Final Exam- 6th grade Math
Use Order of Operations to evaluate the following.
1. 14 + 3 • 8 = a. 136 b. 38 c. 72 d. none
2. 9 – 3 • 2 + 6 = a. 18 b. 48 c. 9 d. none
3. 7 • 5 + 6 • 2 = a. 82 b. 47 c. 117 d. none
4. 8 • 9 – 6 – 4 = a. 62 b. –108 c. 52. d. none
5. 3 • 6 + 14 – 2 = a. 30 b. 54 c. 58 d. none
6. 18 + 24 – 12 + 5 = a. 4 b. 1 c. 35 d. none
Evaluate the expressions if j = 2, k = 7, and m = 9
7. 2m – 5j a. 4 b. 0 c. 8 d. none
8. 2j + k – m a. 6 b. 2 c. –5 d. none
9. jk + 7 a. 21 b. 34 c. 16 d. none
The following is a list of the last 10 U.S. Presidents, and their age when they were 1st elected.
Bush 54 Ford 61 Clinton 46 Nixon 55 Bush 64 Johnson 56 Reagan 69 Kennedy 43 Carter 52 Eisenhower 62 10. What is the mean age of the last 10 Presidents? a. 62.3 b. 56.2 c. 60.4 d. none
11. What is the median age of the last 10 Presidents? a. 54 b. 58 c. 55.5 d. none
12. What is the mode for the data above? a. 61 b. 56 c. there is no mode d. none
13. What is the range for the data above? a. 25 d. 23 c. 115 d. none
14. a. 0.315 b. 0.0325 c. 0.3025 d. none
15. a. 0.799 b. 0.08 c. 0.8 d. none
16. a. 0.0029 b. 0.031 c. 0.0309 d. none
17. a. 0.7 b. 0.67 c. 0.0834 d. none
18. a. 0.73 b. 0.07 c. 0.072 d. none
19. a. 0.980 b. 0.098 c. 0.0908 d. none
20. 0.2154 – 0.1526 21. a. 0.0628 b. 0.628 c. 6.28 d. none
22. 22. 15.256 + 0.236 23. a. 154.92 b. 1.5492 c. 15.492 d. none
24. 24. 3.7 + 1.5 +0.2 25. a. 5.4 b. 0.54 c. 54.0 d. none
26. 25. 8.54 • 3.27 27. a. 2.79258 b. 27.9258 c. 279.258 d. none
28. 16.8 • 4.5 a. 75.6 b. 0.756 c. 7.56 d. none 29. 82 a. a. 16 b. 64 c. 87 d. none
30. 010 a. a. 10 b. 1 c. 0 d. none
31. 45 a. a. 1024 b. 20 c. 45 d. none
32. 3 cubed a. a. 27 b. 81 c. 729 d. none
33. 8 28.96 a. 0.28 b. 0.36 c. 3.62 d. none
34. 0.74 19.98 a. 27 b. 2.7 c. 0.27 d. none
35. 5.9 48.97 a. 8.3 b. 0.12 c. 1.21 d. none
State whether each number is divisible by 2, 3, 4, 5, 6, 9, and/or 10.
36. 216 a. 2,3,4,6,9 b. 2,3,6 c. 3,5,9,10 d. none
37. 135 a. 2,3,9 b. 3,4,6,9 c, 3,5,9 d. none
38. 351 a. 3,6,9 b. 3,9 c. 3,6 d. none
46. 108 a. 6 • 9 •2 b. 32 • 6 • 2 c. 34 • 22 d. none
Find the Greatest Common Factor (GCF) of each pair of numbers. 47. 32, 36 a. 8 b. 6 c. 4 d. none
48. 33, 55 a. 11 b. 3 c. 5 d. none
Find the Least Common Multiple (LCM) of each pair of numbers.
50. 18, 12 a. 6 b. 36 c. 72 d. none
51. 16, 20 a. 80 b. 6 c. 160 d. none
Convert the following decimals into fractions in simplified form.
54. 0.2 2 1 1 a. b. c. d. none 10 5 2
55. 0.25 1 25 2 a. b. c. d. none 4 100 5
Convert the following fraction into decimals.
1 57. 8 a. 0.125 b. 0.18 c. 1.8 d. none
1 58. 2 a. 0.12 b. 0.5 c. 1.2 d. none Add or Subtract. Simplify if needed
5 5 59. 5 + 7 8 12
10 1 1 a. 12 b. 12 c. 13 d. none 20 2 24
7 3 64. 8 - 7 15 4
43 4 4 a. b. 1 c. 1 d. none 60 11 9
Multiply or divide the following fractions and mixed numbers. Simplify if needed.
3 65. ÷ 4 7
5 3 3 a. b. 28 c. d. none 28 4
5 8 66. · 16 15
40 1 13 a. b. c. d. none 240 6 31
21 7 68. 40 20
1 2 1 a. 1 b. c. 3 d. none 2 3 2 1 3 69. 7 · 1 2 10
3 1 3 a. 7 b. 7 c. 9 d. none 20 4 4
Classify the following polygons. Be as specific as possible.
71.
72. a. parallelogram b. rectangle c. trapezoid d. square
73. a. rectangle b. trapezoid c. parallelogram d. rhombus
Solve the following proportions for the variable.
d 6 79. 12 8
a. d = 9 b. d = 6 c. d = 12 d. none
7 3 80. 35 k
a. k = 25 b. k = 15 c. k = 5 d. none 8 15 81. f 60
a. f = 24 b. f = 28 c. f = 32 d. none
Calculate the following percents.
83. 34% of 30 a. 10.2 b. 1020 c. 102 d. none
87. Find the area of a triangle that has a base of 3 ft. and a height of 12 ft. a. 36 ft2 b. 18ft2 c. 72 ft2 d. none
90. Find the volume of a rectangular prism that has the dimensions 7 m x 7m x 8m. a. 392 m3 b. 22 m3 c. 308 m3 d. none
91. Find the total surface area of a box that has the dimensions 4cm x 5 cm x 6cm. a. 120 cm2 b. 154 cm2 c. 77 cm2 d. none
Solve the following algebraic equations
96. 3a = 48 a. a = 16 b. a = -16 c. a = -45 d. none
1 97. k = 9 5
a. k = 45 b. k = -45 c. k = -4 d. none 98. g – 8 = 9 a. g = 1 b. g = -1 c. g = 17 d. none
Have a Wonderful Summer! I had a great time with you this year. We shared many laughs and worked hard together. I hope you will look back on your 6th grade year with fun and happy memories. You are a great group of students and I will miss seeing each of you this summer. See you in 7th grade!
- Mr. C