.3.d KEY: rate scaling up scaling down 49. ANS: D PTS: 1 REF: 5.6 NAT: 6.RP.1 6.RP.3.a 6.RP.3.b 50. ANS: B PTS: 1 REF: 5.6 NAT: 6.RP.1 6.RP.3.a 6.RP.3.b 51. ANS: C PTS: 1 REF: 5.2 NAT: 6.RP ANS: C PTS: 1 REF: 5.2 NAT: 6.RP ANS: B PTS: 1 REF: 5.5 NAT: 6.RP.1 6.RP.2 6.RP.3.a 54. ANS: A PTS: 1 REF: 5.6 NAT: 6.RP.1 6.RP.3.a 6.RP.3.b 55. ANS: C PTS: 1 REF: 5.4 NAT: 6.RP.1 6.RP.3.d KEY: double number line 56. ANS: B PTS: 1 REF: 5.3 NAT: 6.RP.1 6.RP.3.d KEY: rate scaling up scaling down 57. ANS: B PTS: 1 REF: 5.5 NAT: 6.RP.1 6.RP.2 6.RP.3.a 58. ANS: D PTS: 1 REF: 5.8 KEY: unit rate 59. ANS: C PTS: 1 REF: 5.6 NAT: 6.RP.1 6.RP.3.a 6.RP.3.b 60. ANS: A PTS: 1 REF: 5.4 NAT: 6.RP.1 6.RP.3.d KEY: double number line

Math Summer Break Packet

Math Summer Break Packet 2016 Summer Break Packet Note to the Student Summer Break Packet You learned so much in Grade 5! It is important that you keep practicing your math skills over the summer to be ready for your 6th grade