6 th Grade Domain 2: The Number System (30 %)
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- Virgil Griffin
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1 6 th Grade Domain 2: The Number System (30 %) Find the quotient. (MGSE6.NS.& MGSE6.NS.3) For Questions 5: Simplify the given expressions as much as possible. A B C 2 6 A 5 B 5 D 7 6 C D 30 A B 3.4 C D A B C 2 D Find the quotient. Identify the quotient as a terminating or repeating decimal. (MGSE6.NS.2) 4 A.583 ; repeating B 4.8; terminating C ; repeating D 4.75 terminating 6. You have 2 2 cups of dried fruit to 3 divide evenly among 3 children. How many cups of fruit will each child receive? (MGSE6.NS.) A 7
2 B C D C $2.04 D $ Find the product. (MGSE6.NS.3) 7. A group of 6 th graders decided to take a trip to Six Flags. Kate s mom spent $576 on 6 admission tickets. How much did Kate s mom spend on each ticket? (MGSE6.NS.2) A $35 B $36 A 6.38 B 0.44 C 0.7 D C $38 D $40. List the factors to find the greatest common factor of 55 and 44. (MGSE6.NS.4) A - 8. One of the performers at the circus is Zachary, the Human Cannonball. On Saturday he does three shows. His distances measure.2 meters, 5.5 meters, and 6.8 meters. What is the total distance Zachary flies that day? (MGSE6.NS.3) B C 220 D 55 A 40.6 m B 4.5 m C 40. m D 4.8 m. Manny has $7.6 in his savings account. He takes out $ How much money does he have left in the account? (MGSE6.NS.3) A $45.33 B $ Find the GCF of the numbers. (MGSE6.NS.4) A 0 B , 66
3 C 6 D 2 A 68 B List the LCM of the numbers. (MGSE6.NS.4) 3,, 2 C D A 36 B 33 C 32 D A local reader s club has a set of 2 hardback books, a set of 8 paperbacks, and a set of 36 magazines. Each set can be divided equally among the club members. What is the greatest possible number of club members? (MGSE6.NS.4) A 3 members B 6 members C 4 members D 8 members 5. Mandy has 224 pieces of candy. 3 of the candy is chocolate bars. 4 How many chocolate bars does she have? (MGSE6.NS.) Short Answer 6. Car A can go 332 miles on 2.5 gallons of gasoline. Car B can go 304 miles on 0.5 gallons of gasoline. (MGSE6.NS.3)
4 a) Which car has the better gas mileage? b) How much better? Round to the nearest tenth. 7. Suzanne needs material for her school project. She buys 2.45 yards of material at $4.84 a yard. What is the total cost of the material? Round to the nearest cent. (MGSE6.NS.3) 8. Mr. Teachermann gave his students several numbers to add to assess their understanding of decimals and place value. The numbers were as follows: 2.,.232,.87, 42.35, 38,.86 What is the sum of the given numbers? (MGSE6.NS.3). Use a factor tree to find the GCF of 52 and Alejandro and Jean are distributing erasers and pencils to the art class. There are 63 erasers and 72 pencils. Each student receives the same number of pencils and the same number of erasers, and no supplies are left over. What is the greatest number of students in the class? (MGSE6.NS.4)
5 MGSE6.NS.5 2 A scuba diver is swimming at 25 feet below sea level. He then goes down 3 more feet. Represent his new depth below sea level as an integer. A. 2 B. 2 C. 38 D. 38 MGSE6.NS A submarine started out at 25 feet above sea level. Then it went down 00 feet and cruised there for 30 minutes. Afterwards the submarine came back up 30 feet. What integer represents the new depth of the submarine? A. 30 B. 45 C. 5 D. 45 MGSE6.NS One morning, the temperature was 5 below zero. By noon, the temperature rose 20 Fahrenheit (F) and then dropped 8 F by evening. What was the evening temperature? A. 7 below zero B. 5 below zero C. 2 above zero D. 7 above zero MGSE6.NS Denver, Colorado is called The Mile High City because its elevation is 5280 feet above sea level. Someone tells you that the elevation of Death Valley, California is 282 feet. How much higher is Denver than Death Valley? E feet F feet G feet H feet MGSE6.NS.6,6a 25. Find the opposite of 68. A. 68 B. 68 C. 68 D. 68 MGSE6.NS.6c 26. Label the quadrant for points B, C, and D. D A. B (Q 2), C (Q 4), D (Q 3) B. B (Q ), C (Q 3), D (Q 4) C. B (Q 4), C (Q 2), D (Q 3) D. B (Q 3), C (Q ), D (Q 2) MGSE6.NS.6b 27. Reflect the point (5, 5) over the y-axis. What are the coordinates of the new location? A. ( 5, 5) B. ( 5, 5) C. (5, 5) D. (0, 5) 5 A 4 MGSE6.NS.6b 28. The point C (x, y) is reflected over the x-axis. Use arrow notation to describe the original point and its reflection. A. (x, y) (x, 2y) B. (x, y) ( x, y) C. (x, y) ( x, y) D. (x, y) (x, y) B x y C
6 MGSE6.NS.7c &7d 2. Write the absolute value of each point on the number line below in order from least to greatest. A., - 6, 5 B. 6, -, 5 C., 5, 6 D. 6, - 5, - MGSE6.NS.7a &7b 30. It s 6⁰ C in Rogers Pass, Montana and 4⁰C in Tower, Minnesota. Which city is colder and how much colder? A. Tower is 8 degrees colder than Rogers. B. Tower is 20 degrees colder that Rogers. C. Rogers is 20 degrees colder that Rogers. D. Rogers is 8 degrees colder that Rogers. MGSE6.NS.7 3. Order the following numbers from least to greatest: 3, 6, 3, 20, 5, 0. A. 20, 5, 3, 6, 3, 0 B. 20, 3, 0, 3, 5, 6 C. 0, 3, 20, 3, 6, 5 D. 6, 5, 3, 0, 3, 20 MGSE6.NS.7a 32. Which graph shows the inequality w 5? A. B. C. D You are designing a rectangular playground. On your scale drawing, the vertices of the rectangle are (6, 3), (6, 5), and (8, 3). What are the coordinates of the fourth vertex? (Hint: Graph the points) A. (3, 8) B. (4, 5) C. (5, 6) D. (8, 5) 34. The points (3, 5 ) and (3, 2 ) are graphed on a 2 4 coordinate plane. What is the distance between these points? a b. 4.5 c d Jack s house is at (- 6, 4), the library is at (- 2,4), and the pet shop is at (5, - 3). What is the distance between Jack s house and the library? A. 3 B. 4 C. 5 D In a coordinate plane, the points (2, 4) and (3, ) are on a line. Which of the following must be true? a. The line crosses the x-axis. b. The line passes through (0, 0). c. The line stays above the x-axis at all times. d. The line is parallel to the y-axis.
7 6. Number System Fluency: 6 th On-Level Summative Assessment Answer Section Question Answer Standard D MGSE6.NS. 2 B MGSE6.NS. 3 A MGSE6.NS. 4 B MGSE6.NS.3 5 D MGSE6.NS.2 6 C MGSE6.NS. 7 B MGSE6.NS.2 8 B MGSE6.NS.3 B MGSE6.NS.3 0 C MGSE6.NS.3 B MGSE6.NS.4 2 C MGSE6.NS.4 3 C MGSE6.NS.4 4 B MGSE6.NS.4 5 A MGSE6.NS. 6 a) Car B MGSE6.NS.3 b) 2.4 miles per gallon 7 $.86 MGSE6.NS.3 8 $2.53 MGSE6.NS.3 MGSE6.NS.4 20 students MCC.6.NS.4
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