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2011 Grade 6 Fourth Nine Weeks Study Guide Name______________________Pd_____ Probability You have a bag of marbles containing 12 green, 10 white, 5 blue, and 6 yellow marbles. 1. What is the probability of drawing a green marble at random? 2. What is the probability of picking a blue or a yellow marble? 3. What is the most likely marble to pick from the bag? 4. What is the sample space? 5. If you rolled a number cube 50 times and it landed on a three 10 times, what is the experimental probability of landing on a three? Statistics Use these numbers for the next four questions: 10, 12, 14, 12 6. What is the mean? 7. What is the range? 8. What is the median? 9. What is the mode? 10. What is the median of the numbers 16, 22, 23, 10, 5? 11. Draw a line plot using the numbers 2, 2, 3, 2, 4, 4, 3, 5, 2, 6, 5, 5 Number Theory 12. What is the prime factorization of 24? 13. What is the LCM of 15 and 12? 14. What is the GCF of 24 and 32? 1 3 15. What is the LCD of and 3 4 16. There are 12 boys and 16 girls in Maria’s class. What is the ratio of girls to boys? 17. Four more girls joined Maria's class. What is the new ratio of girls to boys? 10 6 18. Solve the proportion 25 n 19. If two out of 10 people eat ham for lunch, how many would eat ham out of 300 people? Write as a proportion and solve. D:\875609748.docLast printed 6/19/2017 11:50:00 PM 2011 Grade 6 Fourth Nine Weeks Study Guide Fractions, Decimals, Percents 20. 7 1 8 3 21. 1 3 2 4 22. 20 1 23 4 23. 5 10 6 15 24. reduce the fraction: 32 84 25. Write 0.32 as a percent 26. Write 1 as a decimal 4 27. Write 15% as a fraction Symmetry 28. What letters of the alphabet have horizontal line symmetry? 29. What letters of the alphabet have vertical line symmetry? 30. What letters of the alphabet have rotational symmetry? 31. How many lines of symmetry are there in a rectangle? 32. How many lines of symmetry are there in a parallelogram? 33. How many lines of symmetry are there in a square? 34. How many lines of symmetry are there in a pentagon? 35. What is the rotational symmetry for a square? 36. What is translational symmetry? Measurement and Scale 37. 32000 mg = ____________kg? 38. 2.6 L = __________mL? 39. 357 cm = _____mm? 40. Area is measured in ____________units; Volume is measured in ______________units. 41. If the scale of a map is 1 in = 5 miles, how far does 3 inches represent on the map? 42. If the scale of a map is 1 in = 3.5 miles, how far does 10 inches represent on the map? D:\875609748.docLast printed 6/19/2017 11:50:00 PM 2011 Grade 6 Fourth Nine Weeks Study Guide Volume and Surface Area 43. How many edges does a rectangular prism have? 44. How many faces does a triangular pyramid have? 45. How many vertices does a triangular pyramid have? 46. What is the volume of a rectangular prism with a length of 5 meters, a width of 6 meters, and a height of 12 meters? 47. What is the surface area of the rectangular prism above? Integers, Solving Equations 48. x 6 10 49. x 12 36 50. 7 + x = 19 51. 5x 20 52. 25x = 150 53. x 24 2 54. x 9 3 Complete the statements using >, <, or = 55. –5 ____ 4 56. Write the integer that describes “Mr. Smith gained 10 pounds last week.” 57. Write the integer that describes “256 feet below sea level.” D:\875609748.docLast printed 6/19/2017 11:50:00 PM