Sixth Grade Math
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Name _____________________________
Date ___________________
Grade 6
1.
Find the prime factorization of 56.
2.
Find the prime factorization of 88.
3.
What is the place value of the bold number?
537,262

4.
What is the place value of the bold number?
42,286,575

5.
What is the greatest common factor of 10 and 3?

6.
What is the greatest common factor of 32 and 24?

7.
What is the least common multiple of 12 and 10?

8.
What is the least common multiple of 12 and 30?

9.
Round 43,387 to the nearest thousands place.

10.
Round 85,574 to the nearest tens place.

11.
27
-  4


 
12.
7
+  3


 
13.
30 + 30 = ________

14.
(11 + 20) + 19 + 26 + 30 = ______

15.
Fill in with >, <, or =
16 + 6   _______   7 + 13
16.
Fill in with >, <, or =
11 + (14 + 16)   _______   10 + (4 + 18)
17.
27 - 9 = ________

18.
39,928
- 23,036
 
19.
973,275
- 490,343
 
20.
71,639
- 36,619
 
21.
2    ×    ______   =   12

22.
______    ×    8   =   96

23.
32 - (4 × 4)   =   ______

24.
6 × (9 × 8)   =   ______

25.
64,388
× 79
26.
6,896
× 89
27.
973
× 91
28.
2,949
× 35
29.

3      
295





30.

4      
11





31.

2      
392





32.

11      
10,395





33.
(132 × 10) + (48 ÷ 4)   =   ______

34.
(40 ÷ 8) + 16   =   ______

35.

709      
48,212


36.
295
-  98


 
37.
13 × 6 × 25

38.
(20 × 3) × 15

39.
17 - 4 × (18 ÷ 6)

40.
16 + 20 × 3 × 6

41.
23 × (10 + 8) × 10 + 21

42.
(23 × 3 - 6) + 3 × 22

43.
Fill in with >, <, or =
0.091655   _______   0.091678
44.
Fill in with >, <, or =
0.873   _______   87.3
45.
39.4
+ 2.8
46.
99.32
+ 98.22
47.
7.9
- 5.7
48.
3.7
- 2.1
49.
88.06 - 24 = ______

50.
57.08 - 49 = ______

51.
98.6705 × 1

52.
114164.3 × 1

53.
47.75
× 35.8
54.
21
× 24.03
55.
3.5
× 0.083
56.
0.3
× 0.08
57.
5404.7 ÷ 10

58.
4.6813 ÷ 1000

59.

9      
301.5





60.

4      
6.84





61.

6.4      
5,141.76





62.

4.22      
8.6932





63.
1 ft 129 in = 11 ft _______ in

64.
21 in = _______ ft 9 in

65.
2 lb 1 oz = _______ oz

66.
12 lb = _______ oz

67.
3 qt 2 pt = _______ cups

68.
2 pt = _______ cups

69.
712 days 240 hours = _______ days

70.
37 mins = _______ secs

71.
Fill in with >, <, or =
11 gal   _______   82 fl oz
72.
Fill in with >, <, or =
39 oz   _______   12 lb
73.
5 gal = _______ qt

74.
6 pt = _______ fl oz

75.
Coach asked Jane to take 56 cups of water to practice.   How many quarts should Jane take?

76.
Potato Pancakes takes 40 minutes to cook.  It requires two and one-eighth pounds of potatoes. How many ounces of potatoes are required?

77.
40 cm = _______ mm

78.
8 km 7,000 cm = _______ m

79.
22 cg 4 mg = _______ mg

80.
5,654 cg = 56 g _______ cg

81.
5,352 cl = _______ L 52 cl

82.
642 L 19 cl = _______ ml

83.
Fill in with >, <, or =
870 km   _______   841 m
84.
Fill in with >, <, or =
22 L   _______   373 cl
85.
 
17 ft2 in
+   5 ft4 in

22 ft _______ in
 
86.
 
2 pt15 fl oz
-   1 pt12 fl oz

1 pt _______ fl oz
 
87.
 
19 mi1310 ft
×   2

_______ mi2620 ft
 
88.
 
11 ft10 in
×   8

94 ft _______ in
 
89.
 
6 mi1668 ft
-   6 mi41 ft

_______ mi1627 ft
 
90.
 
10 hours18 mins
×   10

103 hours _______ mins
 
91.
120 mm = _______ cm

92.
6000 ml = _______ L

93.
1 kg = _______ g

94.
45 mg = _______ cg

95.
39
63		 =
96.
8
24		 =
97.
Fill in with >, <, or =
1
3
  _______  
11
17
98.
Fill in with >, <, or =
10
70
  _______  
8
14
99.
18
9		 =
100.
14
2		 =
101.
Write as a decimal:
18
25		 =
102.
Write as a decimal:
73
100		 =
103.
 
    1
2
4
-     
3
4
104.
 
    
1
8
+     9
7
8
105.
 
    
2
3
-     
6
11
106.
 
    
5
12
+     
4
16
107.
 
    5
7
14
-     3
2
5
108.
 
    7
2
3
-     
1
5
109.
Brad walked two-seventh of a mile from school before Mom arrived and drove Brad home.  In all, Brad walked and rode in the car 7 miles.   How many miles did Mom drive?

110.
An electric scooter uses 4/16 gallon of fuel each mile.   How much fuel will be used after traveling three miles?

111.
 
1
11
     ×     
1
5
112.
 
2
7
     ×     
7
9
113.
 
13
1
5
     ×     14
8
9
114.
 
7
5
8
     ×     
13
14
115.
 
10
12
     ÷     
4
11
116.
 
5
7
     ÷     
2
5
117.
 
13
1
9
     ÷     10
3
9
118.
 
2
3
     ÷     2
1
7
119.
Jill purchased a computer. Jill paid 1/4 of the $1300 price in cash and will pay the rest in five equal monthly payments.   How much will Jill pay each month?

120.
How much is two-fourths of one-third?

121.
The ratio of 28 yr to 112 yr
(Use a : to separate the two numbers and be sure to reduce to lowest terms)

122.
The ratio of 23 mins to 4 hours
(Use a : to separate the two numbers and be sure to reduce to lowest terms)

123.
51
90		   =
?
30
124.
?
40		   =
4
8
125.
50% of 84

126.
48% of 75

127.
The ratio of adult tickets to student tickets that was sold for the school play was 7 to 2.   If 42 adult tickets are sold, how many students tickets were sold?

128.
2 boxes of edHelper detergent will wash 40 loads of clothes.   How many boxes of detergent will wash 100 loads of clothes?

129.
Write as a percent:
0.2 = _____

130.
Write as a percent:
0.07 = _____

131.
2
5		 =
132.
6
10		 =
133.
50% of 88

134.
89% of 71

135.
A town, edTown, had a population of 50,000 ten years ago.  Since then, the population has increased 35%.   How many people currently live in edTown?

136.
A class of eighty voted for class president.  30% voted for Paul and 70% voted for Amy.   How many votes did the winner receive?

137.
7 units to the right of 11 on a number line

138.
The stock market went up 431 points today

139.
Write the opposite of:
42

140.
Write the opposite of:
8

141.
Fill in with >, <, or =
-53   _______   53
142.
Fill in with >, <, or =
-7   _______   -9
143.
| -4 |  =  

144.
| 2 |  =  

145.
-23 + 13  =  

146.
-22 + 13  =  

147.
6 - 7  =  

148.
-14 - 9  =  

149.
4 - (-9)  =  

150.
-17 + 6  =  

151.
-11 × -6  =  

152.
7 × -3  =  

153.
-72 ÷ -9  =  

154.
55 ÷ -5  =  

155.
-30 ÷ -10  =  

156.
-2 × -4  =  

157.
56 ÷ -8  =  

158.
-12 × 9  =  

159.
-5 × -6  =  

160.
You are given seventeen numbers to multiply together to find their product.  9 of the numbers are positive and the rest are negative.   Is the product a negative or a positive number?

161.
Jill started a web business. In January the business had a loss of $12,000.  Things improved a bit in February, but the business still had a loss of $9,000.   If the business made a profit of $104500 in March, what is the total income for the three months?

162.
258, 586, 428, 643, 12, 258, 740, 130, 183, 12, 567, 376, 642, 258, 567, 567, 586, 130, and 130

(Round to tenths)
What is the mean?
163.
13, 14, 3, 13, 7, 14, 13, 12, 11, and 12

(Round to tenths)
What is the median?
164.
13.2, 18.6, 12, -19, 14, 13.2, 14, 20, -21, and 26

(Round to tenths)
What is the mean?
165.
18, 3, 6, 3, 12, 23, 23, 6, and 9

(Round to tenths)
What is the mean?
166.
Evaluate this expression:
r × 12  =  
r = 6
167.
Evaluate this expression:
i - 9  =  
i = 79
168.
x + 90 = 138

169.
x + 83 = 173

170.
6650 = 70a

171.
3b = 24

172.
30 = a - 54

173.
n ÷ 34 = 1

174.
Solve.
(23 + d) × 17  =  476

 

Grade 6
Answer Key 0671471
1.   2,2,2,7    2.   2,2,2,11    3.   Ten|Thousands    4.   Millions   

5.   1    6.   8    7.   60    8.   60   

9.   43,000    10.   85,570    11.   23    12.   10   

13.   60    14.   106    15.   >    16.   >   

17.   18    18.   16892    19.   482932    20.   35020   

21.   6    22.   12    23.   32    24.   432   

25.   5,086,652    26.   613,744    27.   88,543    28.   103,215   

29.   98 R1    30.   2 R3    31.   196    32.   945   

33.   1332    34.   21    35.   68    36.   197   

37.   1950    38.   900    39.   5    40.   376   

41.   4161    42.   129    43.   <    44.   <   

45.   42.2    46.   197.54    47.   2.2    48.   1.6   

49.   64.06    50.   8.08    51.   98.6705    52.   114,164.3   

53.   1709.45    54.   504.63    55.   0.2905    56.   0.024   

57.   540.47    58.   0.0046813    59.   33.5    60.   1.71   

61.   803.4    62.   2.06    63.   9    64.   1   

65.   33    66.   192    67.   16    68.   4   

69.   722    70.   2220    71.   >    72.   <   

73.   20    74.   96    75.   14 qt    76.   34   

77.   400    78.   8070    79.   224    80.   54   

81.   53    82.   642190    83.   >    84.   >   

85.   6    86.   3    87.   38    88.   8   

89.   0    90.   0    91.   12    92.   6   

93.   1000    94.   4.5    95.   13/21    96.   1/3   

97.   <    98.   <    99.   2    100.   7   

101.   0.72    102.   0.73    103.   3/4    104.   10   

105.   4/33    106.   2/3    107.   2^1/10    108.   7^7/15   

109.   6 5/7 miles    110.   3/4    111.   1/55    112.   2/9   

113.   196^8/15    114.   7^9/112    115.   2^7/24    116.   1^11/14   

117.   1^25/93    118.   14/45    119.   $195    120.   1/6   

121.   1:4    122.   23:240    123.   17    124.   20   

125.   42    126.   36    127.   12 student tickets    128.   5 boxes   

129.   20%    130.   7%    131.   40%    132.   60%   

133.   44    134.   63.19    135.   67500 people    136.   56 votes   

137.   18    138.   431    139.   -42    140.   -8   

141.   <    142.   >    143.   4    144.   2   

145.   -10    146.   -9    147.   -1    148.   -23   

149.   13    150.   -11    151.   66    152.   -21   

153.   8    154.   -11    155.   3    156.   8   

157.   -7    158.   -108    159.   30    160.   positive   

161.   $83,500    162.   372.3    163.   12.5    164.   9.1   

165.   11.4    166.   72    167.   70    168.   48   

169.   90    170.   95    171.   8    172.   84   

173.   34    174.   5