KEY: Mathematics Assessment 6-3 Name: _________________ Date: __________________ 5. Which expression is the same as 3x - 9? A) 3(x + 3) DIRECTIONS: Read each question and determine the best answer. Fill in the bubble or write the answer in the correct space on your answer sheet. IN THIS SECTION YOU CANNOT USE A CALCULATOR. B) 3(x – 9) C) 3(x - 3) D) -3(x + 3) _______________________________________ 1. Mr. V announced that there is a 20% chance that the 6th grade trip will have to be cancelled. What is the probability that the 6th grade trip will be cancelled? A. B. C. D. 1 If a vending machine only takes quarters, how many quarters does Mike need if he wants to buy a bottle of water that costs $1.75? A rectangular shaped recreation center is 3/4 miles wide and has an area 7/8 square miles. What is the length of the recreation center? A. 21/32 miles / 20 1 /5 2 /5 1 /6 _______________________________________ 2. 6. B. 7/8 miles C. 3/4 miles D. 7/6 miles _______________________________________ 7. A) 6 Jamil and Jamal sold their cookies at a bake sale for $1.50 each. They made $151.50 during the bake sale. If they spent $59.61 on ingredients, how much profit did Jamil and Jamal make from the bake sale? B) 7 A) $91.89 C) 8 B) $98.19 D) 10 C) $101.89 _______________________________________ D) $98.11 3. Solve for x if 5x = 20: A) 100 B) 4 E) None of these _____________________________________ Use the diagram below to answer question 8 A B C) 15 6 cm D) 20 _______________________________________ 4. D 2769 13 = 8. A) 203 8 cm C What is the area of triangle ADC? A) 48 cm2 B) 210 B) 24 cm2 C) 231 C) 14 cm2 D) 213 D) 80 cm2 Page 1 KEY: Mathematics Assessment 6-3 9. Fernando has a job at the local car wash. Fernando earns $15 each time he washes a car. How many cars does he need to wash to earn $180? 12. A grown male lion weighs about 12 times as much as a newborn male lion. If a newborn male lion weighs 20 pounds, about how much does a grown male lion weigh? A) 24 pounds A) 11 B) 32 pounds B) 10 C) 240 pounds C) 13 D) 12 ______________________________________ 10. Using a coordinate plane like the one below, some treasure hunters mapped the locations of four shipwrecks in a lake. The wrecks are at (-2,0), (-2,5), (2,5) and (2,0). Which of the following geometric shapes are formed by connecting the points in order? D) 320 pounds _______________________________________ 13. Boston College’s cafeteria is about 5 times as wide as North Star’s cafeteria. If North Star’s cafeteria is 70.5 feet wide, about how wide is Boston College’s cafeteria? A) 330 feet B) 350 feet C) 360 feet D) 370 feet _______________________________________ 14. Evaluate |-65| 65 _______________________________________ A) Rectangle B) Square C) Trapezoid D) Pentagon ______________________________________ 11. What is the distance (in terms of units on the coordinate plane) between the shipwrecks located at (-2,0) and (-2,5)? A) -2 units B) (0, 5) C) 5 units D) 0 units 15. What is the greatest common factor of 36 and 54? A) 18 B) 9 C) 6 D) 36 _______________________________________ 16. What is the least common multiple of 7 and 9? A) 27 B) 63 C) 56 D) 49 Page 2 KEY: Mathematics Assessment 6-3 _______________________________________ _______________________________________ 17. In the computer lab 18 computers are working and 6 computers are not. What percent of the computers are not working? 21. Sixteen students brought in their homework one day. The ratio of those who did their homework to those who did not was 4 to 1. How many students did not bring in their homework? A) 33% A) 64 B) 8 C) 24 B) 25% C) 66% D) 75% _______________________________________ 18. At Global Packages, shipping charges are $4.25 for the first 3 pounds and 75 cents for each additional pound. At that rate, how much did a package weigh if the charge to ship it was $11? D) 4 ___________________________________________ 22. Jennifer drove 36 miles in an hour. At this rate, how far would she travel in 2 ¼ hours? A) 72 miles A) 6 pounds B) 80 miles B) 9 pounds C) 81 miles C) 12 pounds D) 15 pounds _______________________________________ 19. Jerrell ate at one of his favorite restaurants. The service at the restaurant was great, so Jerrell decided to leave a %15 tip equaling $6. What was the price of his meal before leaving the tip? D) 90 miles _______________________________________ 23. The chart below shows how much four North Star students spent on shoes: Person: Amount spent: Terry $35.13 Lovely ? A) $40.00 Steven $24.25 B) $0.90 Camille $30.39 C) $9.00 If the students spent $125.00 in total, how much did Lovely spend on her shoes? D) $35.00 A) $46.23 _______________________________________ B) $35.23 20. If the ratio of girls to boys in the grade is 2 to 1 and there are 15 students in the grade, how many of the students are girls? C) $35.00 D) $63.15 A) 15 B) 10 C) 5 D) 7 Page 3 KEY: Mathematics Assessment 6-3 24. A square pyramid has a base that is 6 inches by 6 inches. The height of this pyramid is 4 inches and the slant height is 5 inches. Find the surface area of this pyramid. 28. Which of the following questions describes the scenario below? Eleni is x years old. In thirteen years she will be twenty-four years old. A. B. C. D. Surface Area= __________ x + 24 = 13 x – 13 = 24 x + 13 = 24 24x = 13 29. Which is equivalent to 2(x + 2) _______________________________________ 25. What is the distance between (-7,3) and (7,3)? A. 7 units B. 0 units C. 14 units D. 4 units _______________________________________ A. 2x + 2 B. x + 4 C. 4x + 4 D. 2x + 4 _______________________________________ 30. If a machine can fill 4 bottles in 6 seconds, how many bottles can it fill in 18 seconds? A) 24 26. A cube has a length of 4 inches. What is the surface area of the cube? B) 12 C) 8 A) 16 in2 D) 7 _______________________________________ B) 96 in2 C) 64 in2 D) 48 in2 _____________________________________ 27. This chart shows the amount of weight 4 containers can hold. Container: Amount: A 5.89 grams B 63.6 milligrams C 5.83 grams D 61.2 milligrams 31. What is the area of a triangle if the base of the triangle measures 6 inches and the height is 4 inches? A.12 in2 B.24 in2 C.28 in2 D.30 in2 _____________________________________ Which container holds the least amount of weight? A, B, C, or D Page 4 KEY: Mathematics Assessment 6-3 32. John traced a heart on the grid below. Each box is equal to one square unit. 36. Put the integers in order from least to greatest -67, -70, -54, 0 _______________________________________ 37. Compare the following numbers : >, <, or = - 20 Which of these answers is the closest estimate of the area of the heart? A) 16 square units B) 20 square units C) 24 square units D) 12 square units _______________________________________ 33. Jean can run 3 miles in 24 minutes. How long would it take Jean to run 9 miles? A. 72 minutes B. 36 minutes C 18 minutes D. 27 minutes 34. For the school festival, Polly wants to make a snack mixture with 2 parts dried fruit to every 3 parts assorted nuts. How much dried fruit will she need to make 30 pounds of the mixture? 2x+3x=30 5x = 30 x=6 2x = 12 12 lb fruit +18 lb nut = 30 lb mixture 12 pounds of dried fruit _______________________________________ 14 38. Farmer John gets paid $ .72 per pound for the first 200 pounds of raisins he brings to the market. For additional pounds, he gets $ .63 per pound. How much money would Farmer John get for 260 pounds of raisins? 200 x .72 = 144 60 x .63 = 37.8 144 + 37.8 = $181.80 39. North Star had a bake sale and 145 people came. Each person bought three cookies. Each cookie cost $0.25. In the space below, use words or numbers to find the total value (amount of money) that North Star raised from their bake sale. 145 x 3 = 435 435 x .25 = $108.75 $ 108.75 STOP _______________________________________ 35. Carlos weighs 350 pounds. He decides to give up soda in his new diet plan. Each month, he plans to lose 6 pounds because of this. Write an algebraic expression representing how much weight he will lose. 350- 6m _______________________________________ Page 5 KEY: Mathematics Assessment 6-3 SECTION 3: Mathematics Joe collects baseball cards. He needs to make a poster of different baseball cards as a project for art class. For this project you will need to: Organize data Calculate costs ACTIVITY 1: ORGANIZE FIRST! These are the packs that Joe bought: Topps: 13 packs gave Joe 130 cards. The cost is $1.59 per pack. Score: 15 packs gave Joe 150 cards. The cost is $1.79 per pack. Donruss: 10 packs gave Joe 200 cards. The cost is $2.05 per pack. Upper Deck: 18 packs gave Joe 144 cards. The cost is $5.50 per pack. 40. Organize this baseball card information into a table. For each baseball card company include the following: Cost of one baseball card pack Number of baseball packs bought Number of baseball cards for each baseball card company Draw your table in the space below. You must give your table a title and label each column: Baseball cards Company Topps Score Donruss Upper Deck $ of one pack $ 1.59 $ 1.79 $ 2.05 $ 5.50 # of packs 13 15 10 18 # of cards 130 150 200 144 Page 6 KEY: Mathematics Assessment 6-3 ACTIVITY 2: CALCULATE! 41. Explain how to find the total amount of money spent on the Topps baseball card packs. Multiply the cost per pack ($ 1.59) by the number of packs bought (13). 42. Use your plan from Number 44 to find the total amount of money spent on each baseball card company. Topps: Total Cost: $__20.67_____ Score: Total Cost: $__26.85_____ Donruss: Total Cost: $__20.50_____ Upper Deck: Total Cost: $__99.00_____ Page 7 KEY: Mathematics Assessment 6-3 ACTIVITY 3: MAKE A PLAN Joe needs glue to stick the baseball cards onto the poster. His poster will be 6 feet by 12 feet. Glue sticks cost $1.50 for an amount that will cover 2 square feet. 43. Explain a strategy for how many glue sticks Joe will need to complete his entire poster. Find out how many 2 x 2 squares will fit into the 6 x 12 area. Or divide the total area (6 x 12) by the area of one square (2 x 2). 44. Use your strategy to find the total number of glue sticks Joe will need to complete his entire poster. Show your work in the space below. 6 x 12 = 72 2x2=4 72 4 = 18 Total number of glue sticks needed: ____18______ 45. Find the total cost for all of the glue sticks. Show your work in the space below. $ 1.50 x 18 = 27.00 Total cost of glue sticks: $___27.00____ ACTIVITY 4: THINK BACK 46. Fred, Joe’s classmate, made a different poster that was 12 feet by 24 feet. He thinks that for his poster he will need to use 2 times as many glue sticks as Joe’s poster. Explain why Fred is wrong. Fred will use 4 times as many glue sticks. This is because when you divide the area of a 6 x 12 square feet (72 sq. feet) by the area of a 12 x 24 square feet (288 sq. feet) the answer is 4, so Fred will need 4 times as many glue sticks. 47. Explain how a change in the cost of glue sticks would affect the amount of money Joe will spend on his poster. If the glue sticks cost more, the project will cost more, and if glue sticks cost less, the project will cost less. Page 8
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