Free Printable 6th grade math review

1.

What is the definition of an integer

a)

All positive and negative whole numbers including zero

b)

Decimals or fractions that terminate for repeat

c)

All positive whole numbers

d)

0

2.

-(12) =

a)

12

b)

-12

c)

0

d)

1/12

3.

What is true about opposites?

a)

They are on the same side of zero

b)

They are the same distance away from zero.

c)

They are not really opposites

4.

|14| =

a)

14

b)

21

c)

33

d)

-14

5.

- |55| =

a)

45

b)

55

c)

-55

6.

Order the numbers from least to greatest.
-2, I8I, 5, I-10I, 6

a)

-2, I8I, 5, I-10I, 6

b)

-2, 5, 6, I8I, I-10I

c)

-2, 5, 6, 8, 10

d)

I-10I, -2, 5, 6. I8I

7.

Is absolute value always positive?

a)

yes

b)

no

8.

91.55 + 7.6=

a)

99.15

b)

98.15

c)

99.10

d)

98.1

9.

Which is less and why? -5 or -6

a)

-6 because 6 is less than 5

b)

-6 because it is farther to the right on the number line

c)

-6 because it is farther to the left on the number line

10.

Which integer below can represent a deposit of $220?

a)

-220

b)

220

c)

-200

d)

200

11.

Which situation could the integer -50 represent?

a)

An increase of $50 in a bank account

b)

The temperature on a warm spring day

c)

The distance driven on the way to the beach

d)

A decrease of 50 employees

12.

Simplify if necessary

\frac{1}{8}\times\frac{3}{5}

a)

$\frac{3}{40}$

b)

$\frac{4}{40}$

c)

$\frac{3}{5}$

d)

$\frac{5}{24}$

13.

2 - 0.43 =

a)

0.45

b)

1.57

c)

0.41

d)

2.43

14.

Compare these Integers using the symbols:
< > =
| -4 | _____ 4

a)

<

b)

>

c)

=

15.

Which rational number represents a loss of 5 points on the stock market?

a)

-5

b)

1/5

c)

0

d)

5

16.

My friend and I went scuba diving. I dove to a depth of 30 feet while my friend stayed at the surface. Which integers represent our location?

a)

Me (0) My friend (30)

b)

Me (-30) My friend (0)

c)

Me (30) My friend (0)

d)

Me (30) My friend (-30)

17.

A plane is flying at an elevation of 15,281 feet above sea level. What would zero represent in this situation?

a)

The elevation of sea level.

b)

The elevation of the plane.

c)

The elevation of the location where the plane took off.

d)

The lowest point the plane will fly at.

18.

Explain the meaning of zero. The child was 5 inches above normal on the growth chart.

a)

Normal range on the growth chart

b)

The child is tall.

c)

The child is not tall.

d)

The child is growing fast.

19.

What is the opposite of the opposite of 2?

a)

2

b)

-2

c)

0

d)

1

20.

How do you know that 5 and -5 are opposites?

a)

Because they both have a 5

b)

They are the same distance from 0, but on opposite sides of 0

c)

Because they are the same

d)

They both are on a number line

21.

.75

a)

3/6

b)

3/4

c)

2/6

d)

1/4

22.

What fraction is represented at point B?

a)

4/10

b)

4/11

c)

5/11

d)

5/10

23.

What is 4/9 as a decimal?

a)

2.25

b)

.444

c)

.49

d)

.94

24.

Which decimal number is equivalent to 12/100?

a)

0.012

b)

0.12

c)

1.2

d)

12

25.

Write the fraction as a decimal.
5 2/10

a)

52/10

b)

5.210

c)

5.2

d)

5.02

26.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

27.

Which equation matches the table?

a)

y = x

b)

y = 5x

c)

y = x - 4

d)

y = x + 4

28.

Which equation matches the table?

a)

y = -2 + x

b)

y = x + 3

c)

y = x - 3

d)

y = x - 2

29.

What is the area?

a)

12 cm²

b)

14

c)

14 cm²

d)

24 cm²

30.

Find the area of this triangle.

a)

150 ft²

b)

100 ft²

c)

50 ft²

d)

35 ft²

31.

Area

a)

12 inches

b)

12 square inches

c)

24 square inches

d)

6 square inches

32.

Which description represents the area of a parallelogram?

a)

The product of the length (base) and the height

b)

The sum of all of the side lengths

c)

The square of the side lengths

d)

Four times the length

33.

Find the area.

a)

60 in

b)

60 in²

c)

50 in

d)

50 in²

34.

Find the area of the figure.

a)

25 yd²

b)

20 yd²

c)

30yd²

d)

25.5yd²

35.

Find the area of the figure.

a)

10 cm²

b)

24 cm²

c)

12 cm²

d)

20 cm²

36.

X²can be combined with X

a)

True

b)

False

37.

Simplify the Expression:

3a + 7 - 2a

a)

8a

b)

12a

c)

a + 7

d)

5a + 7

38.

x²can be combined with 2x²

a)

True

b)

False

39.

Simplify the expression:

3x²- x + 7 + 5x + 2 - 2x²

a)

x²+ 4x + 9

b)

5x²+ 9

c)

15

d)

15x

40.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

41.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

42.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

43.

Which sentence represents m > 41?

a)

Mary’s points, m, totaled more than 41

b)

Calvin ran no less than 41 miles, m

c)

The temperature, m, was less than 41°F

d)

The magazines’ cost, m, was not more than $41.

44.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

45.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

46.

The product of x and 7 is not greater than 10

a)

7x >10

b)

7x ≤ 10

c)

7 + x < 10

d)

⁷ / _x < 10

47.

Identify the 3D shape shown

a)

Cone

b)

Cylinder

c)

Sphere

d)

pyramid

48.

Identify the 3D shape shown

a)

cone

b)

sphere

c)

cylinder

d)

rectangle

49.

Identify the 3D shape shown

a)

Cylinder

b)

Square Pyramid

c)

Rectangular Prism

50.

Identify the 3D shape shown

a)

Sphere

b)

Cone

c)

Cylinder

51.

Identify the shape shown

a)

Square prism

b)

Cube

c)

cylinder

52.

Which net would make the 3D Shape shown

a)

b)

c)

d)

53.

(6+3)2² [( ) and # mean to multiply]

a)

36

b)

18

c)

12

d)

72

54.

6 + (4²-1) [ remember 4 x 4]

a)

21

b)

13

c)

99

d)

22

55.

(8÷2)x(6²-3³)

a)

36

b)

108

c)

30

d)

100

56.

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

57.

Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?

a)

$50 per hour

b)

$12 per hour

c)

$192 per hour

d)

$25 per hour

58.

Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?

a)

$7 per hour

b)

$6 per hour

c)

$6.80 per hour

d)

$17.40 per hour

59.

-2 + 4

a)

-2

b)

2

c)

0

d)

-4

60.

-9 + (-5)

a)

-14

b)

14

c)

-4

61.

-7 - 2

a)

-9

b)

9

c)

5

d)

-5

62.

0 - 5

a)

-5

b)

5

c)

0

d)

10

63.

What decimal is equivalent to 3/4?

a)

0.34

b)

3.4

c)

0.75

d)

4/3

64.

What decimal is equivalent to 1/10?

a)

0.1

b)

10.1

c)

1.10

d)

10

65.

What decimal is equivalent to 1/2?

a)

0.5

b)

0.12

c)

1.2

d)

0.4

66.

150 in = ________ ft ___________in

a)

12 ft 6 in

b)

12 ft 1 in

c)

10 ft

d)

15 ft 3 in

67.

Tony has 7 gallons of paint. He uses 10 quarts to paint his 4-wheeler and 3 gallons to paint the garage. How many pints of paint does he have left?

a)

12 pints

b)

3 gallons and 2 quarts

c)

6 quarts

d)

16 pints

68.

48 inches = _______ feet

a)

16

b)

1 1/2

c)

4

d)

144

69.

An elevator has a weight limit of 1 ton. There are 3 people inside the elevator. Each person weighs 150 pounds. How many more pounds can the elevator safely hold?

a)

1,850 pounds

b)

1,550pounds

c)

850 pounds

d)

450 pounds

70.

6 x 2 =

a)

12

b)

24

c)

30

d)

62

71.

9x8

a)

72

b)

81

72.

2x2

a)

4

b)

6

73.

9x9

a)

81

b)

72

74.

56 ÷ 8

a)

5

b)

6

c)

8

d)

7

75.

Find the quotient of 35 ÷ 7.

a)

5

b)

6

c)

7

d)

8

76.

10.452+6.3=

(a)

77.

What is the distance between 2 and -4 on a number line or graph?

a)

2

b)

6

c)

-2

d)

-6

78.

If $521\cdot73=38,033$ then what is the product of $5.21\cdot7.3$ ?

(a)

79.

$X\div\frac{3}{7}=\frac{7}{15}$ what is X?

a)

Since a dividend divided by a divisor is equal to that quotient multiplied by the divisor, X= $\frac{1}{5}$

b)

Since a dividend divided by a divisor is equal to that quotient multiplied by the divisor, X= $\frac{7}{3}$

c)

Since a dividend divided by a divisor is equal to that quotient multiplied by the divisor, X= $2\ \frac{1}{3}$

d)

Since when you divide the divisor by the quotient you get $\frac{49}{45}$ the answer is $1\ \frac{4}{45}$

80.

When Tina was asked how many $\frac{2}{5}$ lb servings there were in a $4\ \frac{2}{5}$ lb fish, she said 11. Was she correct?

a)

Yes, $4\ \frac{2}{5}\ \cdot\ \frac{2}{5}=11$

b)

Yes, $4\ \frac{2}{5}\div\frac{2}{5}=11$

c)

No, $4\ \frac{2}{5}\div\frac{2}{5}=1\ \frac{19}{25}$

d)

No, $4\ \frac{2}{5}\cdot\frac{2}{5}=4\ \frac{4}{25}$

81.

$68,302\div1,000$

(a)

82.

On a number line -43 is to the left of -35. enter an inequality to represent that (use $<,=,>,\le,\ or\ \ge\ between\ the\ 2\ numbers$ )

(a)

83.

If $\frac{1}{2}$ of a cake is divided equally among 6 people, what fraction of the cake does each get?

a)

$\frac{1}{12}$

b)

$\frac{1}{6}$

c)

$\frac{1}{3}$

d)

$\frac{2}{3}$

84.

What is the LCM of 10 & 12?

(a)

85.

What is the GCF of 10 & 12?

(a)

86.

26.02-5.348=

(a)

87.

If a bottle of lemonade is $\frac{1}{2}$ full, and a serving is $\frac{1}{8}$ of a bottle, how many servings are in the half full bottle?

(a)

88.

Which situations would you describe with a negative integer?

a)

an airplane flying at an altitude of 30,000 feet

b)

a deposit of $50 into a saving account

c)

a temperature of $30\degree F$

d)

a submarine cruising at 100 feet below sea level

89.

Which is the opposite of -17?

a)

71

b)

17

c)

-17

d)

-71

90.

Which is equivalent to |-50|?

a)

-50

b)

-5

c)

5

d)

50

91.

Which expression is equivalent to 16 + 56?

a)

2(14 + 54)

b)

4(4 + 12)

c)

7(2 + 8)

d)

8(2 + 7)

92.

If the numbers below were ordered from least to greatest, which number could you use to replace the missing place?

a)

0.45

b)

0.6

c)

$\frac{7}{8}$

d)

0.95

93.

Which shows how you can check that $\frac{3}{4}\div\frac{5}{6}=\frac{9}{10}$ ?

a)

$\frac{9}{10}\div\frac{5}{6}=\frac{3}{4}$

b)

$\frac{9}{10}\div\frac{3}{4}=\frac{5}{6}$

c)

$\frac{5}{6}\times\frac{9}{10}=\frac{3}{4}$

d)

$\frac{6}{5}\times\frac{9}{10}=\frac{3}{4}$

94.

What is the value of (3 ×4) − (4 + 2 )?

a)

14

b)

24

c)

6

d)

40

95.

Which statement indicates –5 is located to the right of –9 on a numberline?

a)

-5 > -9

b)

-5 < -9

c)

-5 ≤ -9

d)

-5 ≠ -9

96.

Sam's bank account balance on Monday was $8. On Tuesday, his account balance was -$2. How much money did Sam withdraw from his account between Monday and Tuesday?

a)

$2

b)

$6

c)

$8

d)

$10

6th grade math review

Total questions: 96

Worksheet time: 10hrs 57mins

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