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6th Grade Math Review

Total questions: 50

Worksheet time: 1hrs 17mins

Name
Class
Date
1.

Solve for x

x - 8 = 30

a)

22

b)

3.75

c)

38

d)

240

2.
Convert 3/5 into a decimal
a)
0.666
b)
0.6
c)
1.667
d)
3.5
3.

Whats the area of the triangle?

a)

24cm³

b)

24cm²

c)

12cm²

d)

12cm³

4.
Which problems are correct?
a.     3²= 6
b.     5³= 15
c.     8²= 64
d.     4³=  64
a)
I agree with a, c and d
b)
I agree with c and d only
c)
I disagree with all of them
d)
I agree with a, b, and c
5.
What is the opposite of -8?
a)
-8
b)
0
c)
8
d)
1/8
6.
Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]
a)
-1, -5, 0, 1, 3, 10, 16
b)
16, 10, 3, 1, 0, -1, -5
c)
-5, -1, 0, 1, 3, 10, 16
d)
0, -1, 1, 3, -5, 10, 16
7.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

8.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores? (Range = highest score - lowest score)

a)

193

b)

127

c)

60

d)

66

9.

Find the median of these numbers:

4, 2, 7, 4, 3

(Median = middle number when numbers are listed in order)

a)

2

b)

5

c)

7

d)

4

10.

If you start at (0,0) and you run 2 miles EAST and 4 miles NORTH. What plot would you be at on a coordinate grid?

a)

(2,4)

b)

(-4,2)

c)

(4,2)

d)

(-2,4)

11.

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.

12,10,10,10,13,12,11,13,10

(Mode = number that occurs the MOST)

a)

13

b)

12

c)

11

d)

10

12.

Find the mean of these numbers:

5,11, 2,12, 4, 2

(Mean = add the numbers, then divide by how many numbers you added together)

a)

4.1

b)

6

c)

4.5

d)

4

13.

Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?

a)

8 minutes

b)

9 minutes

c)

16 minutes

d)

18 minutes

14.

A submarine was 1800 ft below sea level. It dove another 1500 feet deeper. Which integer represents its location?

a)

-300

b)

-1300

c)

-3300

d)

300

15.

What is the GCF (Greatest Common Factor) of 12 and 16?

a)

4

b)

8

c)

12

d)

2

16.
What is the absolute value of | -7 |?
a)
-7
b)
7
c)
-7 and 7
17.

There are 5 boys and 15 girls in a class. what is the ratio of girls to boys?

a)

5:10

b)

1:3

c)

15:5

d)

10:20

18.
What is A?
a)
84
b)
7
c)
28
d)
82
19.

What is the area of this parallelogram?

a)

60 sq in

b)

30 sq in

c)

25 sq in

d)

50 sq in

20.

What is the area of this triangle?

a)

84 square units

b)

70 square units

c)

35 square units

d)

42 square units

21.

What is the surface area of this rectangular prism?

a)

60 sq cm

b)

47 sq cm

c)

94 sq cm

d)

100 sq cm

22.

Select ALL of the following ratios that are equivalent to 9:3

a)

3:9

b)

3:1

c)

18:6

d)

12:6

23.

4 movie tickets cost $48. At this rate, what is the cost of 5 tickets?

a)

$65

b)

$53

c)

$60

d)

$50

24.

At the zoo, there are 3 monkeys for every elephant. How many elephants are there if there are 36 monkeys?

a)

14

b)

10

c)

15

d)

12

25.

At the auto shop, 4 tires cost $300. What is the cost per tire?

a)

$75

b)

$100

c)

$125

d)

$1200

26.

During a sale, all video games are 15% off. If you buy a game with an original price of $60, how much would you save?

a)

$6

b)

$9

c)

$12

d)

$15

27.

Solve:  34÷23\frac{3}{4}\div\frac{2}{3}  

a)

 98\frac{9}{8}  

b)

 612\frac{6}{12}  

c)

 12\frac{1}{2}  

d)

 94\frac{9}{4}  

28.

Solve: 3.245 −1.433.245\ -1.43 

a)

1.815

b)

4.675

c)

3.102

d)

2.756

29.

 Solve: 6.21×4.2Solve:\ 6.21\times4.2  

a)

26.082

b)

37.26

c)

25.124

d)

29.896

30.

What is the solution to x+3=12x+3=12 

a)

x = 15

b)

x = 10

c)

x = 9

d)

x = 4

31.

What is the solution to 6x=426x=42  

a)

x = 6

b)

x = 7

c)

x = 8

d)

x = 36

32.

Select all equations where x = 7 is a solution.

a)

x+6=13x+6=13

b)

7x=147x=14

c)

x2=49x^2=49

d)

5x=355x=35

e)

x÷7=1x\div7=1

33.

Select all expression that are equivalent to  353^5  

a)

 3×3×3×3×33\times3\times3\times3\times3  

b)

 3×53\times5  

c)

15

d)

243

e)

 5×5×55\times5\times5  

34.

What are the coordinates of the plotted point?

a)

(5, 2)

b)

(-5, 2)

c)

(5, -2)

d)

(-5, -2)

35.

Select all expressions that are equivalent to ∣−13.8∣\left|-13.8\right|  

a)

13.8

b)

-13.8

c)

 ∣13.8∣\left|13.8\right|  

36.

What is the distance between (3,10) and (3,-8) on a coordinate grid?

a)

2

b)

3

c)

18

d)

8

37.

The results of a class survey of how many pets each student has are shown.


Which dot plot represents the results?

a)
b)
c)
d)
38.

Points A and B are shown.


What is the distance, in units, between point A and point B?

a)

5

b)

12

c)

10

d)

20

39.

 Solve    95 − 34Solve\ \ \ \ 95\ -\ 3^4 

a)

14

b)

92

c)

100

d)

83

40.

A printer prints 75 pages in 5 minutes. At the same rate, how many pages will the printer print in 7 minutes?

a)

15 pages

b)

75 pages

c)

105 pages

d)

225 pages

41.

Casey has a total of 18 pens. Twelve of the pens are blue and the rest are red.


What is the ratio of blue pens to red pens?

a)

1 : 2

b)

2 : 1

c)

2 : 3

d)

3 : 2

42.
Translate 3f into a verbal description.
a)
3 added to f
b)
3 multiplied by f
c)
3 to the power of f
d)
3 plus f
43.
The sum of 6 and x
a)
x + 6
b)
6/x
c)
x + 4
d)
6x
44.

Combine Like Terms: 7x+13-4x=

a)

28x+13

b)

7x+9

c)

3x+13

45.

Use the Distributive Property to Solve: 7(3x-9)

a)

21x-63

b)

10x+16

c)

4x-9

46.

Combine Like Terms:

3x+8b+7x+11+6b=

a)

9x+13b-11

b)

11x+6b+18

c)

10x+14b+11

47.

Use the Distributive Property to Solve: 5(6x-7)

a)

5x-35

b)

11x-12

c)

30x-35

48.
What is the PERIMETER of this rectangle?
a)
22 sq. yd.
b)
22
c)
22 cm
d)
22 yd.
49.
What is 75% equal to?
a)
1/4
b)
1/8
c)
1/2
d)
3/4
50.
1/2 is equal  to?
a)
75%
b)
50%
c)
28%
d)
100%