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6th Grade Math Review

Total questions: 67

Worksheet time: 6hrs 35mins

Name
Class
Date
1.

5/8 divided by 3/4

a)

5/6

b)

15/32

c)

10/6

d)

6/5

2.

How would you write the following phrase as a expression?


7 more than a number

a)

7 x c

b)

7 divided by c

c)

c + 7

d)

7 - c

3.

Which shows 24 + 54 written using the distributive property?

a)

12 (2 + 4)

b)

6 ( 4 + 9)

c)

2 (12 + 27)

d)

3 ( 8 + 51)

4.

Simplify the expression using the distributive property.


9(4y - 7)

a)

36y + 63

b)

27y

c)

99y

d)

36y- 63

5.

Which point is located at (-2, -4)?

a)

G

b)

R

c)

T

d)

B

6.

Which point is located at (5,-1)?

a)

T

b)

B

c)

R

d)

K

7.

Find the unit rate.


294 miles every 14 gallons

a)

21 miles per gallon

b)

4,116 miles per gallon

c)

20 miles per gallon

d)

30 miles per gallon

8.

How would you write the following phrase as a number expression?


eight more than triple a number

a)

3n - 8

b)

8 + 3

c)

3n + 8

d)

11n

9.

Which statement represents the expression 3r - 5

a)

The product of 3 and a number less than 5

b)

5 minus the product of 3 and a number

c)

5 less than the product of 3 and a number

d)

The product of 3 and a number subtracted from 5

10.
What is the opposite of -8?
a)
-8
b)
0
c)
8
d)
1/8
11.

What is the area of the triangle?

a)

24cm³

b)

24cm²

c)

12cm²

d)

12cm³

12.

Express the percent as a decimal 37%

a)

.2

b)

3.7

c)

.37

d)

37

13.

Simplify the expression


21 + 34b -8 -5b + 8 +23b

a)

10b + 0

b)

21b - 52b

c)

52b + 21

d)

52b - 21

14.
Find the area.
a)
16 feet squared
b)
24 feet cubed
c)
24 feet squared
d)
32 feet squared
15.
What is the GCF 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.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2 to 5
b)
5 to 3
c)
3 to 5
d)
5 to 2
18.
Write the ratio in simplest form
12:28
a)
3:7
b)
7:3
c)
6:4
d)
8:5
19.

Simplify the expression


36a + 12 -6a -7

a)

5a + 30

b)

30a +5

c)

42a -5

d)

42a + 19

20.
Round 3.465 to the hundredths place
a)
3.46
b)
3.47
c)
3.5
d)
3.465
21.
24 - 24 ÷ 3 + 1
a)
-12
b)
9
c)
4
d)
1
22.
A skateboard is on sale with a 25% discount. The original price was $120.
Find the sale price.
a)
60
b)
90
c)
110
d)
44
23.
Find the area.
a)
28 square cm
b)
36 square cm
c)
40 square cm
d)
36 square feet
24.

Find the distance between the two points.

(4,3) and (-1,3)

a)

5

b)

3

c)

-5

d)

-3

25.

Solve for x.


12 + x = 58

a)

x = 58

b)

x = 12

c)

x = 70

d)

x = 46

26.
What is the opposite of -8?
a)
-8
b)
0
c)
8
d)
1/8
27.
What is the GCF of 30 and 22
a)
330
b)
660
c)
2
d)
22
28.
What is the absolute value of | -7 |?
a)
-7
b)
7
c)
-7 and 7
29.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2 to 5
b)
5 to 3
c)
3 to 5
d)
5 to 2
30.
a)
a
b)
b
c)
c
d)
d
31.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
32.
It costs $8.22 for 3 candy bars.
How much does 1 candy bar cost?
a)
2.74
b)
0.36
c)
24.66
33.
In the fruit bowl there are 4 apples, 2 bananas, and 5 pears.  What is the ratio of pears to ALL fruit?
a)
5:4
b)
5:11
c)
2:5
d)
6:5
34.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
35.
3(6x-5)
a)
18x-15
b)
18x+-15
c)
9+15x
d)
9x-15
36.
Convert 3/5 into a decimal
a)
0.666
b)
0.6
c)
1.667
d)
3.5
37.
3(5x - 8)
a)
15x + 24
b)
15x - 8
c)
5x- 8
d)
15x - 24
38.
What is the GCF of 12 and 16? 
a)
4
b)
8
c)
12
d)
2
39.
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
40.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
41.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
42.
Evaluate when x = 8:
2x + x - 10
a)
34
b)
22
c)
14
d)
24
43.
Evaluate the expression when x = 3. 
2x2 - 5
a)
31
b)
12
c)
7
d)
13
44.
Express the percent as a decimal
8.9%
a)
89
b)
8.9
c)
.089
45.
simplify the expression
36a + 12 -6a -7
a)
5a + 30
b)
30a +5
c)
42a -5
d)
42a + 19
46.
Expand the expression
6(m + 4) + 3(m + 9)
a)
9m + 51
b)
3m + 13
c)
9m - 51
d)
3m -51
47.
Factor the expression
6a - 42
a)
6(a - 7)
b)
6(a + 7)
c)
2(3a - 21)
48.

5/8 divided by 3/4

a)

5/6

b)

15/32

c)

10/6

d)

6/5

49.

How would you write the following phrase as a expression?


7 more than a number

a)

7 x c

b)

7 divided by c

c)

c + 7

d)

7 - c

50.

Which shows 24 + 54 written using the distributive property?

a)

12 (2 + 4)

b)

6 ( 4 + 9)

c)

2 (12 + 27)

d)

3 ( 8 + 51)

51.

Simplify the expression using the distributive property.


9(4y - 7)

a)

36y + 63

b)

27y

c)

99y

d)

36y- 63

52.

Which point is located at (-2, -4)?

a)

G

b)

R

c)

T

d)

B

53.

Which point is located at (5,-1)?

a)

T

b)

B

c)

R

d)

K

54.

Find the unit rate.


294 miles every 14 gallons

a)

21 miles per gallon

b)

4,116 miles per gallon

c)

20 miles per gallon

d)

30 miles per gallon

55.

How would you write the following phrase as a number expression?


eight more than triple a number

a)

3n - 8

b)

8 + 3

c)

3n + 8

d)

11n

56.

Which statement represents the expression 3r - 5

a)

The product of 3 and a number less than 5

b)

5 minus the product of 3 and a number

c)

5 less than the product of 3 and a number

d)

The product of 3 and a number subtracted from 5

57.
What is the opposite of -8?
a)
-8
b)
0
c)
8
d)
1/8
58.

What is the area of the triangle?

a)

24cm³

b)

24cm²

c)

12cm²

d)

12cm³

59.

Express the percent as a decimal 37%

a)

.2

b)

3.7

c)

.37

d)

37

60.
Find the area.
a)
16 feet squared
b)
24 feet cubed
c)
24 feet squared
d)
32 feet squared
61.
What is the GCF of 12 and 16? 
a)
4
b)
8
c)
12
d)
2
62.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2 to 5
b)
5 to 3
c)
3 to 5
d)
5 to 2
63.
Write the ratio in simplest form
12:28
a)
3:7
b)
7:3
c)
6:4
d)
8:5
64.

Simplify the expression


36a + 12 -6a -7

a)

5a + 30

b)

30a +5

c)

42a -5

d)

42a + 19

65.
Round 3.465 to the hundredths place
a)
3.46
b)
3.47
c)
3.5
d)
3.465
66.
Find the area.
a)
28 square cm
b)
36 square cm
c)
40 square cm
d)
36 square feet
67.

Solve for x.


12 + x = 58

a)

x = 58

b)

x = 12

c)

x = 70

d)

x = 46