Free Printable 6th Grade Concepts

1.

345 / 6 =

a)

57

b)

57 R3

c)

58

d)

59 R3

2.

The dance committee had 1,036 flowers. They want to divide the flowers evenly among 28 centerpieces. How many flowers will be in each centerpiece?

a)

28 flowers

b)

34 flowers

c)

37 flowers

d)

40 flowers

3.

2 x 2 x 2 is the prime factorization of

a)

6

b)

12

c)

22

d)

8

4.

Use a factor tree to find the prime factorization of 105

a)

7x5x3

b)

11x5x3

c)

7x5x2x1

d)

7x5x3x2

5.

Use a factor tree to find the prime factorization of 32

a)

2x2x2x4

b)

2x2x2x2x2

c)

4x4x2

d)

2x2x2x2x1

6.

What is the LCM of 3 and 4?

a)

4

b)

16

c)

12

d)

24

7.

What is the LCM of 2, 4, and 9?

a)

18

b)

36

c)

27

d)

40

8.

What is the LCM of 7 and 8?

a)

7

b)

8

c)

42

d)

56

9.

What is the Greatest Common Factor of 12 and 48?

a)

6

b)

12

c)

4

d)

16

10.

What is the GCF of 8 and 24?

a)

1

b)

24

c)

8

d)

4

11.

GCF 15 and 36

a)

8

b)

6

c)

3

d)

4

12.

Susan ordered a kid’s drum set for $79.99 and a keyboard for $54.99 for her twin sons. How much did Susan spend in total on the musical instruments?

a)

$134.98

b)

$135

c)

$25

13.

Perry connects a blue garden hose and a green garden hose to make one long hose. The blue hose is 16.5 feet. The green hose is 14.75 feet. How long is the combined hose?

a)

31.25

b)

1.8

c)

1.12

14.

Hannah bought 3.4 pounds of apples. She paid $.89 per pound. How much did Hannah pay for the apples?

a)

$3.00

b)

$3.02

c)

$3.01

d)

$3.03

15.

Alessa bought 4.6m of fabric that cost $3.57 per meter. What was her total cost?

a)

$1.64

b)

$16.42

c)

$16.56

d)

$165.60

16.

Solve

12.3\div3=

a)

2.1

b)

41

c)

4.3

d)

4.1

17.

Solve

30.24\div7=

(a)

18.

Evaluate

6.2\div0.5=

a)

12.4

b)

10.4

c)

1.24

d)

1.2

19.

Fourteen boxes of candles were sold for $91.00. What is the cost of 1 box?

a)

$1.30

b)

$6.50

c)

$13.00

d)

$0.65

20.

6/7 divided by 3/7

a)

18/7 or 2 4/7

b)

2

c)

3/2 or 1 1/2

d)

1 2/7

21.

Compare 2/5 to 0.2

a)

<

b)

>

c)

=

22.

Order 5/8, 0.5, 58.3% from greatest to least.

a)

5/8, 0.5, 58.3%

b)

5/8, 58.3%, 0.5

c)

58.3%, 5/8, 0.5

d)

58.3%, 0.5, 5/8

23.

Compare 35% to 3/8

a)

<

b)

>

c)

=

24.

1/4 ÷ 5

a)

1/20

b)

1/9

c)

5/20

d)

1/4

25.

⅗ ÷ 4 =

a)

1/20

b)

3/20

c)

12

d)

12/20

26.

4 ÷ 1/4 =

a)

8

b)

1/8

c)

1/16

d)

16

27.

Mia saw 8 donuts. Three had sprinkles. What fraction had sprinkles?

a)

⅜

b)

⅝

c)

⅛

d)

⅞

28.

Will bought candy for his friends that weighed 7/8 pounds. If he split it up equally among himself and 4 other friends, how much candy did they each get?

a)

28/40

b)

21/40

c)

7/40

d)

3 4/8

29.

¹/₄ ÷ ¹/₂

a)

²/₆

b)

¹/₈

c)

³/₅

d)

²/₄

30.

What is the reciprocal of 2?

a)

-2

b)

1/2

c)

4

d)

0.2

31.

9 divided by 3/4 equals _____.

a)

36

b)

12

c)

14

d)

9

32.

Which is the greater integer?
7 or 1

a)

7

b)

1

33.

Which is the greater integer?
-4 or -6

a)

-4

b)

-6

34.

Use < or > to make the statement true:
3 _____ 8

a)

>

b)

<

35.

Lyrra had $120 in her account. She spent $200. By how much was her account overdrawn?

a)

$20

b)

$50

c)

$80

d)

$120

36.

What integer correctly describes 300 feet below sea level

a)

300

b)

-300

c)

30

d)

-30

37.

What integer correctly describes your bank account being credited $50?

a)

5

b)

-5

c)

50

d)

-50

38.

What integer correctly represents the puppy gained 5 pounds?

a)

5

b)

-5

c)

.5

d)

-.5

39.

What integer correctly represents a bonus of $150?

a)

150

b)

-150

c)

15

d)

-15

40.

Which integer listed is the greatest?

a)

-1

b)

1

c)

-2

d)

2

41.

Which list is in order of greatest to least?

a)

-5, -3, -1, 1, 3, 5

b)

5, 1, 3, -1, -5, -3

c)

1, 3, 5, -1, -3, -5

d)

5, 3, 1, -1, -3, -5

42.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

43.

Which is larger?

1/3 or 1/6

a)

1/3

b)

1/6

44.

Which picture shows 3/4?

a)

green

b)

blue

c)

purple

d)

pink

45.

Compare the Fractions in the picture:

a)

<

b)

>

c)

=

d)

+

46.

Which has the same absolute value as -55?

a)

0

b)

-1

c)

1

d)

55

47.

Is absolute value always positive?

a)

yes

b)

no

48.

|-20|

a)

20

b)

-20

49.

Which statement is true?

a)

The absolute value of 3 is -3

b)

The opposite of 7 is 7

c)

The absolute value of 5 is equal to the opposite of 5

d)

The opposite of -4 is equal to the absolute value of -4

50.

Compare |-5| to the |-10|

a)

|-5| > |-10|

b)

|-5| = |-10|

c)

|-5| < |-10|

51.

Use < , > or = to compare.

|-66| ____ |10|

a)

<

b)

>

c)

=

52.

Use < , > or = to compare.

|-95| ____ |-94|

a)

<

b)

>

c)

=

53.

Use < , > or = to compare.

80 ____ -34

a)

<

b)

>

c)

=

54.

Give the coordinates for POINT H.

a)

(-1, 2)

b)

(1, -2)

c)

(-1, -2)

d)

(1 , 2)

55.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

56.

Give the coordinates for POINT I.

a)

(-2, 5)

b)

(-2, -5)

c)

(2, 5)

d)

(2, -5)

57.

What is the ordered pair for point A?

a)

( 2, 0)

b)

( 0 , 2)

c)

(0, -2)

d)

(-2,0)

58.

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)
What is the length of the longest side of the rectangle?

a)

4 units

b)

5 units
5 units

c)

6 units

d)

8 units

59.

Points G, H, and I are plotted on the coordinate grid. How many units are between points G and H?

a)

9 units

b)

14 units

c)

13 units

d)

12 units

60.

What is the length of the shortest side of the rectangle?

a)

3 units

b)

4 units

c)

9 units

d)

2 units

61.

What is the distance between points (3, -5) and (3, -8)?

a)

1 unit

b)

2 units

c)

3 units

d)

4 units

62.

In the coordinate plane, what is the distance between (-3, 5) and (-3, -8)?

a)

3 units

b)

6 units

c)

8 units

d)

13 units

63.

Express the ratio as a fraction in simplest form:
18 ounces to 3 cups

a)

6 to 1

b)

1/6

c)

18/3

d)

3/18

64.

Simplify the ratio of
35 : 14

a)

5 : 2

b)

2 : 5

c)

3 : 1

d)

35: 14

65.

88 students for 4 classes
How many students per class?

a)

22 students per class

b)

22 classes per student

c)

25 students per class

d)

25 classes per student

66.

What is a Ratio?

a)

Is a comparison of two quantities

b)

A rate with a denominator of one

c)

It is when the only factor the numerator and denominator share is a one

d)

Two decimals that can be multiplied

67.

What is the ratio of flames to arms on the candle?

a)

3:2

b)

3:5

c)

11/10

68.

Mr. Keys made $90 in 5 hours. What is the unit rate?

a)

$18 per hour

b)

$1 in 18 hours

c)

$90:5h

d)

5 to 90

69.

The car travels 440 miles in 8 hours. What is the unit rate?

a)

12 miles in 1 hour

b)

55 miles in 1 hour

c)

110 miles in 1 hour

d)

44 miles in 1 hour

70.

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

71.

What was Brian's unit rate?

a)

3/2 word per minute

b)

30 minutes per word

c)

60 minutes per word

d)

30 words per minute

72.

Solve the proportion:

a)

4

b)

8

c)

14

d)

10

73.

a)

4:6

b)

4 to 6

c)

3:2

d)

2 to 6

74.

Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?

a)

$30

b)

$20

c)

$60

d)

$10

75.

Robby raises Holstein and Jersey cows on his farm in the ratio of 7 : 5. If he has a total of 48 cattle on his farm, how many Holstein cows and how many Jersey cows does he own?

a)

70 Holsteins and 50 Jerseys

b)

28 Holsteins and 20 Jerseys

c)

12 holsteins and 10 Jerseys

d)

21 Holsteins and 15 Jerseys

76.

Tomatoes and cucumbers were planted in a vegetable garden in the ratio of 4 : 1. If there are 14 cucumber plants, how many tomato plants are there?

a)

56

b)

14

c)

70

d)

6

77.

Ryan saved one part of his allowance and spent three parts of it to buy skins and emote dance moves on Fortnite. If saved $5, how much does he get in total for his allowance?

a)

$20.00

b)

$8.00

c)

$15.00

d)

$9.00

78.

The relationship between the number of hours traveled and the number of miles traveled on a family road trip is graphed here. What is the ratio of hours to miles in lowest terms?

a)

9 : 675

b)

75 : 1

c)

3 : 225

d)

1 : 75

79.

How many miles could the family travel

in a period of 12 hours?

a)

750 mi

b)

900 mi

c)

825 mi

d)

975 mi

80.

Which statement matches the graph?

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

81.

Which fraction is equivalent to 0.1?

a)

1/100

b)

1/10

c)

1/1000

d)

1/1

82.

What fraction of the grid is grey?

a)

15/100

b)

3/25

c)

12/25

83.

Write 3/5 as a percent.

a)

3%

b)

30%

c)

5%

d)

60%

84.

Write 93.01% as a decimal.

a)

9301

b)

0.9301

c)

9.301

d)

930.1

85.

Write the percent as a decimal:
135%

a)

13.5

b)

.0135

c)

0.135

d)

1.35

86.

Write 0.17 as a percent.

a)

1.7%

b)

17%

c)

.0017%

d)

170%

87.

Decimal to a Percent
0.5

a)

50%

b)

5%

c)

.5%

88.

Nicole wrapped 75% of the 48 presents being donated for charity. How many gifts did Nicole wrap?

a)

48

b)

100

c)

36

d)

75

89.

What is 87% of 55?

a)

47.85

b)

46.52

c)

87.5

d)

55.8

90.

What is 15% of 90?

a)

1.38

b)

13.8

c)

1.35

d)

13.5

91.

Find 3.5% of 125

a)

.4375

b)

43.75

c)

437.5

d)

4.375

92.

Find 17% of 23

a)

3.91

b)

.391

c)

39.1

d)

391

93.

What number is 5% of 60?

a)

300

b)

3

c)

.03

d)

.3

94.

What is 100% of 23?

a)

2.3

b)

.23

c)

2300

d)

23

95.

25 is 10% of what number?

a)

2.5

b)

25

c)

250

d)

.25

96.

20 is what percent of 20?

a)

1%

b)

100%

c)

40%

d)

400%

97.

9 is 15% of ____

a)

20

b)

40

c)

60

d)

90

98.

16 is 40% of ______

a)

40

b)

16

c)

32

d)

48

99.

7 feet = ___ inches

a)

144 inches

b)

49 inches

c)

84 inches

d)

19 inches

100.

12 ft= _____ yds

a)

36 yards

b)

12 yards

c)

4 yards

d)

7 yards

101.

45 ft= __________ inches

a)

450 inches

b)

540 inches

c)

5.4 inches

d)

4.5 inches

102.

How many yards are in 180 inches? (challenge question)

a)

36 yd

b)

36

c)

5 yd

d)

432 yd

103.

240 dm = ___________ m

a)

2400

b)

24

c)

2.4

d)

0.24

104.

330 cm = ___________ m

a)

3,300

b)

33

c)

3.3

d)

0.33

105.

How many pounds are in 1 ton?

a)

5,280

b)

36

c)

2,000

d)

100

106.

Convert: 128 ounces = _______pounds

a)

5

b)

6

c)

7

d)

8

107.

I am making macaroni and cheese. The recipe calls for 3 1/2 pounds of cheese. How many ounces of cheese do I need to buy at the grocery store?

a)

48

b)

16

c)

56

d)

32

108.

Which expression is equivalent to 3(n -6)?

a)

3n - 6

b)

n - 18

c)

3n - 18

d)

3n - 9

109.

Which equation is equivalent to 2(y + 11) ?

a)

2y + 22

b)

2y + 11

c)

2y + 13

d)

y + 22

110.

Evaluate 5³

a)

15

b)

25

c)

125

d)

0

111.

Select the values that are coefficient in the expressions 2x²+ x + 3

a)

3

b)

x² and x

c)

2

d)

2 and 1

112.

Select the values of the coefficients 5x - 4s + 12 - 2

a)

5x - 4s

b)

5 and -4

c)

12 and 2

d)

There are none

113.

What is the value of the expression 2x² - 5y + 3 when x=3 and y=3

a)

0

b)

30

c)

6

d)

-3

114.

Which expression is equivalent to 5 * 5 * 5 * 5 * 5 * 5

a)

5⁶

b)

6⁵

c)

5 + 5⁴

115.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

116.

Simplify the following expression:
3 + 5x + 8 - 2x

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

117.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

118.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

119.

Which expression is equivalent to $6x+24$ ?

a)

$6\left(x+24\right)$

b)

$6\left(x\right)+6\left(4\right)$

c)

$x\left(6+24\right)$

d)

$30x$

120.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

121.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

122.

Lucas made $87 after working for 4 hours. Write a multiplication equation to represent this situation.

a)

4h=87

b)

87h=4

c)

h/4=87

d)

h/87=4

123.

Which graph matches the inequality
k < 3?

a)

A

b)

B

c)

C

d)

D

124.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

125.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

126.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

127.

Which of the following choices are solutions to the inequality?

x > 4

SELECT ALL THE APPLY

a)

3

b)

4

c)

5

d)

6

128.

Which inequality represents:

He has more than 8 pets.

a)

X > 8

b)

X < 8

c)

X $\ge$ 8

d)

X $\le$ 8

129.

Write an equation that represents the relationship between the variables in the table.

a)

d=10t

b)

t=d-9

c)

t=10-d

d)

t=10d

130.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 0

131.

What is the area of a square with a length of 4 cm?

a)

16 cm

b)

16 square cm

c)

8 cm

d)

8 square cm

132.

What is the area of the parallelogram above?

a)

13 cm²

b)

28.5 cm²

c)

45.6 cm²

d)

40 cm²

133.

Area of triangle?

a)

17 units²

b)

20 units²

c)

10 units²

d)

16 units²

134.

Area

a)

12 in sq

b)

12 in

c)

24 in sq

d)

6 in sq

135.

What is the total length of the bases?

a)

26 cm

b)

34 cm

c)

36 cm

136.

What is the total length of the bases?

a)

10 in

b)

12 in

c)

14 in

137.

What is the area of this trapezoid?

a)

120 m²

b)

92 m²

c)

84 m²

138.

Find the area

a)

96 cm²

b)

48 cm²

c)

36 cm²

d)

48 cm

139.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

140.

What is the total surface area of the triangular prism shown?

a)

468 in²

b)

540 in²

c)

576 in²

d)

700 in²

141.

Find the total surface area of the prism.

a)

1,909,440 in²

b)

876 in²

c)

792 in²

d)

1,872 in²

142.

What is the minimum value?

a)

64

b)

58

c)

66

d)

60

143.

What is the maximum value?

a)

58

b)

66

c)

64

d)

60

144.

What value is the lower quartile?

a)

66

b)

58

c)

60

d)

64

145.

What is the median?

a)

62

b)

58

c)

66

d)

60

146.

What is the interquartile range (IQR)?

a)

4

b)

64

c)

60

d)

8

147.

Which box and whisker plot has the highest median?

a)

Top plot

b)

Bottom plot

148.

What type of graph is this?

a)

Bar Graph

b)

Histogram

c)

Line Plot

149.

Which interval has the greatest number of employees?

a)

11-21

b)

33-43

c)

77-87

d)

44-54

150.

How many cities have temperatures between 70 degrees and 99 degrees?

a)

44

b)

34

c)

26

d)

62

151.

What is an interval?

a)

A single number

b)

A range of numbers

c)

A percentage

d)

A total amount

152.

Each dot represents 1 day. How many days were recorded?

a)

9

b)

21

c)

20

d)

105

153.

What is the median of the data?

a)

105

b)

106

c)

104

d)

110

154.

What is the mode of the trout weight?

a)

450

b)

450.5

c)

452

d)

460

155.

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

a)

13

b)

12

c)

11

d)

10

156.

Find the mean of these numbers:
2, 57, 38, 42, 6

a)

29

b)

38

c)

50

d)

145

157.

Find the median of these numbers:
4,2,7,4,3

a)

2

b)

5

c)

7

d)

4

158.

Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34

a)

7

b)

23

c)

31

d)

34

159.

Determine the mean absolute deviation of the data.
9, 7, 11, 10, 8

a)

9

b)

6

c)

1.2

d)

5

160.

Which M.A.D. would show the most variability?

a)

.5

b)

1

c)

1.5

d)

2

161.

What is the mean of this data set?
6, 7, 2, 1, 5, 2, 1, 6

a)

24.75

b)

3

c)

3.7

d)

3.8

6th Grade Concepts

Total questions: 161

Worksheet time: 9hrs 16mins

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