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Worksheets

6th Grade Math Spiral

Total questions: 142

Worksheet time: 7hrs 50mins

Name
Class
Date
1.

Rewrite the expression below using the distributive Property.


3 (2 + 4 )

a)

3 x 2 + 4

b)

3 x 2 + 3 x 4

c)

3 + 2 x 4

2.

Rewrite the expression below using the Distributive Property.


6 (10 + 5)

a)

6 + 10 + 5

b)

6 x 10 + 5

c)

6 x 10 + 6 x 5

3.

Is 13 a prime or composite number?

a)

Prime

b)

Composite

4.

Is 9 a prime or composite number?

a)

Composite

b)

Prime

5.

Is 24 a prime or composite number?

a)

Prime

b)

Composite

6.

Select the Prime Factorization of 21 below.

a)

7 + 7 + 7

b)

3 + 7

c)

3 x 7

d)

21 is Prime

7.

Select the prime factorization of 30 below.

a)

10 x 3

b)

2 x 3 x 5

c)

2 + 3 + 5

d)

6 x 5

8.

Name the closest benchmark to the fraction 4/9.

a)

0

b)

1/2

c)

1

9.

Name the closest benchmark to the fraction 8/9.

a)

0

b)

1/2

c)

1

10.

Name the closest benchmark to the fraction 6/100.

a)

0

b)

1/2

c)

1

11.

Write the unknown denominator or numerator so that each fraction is close to but less than 1/2.


_/12

a)

1

b)

6

c)

5

d)

7

12.

Write the unknown denominator or numerator so that each fraction is close to but less than 1/2.


_/27

a)

13

b)

14

c)

26

d)

2

13.

Write the unknown denominator or numerator so that each fraction is close to but less than 1.


_/17

a)

10

b)

16

c)

5

d)

17

14.

Write the unknown denominator or numerator so that each fraction is close to but less than 1.


13/_

a)

13

b)

12

c)

14

d)

8

15.

Determine if the statement is always, sometimes, or never true.


If a fraction between 0 and 1 is multiplied by another fraction between 0 and 1, the product will be less than one.

a)

always

b)

sometimes

c)

never

16.

Determine if the statement is always, sometimes, or never true.


If a fraction between 0 and 1 is multiplied by a mixed number, the product will be greater than 1.

a)

always

b)

sometimes

c)

never

17.

Select the product of 1/2 and 1/4 below.

a)

1/6

b)

1/8

c)

2/6

d)

1/4

18.

2/3 x 3/5

a)

12/17

b)

5/8

c)

6/15

d)

3/17

19.
7.13 x 5.5 
a)
39.215
b)
3.9215
c)
392.15
d)
3921.5
20.
5.78 x 3.5
a)
0.223
b)
2.23
c)
22.3
d)
20.23
21.
3.5 x 4.92
a)
17.32
b)
17.22
c)
1.72
d)
0.1722
22.
36.8 ÷ 2
a)
18.4
b)
184
c)
18.04
d)
1.84
23.
3.3 ÷ 0.3
a)
.99
b)
1.1
c)
11
d)
9.9
24.

Oliver bought 7 bags of candy. Each bag costs $1.50. How much money did he have to pay?

a)

$7.50

b)

$8.50

c)

$10.50

d)

$105.00

25.
1.875 ÷ 5 =
a)
.375
b)
3.75
c)
32.5
d)
37.5
26.

56.9 x 3.1

a)

1763.9

b)

545

c)

176.39

d)

20

27.
What is the area of this figure?
a)
40 square units
b)
40 units
c)
40
28.
Maura drew a square. Each side measures 6 cm. What is the area of the square?
a)
24 sq cm
b)
36 sq cm
c)
42 sq cm
d)
48 sq cm
29.

Area of triangle?

a)

17 units2

b)

20 units2

c)

10 units2

d)

16 units2

30.
What is the area?
a)
12 cm2
b)
14
c)
14 cm2
d)
24 cm2
31.
Find the area of this triangle.
a)
240 ft2
b)
56 ft2
c)
66 ft2
d)
120 ft2
32.
a)
50 square inches
b)
100 square inches
c)
200 square inches
d)
25 square inches
33.
Find the area:
a)
13 in2
b)
20 in2
c)
26 in2
d)
40 in2
34.
Find the area of the figure
a)
26 ft2
b)
20 ft2
c)
52 ft2
d)
40 ft2
35.
Find the Area.
a)
91 ft2
b)
77 ft2
c)
78 ft2
d)
105 ft2
36.
A parallelogram has base is 35cm and it's area is 700cm2. What is it's height?
a)
20 cm
b)
24,500 cm
c)
0.05 cm
d)
2 cm
37.
Calculate the Volume
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
38.
Find the volume
a)
1120 ft2
b)
2011 ft2
c)
120 ft3
d)
1120 ft3
39.
B represents...
a)
Area of Base
b)
Base
c)
Bottom
d)
Area of Bridge
40.
a)
45mm2
b)
45mm3
c)
3,375mm3
d)
3,375mm2
41.
What is the volume of this prism?
a)
16 cubic cm
b)
36 cubic cm
c)
144 cubic cm
42.
What is the volume of this prism?
a)
24 cubic cm
b)
240 cubic cm
c)
60 cubic cm
43.
Simplify the ratio of
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
44.

What is the ratio of red apples to green apples

a)

7 to 3

b)

4 to 7

c)

4 to 3

d)

3 to 4

45.
What is a Ratio?
a)
Is a comparison of two quantities 
b)
A rate with a denominator of one
c)
It is when the only factor the numerator and denominator share is a one 
d)
Two decimals that can be multiplied
46.

A baseball team has 16 girls and 8 boys. What is the ratio of total players to boys? (in simplest form)

a)

24/11

b)

24/16

c)

3/1

d)

16/9

47.
Kelly has 10 apps on her iPad. 5 are school apps, 2 are music apps, and 3 are games. What is the ratio of school apps to game apps?
a)
5 to 2
b)
3 to 5
c)
5 to 10
d)
5 to 3
48.

Which ratios are equivalent to 1 : 3? Select all that apply (2).

a)

10 : 30

b)

6 : 18

c)

5 : 20

d)

2 : 9

49.

Are these ratios equivalent to each other?

a)

Yes

b)

No

50.

Use the shapes in the picture to write the ratio of STARS to SQUARES.

a)

3 to 2

b)

2 to 4

c)

4 to 2

d)

3 to 4

51.

The local Rec League orders 8 soccer balls for every 12 students. The table shows how many soccer balls the league orders for a certain numbers of students. How many soccer balls do you predict the league would order for 48 students?

a)

36

b)

40

c)

32

d)

16

52.

Find one equivalent ratio for 15 : 30

a)

7 : 15

b)

5 : 10

c)

3 : 5

d)

5 : 3

53.

How can we find equivalent ratios? ( choose 2 answers )

a)

Adding

b)

Dividing

c)

Subtracting

d)

Multiplying

54.

Are these ratios equivalent?

 23\frac{2}{3}  and  89\frac{8}{9}  

a)

yes

b)

no

55.
Hilbert burns 120 calories per 30 minutes of weight training.  Complete the table to chart his calorie expenditure for different amounts of time. What is the value of a?
a)
a= 80
b)
a= 6
c)
a= 60
d)
a= 120
56.

There is a ratio of 5 boys to 11 girls in our class. What is the total number of students if there are 6 boys?

a)

26

b)

18

c)

11

57.

What does the math word "of "mean? For example what is 1/6 of 12.

a)

Divide

b)

Add

c)

Multiply

d)

Subtract

58.
Which of the following shows the least expensive unit price? 
a)
3 oranges for $1.02
b)
4 oranges for $1.52 
c)
5 oranges for $1.75
d)
6 oranges for $2.46
59.
Which represents the relationship of oranges to fruit?
a)
2:6
b)
2:4
c)
4:6
d)
4:2
60.
Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?
a)
$12
b)
$1.50
c)
$3
d)
$1
61.
a)
3
b)
5.3
c)
1.08
d)
27
62.
Solve for A in the table.
a)
A= 40
b)
A= 10
c)
A= 9
d)
A= 45
63.
Solve for B in the table.
a)
B= 40
b)
B= 10
c)
B= 9
d)
B= 45
64.
What is the missing number in the ratio table?
a)
21
b)
24
c)
27
d)
25
65.

Find the missing number for the ratio table.

(a)  

66.

Find the missing number for the ratio table.

(a)  

67.

Find the missing number for B on the ratio table.

(a)  

68.

Find the missing number for A on the ratio table.

(a)  

69.

Find the missing number for B the ratio table.

(a)  

70.



(a)  

71.

What 3 ways can you write a ratio?

a)

1 to 41\ to\ 4 Using the word "to"

b)

1:41:4 Colon

c)

fraction 14\frac{1}{4}

d)

1 41\ -\ 4 Dash

72.

A ratio is the comparison of 2 quantities by:

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

73.

Ratio Tables are Equivalent Ratios?

a)

True

b)

False

74.

What is the missing number for the following equivalent fractions?

 35  = 9?\frac{3}{5\ }\ =\ \frac{9}{?}  



(a)  

75.

What is the missing number for the following equivalent fractions?

 1? = 550\frac{1}{?}\ =\ \frac{5}{50}  



(a)  

76.

Which fraction is equivalent to 1?

a)

1/2

b)

1/10

c)

5/5

d)

5/1

77.
Which statement matches the graph?
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
78.

What is the ratio of cats to dogs in the table shown in simplest form?

a)

10:12

b)

2:3

c)

1:4

d)

5:6

79.

If there were 21 cars, how many trucks would there be?

a)

28

b)

32

c)

36

d)

24

80.

What is the ratio of the line graph shown?

a)

4:1

b)

2:1

c)

3:2

d)

8:1

81.

Which of the following statements can be used to create the graph shown?

a)

For every 5 hours of work you get $6

b)

For every 24 hours of work you get $10

c)

For every 36 hours of work you get $50

d)

For every 6 hours of work you get $5

82.

Using the graph given, how much money would be given at 6 hours?

a)

$12

b)

$8

c)

$16

d)

$4

83.

Using the given table, how many cars would there be for 48 trucks?

a)

18

b)

30

c)

3

d)

24

84.

Which of the following tables use a 1:2 ratio?

a)
b)
c)
d)
85.

What is the ratio of sharks to fish?

a)

2 to 10

b)

2 to 8

c)

8 to 2

86.

What is ratio of blue to orange

a)

3/2

b)

3/5

c)

2/3

87.

What is the ratio of circles to triangles?

a)

2 to 4

b)

3 to 4

c)

1 to 3

88.
The __ - axis is vertical in the coordinate plane.
a)
X
b)
Y
c)
Z
d)
None of the above
89.
The __ - axis is the horizontal axis of the coordinate plane.  
a)
X
b)
Y
c)
Z
d)
None of the above
90.
What number represents the base?
a)
6cm
b)
2cm
91.
Which number represents the height?
a)
12
b)
13
c)
15
d)
14
92.
Which number represents the height?
a)
10
b)
2
93.
Which number represents the height?
a)
5
b)
4
c)
10
94.
Which number represents the base?
a)
5
b)
4
c)
10
95.
Which numbers represent the bases?
a)
6 and 9
b)
4 and 6
c)
9 and 4
96.
Which number represents the height?
a)
3
b)
2
c)
6
97.
Which numbers represent the bases?
a)
4 and 5
b)
4 and 8
c)
5 and 8
98.
Which number represents the base?
a)
12
b)
11
c)
99.
Which numbers do we not need?
a)
10 and 10
b)
12 and 10
c)
12 and 8 
100.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
101.
What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?
a)
32
b)
39
c)
45
d)
54
102.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
103.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
104.
Find the measure of each angle indicated.
a)
62
b)
53
c)
71
d)
50
105.
Find the measure of each angle indicated.
a)
50
b)
20
c)
29
d)
48
106.
Find the measure of each angle indicated.
a)
50
b)
55
c)
60
d)
70
107.

Will the following three angles for a triangle?

30°, 60°, 90°

a)

yes

b)

no

108.

A triangle has one angle that measure 45° and one that measures 60°. What is the measure of the third angle?

a)

135°

b)

75°

c)

120°

d)

105°

109.
What type of angle is shown?
a)
a 90 degree angle
b)
a 180 degree angle
c)
an acute degree angle
d)
an obtuse angle
110.

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

a)

4, 4, 4

b)

5, 5, 10

c)

3, 6, 9

d)

5, 7, 11

e)

13, 5, 6

111.

Will these three sides form a triangle?

a)

yes

b)

no

112.

Will these line segments form a triangle?

a)

yes

b)

no

113.

Which set of side lengths will form a triangle?

a)

3, 6, 12

b)

7, 7, 14

c)

9, 9, 9

d)

13, 6, 7

114.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft
a)
more than 6 but less than 20
b)
more than 20 but less than 6
c)
less than 6 but more than 20
115.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm
a)
more than 3 but less than 11
b)
more than 11 but less than 3
c)
less than 3 but more than 11
116.

Will these side lengths form a triangle?

a)

yes

b)

no

117.
Determine if it is possible to form a triangle with the given side lengths. 15 in., 12 in., 2 in.
a)
yes
b)
no
118.
Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd
a)
yes
b)
no
119.

What is 50% of 120?

a)

60

b)

6

c)

600

d)

6000

120.

What is 16% of 50?

a)

8

b)

80

c)

800

d)

8000

121.

What is 55% of 900?

a)

49

b)

495

c)

4950

d)

.495

122.

What is 6% of 200?

a)

.12

b)

12.4

c)

120

d)

12

123.

What % of 18 is 27?

a)

66%

b)

6%

c)

66.6%

d)

.6%

124.
What % of 8 is 6
a)
75%
b)
.75%
c)
750%
d)
7%
125.

What percent of 120 is 225?

a)

187%

b)

1875%

c)

187.5%

d)

12%

126.
15% of what number is 60?
a)
40
b)
400
c)
4
d)
4000
127.
What percent of 50 is 11?
a)
22
b)
2
c)
220
d)
12
128.
4% of 625 is what number?
a)
250
b)
25
c)
2
d)
2500
129.

95% of what number is 19?

a)

20

b)

95

c)

63

d)

19

130.

What number is 70% of 45?

a)

35

b)

31.5

c)

70

d)

40

131.

45 is what percent of 90?

a)

50%

b)

20%

c)

60%

d)

55%

132.

15 is 25% of what number?

a)

25

b)

63

c)

60

d)

50

133.

24 is what percent of 60?

a)

40%

b)

20%

c)

65%

d)

NOT HERE

134.

A baseball pitcher won 80% of the games he pitched. If he pitched 35 ballgames, how many games did he win?

a)

28 games

b)

50 games

c)

35 games

d)

30 games

135.

The Royals softball team played 75 games and won 55 of

them. What percent of the games did they lose? (round to

the nearest tenth)

a)

70%

b)

60%

c)

73.3%

d)

75.3%

136.

Madelyn made 45% of her shots at a basketball game. If she attempted 20 shots, how many did she actually make?

a)

9

b)

10

c)

0.9

d)

90

137.
On a 50 question test, Danielle answered 78% of the questions correctly. How many questions did she get wrong?
a)
39
b)
11
c)
28
d)
78
138.
75% of students in Grace's class are 60 inches or taller. If there are 20 students in the class, how many are 60 inches or taller?
a)
15
b)
5
c)
7
d)
12
139.
Sarah earns $20 a day working after school. She spent 30% of her daily earnings on Monday. How much money did she spend on Monday?
a)
$1.40
b)
$6
c)
$0.60
d)
$14
140.
 Shirley spelled 12 of her 15 spelling words correctly on the test.  What percent grade did Shirley get on the test?
a)
40%
b)
50%
c)
80%
d)
60%
141.
Eric earned 60 points on his last test. If there were 75 possible points, what was his percent grade?
a)
20%
b)
40%
c)
60%
d)
80%
142.

If a shirt is on sale for $9 because it was 75% off, then what was the original price of the shirt?

a)

$12

b)

$67

c)

$675

d)

$3