Free Printable 6th Grade Math Year in Review

1.

What is the quotient of $\frac{\text{3}}{\text{4}}$ and $\frac{5}{6}$ ? Simplify your answer.

a)

9/10

b)

2/3

c)

7/8

d)

1/2

2.

What is the quotient of 15,048 and 76?

a)

200

b)

190

c)

205

d)

198

3.

Manuel spent $4.56 on a sandwich and $2.98 on a drink. How much did he spend in all? If he paid with a $10 bill, how much change did he get?

a)

$4.56 + $2.98 = $7.54 spent in total. $10 - $7.54 = $2.46 change.

b)

$4.56 + $2.98 = $7.54 spent in total. $10 - $7.54 = $1.46 change.

c)

$4.56 + $2.98 = $7.54 spent in total. $10 - $7.54 = $3.46 change.

d)

$4.56 + $2.98 = $8.54 spent in total. $10 - $8.54 = $1.46 change.

4.

Grapes cost $1.68 a pound. If you buy 2.5 pounds, how much will it cost?

a)

$3.50

b)

$4.20

c)

$5.80

d)

$2.10

5.

Jacob spent $15.30 on 6 candy bars. If each candy bar cost the same amount, how much does one candy bar cost?

a)

$2.55

b)

$3.00

c)

$2.25

d)

$1.50

6.

What is the GCF of 36 and 54?

a)

18

b)

45

c)

27

d)

12

7.

What is the LCM of 16 and 24?

a)

48

b)

56

c)

40

d)

32

8.

Compare each pair of numbers using <, > or =. -0.5 ___ $-\frac{1}{2}$

a)

<

b)

>

c)

=

9.

Compare each pair of numbers using <, > or =. -0.3 ___ -0.2

a)

<

b)

>

c)

=

10.

Compare each pair of numbers using <, > or =. 0.1 ___ -0.1

a)

<

b)

=

c)

>

11.

Compare each pair of numbers using <, > or =. $-\frac{4}{10}$ ___ $-\frac{4}{8}$

a)

<

b)

=

c)

>

12.

Compare each pair of numbers using <, > or =. $-\frac{3}{7}$ ___ $-\frac{2}{5}$

a)

<

b)

=

c)

>

13.

Compare each pair of numbers using <, > or =. 0.5 ___ -0.4

a)

<

b)

=

c)

>

14.

What is (-9,8) reflected over the x-axis?

a)

(-9,-8)

b)

(9,8)

c)

(9,-8)

d)

(-9,8)

15.

What is (-1,-3) reflected over the x-axis?

a)

(-1, -3)

b)

(-1, 3)

c)

(3, -1)

d)

(1, -3)

16.

What is (-10,10) reflected over the y-axis?

a)

(-10,10)

b)

(-10,-10)

c)

(10,-10)

d)

(10,10)

17.

What is (2,3) reflected over the y-axis?

a)

(3,-2)

b)

(-3,2)

c)

(-2,3)

d)

(2,-3)

18.

A seagull is flying 12 feet above the surface of the ocean. A dolphin is swimming 3 feet below the surface of the ocean. Which is closest to the surface of the ocean?

a)

Whale

b)

Seagull

c)

Dolphin

d)

Shark

19.

Compare each pair of numbers using <, > or =. -5 ___ 5

a)

<

b)

=

c)

>

20.

Compare each pair of numbers using <, > or =. -3 ___ -1

a)

<

b)

=

c)

>

21.

Compare each pair of numbers using <, > or =. -6 ___ -8

a)

<

b)

=

c)

>

22.

Compare each pair of numbers using <, > or =. -22 ___ -25

a)

<

b)

=

c)

>

23.

Compare each pair of numbers using <, > or =. -32 ___ -31

a)

<

b)

=

c)

>

24.

Compare each pair of numbers using <, > or =. -8 ___ -80

a)

<

b)

=

c)

>

25.

Which coordinate pair is in Quadrant III?

a)

(-6, -5)

b)

(9, 10)

c)

(-2, 3)

d)

(4,-7)

26.

At summer camp, each cabin has 2 counselors and 15 campers. Which is the correct ratio of counselors to campers?

a)

2:10

b)

3:15

c)

1:5

d)

4:30

27.

At summer camp, each cabin has 2 counselors and 15 campers. Write the ratio of campers to counselors in 3 different ways.

a)

15:2, 15/2, 7.5 to 1

b)

2:15, 2/15, 1 to 7.5

c)

15:2, 7.5/1, 15 to 2

d)

7.5:1, 15/2, 15 to 2

28.

At summer camp, each cabin has 2 counselors and 15 campers. Which is the correct ratio of campers to total people in the cabin?

a)

15:17

b)

$\frac{2}{17}$

c)

12 to 17

d)

2:15

29.

Max is mixing pink paint. The ratio of red paint to white paint is 4:1. If Max has 12 cups of red paint, how much white paint will he need?

a)

3 cups

b)

4 cups

c)

6 cups

d)

12 cups

30.

What are the value of a, b and c in the table below for Dogs and Cats?

a)

a = 50, b = 6, c = 33

b)

a = 15, b = 6, c = 33

c)

a = 3, b = 5, c = 7

d)

a = 5, b = 8, c = 33

31.

The ratio of daisies to roses in the garden is 2:7. If there are 117 flowers total, how many daisies are there? How many roses are there?

a)

There are 40 daisies and 77 roses.

b)

There are 20 daisies and 97 roses.

c)

There are 26 daisies and 91 roses.

d)

There are 30 daisies and 87 roses.

32.

Grocery Mart has juice boxes on sale 18 for $4.32. Food Shoppe has juice boxes on sale 20 for $4.60. Which store has the better buy?

a)

Grocery Mart

b)

Food Shoppe

c)

Both are the same

d)

Cannot determine

33.

Joey collects 100 seashells. 45% of them are pink. How many shells are pink?

a)

45

b)

55

c)

40

d)

50

34.

Joey collects 100 seashells. 45% of them are pink. How many are not pink?

a)

55

b)

45

c)

50

d)

60

35.

What is 45% as a fraction in simplest form?

a)

$\frac{11}{25}$

b)

$\frac{9}{20}$

c)

$\frac{7}{15}$

d)

$\frac{13}{30}$

36.

What is 45% as a decimal?

a)

0.67

b)

0.35

c)

0.54

d)

0.45

37.

There are 120 students in the 6th grade class. About 56% of them take band. How many students take band? Round your answer to the nearest whole number.

a)

67

b)

68

c)

69

d)

70

38.

Alyssa bakes cookies for the bake sale. 35% of the cookies are chocolate chip. If 56 of the cookies are chocolate chip, how many cookies did she bake in all?

a)

120

b)

160

c)

200

d)

240

39.

Find the area of the figure:

a)

13.2 square units

b)

43.4 square units

c)

63.2 square units

d)

40.2 square units

40.

Find the area of the figure:

a)

135 square units

b)

120 square units

c)

80 square units

d)

125 square units

41.

Find the area of the figure:

a)

155.3 square meters

b)

122.5 square meters

c)

140 square meters

d)

105 square meters

42.

Find the area of the figure:

a)

175 square meters

b)

300 square meters

c)

250 square meters

d)

350 square meters

43.

Find the volume of the figure:

a)

700 cubic meters

b)

600 cubic meters

c)

420 cubic meters

d)

450 cubic meters

44.

Find the volume of the figure (round to the nearest hundredth):

a)

3.94 cubic meters

b)

3.93 cubic meters

c)

3.53 cubic meters

d)

3.65 cubic meters

45.

Find the distance between (3,6) and (3,13).

a)

4

b)

7

c)

10

d)

2

46.

Find the surface area of this figure.

a)

768 square meters

b)

384 square meters

c)

352 square meters

d)

176 square meters

47.

Find the surface area of the figure.

a)

112 square feet

b)

176 square feet

c)

198 square feet

d)

276 square feet

48.

Find the surface area of the square pyramid.

a)

768 square meters

b)

528 square meters

c)

825 square meters

d)

1115 square meters

49.

Evaluate: $\left(6-3\right)^3-3+4\times5$

a)

35

b)

44

c)

27

d)

52

50.

Which of these algebraic expressions has at least 3 terms, with variables x and y, with coefficients -3 and 5 and a constant of 4.

a)

-3x - 5y + 4

b)

3x + 5y + 4

c)

-3x + 5y + 4

d)

-3x + 5y - 4

51.

Write an algebraic expression:
Four more than a number g

a)

g - 4

b)

4 - g

c)

g + 4

d)

g * 4

52.

Write an algebraic expression:
A number, g, splits into 5 equal groups.

a)

$\frac{g}{5}$

b)

$\frac{5}{g}$

c)

g-5

d)

$g\cdot5$

53.

Write an algebraic expression:
The product of $\frac{1}{2}$ and a number, g.

a)

$\frac{1}{3\ }g$

b)

$\frac{1}{2}g$

c)

$\frac{3}{2}g$

d)

$\frac{2}{3}g$

54.

Write an algebraic expression:
7 less than a number, g.

a)

g + 7

b)

7 - g

c)

$\frac{g}{7}$

d)

g - 7

55.

Write word phrase of the algebraic expression:
$t+5$

a)

5 less than t

b)

The product of 5 and t

c)

The quatient of 5 and t.

d)

t increased by 5

56.

Which word phrase matches this algebraic expression?

$2\cdot t$

a)

double t

b)

twice t

c)

t less than 2

d)

t greater than 2

57.

Which word phrase matches the algebraic expression?
$3+t^2$

a)

t squared plus 3 squared

b)

three plus t

c)

three more than t squared

d)

3 times t squared

58.

Which word phrase matches the algebraic expression?
$\frac{t}{6}$

a)

The quotient of 6 and t.

b)

The quotient of t and 6.

c)

6 less than t.

d)

The product of t and 6.

59.

Simplify the expression:
$x+x+x$

a)

$\frac{x}{3}$

b)

3x

c)

x³

d)

$\frac{3}{x}$

60.

Simplify the expression:
$y+y+x$

a)

2y + x

b)

3x

c)

y²+ x

d)

$\frac{2y}{x}$

61.

Simplify the expression:
3x + 8x

a)

5x

b)

10x

c)

12x

d)

11x

62.

Simplify the expression:
$y\cdot y\cdot y$

a)

y³

b)

3y

c)

y+y+y

d)

$\frac{y^3}{3}$

63.

Simplify the expression using distributive property:
5(3x - 5y)

a)

15x - 5y

b)

15x - 25y

c)

5x - 25y

d)

15x - 25

64.

Write an equation for the situation:
Marilyn bought lunch 5 days last week. Each lunch cost d dollars. She spent $30 total. Write an equation that can be solved to find the cost of one lunch.

a)

5d = 30,
d = 6

b)

5 - d = 30,
d = -25

c)

30d = 5,
d = 1/6

d)

d + 5 = 30,
d = 25

65.

Find the solution:

4m = 60

a)

m = 10

b)

m = 20

c)

m = 25

d)

m = 15

66.

Solve the equation:
x - 4.6 = 19.2

a)

x = 15.2

b)

x = 20.8

c)

x = 25.6

d)

x = 23.8

67.

Solve the equation:
$\frac{y}{14}=18$

a)

y = 122

b)

y = 142

c)

y = 212

d)

y = 252

68.

Write an inequality:
Jimmy brings at least $6 for lunch

a)

$x\ge6$

b)

x = 6

c)

x > 6

d)

x < 6

69.

Write an inequality:
Hailey has no more than 20 minutes of homework.

a)

x ≤ 20

b)

x > 20

c)

x = 20

d)

x < 20

70.

Write an inequality:
Corey has at most 3 basketball practices this week.

a)

x > 3

b)

x = 3

c)

x < 3

d)

$x\le3$

71.

Write the inequality for the graph:

a)

$x\le-8$

b)

$x\ge-8$

c)

x > -8

d)

x < -8

72.

Write the inequality of the graph:

a)

$x<-2$

b)

$x\ge-2$

c)

$x>-2$

d)

$x\le-2$

73.

Write the inequality for the graph:

a)

$x\le3$

b)

$x<3$

c)

$x\ge3$

d)

$x>3$

74.

Solve the inequlity:
y + 5 > 29

a)

y > 24

b)

y = 24

c)

y < 30

d)

y > 20

75.

Solve the inequality:
$4x\le10$

a)

x < 2.5

b)

x ≤ 2.5

c)

x = 2.5

d)

x > 2.5

76.

Describe the shape of the distribution.

a)

The data is left skewed.

b)

The data is normal distribution.

c)

The data is right skewed.

d)

The data does not have a mean.

77.

Find the mean of the data set:
15, 16, 22, 54, 3

a)

22

b)

12

c)

25

d)

18

78.

Find the median of the data set:
20, 30, 1, 15, 18, 29

a)

12

b)

22

c)

19

d)

18

79.

Find the mode of the data set:
24, 25, 25, 24, 26, 29, 30, 25, 24, 26, 25

a)

24

b)

25

c)

26

d)

29

80.

Find the range of the data set:
0.1, 0.4, 0.25, 2.25, 2.3, 0.008

a)

2.292

b)

3.092

c)

1.892

d)

0.592

81.

Find the IQR of the data set:
4, 6, 8, 2, 3, 4, 5

a)

1

b)

7

c)

10

d)

3

82.

Find the MAD of the data set:
1, 5, 3, 2, 4

a)

1.2

b)

3.2

c)

1.8

d)

2.5

83.

If a rectangle has a length of 10 meters and a width of 5 meters, what is its perimeter?

a)

30 meters

b)

50 meters

c)

20 meters

d)

15 meters

84.

What is the value of $5^3$ ?

a)

15

b)

125

c)

25

d)

50

85.

If you divide 42 by a number and get 7, what is the number?

a)

6

b)

7

c)

5

d)

35

6th Grade Math Year in Review

Total questions: 85

Worksheet time: 4hrs 5mins

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