6 Grade Math Midterm Exam
Mrs. Bendek and Mrs Esquivel
Name: ____________________________
Math Block: __________
In 1 and 2, use the line graph.
1. Which year had the lowest amount? __________________
a. 1992
b.1993
c. 1997
d. 1996
2. What is the difference between the amount of people who switched
for 1996 and 1993? ___________
a. 4 million
b. 5 million
c. 6 million
d. 3 million
In 3, choose the line graph that best describes the chart below.
3.
a.
b.
c.
d. Not here.
1
In 4-6, use the following set of data to answer questions:
45,47,50,46,45,49,47,50,45,46,47,49
4. What is the median of the data?
a. 45
b. 47
c. 46
d. 49
5. What is the mode of the data?
a. 45 and 47
b. 45
c. 46 and 47
d. 47
6. What is the mean of the data?
a. 45.17
b. 49 c. 47.17 d. 46
7. Which stem-and-leaf diagram accurately represents the data set
17, 23, 24, 28, 34, 36, 22, 12, 14, 37, 16? ____________
A.
Stem
1
2
3
Leaf
2 2 6 7
2 3 4 8
4 6 7
B. Stem
1
2
3
Leaf
2 4 6 7
2 3 4 8
4 6 7
C. Stem
1
2
3
Leaf
D. NOT HERE
2 4 6 7
2 3 5 8
4 6 8
Use the line plot below to answer the following questions.
8. How many students spend $4 on snacks?
a. 2
b. 3
c. 4
d. Not here
9. What was the total number of students to buy snacks?
a. 8
b. 1
c. 3
d. None of the above.
In 10 – 15, solve the following exercises using Order of Operations.
10. 15 + 6
(8-7)
a. 30
b. 40
18 + 3 x 5 =
(2 + 4)
a. 20
b. 19
c. 21
d. 41
11.
c. 18
d. 17
2
12. 13+ (10 – 4)3 =
a. 31
b. 21
c. 22
d. 32
80 – 16  (1+3) =
a. 16
b. 76
c. 74
d. Not here
13.
14.
5( 5+1 )  3 + 5 =
a. 15
b. 13.2
15. (21 – 15)2 - 20 =
a. 8
b. 16
c. 12
d. Not here
c. 26
d. Not here
In 16-17, name the inverse operation:
16. Dividing 4: __________________
a. adding 4
b. subtracting 4
17.
Adding 7: _________________
a. subtracting 7 b. adding 7
c. dividing 4
c. multiplying 7
d. multiplying 4
d. dividing 7
18. Write using exponents: 31 x 31 x 31 x 31 x 31 x 31. ______________
a. 316
b. 31 × 6
c. 186
d. 887,503,681
19. Write in standard form: 54 ____________________________
a. 5 × 5 × 5 × 5
b. 5 × 4
c. 625
d. Not here
20. Write an expression for the sum of 10 and a number N. ___________
a. 10 + N
b. N + 10
c. both a and b
d. none of the above
21. Which phrase best describes the algebraic expression K-3? ___________
a. 3 more than K b. K times 3 c. One third of K d. Difference of K and 3
In 22- 31 solve each equation.
22. V – 17 = 420
a. V = 430
b. V = 437
c. 403
d. Not here
23. W + 18 = 36
a. W = 18
b. W = 36
c. W = 42
d. Not here
3
24. 27= 3K
a. K = 27
25.
26.
b. K= 81
H = 20
5
a. H = 4
b. H = 100
c. K= 9
c. H = 25
d. Not here
d. Not here
26s = 806
a. S = 30
b. S= 31
27. 16 = W — 2
3
a. W= 54
c. S= 32
b. W = 45
d. S = 33
c. W = 24
d. Not here
28. 13u — 10 = 120
a. u = 10
29.
d. Not here
b. X = 452 c. X= 400
d. Not here
X – 21 = 431
a. X = 410
30.
b. u= 20 c. u = 30
4M + 8 = 232
a. M = 4
31. m + 7 = 12
4
a. M = 21
b. M= 8
b. M = 76
c. M = 56
c. M= 20
d. M = 65
d. Not here
In 32 – 34, solve by naming the correct property.
32. Name the following Property: 8 + 5 = 5+ 8
a. Associative
b. Commutative
c. Identity
d. Distributive
33. Name the following Property: 6 + (7+8) = (6+7) +8
a. Associative
b. Commutative
c. Identity
d. Distributive
34. Name the following property: 5(4 + 6) = 5(4) + 5(6)
a. Associative
b. Commutative
c. Identity
d. Distributive
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35. Give the prime factorization for: ………………………………….. 200
(Remember to do either the factor tree or table.)
a. 23 × 52
b. 22 × 53
c. 24 × 3 × 5
d. Not here
36. Give the Greatest Common Factor of 16 and 40.
a. 8
b. 9
c. 10 d. Not here
37. Give the Least Common Multiple of 12 and 6.
a. 24
b. 16
c. 6 d. 4
38. Which of the following represents a loss of $45.
a. 45
b. –45
c. 0.45 x -10
d. –45%
39. Which of the following represents a gain of 137 points?
a. 137 b. –137
c. 13.7 x 100
d. 137%
In 40 - 42, use the absolute value of a number.
40. What is the absolute value of – 86?
a. - |𝟖𝟔| b. 0
c. –86
d. 86
41. What is the absolute value of 172?
a. -|𝟏𝟕𝟐| b. 0 c. –172
d. 172
42. Which of the following is true?
a. –21 < -22
b. |−𝟐𝟏| >|−𝟐𝟐|
c. –21 <|−𝟐𝟐|
d. Not here
In 43 – 44, use integers to solve.
43. Which integer is the greatest?
a. –457
b. 458
c. –458
44. Which integer is the least?
a. –37
b. –98
c. –70
d. 459
d. 0
5
In the following exercises use the graph below.
45. In which quadrant is point A?
a. I
b. II
c. III
d. IV
46. In which quadrant is in point B?
a. I
b. II
c. III
d. IV
47. In which quadrant is point C?
a. I
b. II
c. III
d. IV
48. Which coordinates represent point D?
a. (5,0)
b. (-5, 2)
c. ( 2,-5)
d. Not here
49. Which coordinates represent point C?
a. (-6, -3)
b. (6, -3)
c. (3, -6)
d. Not here
c. Point C
d. Point D
50. Which point is at (4, 4)?
a. Point A
b. Point B
In 51 - 58, solve. (Remember the Integer rules.)
51. –56 + (-72) =
a. 16
b. 128
c. –128
d. -16
52. –32 + 14 =
a. 18
b. –46
c. 46
d. –18
b. 126
c. –110
d. –126
b. –4
c. –64
d. 4
53. 118 – (–8) =
a. 110
54. –16 x 4 =
a. 64
6
55. –10 x (-10) =
a. 0
b. –100
c. 100
d. 10
56. 360  (-12) =
a. 30
b. –30
c. –120
d. Not here
57. Use  or  to compare the following numbers: -425,000 ______ 452,000.
a. =
b. >
c. <
d. Not here
58. Order from least to greatest: -37, 377, -73, 773, -737: _______________
a. -37, -73, -377,737,773
b. –737,-73,-37,377,773
c. -773,737,-377,73,-37
d. 377, -737,-773,37,73
In 59 -60, solve.
59. Write in standard form: 109
a. 109 b. 1,000,000,000
c. 100,000,000
60. Which number is NOT a power or 10?
a. 10
b. 10,000
c. 25,000
d. Not here
d. 100,000,000
In 61 – 62, write each scientific notation in standard form.
61. 7.0 x 106
a. 700
b. 7,000,000
62. 5.96 x 104
a. 59.6
b. 596
c. 700,000,000
c. 5,960
d. Not here
d. 59,600
In 63 – 65, write each number in scientific notation.
63. 135,000,000
a. 13.5 x 108
64. 680,000
a. 68 x 10 x10 x 10
b. 135 x 108
b. 6.8 x 105
c. 1.35 x 108
d. Not here
c. 68 x 105
d. Not here
65. Which number is 30,000 in scientific notation? ______________
a. 30.000 x103
b. 3 x 104
c. 300.00 x 103
d. Not here
66. What is a very important rule when solving equations?
a. Help people in need.
b. Don’t bully others
c. Do to others as you would like them to do to you.
d. Whatever you do to one side of the equal sign, you must do to the other.
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In the following exercises, find the next three numbers in the arithmetic sequence:
67. 100, 90, 80, 70, _______, _______, _______
a. 65, 55, 45.
b. 60, 50, 40.
c. 60, 40, 20.
d. Not here.
68. 5, 10, 7, 12, 9, 14, 11, _____, ______, _______
a. 13, 16. 19.
b. 12, 13, 14.
c. 13, 12, 10.
d. 16, 13, 18.
69. 8, 10, 12, 14, _______, _______, _________.
a. 16, 14, 12.
b. 16, 18, 20.
c. 2, 4, 6.
d. Not here
In 70, convert the decimal to a fraction in lowest terms. Circle best answer.
70. 0.91
0.91
91
100
a.
b.
c.
d. Not Here
100
100
91
In 71, convert the decimal into a percent. Circle the correct answer.
71. 0.06
a. 0.06%
b. 60%
c. 6%
d. Not here
In 72 – 73, use the correct symbol to compare the fraction.
72.
73.
24 and 19
25
20
a. ‹
b. ›
c. =
d.Not here
4 and 18
5
20
a. ‹
b. ›
c. =
d. Not here
In 74- 75, circle the correct percent or decimal of each fraction.
74.
21
50
a. 0.40
75.
8
25
a. 0.32%
b. 0.42
c. 0.50
b. 25%
c.32%
d. Not here
d. Not here
8
In 76 -77, solve.
76. Which of the following is equal to 0.89?
89
a. 8.9
b. 89%
c.
d. Not here
10
77. Which of the following is equal to 0.005?
1
5
5
a.
b. 5%
c.
%
d.
2
100
1000
In 78 – 79, convert each percent as a fraction in simplest form.
(Circle the correct answer.)
78. 75%
a. 75
b. 3
c. 0.75
d. Not here
100
4
79.
30%
a. 30
100
b. 60
200
c. 3
10
In 80 - 81, Name the inverse operation:
80. Failing the Math midterm exam.
a. Getting a C on the Math midterm
c. Passing the Math midterm.
81. Adding 10 points extra credit
a. Subtracting 10 points extra credit
c. Dividing 10 points.
d. Not here
b. Failing the Math midterm
d. Not here
b. Multiplying 10 points extra credit
d. Not here
In 82, use the divisibility rules to check 4,350 for divisibility.
82. 4,350 is divisible by…
a. 2, 3, 5, 6, 10
b. 1, 2, 3, 4, 5, 6, 10
c. 2, 4, 5, 10.
d. Not here
In 83 – 85, answer the following word problems.
83. Antonia earns $6 per hour helping her grandmother. Write an equation
to find how many hours she needs to work to earn $ 48.
a. 48 = 6h
b. 6 = 48h
c. h = 6 ∙ 48
d. Not here
84. Light travels 300,000 kilometers per second. Write this number in
scientific notation.
a. 300 𝑥 103 b. 3.00 𝑥 106
c. 3 𝑥 10−6
d. 3 𝑥 105
85. Kimberly started the week with $6,000 in her bank account. Then she
spent $3,000 on an antique cabinet. Which integer represents the final
balance of the bank account?
a) 9,000
b) 2,000
c) 4,000
d) 3,000
Good Luck! Happy Holidays! Mrs. Bendek and Mrs. Esquivel
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