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Worksheets

6th GRADE!!! YOU GOT THIS!!

Total questions: 75

Worksheet time: 3hrs 48mins

Name
Class
Date
1.

Choose the correct formula for finding volume of a rectangular prism

a)

1/2bh

b)

(b1+b2)h2\frac{\left(b_1+b_2\right)h}{2}

c)

Bh

d)

bh

2.
Find the Volume
a)
428.4 cm3
b)
412.8 cm3
c)
404.2 cm3
d)
400 cm3
3.
A shoe box is 15 inches long, 9 inches wide, and 5 inches tall. What is the volume of the shoe box?
a)

29 cubic inches

b)

75 cubic inches

c)

135 cubic inches

d)

675 cubic inches

4.
Find the area of the trapezoid
a)
36 meters squared
b)
72 meters squared
c)
18 meters squared
5.
What is the formula for area of a trapezoid?
a)

BhBh

b)

12(b1+b2)h\frac{1}{2}\left(b_1+b_2\right)h

c)

b1+b2×hb_1+b_2\times h

d)

1/2 Bh

6.
Find the area.
a)
64 m
b)
72 m
c)
72 m2
d)
64 m2
7.
Find the area of the figure.
a)
10 cm2
b)
24 cm2
c)
12 cm2
d)
20 cm2
8.

What is the formula for the area of a triangle?

a)

1/2 bh

b)

Bh

c)

bh

d)

length X width

9.
Find the Area of this triangle
a)

19.8 km2

b)

37.8 km2

c)

18.9 km2

d)

35 km2

10.
Area or triangle?
a)
20 cm2
b)
56 cm2
c)
28 cm2
d)
27 cm2
11.

All triangles have to add up to ...

a)

180 degrees

b)

90 degrees

c)

100 degrees

d)

360 degrees

12.

The height and the base will always make up a...

a)

straight line

b)

actue angle

c)

right angle

d)

obtuse angle

13.

The B in this formula represents what? V=Bh

a)

the area of the base of the rectangular prism

b)

the length

c)

the base of a 2 dimensional figure

d)

the area of the height

14.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
15.

Solve for x

8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

16.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
17.

Level 1

Write an inequality for the statement:

You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

18.

Simplify 8x 33x8x\ -3-3x  

a)

5x35x-3  

b)

14x14x  

c)

11x311x-3  

d)

10x310x-3  

19.

Which expression is equivalent to xx+y+yx\cdot x+y+y  ?

a)

2x+2y2x+2y  

b)

2(x)+6(y)2\left(x\right)+6\left(y\right)  

c)

x2+2yx^2+2y  

d)

2xy2xy  

20.

Which expression IS NOT equivalent to 8x248x-24  ?

a)

4(2x20)4\left(2x-20\right)  

b)

5x+3x 2045x+3x\ -20-4  

c)

8(x3)8\left(x-3\right)  

d)

4(2x)4(6)4\left(2x\right)-4\left(6\right)  

21.

Which two expressions are equivalent?

a)

4 + (3 ⋅ y) =

(4 + 3) ⋅ y

b)

(18 ÷ y) + 10 =

10 + (y ÷ 18)

c)

12 \cdot (y ⋅ 2) =

12 \cdot (2 ⋅ y)

d)

(10 - 6) ÷ y =

10 - (6 ÷ y)

22.

Which expression is equivalent to 30?

a)

26 + (4 × 3) ÷ 3

b)

( 12 + 4) − 3

c)

(16 ÷ 4) + 22

d)

(2 × 10) ÷ (4 × 5)

23.

Which two expressions are equivalent?

a)

6 ⋅ x + 3

6 ⋅ ( x + 3)

b)

8 ⋅ 6 ÷ x

8 ⋅ x ÷ 6

c)

9(6 + x)

9 ⋅ 6 + 9 ⋅ x

d)

x + (8 ⋅ 9)

(x + 8) ⋅ 9

24.

Which of the following is an expression?

a)

3 + 30

b)

3x + 6 = 3

c)

x + 18

d)

The sum of 10 and a number is 20.

25.

Which one is equivalent to 5(a + 6)?

a)

5a + 6

b)

5a + 30

c)

a + 30

d)

5a - 30

26.

Which of the following is an equation?

a)

t5=10t-5=10

b)

The difference of five and a number

c)

6y

d)

The quotient of 7 and a number is ten.

27.

Which expression is equivalent to 4n ?

a)

nnnnn\cdot n\cdot n\cdot n

b)

n4n^4

c)

2n+n+n2n+n+n

d)

n×5n\times5

28.
Which expression is equivalent to 7(y + 2)?
a)
7y + 14
b)
7y + 2
c)
7 + y + 2
d)
7y + 9
29.

Solve:

(2)3\left(-2\right)^3

a)

-6

b)

6

c)

8

d)

-8

30.
On a graph, which axis shows the dependent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
31.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
32.

The x- axis is the ___________________ number line in the coordinate plane.

a)

Vertical

b)

Diagonal

c)

Horizontal

d)

origin

33.
A(n) _____________ variable depends on or is changed by another variable.
a)
dependent
b)
independent
34.

The y- axis is the ___________________ number line in the coordinate plane.

a)

Vertical

b)

Diagonal

c)

Horizontal

d)

origin

35.
Name the INDEPENDENT variable from the table below.
a)
words
b)
minutes
36.

Which of the following shows an additive relationship?

a)

A

b)

B

c)

C

d)

D

37.

Sophie earned $5 for every A she got on her report card.


m = money

A = A on report card


The dependent variable is:

a)

m = money

b)

A = A on report card

38.

Which of the following is the label for the independent variable.

a)

Money Collected

b)

Raising Money

c)

Boxes Sold

d)

None of the above

39.
Independent means
a)
an amount that can stand on its own
b)
an amount that depends on another amount
40.
Which label best describes the dependent quantities shown in the table?
a)
Number of tickets (t)
b)
Cost (c)
41.
a)
the independent variable is distance
b)
the independent variable is d=25 t
c)
the dependent variable is time
d)
the dependent variable is distance
42.

How many milliliters are in 2 liters?

a)

3 mL

b)

1000 mL

c)

1300 mL

d)

2,000 mL

43.

Doug bought 4 pints of apple juice.

How many cups of apple juice did Doug buy?

a)

8 cups

b)

7 cups

c)

21 cups

d)

2 cups

44.

34 kg = _____g

a)

340 g

b)

3,400 g

c)

34,000 g

d)

340,000 g

45.

42 quarts = _______cups

a)

4 cups

b)

168 cups

c)

168 pints

d)

16 pints

46.

May used 32 ounces of milk in her cookie recipe. How many cups of milk did she use?

a)

24 cups

b)

40 cups

c)

4 cups

d)

256 cups

47.

The backyard is 27 feet wide. How many yards wide is the backyard?

a)

81 yd

b)

30 yd

c)

24 yd

d)

9 yd

48.

47 m = _____ cm

a)

.47 cm

b)

4.7 cm

c)

470 cm

d)

4,700 cm

49.

When converting from small unit to large unit:

a)

Multiply

b)

Divided

50.

When converting from large unit to small unit:

a)

Multiply

b)

Divided

51.

Feet and Yards

a)

Metric

b)

Customary

52.

10 meter = _________cm

a)

10

b)

100

c)

1000

d)

1

53.

What is tons and pounds classified as?

a)

Length

b)

Volume

c)

Weight

d)

Mass

54.

fl. oz refers to what unit measurement?

a)

Pints

b)

Fluid ounces

c)

ton

d)

feet

55.

How much mm are in 5 cm?

a)

1

b)

5

c)

10

d)

50

56.
-7 x 4
a)
24
b)
28
c)
-28
d)
-24
57.

-5 x -8

a)

-40

b)

-13

c)

-45

d)

40

58.
(-25) ÷ (-5)
a)
5
b)
-5
c)
-20
d)
-30
59.
56 ÷ (-7)
a)
-8
b)
-9
c)
8
d)
7
60.
-24 ÷ (-8)
a)
32
b)
-3
c)
-16
d)
3
61.

(5)×(7)\left(-5\right)\times\left(-7\right)  

a)

Positive

b)

Negative

62.
-7 x 4
a)
24
b)
28
c)
-28
d)
-24
63.

-7 x -7

a)

14

b)

-14

c)

49

d)

-49

64.

20 ÷ 5-20\ \div\ 5  

a)
-4
b)
4
c)
-100
d)
100
65.

30÷10=-30\div-10=  

a)
-30
b)
-3
c)
3
d)
30
66.
a)

A

b)

B

c)

C

d)

D

67.

Marco bought a sweater for 14\frac{1}{4}  of the regular price. Which of the following percentages is equivalent to 14\frac{1}{4}  ?

a)

14%

b)

25%

c)

30%

d)

45%

68.

US currency is 80% cotton. Which fraction is equivalent to 80%?

a)

15\frac{1}{5}   

b)

45\frac{4}{5}  

69.

Which to sets does -675 belong? Select the two answer choices.

a)

whole

b)

rational

c)

natural

d)

integer

70.

Which decimal is equivalent 3/8?

a)

.75

b)

.667

c)

.375

d)

.125

71.
a)

-4

b)

-2

c)

2

d)

4

72.
a)

-17

b)

-11

c)

-19

d)

-23

73.

Which shows the order from Greatest to Least?

a)

-4,-3,0,2

b)

2,0,-3,-4

c)

0,2,-1,-4

d)

-3,1,2,3

74.
a)

b)

75.
a)

b)

c)

d)