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Topics 1-8 Review : EnVision Math 6th Grade

Total questions: 53

Worksheet time: 2hrs 39mins

Name
Class
Date
1.

Which is the correct way to write 4×4×4×4×44\times4\times4\times4\times4 in exponential form?

a)

 4×54\times5 

b)

 454^5 

c)

 545^4 

d)

 464^6 

2.

Evaluate 747^4 .

a)

28

b)

11

c)

2,401

d)

2,301

3.

Which number sentence shows the Multiplication Property of Zero?

a)

0 + 0 = 0

b)

1 x 8 = 8

c)

18×0=018\times0=0

4.

Which property is shown by this number sentence?

16 + 0 = 16

a)

Identity Property of Multiplication

b)

Identity Property of Addition

c)

Multiplication Property of Zero

d)

Commutative Property of Addition

5.

Evaluate  60÷(6 + 9)  360\div\left(6\ +\ 9\right)\ -\ 3  

a)

1

b)

16

c)

5

d)

4

6.

Evaluate [(12×2.4)(8.4÷0.6)]+325.1\left[\left(12\times2.4\right)-\left(8.4\div0.6\right)\right]+3^2-5.1 .

a)

15.7

b)

36

c)

18.7

d)

22

7.

In this equation, choose the value of d to make it true. 3(22)+3(4)=3(d)+3(6)3\left(22\right)+3\left(4\right)=3\left(d\right)+3\left(6\right) 

a)

26

b)

22

c)

4

d)

20

8.

How many terms are in this expression?

 14a +66b 2314a\ +66b\ -\frac{2}{3}  

a)

1

b)

2

c)

3

d)

4

9.

What would be the opposite of D if D is equal to 4? Select all that apply.

a)

 4-4 

b)

 4\left|-4\right| 

c)

 4-\left|4\right| 

d)

 4-\left|-\right|4\left|\right| 

e)

 8÷2-\left|8\div2\right| 

10.

Choose all that are true.

a)

0.25=140.25=\frac{1}{4}

b)

158<1.61\frac{5}{8}<1.6

c)

185=611\frac{8}{5}=\frac{6}{1}

d)

3.653343.65\ne3\frac{3}{4}

11.

A :  4\ \left|-4\right| 
B : 1+1-\left|1+-1\right| 
C : 14+(13)-\left|14+\left(-13\right)\right| 

a)

A : 4
B : 0
C : -1

b)

A : -4
B : 0
C : 1

c)

A : -4
B : -0
C : -1

d)

A : -4
B : 0
C : -1

12.

Find the location of U on this coordinate plane

a)

(1, 6)

b)

(6, 1)

c)

(2, 5)

d)

(5, 2)

13.

What are the lengths of AB, BC\overline{AB},\ \overline{BC} respectively?

a)

5, 8

b)

8, 5

c)

5, 8, 5, 8

d)

i can has confused?

e)

what does respectively mean

14.

What is the absolute value of D on the number line?

a)

6

b)

-6

c)

 6\left|-6\right| 

d)

 6\left|6\right| 

15.

Divide 117÷6531\frac{1}{7}\div6\frac{5}{3} .


Write your answer as a proper fractions in simplest form.



(a)  

16.

Solve 47×[38+(56+18)]\frac{4}{7}\times\left[\frac{3}{8}+\left(\frac{5}{6}+\frac{1}{8}\right)\right] . Write your answer in the form of a fraction in simplest form.



(a)  

17.

Solve 18÷79\frac{1}{8}\div\frac{7}{9} . Write your answer as a fraction in simplest form.



(a)  

18.

Write an equation for five minutes more than d.

Example: 8+d OR t + 3

(a)  

19.

How many terms does the equation r÷3+3.9r\div3+3.9 have? Type your answer in number form.



(a)  

20.

How could the equation number t 4 times be written out? Choose all that apply.

a)

 4t4t 

b)

 4(t)4\left(t\right) 

c)

 t4t4 

d)

 4×n4\times n 

21.

What is the GCF of 6, 10, and 104?

(a)  

22.

What is the LCM of 2, 3, and 6?

(a)  

23.

What is the GCF of 5, 10, and 76?

(a)  

24.

What is the LCM of 2, 6, 12, and 18?

(a)  

25.

If 23+7=3023+7=30 , does 23+7×3=30×323+7\times3=30\times3 ?

a)

Yes

b)

No

26.

Bill went to a store and bought 2 cartons of whole milk for $3.99 each, a box of eggs for $5.99, and a bag of chips for $2.99. Write and solve an equation to show how much he spent on whole milk.

a)

3.99×2=m, m=7.98\text{3.99}\times2=m,\ m=\text{7.98}

b)

(3.99×2)+5.99+2.99=m, m=16.96\left(3.99\times2\right)+5.99+2.99=m,\ m=16.96

c)

(3.99+5.99+2.99)×2=m, m=25.94\left(3.99+5.99+2.99\right)\times2=m,\ m=25.94

d)

None of the above

27.

An equation that states either side is greater than, less than, or equal to, is called an (a)   .

28.

Solve the inequality 3n  n3n\ ◯\ n .

a)

 << 

b)

 \le 

c)

 == 

d)

 \ge 

e)

 >> 

29.

Bob goes to Stop and Shop with m money and buys c cartons of milk, a apples, and o oranges. What are the independent and dependent variables?

a)

There is no independent variable, all of them are dependent on one another.

b)

The dependent variable is m; c, a, and o are independent.

c)

There is no dependent variable, they all are independent.

d)

None of the above.

30.

If a florist uses 4 red roses for every 3 white roses in her bouquets, which of the following combinations can be used?

a)

 4:34:3 

b)

 8:68:6 

c)

 6:86:8 

d)

 3:43:4 

e)

 12:912:9 

31.

Solve the inequality 4n+1  n+14n+1\ ◯\ n+1 .


a)

 >> 

b)

 \ge 

c)

 == 

d)

 \le 

e)

 << 

32.

Solve the inequality 4m  4n4m\ ◯\ 4n if n = 13 and m < n.

a)

 >> 

b)

 \ge 

c)

 == 

d)

 \le 

e)

 << 

33.

Write a ratio equivalent to 4:124:12 .

a)

 1:31:3 

b)

 2:62:6 

c)

 6÷2144÷12\frac{6\div2}{144\div12} 

34.

A relationship in which there are y units of a quantity for every x units of a quantity is a (a)   . An example would be 5:4.

35.

What is the unit rate of 1057\frac{105}{7} ? Write your answer like this: 5/1

(a)  

36.

A greenhouse owner buys 15 glass panes to repair their greenhouse. The 15 panes costed $30.15. Unfortunately, they broke 7 in the process of replacing the old ones. How much will 7 new panes cost?

a)

$2.01

b)

$14.07

c)

$30.15

d)

None of the above.

37.

Write a unit rate for 56:1456:14 .

a)

 4:14:1 

b)

 41\frac{4}{1} 

c)

4 to 1

d)

8 to 2

38.

If Leo made balls of yarn at a rate of 4 balls of yarn1 hour\frac{4\ balls\ of\ yarn}{1\ hour} , how many balls of yarn will he have made if he makes them for 2 hours on Friday, 4 hours on Saturday, and 1 hour on Sunday?

a)

20 balls of yarn

b)

8 balls of yarn

c)

16 balls of yarn

d)

4 balls of yarn

e)

None of the above.

39.

Convert 1 km to meters, dekameters, and decimeters.

a)

1,000 m

b)

100 dam

c)

10,000 dm

d)

None of the above are correct.

40.

Convert 4 kg to hg.

(a)  

41.

What is the percent form of 2:8

(a)  

42.
What is 2/10% in decimal form
a)
0.2
b)
0.02
c)
0.002
d)
2
43.
What is 136% in fraction and decimal form? Select ONE fraction and One decimal.
a)
1.36
b)
136/100
c)
14/100
d)
140/10
e)
0.136
44.
Estimate 38% of 76
a)
29
b)
32
c)
28.88
d)
2
45.
A ____________ is a ratio that compares a number to 100
a)
Percent
b)
Fraction
c)
Quandrant
d)
Polyhedron
46.
What is 40% of 1960?
a)
0.5
b)
123
c)
784
d)
5467
47.

What is 32% of 1850?

a)

345

b)

595

c)

592

d)

0.592

48.

If 25% of 100 is 25, what is 25% of 50?

a)

4

b)

2

c)

1.25

d)

12.5

49.
What is the height of a rhombus of which the area is 56 m2 and the base being 8 m.?
a)
7m
b)
8m
c)
700cm
d)
7in
50.
A rectangle has an area of 88 yards it has a length of 8 feet. What is the width of the rectangle in inches.
a)
33ft
b)
396in
c)
264ft
d)
396.2in
51.
A cube has a length of 7 inches, a width of 8 inches, and a height of 9 inches. What is the area of the cube?
a)
504in
b)
450
c)
540in
d)
504yd
e)
none of the above
52.
Solve for a pyramid's surface area if each side of each triangle is 6 cm long.
a)
144cm2
b)
36cm2
c)
72cm2
53.
Find the volume of a cube with a surface area of 24 in2.
a)
24in2
b)
8 in3
c)
16 in3
d)
24 in3
e)
8 in2