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6th Grade Final

Total questions: 55

Worksheet time: 1hrs 16mins

Name
Class
Date
1.

What is the value of 28.95w when w = 0.32?

a)

9.264

b)

92.64

c)

9.624

d)

answer not given

2.

How can you rewrite 4.2 ÷ 1.48 as a division problem with a whole-number divisor?

a)

42 ÷ 1.48

b)

42 ÷ 14.8

c)

420 ÷ 148

d)

42 ÷ 148

3.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 − y + 5

4.
a)

48m^2

b)

108m^2

c)

156m^2

d)

84m^2

5.

45x = 4 13\frac{4}{5}x\ =\ 4\ \frac{1}{3}  

x = ?

a)

5 5125\ \frac{5}{12}  

b)

3 7153\ \frac{7}{15}  

c)

4 584\ \frac{5}{8}  

d)

answer not given

6.

Solve for x

125 = 5x

a)

x = 5

b)

x = 125

c)

x = 25

d)

x = 625

7.
Solve the equation:
a + 2.4 = 7.8
a)
a = 10.2
b)
a = 5.4
c)
a = 17.76
d)
a = 3.25
8.
Solve the equation:
b - ¼ = 3 ½
a)
b = 3 ¼
b)
b = 14
c)
b = ⅞
d)
b = 3 ¾
9.
Solve the equation:
⅓s = ⅕
a)
s = ⅕
b)
s = ⅗
c)
s = 5/3
d)
s = 2/15
10.

x÷16=3x\div\frac{1}{6}=3  

x=

a)

1/2 

b)

2

c)

2/3

d)

18

11.

It's payday! Mary earned $547.20 on her paycheck. If she worked for 36 hours that pay period, how much money did Mary earn per hour?

a)

$14.65

b)

$15.88

c)

$13.99

d)

$15.20

12.

When multiplying a number by 0.1 or 0.01, the decimal point moves to the __________.

a)

left

b)

right

13.

23.6× ? =0.23623.6\times\ ?\ =0.236  

a)

10

b)

100

c)

0.1

d)

0.01

14.

What is a unit rate?

a)

a comparison of two values that are the same

b)

a comparison of two value that are different

c)

two equivalent proportions

d)

a rate with a second quantity of 1 unit

15.

1500 students and 75 classrooms. Create a unit rate.

a)

20 classrooms to 1 student

b)

20 students to 1 classroom

c)

1,125 classroom to 100 students

d)

not here

16.

When dividing a number by 0.1 or 0.01, the decimal point moves to the __________.

a)

left

b)

right

17.

6.8531 ÷\div  0.01 = N

a)

685.31

b)

68.531

c)

6853.1

d)

6.8531

18.

In 4 days the temperature dropped 27 degrees. How many degrees did the temperature drop each day?

a)

23 degrees each day

b)

4 degrees each day

c)

6.75 degrees each day

d)

7 degrees each day

19.

What is the area of this trapezoid?

a)

120 m2

b)

92 m2

c)

84 m2

d)

Area not given

20.

What property of equality is shown below?

y - 782 = 396



(a)  

21.

Caroline took a math test and got 21 out of 24 questions correct.  What percent of the questions did she answer correctly?

a)

80%

b)

87.5%

c)

90%

d)

85%

22.

103=10^3=  

a)

10×10×1010\times10\times10  

b)

10×310\times3  

c)

10+10+1010+10+10  

d)

10,000

23.

Write the following in exponential form:

4 x 4 x 4 x 4 x 4

a)

45

b)

54

c)

46

d)

46

24.

Identify the quadrant where the point is located. (10 , -5)

a)

I

b)

II

c)

III

d)

IV

25.

Identify the quadrant where the point is located. (-2, 6)

a)

I

b)

II

c)

III

d)

IV

26.

Evaluate if a = 4 234\ \frac{2}{3}  

a +7 34a\ +7\ \frac{3}{4}  

a)

11 5711\ \frac{5}{7}  

b)

12 5612\ \frac{5}{6}  

c)

12 51212\ \frac{5}{12}  

d)

Answer not given 

27.

In a presidential election, Candidate A receives 0.1 of the votes and Candidate B receives half of the rest of the votes. What percent of the votes did Candidate B receive.

a)

9%

b)

90%

c)

0.45

d)

45%

28.

Sam uses 1 1/4 ounces of ham on each sandwich. If he makes 4 1/2 sandwiches, how much ham will he use?

a)

5

b)

5 5/8

c)

5 3/4

d)

4 5/8

29.

Hank has a large bag of trail mix that weighs 27.8 pounds. He uses the mix in the large bag to make bags each containing 3.6 pounds of the mix. About how many bags can be made?

a)

30 bags

b)

32 bags

c)

10 bags

d)

7 bags

30.
86.04 + 4.04
a)
9.044
b)
9044
c)
90.08
d)
90.44
31.

Use 3.14 for π\pi  

Find the area of the shaded region

(a)  

32.

For which value of x is the equation true:

5x - 12 = 18

a)

5

b)

6

c)

7

d)

8

33.

Write 2 382\ \frac{3}{8}  as a decimal

(a)  

34.

Translate the following into an algebraic expression: The quotient of a number and 15

a)

S-15

b)

S+15

c)

15S

d)

S÷15

35.

x ÷ 2 14  = 23x\ \div\ 2\ \frac{1}{4\ }\ =\ \frac{2}{3}  

a)

2

b)

1  121\ \ \frac{1}{2}  

c)

12\frac{1}{2}  

d)

Answer not given

36.

A water park uses 125 gallons every time its bucket feature empties. In a week it uses 7(125x)7\left(125x\right)  gallons. What does x mean in this expression?

a)

The number of times the bucket dumps in a week

b)

The number of times the bucket dumps per day

c)

The amount of water used per day

d)

The amount of water used per week

37.
Identify a constant in the expression
3x + 2y + 7
a)
3
b)
2y
c)
7
d)
2
38.
How many terms are in the expression
3x + 2y + z
a)
5
b)
2
c)
4
d)
3
39.

24.89×2.6724.89\times2.67\cong_{ }  Estimate each factor to the nearest tenth first before multiplying.



(a)  

40.

If the quotient is 23.274, and the dividend is 23274, what is the

divisor?

a)

0.001

b)

0.01

c)

100

d)

1000

41.

Use order of operations: 8(1624)÷5×4÷28-(16-2^4)\div5\times4\div2  

a)

0

b)

1

c)

2

d)

3

e)

Answer not given

42.

5x4.55x\ge4.5  

a)

x9x\ge9  

b)

x9x\le9  

c)

x0.9x\ge0.9  

d)

x0.9x\le0.9  

43.

24 ≤ 2h + 14

a)

h ≥ 5

b)

h ≥ 10

c)

h ≤ 10

d)

h ≤ 5

44.

Solve the equation:  x + 197 = 512

x =

(a)  

45.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
46.
Write 750% as a decimal.
a)
0.750
b)
75.0
c)
7.50
d)
7.25
47.
The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?
a)
14 days
b)
24 days
c)
34 days
d)
44 days
48.

Which equivalent expression correctly shows 9 (4 × w) +49\ \left(4\ \times\ w\right)\ +4  using the associative property

a)

(36 x w) + 4

b)

9 x 4 x (w + 4)

c)

9 x 4 x w + 4

d)

(9 x 4) x w + 4

49.
Tucker lost fewer than 9 points. Which inequality represents the situation? 
a)
p > 9
b)
p < 9
c)
p ≥ 9
d)
p ≤ 9
50.

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

51.

What is the first step needed to solve: 2 13< f+1 232\ \frac{1}{3}<\ f+1\ \frac{2}{3}  

a)

Subtract 2 132\ \frac{1}{3}  from both sides

b)

add 1 231\ \frac{2}{3}  from both sides

c)

Subtract 1 231\ \frac{2}{3}  from both sides

d)

add 2 132\ \frac{1}{3}  from both sides

52.

What would be the coordinates of point B after being reflected across BOTH axes. (Click on the picture to make bigger)

a)

(4, 6)

b)

(-4, -6)

c)

(-6, 4)

d)

(4, -6)

53.

What is 0.123 in fraction form

(a)  

54.

What is 7/12 as a decimal?

a)

0.583\overline{0.583}  

b)

0.5830.\overline{583}  

c)

0.5830.5\overline{83}  

d)

0.5830.58\overline{3}  

55.
If your grade is less than a 60, then you have an F. 
a)
x  < 60
b)
x > 60 
c)
x ≤ 60
d)
X ≥ 60