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Worksheets

Question Bank for Grade 6 Mathematics

Total questions: 164

Worksheet time: 6hrs 50mins

Name
Class
Date
1.

Find the area of the parallelogram. (a)  

Choose from the below words
12 units2
10 units2
13 units2
6 units
2.

The base and height of a parallelogram must be (a)  

Choose from the below words
opposite
perpendicular (at a right angle)
parallel (at a wrong angle)
a dashed line
3.
a)
2 in2
b)
32 m2
c)
32 in
d)
32 in2
4.

What is the area of the parallelogram?

a)

63 cm2

b)

72 cm2

c)

56 cm2

5.
What is the area of this shape?
a)
6 m2
b)
12 m2
c)
3 m2
d)
2.666 m2
6.
Find the area:
a)
13 in2
b)
20 in2
c)
26 in2
d)
40 in2
7.

What is the area?

a)

28 square units

b)

35 square units

c)

14 square units

d)

35 square units

8.
What is he area of this parallelogram?
a)
90 in2
b)
150 in2
c)
135 in2
d)
145 in2
9.
Find the area. 
a)
88 inches2
b)
60 inches
c)
88 inches 
d)
60 inches2
10.
What is the area formula for parallelograms?
a)
A = b + h
b)
A = 2bh
c)
A = bh
d)
A = b - h
11.
What is the area of the rectangle?
a)
15 sq cm
b)
15 cm
c)
d)
16 cm
12.
What is the area of this figure?
a)
40 square units
b)
40 units
c)
40
13.
a)
40 in2
b)
40
c)
40 in
d)
4 in2
14.

Which of these numbers is the height?

a)

10

b)

5

c)

4

15.

Find the area of the parallelogram.

a)

56cm2

b)

28cm2

c)

32cm2

d)

16cm

16.

6x2+8+y6x^2+8+y  

What are the terms of the expression?

a)

6, x2, 8, y6,\ x^2,\ 8,\ y

b)

8

c)

6x2,8,y6x^2,8,y

d)

6,2,8

17.

6x2+8+y6x^2+8+y  

What is the vocabulary word for the number 8?

a)

variable

b)

constant

c)

coefficient

18.

6x2+8+y6x^2+8+y  

What are the coefficients for this algebraic expression?

a)

6

b)

6,2,1

c)

8

d)

6,8

e)

6,1

19.

Match the following

a)

numerical expression

1.

2+7

b)

algebraic expression

2.

3x+7

c)

algebraic equation

3.

2y+3=10

d)

numerical equation

4.

4+5=9

20.

Tell which property is being illustrated.

(5+y)+8=8+(5+y)\left(5+y\right)+8=8+\left(5+y\right)

a)

commutative property of addition 

b)

associative property of addition 

c)

distributive property 

d)

addition property of zero 

21.

Evaluate 5x2+125x^2+12  when x=4.

(a)  

22.

Simplify the expression.

4+(5+3x)4+\left(5+3x\right)  

a)

9+3x

b)

12x

c)

20+12x

d)

32x

23.

Simplify the expression.

12(3y)12\left(3y\right)  

a)

36y

b)

36+y

c)

15y

d)

48y

24.

Simplify the expression.

7(2x+3)+4x7\left(2x+3\right)+4x  

a)

18x+21

b)

18x+3

c)

6x+21

d)

6x+10

25.

Simplify the expression.

8x+15+2x+118x+15+2x+11  

a)

10x+26

b)

36x

c)

36+x

d)

26+8x+2x

26.

Simplify the expression by using the distributive property.

9(3x+2)9\left(3x+2\right)  

a)

27x+18

b)

27x+2

c)

11+3x

d)

18+3x

27.

Factor the expression using the GCF.

15y+6015y+60  

a)

75y

b)

3(5x+20)

c)

5(3y+12)

d)

15(y+4)

28.

A hairdresser receives a discount on each comb purchased. The original price of each comb is x dollars. The hairdresser purchases 20 combs for a total of (20d-80) dollars. By how much is each comb discounted?

a)

$20

b)

$80

c)

$4

d)

$40

29.

Factor the expression using the GCF.

28+21x 

a)

49x

b)

3(9+7x)

c)

1(28+21x)

d)

7(4+3x)

30.

What property is shown?

3+4+5=4+3+5

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Identity Property of Addition

d)

Distributive Property

31.
Name the property showed by the following statement.
(3 x 3)5 = 5(3 x 3)
a)

Commutative Property of multiplication

b)

Associative Property of multiplication

c)

Distributive Property

d)

Multiplication Property of One (Identity)

32.
Name the property showed by the following statement.
4 x 1 = 4
a)

Commutative Property of multiplication

b)

Associative Property of multiplication

c)

Distributive Property

d)

Multiplication Property of One (Identity)

33.
Name the property showed by the following statement.
4 x 5 = 5 x 4
a)

Commutative Property of multiplication

b)

Associative Property of multiplication

c)

Distributive Property

d)

Addition Property of Zero (Identity)

34.
Name the property showed by the following statement.
(7 + c) + 0 = 7 + c
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
d)
Addition Property of Zero (Identity)
35.
Name the property showed by the following statement.
a(bc) = (ab)c
a)

Commutative Property of multiplication

b)

Associative Property of multiplication

c)

Distributive Property

d)

Multiplication Property of One (Identity)

36.
Name the property showed by the following statement.
2a(1) = 2a
a)

Commutative Property of multiplication

b)

Associative Property of multiplication

c)

Distributive Property

d)

Multiplication Property of One (Identity)

37.

Name the property showed by the following statement. 3a=a33\cdot a=a\cdot3

a)

Commutative Property of multiplication

b)

Associative Property of multiplication

c)

Distributive Property

d)

Addition Property of Zero (Identity)

38.
Name the property showed by the following statement.
9 + (2 + 1) = (9 + 2) + 1
a)

Commutative Property of addition

b)

Associative Property of addition

c)

Distributive Property

d)

Addition Property of One (Identity)

39.

Which property is used in the following expression?


(4 + 2) + 6 = 4 + (2 + 6)

a)

Commutative property of addition

b)

Associative property of addition

c)

Identity property

d)

None of the options

40.

Fill in the blank for the expression to be correct.


(890 + 65) +87 = 890 + ( (a)   + 87)

41.
Which answer shows the commutative property of addition?
a)
6+9+5 = 9+6+5
b)
(6+9)+5 = 6+(9+5)
c)
6+0 = 6
42.
The _______________ property of addition states that any number plus zero equals the other number.
a)
identity
b)
commutative
c)
associative
d)
Inverse
43.
Rewrite (9 x 6) x 5 using the associative property.
a)
270
b)
9 x 30
c)
9 x (6 x 5)
d)
5 x 9 + 5 x 6
44.

4 + 9 = 9 + 4

a)

Addition Property of Zero

b)

Associative Property of Addition

c)

Associative Property of Multiplication

d)

Commutative Property of Addition

45.

(6 + 2) + 8 = 6 + (2 + 8)

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Associative Property of Addition

d)

Associative Property of Multiplication

46.

27 + 0 = 27

a)

Multiplication Property of Zero

b)

Multiplication Property of One

c)

Addition Property of Zero

d)

Associative Property of Addition

47.

36 x 1 = 36

a)

Multiplication Property of One

b)

Commutative Property of Multiplication

c)

Associative Property of Multiplication

d)

Multiplication Property of Zero

48.

(9 x 8) x 15 = 9 x (8 x 15)

a)

Associative Property of Addition

b)

Commutative Property of Addition

c)

Commutative Property of Multiplication

d)

Associative Property of Multiplication

49.

17 x 33 = 33 x 17

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Associative Property of Addition

d)

Associative Property of Multiplication

50.

(2 x 7) x 4 = 2 x (7 x 4)

a)

Multiplication Property of Zero

b)

Commutative Property of Multiplication

c)

Associative Property of Multiplication

d)

Addition Property of Zero

51.

(5 + 3) + 9 = 5 + (3 + 9)

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Addition Property of Zero

d)

Multiplication Property of One

52.

4 + (6 + 3) = (4 + 6) + 3

a)

Associative Property of Multiplication

b)

Commutative Property of Addition

c)

Distributive Property

d)

Associative Property of Addition

53.

48 x 0 = 0

a)

Multiplication Property of One

b)

Addition Property of Zero

c)

Multiplication Property of Zero

d)

Distributive Property

54.

51 x 30 = 30 x 51

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Multiplication Property of Zero

d)

Associative Property of Multiplication

55.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
56.

Find the total surface area of the figure shown.

a)

672 cm2

b)

480 cm2

c)

576 cm2

d)

864 cm2

57.

What is the surface area of this prism?

a)

503 cm2

b)

461.5 cm2

c)

223 cm2

d)

520 cm2

58.
a)

178 mm2

b)

160 mm2

c)

188 mm2

d)

168 mm2

59.
b2 + 4
when b = 3
a)

10

b)

12

c)

13

d)

11

60.

Match the terms, coefficients, constants, and variables.

2y2+17+x2y^2+17+x

a)

2y2,17,x2y^2,17,x

1.

Terms

b)

2,1

2.

Coefficients

c)

17

3.

Constants

d)

y,x

4.

Variables

61.
6a - 3d
when a = 1, d = 2
a)

3

b)

12

c)

1

d)

0

62.
Evaluate when x = 8:
2x + x - 10
a)

34

b)

22

c)

14

d)

24

63.
Evaluate the expression when x = 8:  
7(6 + 3 − x)
a)
72
b)
56
c)
21
d)
7
64.

Evaluate 4y+2  if       y = 3

a)

7

b)

12

c)

45

d)

14

65.
Evaluate m² if      m = 5
a)
10
b)
25
66.

Identify the coefficients in this expression. 4 + 3x + 5x

a)

3x, 5x

b)

4, 3x, 5x

c)

3, 5

d)

x

67.
A number on its own that does not change and is without a variable is known as a _______________.
a)
Term
b)
Variable
c)
Coefficient
d)
Constant
68.
Which expression contains exactly 3 terms?
a)
5 + 6xy
b)
9 + 4t
c)
8 + 2y - 5x
d)
24xy
69.
4 is the __________ of 4n.
a)

term

b)

variable

c)

coefficient

d)

constant

70.

10 is the ______ in the expression 10 + 2y

a)

constant

b)

coefficient

c)

variable

71.

Identify the constant in the expression.

2y + x + 8 + 7p

a)

7

b)

2

c)

1

d)

8

72.

Identify the coefficient in the expression.

6y + 7

a)

6y

b)

7

c)

6

d)

1

73.

Identify the Variable in the expression 5y+7?

a)

5y

b)

y

c)

7

74.

How many terms are in the algebraic expression?

2y + x + 4 + y2

a)

4

b)

3

c)

5

d)

2

75.

In the expression 3p + 4, what is the word for the number 3?

a)

term

b)

coefficient

c)

constant

76.

How many terms does this expression have?


6a + 4b - 7

a)

1

b)

2

c)

3

d)

4

77.

In the expression 3p + 4, what is the word for the letter p?

a)

term

b)

coefficient

c)

product

d)

variable

78.

In the expression 3p + 4, what parts of the expression are 3p and 4?

a)

terms

b)

coefficient

c)

constant

d)

variable

79.

What is the constant in the expression 10-4x?

a)

10

b)

4x

c)

4

d)

-4x

80.

Which of these numbers is the height?

a)

10

b)

5

c)

4

81.

What is the area of the parallelogram above?

a)

13 cm2

b)

28.5 cm2

c)

45.6 cm2

d)

40 cm2

82.

What is the area?

a)

28 square units

b)

35 square units

c)

14 square units

d)

20 square units

83.

What is the area of the parallelogram?

a)

63 cm2

b)

72 cm2

c)

56 cm2

84.

What is the area of triangle?

a)

32 units2

b)

20 units2

c)

10 units2

d)

16 units2

85.
a)
16 square inches
b)
12 square inches
c)
24 square inches
d)
48 square inches
86.
Find the area:
a)
40 yd
b)
40 yd2
c)
80 yd2
d)
18 yd2
87.

Find the area of the triangle

a)

22.5 cm2

b)

45 cm2

c)

15.75 cm2

d)

31.5 cm2

88.
Find the area of the figure shown.
a)
34 units2
b)
960 units2
c)
220 units2
d)
480 units2
89.

Find the area of the figure.

a)

12,800 square meters

b)

9,000 square meters

c)

1,200 square meters

d)

4,000 square meters

90.

Change 45% to a Decimal.

a)

0.45

b)

4.5

c)

45

d)

0.045

91.

Change 0.023 to a Percent.

a)

23%

b)

0.23%

c)

2.3%

d)

230%

92.

Change 4/5 to a Percent.

a)

45%

b)

4.5%

c)

8%

d)

80%

93.

Which one is NOT equivalent to 80%?

a)

80/100

b)

8/10

c)

4/5

d)

4/8

94.

Change 3/8 to a Percent.

a)

0.375%

b)

37.5%

c)

38%

d)

3.8%

95.
Write the percent as a decimal:
217%
a)

0.0217

b)

0.217

c)

2.17

d)

21.7

96.
What is 30% of 50?
a)
16
b)
16.3
c)
17.4
d)
15
97.

Which of these is in order from least to greatest? 

12%,0.1, 425\frac{4}{25}   

a)

12%,0.1, 425\frac{4}{25}

b)

0.1,12%, 425\frac{4}{25}  

c)

425\frac{4}{25}  ,12%,0.1

d)

425\frac{4}{25}  ,0.1,12%

98.

Which of these is in order from least to greatest? 

1.35,125%, 65\frac{6}{5}   ,1.5, 130%

a)

1.35,125%, 65\frac{6}{5}   ,1.5, 130%

b)

65\frac{6}{5}  ,125%,130%,1.35,1.5

c)

130%,1.5,1.35,125%,

d)

65\frac{6}{5}  ,1.5,130%,125%,1.35

99.

Order the numbers from least to greatest.

87200,0.44,43.7%,2150\frac{87}{200},0.44,43.7\%,\frac{21}{50}

a)

87200,2150,0.44,43.7%\frac{87}{200},\frac{21}{50},0.44,43.7\%

b)

0.44,43.7%,87200,21500.44,43.7\%,\frac{87}{200},\frac{21}{50}

c)

2150,87200,43.7%,0.44\frac{21}{50},\frac{87}{200},43.7\%,0.44

d)

43.7%,0.44,87200,215043.7\%,0.44,\frac{87}{200},\frac{21}{50}

100.

You answered 15 out of 25 questions correct on a quiz. What was your percent?

a)

15%

b)

3%

c)

60%

d)

70%

101.

6x2+8+y6x^2+8+y  

How many terms does the algebraic expression have?

a)

1

b)

2

c)

3

d)

4

102.

6x2+8+y6x^2+8+y  

What is the vocabulary word for the number 8?

a)

variable

b)

constant

c)

coefficient

103.

6x2+8+y6x^2+8+y  

What are the coefficients for this algebraic expression?

a)

6

b)

6,2,1

c)

8

d)

6,8

e)

6,1

104.

Match the following

a)

numerical expression

1.

2+7

b)

algebraic expression

2.

3x+7

c)

algebraic equation

3.

2y+3=10

d)

numerical equation

4.

4+5=9

105.

Which expression would be the simplified equivalent to 36xxrrrr3\cdot6\cdot x\cdot x\cdot r\cdot r\cdot r\cdot r  

a)

18xr18xr  

b)

36x2r43\cdot6\cdot x^2r^4  

c)

18x2r418x^2r^4  

d)

18xr618xr^6  

106.

Evaluate 5x2+125x^2+12  when x=4.

(a)  

107.

Evaluate 5x2+125x^2+12  when x=4.

(a)  

108.

Simplify the expression.

4+(5+3x)4+\left(5+3x\right)  

a)

9+3x

b)

12x

c)

20+12x

d)

32x

109.

Simplify the expression.

12(3y)12\left(3y\right)  

a)

36y

b)

36+y

c)

15y

d)

48y

110.

Simplify the expression.

7(2x+3)+4x7\left(2x+3\right)+4x  

a)

18x+21

b)

18x+3

c)

6x+21

d)

6x+10

111.

Simplify the expression.

8x+15+2x+118x+15+2x+11  

a)

10x+26

b)

36x

c)

36+x

d)

26+8x+2x

112.

Simplify the expression by using the distributive property.

9(3x+2)9\left(3x+2\right)  

a)

27x+18

b)

27x+2

c)

11+3x

d)

18+3x

113.

Factor the expression using the GCF.

15y+6015y+60  

a)

75y

b)

3(5x+20)

c)

5(3y+12)

d)

15(y+4)

114.

A hairdresser receives a discount on each comb purchased. The original price of each comb is x dollars. The hairdresser purchases 20 combs for a total of (20d-80) dollars. By how much is each comb discounted?

a)

$20

b)

$80

c)

$4

d)

$40

115.

Which point on the coordinate plane represents the number of books you can buy for $30.00?

a)

A

b)

B

c)

C

d)

D

116.

What is the missing value in the table below?

a)

$20.00

b)

$30.00

c)

$40.00

d)

$50.00

117.

Which point on the coordinate plane represents the price of 10 pizzas?

a)

A

b)

B

c)

C

d)

D

118.

If 1 scoop of ice cream costs $1.50 and 3 scoops of ice cream cost $4.50, how much do 6 scoops of ice cream cost?

a)

$3.00

b)

$6.00

c)

$9.00

d)

$12.00

119.

How many miles could the family travel

in a period of 12 hours?

a)

750 mi

b)

900 mi

c)

825 mi

d)

975 mi

120.
What is the horizontal axis on a coordinate plane?
a)
A-axis
b)
B-axis
c)
X-axis
d)
Y-axis
121.
What is the vertical axis on a coordinate plane?
a)
A-axis
b)
B-axis
c)
X-axis
d)
Y-axis
122.

A car wash can wash four cars in one hour. The table shows the total number of cars washed in 0, 1, 2, and 3 hours.


Which graph represents the ordered pairs and describes the graph.

a)
b)
c)
d)
123.

Erasers cost 5 cents each at the school store. The table shows this relationship. Choose the graph which displays the ordered pairs and describes the graph.

a)
b)
c)
d)
124.

How many songs would there be in 12 hours?

a)

80 songs

b)

15 songs

c)

90 songs

d)

65 songs

125.

How much does the number of hand bags sold increase by per day?

a)

20

b)

15

c)

5

d)

1

126.

Based on the graph, how many people would there be in 7 days?

a)

30

b)

36

c)

42

d)

48

127.

What is your name?

(First and Last)

4 lines
128.

What name do you like to be called in class?

(Example, middle name, nickname from original, like Johnnie, John, etc.)

4 lines
129.

Are you ...

a)

An only child

b)

A middle child

c)

The oldest child

d)

The youngest child

130.

How many languages do you speak?

a)

Just English

b)

2

c)

3

d)

4+

e)

Does math count?

131.

Who is someone important in your life?

(Given name and relationship to you)

4 lines
132.

What do you want to be when you grow up?

4 lines
133.

How strong is your internet connection?

a)

weak

b)

strong enough

c)

not that strong

d)

super strong

134.

What is your biggest concern with coming back to school?

4 lines
135.

What is your favorite sport?

a)

Football/Soccer

b)

Basketball/Volleyball

c)

Cheer-leading/Gymnastics

d)

Baseball/Softball

e)

Other/none

136.

If you could have a super power, you would choose

a)

to fly

b)

invisibility

c)

super strength or speed

d)

to breathe underwater

e)

time travel

137.

Which of the following do you think it is most important to have in order to succeed?

a)

Patience (Anything that is worth attaining is worth waiting for)

b)

Determination (hard working)

c)

Discipline (Consistency)

d)

Genuine desire and willingness to learn.

e)

Aspiration (having clear set goals)

138.

Tell me one thing I should know about you.

4 lines
139.

What is something that you would like to know about me?

4 lines
140.

The four regions on the coordinate plane are called (a)  

Choose from the below words
origins
ordered pairs
quadrants
coordinates
141.

The vertical number line is called the (a)   .

Choose from the below words
x-axis
y-axis
ordered pair
quadrant
142.
The horizontal number line is called the _________ .
a)
x-axis
b)
y-axis
c)
ordered pair
d)
origin
143.

What are the coordinates of Point D?

a)

(-4,2)

b)

(2,-4)

144.

The coordinates (0,0) are also called ____.

a)

the beginning point

b)

the point of origin

c)

the center

d)

the starting point

145.
In the ordered pair (4,9), which number is the y-coordinate?
a)
4
b)
9
c)
neither
d)
both
146.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
147.
Which letter matches the coordinate (0, -6)?
a)
O
b)
L
c)
i
d)
Z
148.
What is the ordered pair for point A?
a)
( 2, 0)
b)
( 0 , 2)
c)
(0, -2)
d)
(-2,0)
149.
What is the ordered pair for point T?
a)
(3, 3)
b)
(3, -3)
c)
(-3, -3)
d)
(- 3, 3)
150.

What is the location of the point represented by the ordered pair (2, 5)?

a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
151.

Which number in this ordered pair (5,-8) represents the X coordinate?

a)

5

b)

-8

c)

neither

d)

both

152.

What are the signs of a coordinate in quadrant III?

a)

(+,+)

b)

(+,-)

c)

(-,-)

d)

(-,+)

153.

What is the location of the point represented by the ordered pair  (-4, 12)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

154.

What is the location of the point represented by the ordered pair (-23, -4)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

155.

Which ordered pair would be found in Quadrant IV?

a)

(1, -3)

b)

(12, 12)

c)

(-4, -6)

d)

(-3, 8)

156.

What are the coordinates of point H?

a)

(-4, 2)

b)

(4, -2)

c)

(-2, 4)

d)

(4, 4)

157.

What is the ordered pair for point K?

a)

(-3, -3)

b)

(3, -3)

c)

(-4, -4)

d)

(5, 8)

158.

What is the ordered pair for point E?

a)

(3, 0)

b)

(0,4)

c)

(0, -3)

d)

(-3, 0)

159.

What is a quadrant?

a)

The point where the y and x axis intersect

b)

The four regions of a coordinate plane

c)

a point on the y-axis

d)

a point on the x-axis

160.

What is the location of point B?

a)

Quadrant IV

b)

Quadrant III

c)

Quadrant II

d)

Quadrant I

161.

What is the location of point F?

a)

y-axis

b)

Quadrant I

c)

x-axis

d)

Quadrant IV

162.

Which point on the coordinate plane is represented by ( -1, 1 ) ?

a)

H

b)

G

c)

A

d)

J

163.

Which point on the coordinate plane is represented by ( 3, 0 ) ?

a)

G

b)

E

c)

F

d)

A

164.

Which letter matches the coordinate (-5, -9)?

a)

P

b)

K

c)

D

d)
None of the above