6th Grade Math Final Exam (ADV)
  • 1. Which lettered point is graphed at the opposite of 2 on the number line below?
A) C
B) A
C) B
D) D
  • 2. What is the greatest common factor of 30 and 45?
A) 30
B) 1
C) 5
D) 15
  • 3. What is the least common multiple of 16 and 24?
A) 48
B) 4
C) 16
D) 24
  • 4. Jason plotted points on a number line at the four values below. 0.75, 2/3 , 0.25, and 7/8. Which of these values is farthest from zero?
A) 0.75
B) 2/3
C) 7/8
D) 0.25
  • 5. To which set or sets below does the number 1/2 belong?
A) whole numbers only
B) rational numbers only
C) integers and rational numbers only
D) whole numbers, integers, and rational numbers
  • 6. Susie divided a 3-pound bag of apples into 2 equal piles. How many pounds of apples are in each pile?
A) 1 1/2 lb.
B) 2/3 lb.
C) 2 1/3 lb.
D) 1/2 lb.
  • 7. Stephen’s glass holds 450 milliliters of milk. Farrah’s glass holds 2/5 as much milk. How much milk does Farrah’s glass hold?
A) 180 mL
B) 360 mL
C) 225 mL
D) 90 mL
  • 8. Leah cut a 7 1/2 -inch piece of ribbon into pieces that are each 3/4 of an inch long. How many pieces of ribbon did she cut?
A) 9 pieces
B) 15 pieces
C) 10 pieces
D) 6 pieces
  • 9. Jonas is making a trail mix recipe that calls for 3 1/2 cups of nuts and 1 1/2 cups of raisins. Jonas mixes the nuts and raisins together. He will then divide the mixture into plastic bags containing cup of trail mix in each bag. How many plastic bags does Jonas need?
A) 5 bags
B) 1 bag
C) 20 bags
D) 50 bags
  • 10. Jinwon hit a golf ball 145.7 yards. Kayla hit a golf ball 122.95 yards. How much farther did Jinwon hit a golf ball?
A) 30.25 yd
B) 80.12 yd
C) 108.36 yd
D) 22.75 yd
  • 11. Gabriel drives 80 kilometers in one hour. If he drives at the same speed, how many kilometers can he drive in 3.75 hours?
A) 300 km
B) 80.75 km
C) 24.75 km
D) 30 km
  • 12. A pitcher can hold 5.2 liters of water. How many 0.4-liter glasses of water can be poured from the pitcher?
A) 52 glasses
B) 2.08 glasses
C) 13 glasses
D) 5.8 glasses
  • 13. Alissa’s budget is shown in the circle graph below. Her total monthly budget is $1,500. How much does Alissa spend on rent?
A) $500
B) $450
C) $250
D) $300
  • 14. Sara bought a 20-ounce jar of strawberry jam for $4. What is the unit price?
A) $5.00/oz.
B) $0.20/oz.
C) $2.00/oz.
D) $0.40/oz.
  • 15. Nora bikes 30 miles per hour. Jiro bikes 45 miles per hour. Nora and Jiro each bike for 5 hours. How many more miles does Jiro bike?
A) 150 mi.
B) 225 mi.
C) 15 mi.
D) 75 mi.
  • 16. What percent of the circle is shaded?
A) 62.5%
B) 70%
C) 30%
D) 37.5%
  • 17. Which of the following expressions is equivalent to the expression below? 2(7x + 3 - x)
A) 14x + 6
B) 17x - 2
C) 11x + 3
D) 12x + 6
  • 18. Which is a solution of the equation below? x - 9 = 4
A) - 13
B) 5
C) - 5
D) 13
  • 19. Evaluate the expression below for x = 4; 6(x + 8)
A) 6
B) 8
C) 2
D) 72
  • 20. What are the coordinates of point P?
A) (2, 8)
B) ( 6, 4)
C) (80, 4)
D) (4, 80)
  • 21. What is the value of the expression: 205 - (7 - 2)3 + 5 ?
A) 85
B) 195
C) 191
D) 70
  • 22. A parallelogram has a base of 16 centimeters and a height of 4 centimeters. What is the area of the parallelogram?
A) 128 cm2
B) 16 cm2
C) 32 cm2
D) 64 cm2
  • 23. A rectangular prism has a volume of 577.2 cubic feet. The prism is 5.2 feet long and 7.4 feet wide. What is the height of the prism?
A) 78 ft
B) 111 ft
C) 39 ft
D) 15 ft
  • 24. What is the area of the trapezoid?
A) 4,968 m2
B) 2,484 m2
C) 216 m2
D) 246 m2
  • 25. A triangle has a base of 15 in. and a height of 32 in. What is the area of the triangle?
A) 480 in.2
B) 240 in.2
C) 24 in.2
D) 48 in.2
  • 26. What is the area of the polygon shown?
A) 40 cm2
B) 9 cm2
C) 10 cm2
D) 20 cm2
  • 27. What is the distance between points A and B on the grid?
A) 7 units
B) 3 units
C) 6 units
D) 4 units
  • 28. A swimming pool in the shape of a rectangular prism is 30 feet long, 15 1/2 feet wide, and 6 feet deep. How much water could the swimming pool hold?
A) 465 ft3
B) 1,860 ft3
C) 2790 ft3
D) 930 ft3
  • 29. What is the median of the data represented in the box plot?
A) 35
B) 45
C) 55
D) 25
  • 30. What is the range of the data represented in the dot plot?
A) 0
B) 3
C) 2
D) 1
  • 31. Toni is designing a rug using a coordinate plane. She uses polygon ABCD with vertices A(2, 2), B(-2, 2), C(-2, -2), and D(2, -2). Each unit on the grid represents 1 foot. What is the area of the actual rug?
A) 4 ft2
B) 2 ft2
C) 8 ft2
D) 16 ft2
  • 32. Which decimal is equivalent to 4/20 ?
A) 0.2
B) 4.2
C) 0.6
D) 1.4
  • 33. Four students put their game scores on the number line. What is the combined score of students B and C?
A) 1
B) -3
C) 3
D) 0
  • 34. Tamera walked 3/4 mile in 1/2 hour. What is the unit rate Tamera walked?
A) 1/2 mi./hr.
B) 3/4 mi./hr.
C) 2/3 mi./hr.
D) 1 1/2 mi./hr.
  • 35. Becky earned $21,280.02 last year. She earned the same amount each month. To the nearest penny, how much did she earn per month last year?
A) $2,883.39
B) $177.34
C) $1,773.34
D) $2,103.34
  • 36. On a certain map, 1.25 inches represents 20 miles. Longwood and Milltown are 5 inches apart on the map. What is the actual distance between Longwood and Milltown?
A) 20 mi.
B) 25 mi.
C) 80 mi.
D) 100 mi.
  • 37. Evaluate the expression: 6(x + 15) for x = - 4.
A) -66
B) 66
C) 5
D) -5
  • 38. What is the dependent variable?
A) time
B) distance
C) Bike B
D) Bike A
  • 39. Which equation represents Bike B?
A) y = 80x
B) y = 60x
C) y = 10x
D) y = 6x
  • 40. A right triangle has a height of 21 centimeters and a base of 11.6 centimeters. What is the area of the triangle?
A) 487.2 cm2
B) 243.6 cm2
C) 121.8 cm2
D) 5,115.6 cm2
  • 41. A lawn in the shape of a trapezoid has an area of 1,833 square meters. The length of one base is 52 meters, and the length of the other base is 42 meters. What is the height of the trapezoid?
A) 39 m
B) 43.6 m
C) 94 m
D) 35.25 m
  • 42. Write an algebraic expression for the phrase: 12 less than twice a number.
A) 2n - 12
B) 6 - 2n
C) 12 - n - n
D) 12n - 2
  • 43. Charlene is wrapping the box with gift wrap. How much wrapping paper will she need?
A) 178 in.2
B) 286 in.2
C) 90 in.2
D) 53 in.2
  • 44. Sandra worked 6.2 hours on Wednesday, 5.5 hours on Thursday, and 3.5 hours on Friday. Which of the following is closest to the mean number of hours she worked over the three-day period?
A) 3 h
B) 6 h
C) 4 h
D) 5 h
  • 45. The histogram shows the number of hours per month students in Mr. Carter’s class watch television. How many students watch television between 11 and 20 hours per month?
A) 2
B) 10
C) 4
D) 5
  • 46. What is the value of - 12 - (- 35)?
A) 47
B) - 23
C) 23
D) - 47
  • 47. Briana played a trivia game in which she lost 5 points for each incorrect answer and gained 10 points for each correct answer. If Briana answered 11 questions correctly and 4 questions incorrectly, what was her total score?
A) 15 points
B) 70 points
C) 90 points
D) 80 points
  • 48. Benjamin had $450 in his bank account on Monday. On Tuesday he wrote five checks for $24.50 each. On Wednesday he made three deposits of $45 each. How much money was in his account after the checks and deposits cleared?
A) $462.50
B) $437.50
C) $192.50
D) $707.50
  • 49. Marianne can say hello in more than 7 languages. Which number line could represent this situation?
A) A
B) C
C) D
D) B
  • 50. Which of these is equivalent to 40%?
A) 0.44
B) 1/4
C) 0.04
D) 2/5
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