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Worksheets

6GT- Spiral Question Bank

Total questions: 139

Worksheet time: 7hrs 37mins

Name
Class
Date
1.

Which situation is best represented with a negative integer?

a)

68 degrees above zero

b)

A growth of 4 inches

c)

Earnings of $28

d)

78 feet below sea level

2.
What is the opposite of 12?
a)
12
b)
-12
c)
0
d)
1/12
3.
What is the opposite -5?
a)
5
b)
0
c)
-5
d)
10
4.
What is true about opposites?
a)
They are on the same side of zero
b)
They are the same distance away from zero.
c)
They are not really opposites
5.
The opposite of a negative is always a ___________
a)
positive
b)
negative
c)
absolute value
d)
inequality
6.
Evaluate the expression.
| 9 |
a)
0.9
b)
9
c)
-9
d)
90
7.
Evaluate the expression.
|–5| + 8
a)
3
b)
13
c)
-13
d)
-3
8.
What is absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number is from zero
d)
The multiplicative inverse of a number
9.
Evaluate the expression.
|-2| + |-5|
a)
7
b)
-7
c)
3
d)
-3
10.
The absolute value of |3| is -3.
a)
True
b)
False
11.
Which of the following is the LEAST?
a)
|-2|
b)
|-4|
c)
|3|
d)
|-5|
12.
Which is not an integer?  
a)
-5
b)
12
c)
0
d)
-1/2
13.
a)
-5 - 4 = -1
b)
-5 + 1 = -1
c)
-5 + 4 = -1
d)
5 + (-4) = 1
14.
Gretchen spends 1/2 an hour grooming Hobo and 1/3 of an hour riding Hobo. How much time did she spend with Hobo?
a)
⅖ hours
b)
⅚ hours
c)
⅔ hours
d)
⅜ hours
15.
Tina lives 2 ¼ miles from the library. Sonya lives 3 ½ miles from the library. How much further does Sonya live than Tina?
a)
1 ½ miles
b)
1 ¼ miles
c)
¾ miles
d)
⅔ miles
16.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
17.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
18.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
19.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
20.

x/3 = 9

a)

3

b)

36

c)

4

d)

27

21.

n - 18 = 3

a)

15

b)

21

c)

54

d)

22

22.

What type of number is 1 ?

a)

Prime

b)

Composite

c)

Both

d)

Neither

23.

Find the prime factorization of 18.

a)

2 • 32

b)

2 • 9

c)

22 • 3

d)

3 • 6

24.
A composite number ...
a)
has more than 2 factors.
b)
has one factor.
c)
has at least 10 factors.
d)
is always a really big number.
25.
If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?
a)
2⋅3⋅5⋅7
b)
2³⋅3²⋅5⋅7
c)
2²⋅3²⋅5⋅7
d)
8⋅9⋅35
26.
ORIGIN
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
27.
What is the ordered pair of point E?
a)
(2,5)
b)
(5,2)
c)
(-5,2)
d)
(5,-2)
28.
In the coordinate points (2,7) the 2 represents
a)
y
b)
origin
c)
x
d)
point
29.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
30.

What is coordinate R?

a)

(1,1)

b)

(2,3)

c)

(1,0)

d)

(0,1)

31.

Solve.

4(-2) + (-8)

32.

Solve.

-3(-4) - 6

33.

Solve

10 (5+3 )÷2310\ -\left(5+3\ \right)\div2^3  

(a)  

34.

Absolute value is always (a)   .

35.

Find the value of the expression and then select the right answer.

4 - (-16)

a)

Value > 20

b)

Value < 20

c)

Value = 20

36.

Find the value of the expression and then select the right answer.

5 x (-4)

a)

Value > 20

b)

Value < 20

c)

Value = 20

37.

2.4 x 10

38.

.16 x 100

39.
Convert to a decimal
           3/4
a)
.25
b)
.34
c)
.75
d)
3.4
40.

Is the following fraction closest to 0, ½, or 1 whole?


3/10

a)

Zero

b)

½

c)

1

41.

Is the following fraction closest to 0, ½, or 1 whole?


5/6

a)

0

b)

½

c)

1

42.

Is the following fraction closest to 0, ½, or 1 whole?


1/10

a)

0

b)

½

c)

1

43.

What is 1/2 as a decimal?

a)

.5

b)

.2

c)

5

d)

2

44.

What is 1/5 as a decimal?

a)

.20

b)

.50

c)

.333 repeating

d)

50

45.

What is .60 as a fraction in simplified form?

a)

3/5

b)

60

c)

3/10

d)

5/3

46.

Which fraction is equivalent to decimal .125?

a)

125%

b)

1/10

c)

1/25

d)

1/8

47.
What is the solution of the equation? 
8 = x + 1
a)
9
b)
7
c)
6
d)
8
48.
Solve the equation: 
x + 7 = 12
a)
x = 5
b)
x = 19
c)
x = 4
d)
x = 84
49.
Solve the equation:
4p = 16
a)
p = 12
b)
p = 64
c)
p = 3
d)
p = 4
50.
Solve the equation:
2w=58
a)
w = 29
b)
w = 32
c)
w = 15
d)
w = 116
51.
Solve the equation:
x/3 = 4
a)
x = 12
b)
x = 1
c)
x = 16
d)
x = 3
52.
Solve the equation:
5x = 25
a)
x = 20
b)
x = 125
c)
x = 4
d)
x = 5
53.
r + 12 = 25
a)
37
b)
13
c)
300
d)
Answer not Given
54.
Solve for x:
a)
20
b)
7
c)
10
d)
3
55.

Which choice models this situation? William needs to sell 25 Husky Cards for a fundraiser by Friday. So far, he has sold 9 cards. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

56.

Which choice models this situation?


Last week, James worked 35 hours in 5 days on the farm. He worked the same number of hours each day. How many hours did he work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

57.

Solve the following equation

2y = 18

a)

y = 36

b)

y = 16

c)

y = 9

d)

y = 20

58.
13 + y = 20
a)
y = 13
b)
y = 33
c)
y = 7
d)
y = 20/13
59.
n - 4 = 12
a)
n = 16
b)
n = 8
c)
n = 4/12
d)
n = 12/4
60.
x - 10 = 20
a)
x = 20/10
b)
x = 20
c)
x = 10
d)
x = 30
61.
5 n = 30
a)
n = 150
b)
n = 25
c)
n = 5
d)
n = 6
62.
6 y = 42
a)
y = 7
b)
y = 6
c)
y = 36
d)
y = 48
63.
y/3 = 8
a)
y = 3/8
b)
y = 8/3
c)
y = 24
d)
y = 83
64.
1/2 n = 10
a)
n = 10
b)
n = 5
c)
n = 20
d)
n = 12
65.
9+(2+4)=(9+2)+4
a)
Commutative Property of Addition
b)
Associative Property of Addition
c)
Additive Identity Property
d)
Distributive Property
66.
1*12=12
a)
Multiplicative Identity Property
b)
Commutative Property of Multiplication
c)
Multiplication Property of One
d)
Distributive Property
67.
5*0=0
a)
Distributive Property
b)
Multiplicative Inverse Property
c)
Multiplicative Property of Zero
d)
Commutative Property of Multiplication
68.
9+0=9
a)
Communtative Property of Addition
b)
Associative Property of Addition
c)
Additive Identity Property
d)
Additive Inverse Property
69.
6*7=7*6
a)
Associative Property of Multiplication
b)
Commutative Property of Multiplication
c)
Inverse Property of Multiplication
d)
Distributive Property
70.
What property allows this statement to be true? 
(A + B) + C = A + ( B + C)
a)
Associative
b)
Commutative
c)
Distributive
d)
Identity
71.
3(w + 4) = 3w + 12 is an example of...
a)
Inverse Property
b)
Distributive Property
c)
Multiplicative Inverse
d)
Associative Property
72.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
73.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
74.
4(p - 6)
a)
-4p - 24
b)
4p + 24
c)
4p + 24
d)
4p - 24
75.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
76.

Distribute.

12(x+12)\frac{1}{2}\left(x+12\right)

77.

Distribute.

13(12x+3)\frac{1}{3}\left(12x+3\right)

78.
12 - 4 x 2 = 
a)
16
b)
4
c)
8
d)
18
79.
(7 + 41) ÷ 2 – 15 =
a)
19
b)
9
c)
25
d)
3
80.
18 + (6 – 2) × 2 =
a)
26
b)
29
c)
44
d)
40
81.
What would be my first step? 3 + 4 x 6 - 4 =
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
82.
(9 + 23) ÷ (5 - 3) = 
a)
16
b)
32
c)
15
d)
12
83.

Which operation would you do first?

( 12 + 10) ÷ 10 x 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

84.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

85.

43+15÷34^3+15\div3  
What operation do you need to solve first?

a)

Addition

b)

Exponent

c)

Division

86.

252^5  What is the correct equation to solve this problem?

a)

2×52\times5  

b)

2×2×2×2×22\times2\times2\times2\times2  

87.

Solve:  2×33+10Solve:\ \ 2\times3^3+10  


a)

28

b)

54

c)

64

d)

16

88.

6292÷46^2-92\div4  
What is the order of operations for solving this problem?

a)

Subtract, Divide, Exponent

b)

Exponent, Subtract, Divide

c)

Exponent, Divide, Subtract

89.

Solve:  42+7×2Solve:\ \ 4^2+7\times2  

a)

46

b)

22

c)

13

d)

30

90.

Solve:  33÷9+2Solve:\ \ 3^3\div9+2  

a)

3

b)

20

c)

5

d)

11

91.
Find the quotient. 
-111 ÷ 3
a)
37
b)
-38
c)
-37
d)
-36
92.
Find the quotient.
-96 ÷ (-12)
a)
8
b)
-8
c)
9
d)
10
93.
Find the quotient.
132 ÷ (-12)
a)
-11
b)
11
c)
-12
d)
-13
94.

Find the product.

9 x (-14)

a)

-23

b)

-5

c)

-126

d)

126

95.
Find the product.
-13 × (-7)
a)
-91
b)
91
c)
71
d)
-20
96.
Find the product.
-15 × 7
a)
-22
b)
-75
c)
-105
d)
105
97.

Find the product.

-15 x (-6)

a)

-90

b)

60

c)

-21

d)

90

98.

Find the product.

19 x (-3)

a)

-57

b)

57

c)

-37

d)

-22

99.
Find the difference.
-72 - (-27)
a)
45
b)
-55
c)
-99
d)
-45
100.
Find the difference.
12 - 15
a)
3
b)
27
c)
-27
d)
-3
101.
Find the difference.
-8 - (-14)
a)
6
b)
-6
c)
-22
d)
22
102.
Find the difference.
24 - (-17)
a)
31
b)
7
c)
-41
d)
41
103.
Find the difference.
-11 - 16
a)
-5
b)
-27
c)
5
d)
27
104.
Find the sum.
-25 + (-28)
a)
-43
b)
-3
c)
53
d)
-53
105.
Find the sum.
-42 + 26
a)
-24
b)
-68
c)
16
d)
-16
106.

When ADDing two integers with the SAME SIGN...

a)

Add and keep the same sign.

b)

Add and change the sign.

c)

Subtract and keep the same sign.

d)

Subtract and change the sign.

107.

72÷12 =?-72\div12\ =?  

a)

8

b)

-8

c)

-6

d)

6

108.
Which expression is represented by the model?
a)
-1 + 6
b)
-3 x 2
c)
-2 x 3
d)
0 - (-6)
109.
5-19
a)
14
b)
24
c)
-14
d)
-24
110.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
111.

The temperature at 8am was -5 degrees but dropped 2 degrees by 10am. At noon, the temperature was 4 degrees warmer. What was the temperature at noon?

a)

-5 degrees

b)

-6 degrees

c)

3 degrees

d)

-3 degrees

112.

Yzabella went hiking. She started on a hill at 12 feet above sea level then descended 5 feet down a hill. She took a water break then climbed 8 feet then ended her hike by going down a hill 4 feet. How high was Yzabella when she finished her hike?

a)

11 feet

b)

12 feet

c)

17 feet

d)

7 feet

113.

Choose each expression that will give a negative solution

a)

-2 + 5

b)

-8 - (-12)

c)

82\frac{-8}{2}  

d)

(-3) + (-5)

e)

(-4)(-3)

114.

(4)(6)\left(-4\right)\left(-6\right)  

(a)  

115.

8 + (5)-8\ +\ \left(-5\right)  

(a)  

116.

153\frac{15}{-3}  

(a)  

117.

solve

2  (12)-2\ -\ \left(-12\right)  

(a)  

118.

Solve

10 (5+3 )÷2310\ -\left(5+3\ \right)\div2^3  

(a)  

119.

Find the quotient of -18 and -3

a)

-21

b)

-15

c)

6

d)

21

120.

The product of -8 and 4 is

a)

-4

b)

-12

c)

32

d)

-32

121.

Match the following

a)

product

1.

multiplication

b)

sum

2.

addition

c)

difference

3.

subtraction

d)

quotient

4.

division

122.

Ramon travels 20 miles in 20 minutes, how many miles can he travel in 120 minutes?

a)

120 miles

b)

200 miles

c)

10 miles

d)

40 miles

123.
Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
124.

The ratio of boys to girls is 3 to 2. If there are 12 boys, how many girls are there?

a)

2

b)

4

c)

6

d)

8

125.

Are these ratios equivalent?

3:4 and 6:12

a)

Yes

b)

No

126.

Complete the ratio table.

a)

6

b)

8

c)

9

d)

5

127.
Patrick has 2 black, 3 red, and 5   white toy cars. What is the ratio of red toy cars to all the toy cars? 
a)
3:5
b)
1:3
c)
3:11
d)
3:10
128.

Select ALL the ratios that are equivalent to 16 : 6

a)

3 to 8

b)

32 : 12

c)

4 to 2

d)

8 to 3

129.
What is the ratio of red circles to blue stars?
a)
3:4
b)
7/4
c)
11/4
d)
4 to 7
130.

Is this an example of an equivalent ratio?

a)

True

b)

False

131.
The keywords "at most" are used with which of the following symbols?
a)
b)
>
c)
<
d)
132.
The keywords "at least" are used with which of the following symbols?
a)
b)
c)
>
d)
<
133.
x - 7 ≥ 4
a)
x ≥ 11
b)
x ≥ -11
c)
x ≥ 3
d)
x ≥ -3
134.

When finding a UNIT RATE, you should __________ the top number by the bottom number.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

135.

6 movie tickets cost $30.00. What is the cost per ticket (unit rate)?

What will you do to find the unit rate?

a)

multiply by 6 to get $180 per ticket

b)

divide by 6 to get $5 per ticket

c)

multiply by 30 to get $900 per ticket

d)

divide by 30 to get $1 per ticket

136.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
137.
A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?
a)
16 customers per hour
b)
15 customers per hour
c)
12 customers per hour
d)
20 customers per hour
138.
You can buy 36 cookies for $4. What is the unit rate (in cookies per dollar)?
a)
4 cookies per dollar
b)
6 cookies per dollar
c)
9 cookies per dollar
d)
1/9 dollars per cookie
139.
If Kiontre reads 100 pages in 5 days, how many pages does he read in 1 day?
a)
10
b)
30
c)
20
d)
40