practice 5th grade math - ms. howell's 4th grade...

5th Grade MathPractice

Have your kid go over some of the important ideas covered in 5th grademath. After she's mastered these concepts, she'll be ready to tackle math

in middle school.

Table of ContentsDivision Duplication: 5th Grade

Solve a Division RiddleDividing Decimals

Division Coloring PageSolve for X

Order of Operations Practice #1Order of Operations Practice #2

Finding the Average: Mean, Median, and ModeDetermine Mean

It's Freezing! Practice Finding ModeWhat's the Range?

Building Exponents: Squares, Cubes, and RootsMultiplying with Exponents

Multiplying Numbers with ExponentsPower Play: Dividing with Exponents

Geometry Review: Angles and PolygonsFind the Surface Area: Rectangular Prism

Find the Surface Area: CubeMystery Picture Graph #1Mystery Picture Graph #2Mystery Picture Graph #3How to Order Decimals

Ordering Decimals PracticeCross-Multiplication

4,5666

8,37111

4,0902

12,2706

2,0605

3,7089

2,34012

7804

1,2183

4,72861,5762

13,16773,76223,2488

Division Duplication

Copyright 2008-2009 Education.com www.education.com/worksheetscreated by:

Key

5th

GradeThere are 7 pairs of matching cards. Solve the equations then draw a line between symbols with the matching answers in the key below.

More worksheets at www.education.com/worksheetsCopyright © 2010-2011 by Education.comCopyright © 2013-2014 by Education.com

Solve each problem below by dividing. Use the letter key to solve the riddle.

Letter Key

Where did Louie the dog purchase his shiny new collar?

At a store called...

10 850 36 432 45 720 24 384 15 255

11 935 13 403 18 216 19 399

85 = D

12 = O

16 = G

17 = Y

31 = I

21 = R

Copyright © 2011-2012 by Education.com More worksheets at www.education.com/worksheets

Delicious Decimals

Solve the problems by adding each set of decimals. Don’t forget to make the divisor a whole number.

1. 77.3 522.1

770 .0-3 .53 .5

0

3.5 .. 2. 60.6630 3. 20.0764.2

4. 47.0585.06 5. 24.367 6. 3.7872.08

7. 82.1528.4 8. 9.2053.5 9. 56.5886.02

10. 84.610 11. 22.1047.2 12. 41.3915.67

Copyright @ 2011-2012 by Education.com

Cupcake Math

Note: More worksheets at www.education.com/worksheets

Instructions:Complete each math problem and color the page!


Owl Math




Circus Math




Duck Math




Finding the Average: Mean, Median, and ModeIn statistics, there are three kinds of averages: mean, median, and mode.

Example

For each problem below, find the mean, median, and mode.

-MEAN: The mean of a group of numbers is the average of the numbers.

-MEDIAN:

-MODE: The mode of a group of numbers is the number that appears most often.

The median of a group of numbers is the number that is exactly in the middle when the numbers are arranged numerically. Note: For even sets of numbers, take the average of the middle two numbers.

Soccer Goals

5 12 19 11 15 32 18 5 3

MEAN: Add all the numbers together (3+5+5+11+12+15+18+19+32=120) then divide (120) by the number of numbers added together (9), so 120 ÷ 9 = 20.MEDIAN: In this example, the number in the middle is 12.MODE: In this example, the number that reoccurs the most is 5.

Before you do any computing, you should always write the numbers in numerical order, from smallest to largest:

3 5 5 11 12 15 18 19 32

Basketball Points

11 15 16 16 21 5 9

Touchdowns

10 7 9 15 14 12 11 9

1. Mean: __________________

Median: ________________

Mode: __________________

2. Mean: __________________

Median: ________________

Mode: __________________

Golf Scores

61 68 75 72 68 79

Wrestling Wins

5 7 13 24 16 22 13 7 6

3. Mean: __________________

Median: ________________

Mode: __________________

4. Mean: __________________

Median: ________________

Mode: __________________

Boxing Wins

24 16 23 16 15 35 19

Volleyball Wins

7 14 11 12 11 20 8 5 10

5. Mean: __________________

Median: ________________

Mode: __________________

6. Mean: __________________

Median: ________________

Mode: __________________

More worksheets at www.education.com/worksheetsCopyright © 2010-2011 by Education.com

Shooting Score! Here are the shooting scores of the players on the Rockets and the players on the Jaguars. Find outthe mean shooting scores of each team.

5th

Grade

Practice Finding Mean

Mean is the average of a data set.It can be found by �nding the sum of the set, then dividing by the number of data points.

Example: There is a data set of 1, 4, 3, 2, 6, and 2. The sum is 1 + 4 + 3 + 6 + 2+2 = 18.The number of data points is 6. Therefore, the mean is 18/6 = 3

The team with the best score based on the mean is _____________________

Julie

Mikey

Sally

Stephanie

Adam

Peter

Shaun

Martin

Christine

Kimmy

15

20

20

18

14

12

15

20

17

12

17

17

18

18

10

20

20

12

20

12

Student Name Shooting Score Shooting Score

The Rockets

Patrick

Ron

Brian

Joe

Rita

Ann

Joseph

Erika

April

Bill

Student Name

The Jaguars


It’s Freezing! Mary recorded the temperature at the Southpole during periods of time in December, January, andFebruary. Find the mode of each set of temperatures. Don’t forget to show your work.

5th

GradePractice Finding Mode

The mode of a data set means the number that occurs most often.It can be found by ordering each data set from lowest to highest, then seeing whichnumber occurs most frequently.

1. Write the numbers in order = 1, 1, 2, 4, 4, 6, 82. Find the numbers that appear most often = 1 (twice) and 4 (twice).

Therefore, the modes of this data set are 1 and 4.

Example: The data set is 8, 6, 1, 4, 1, 4, 2

December

January

February

Record for 10 days

Record for 15 days

Record for 20 days

Mode =___________

Mode =___________

Mode =___________

0, -4, 1, -2, -3, -4, 0, 2, -5, -4

-3, -5, 2, -2, -5, -4, 2, 7, -5, -3, -2, 2, 1, 3, 0

5, 7, 2, -1, 8, 4, -3, 0, 5, -1, 7, 2, 5, 1, -10, 2, 1, 0, -2, -4


Find the range of each data set. Don’t forget to show your work.

5th

GradeWhat’s the Range?The range of a data set is the di�erence between the highest and lowest values in the set. Range can be found by ordering the data from least to greatest value, then subtracting the lowest value from the highest value in the set.

1. Write them in order = 10, 11, 12, 12, 14, 15 2. Find the highest value = 15. 3. Find the lowest value = 10. 4. Subtract 10 from 15 = 5. 5. The range of this data set is 5.

Example: The data set is: 12, 11, 15, 12, 10, 14.

The price range of bicycles =___________

The range of the weights Tommy lifted =___________

The range of temperature in Cambridge, MA =___________

$155$148

$150

$182

$183

$179

20 lbs.

22 lbs.

25 lbs.

27 lbs.

24 lbs.

28 lbs.

19 lbs.

22 lbs.

24 lbs.23 lbs.

50

54

56

45 43

55

41

Pretend you’re shopping for a bicycle. What is the range of prices?

Tommy lifted many di�erent kinds of weights. What is the range of weights he lifted?

Lloyd recorded the daily temperature in Cambridge, MA for one week. What is the rangeof temperatures? F

F

F

FF

F

F


Squares, Cubes, and RootsSquares, cubes, square roots, and cube roots may seem like difficult math problems at

first, but once you learn how to solve them, you will find that they are both easy and fun!

- The square of a number is the number times itself.- The square root of a number is a number that can be multiplied by itself to give the original number. It is the inverse operation of squaring a number.- The cube of a number is the number multiplied by itself twice.- The cube root of a number is, a value that when cubed, gives the original number. It is the inverse operation of cubing a number.

Examples

Square: 5 = 5 x 5 = 25

Cube: 5 = 5 x 5 x 5 = 1253

2Square Root: 25 = 5 (5x5=25)

Cube Root: 125 = 5 (5x5x5=125)3

Write the square or cube of each number.

Write the square root of each number.

Write the cube root of each number.

1) 64 = ______3

2) 1 = ______3

3) 125 = ______3

4)

5)

216 = ______

8 = ______

3

3

6) 1,728 = _____3

7) 343 = _____3

8) 0 = ______3

9) 729 = _____3

3

2

1)

2)

3)

16 = ______

9 = ______

25 = ______

4)

5)

6)

81 = ______

1 = ______

4 = ______

7)

8)

9)

49 = ______

36 = ______

100 = ______

1)

2)

3)

4)

5)

6)

7)

8)

9)

______

______

______

______

______

______

______

______

______

4 =

6 =

5 =

3 =

13 =

9 =

2 =

48 =

7 =

2

2

2

2

2

3

3

3

3

MathAlgebra


Multiplying with Exponents

45

52

53

5(2 + 3)

45

45

exponent

base

An exponent is the simplest way to show how many times a number is multiplied by itself.

Example:

Example:

4 x 4 x 4 x 4 x 4

The number 4 is multiplied by itself 5 times.

We can write

We know that

Therefore,

Or we can use this formulaif the bases are the same number.

where A represents a number

= 4 x 4 x 4 x 4 x 4

= 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4

43

= 4 x 4 x 4

Multiplying numbers with exponents

Exponent is the number of times the base number is multiplied

Base is the number

Rewrite the expressions. See the example.

Now, �nd the value of the expressions below. See the example.

x 43

Amx A

nA

(m + n)=

45x 4

3

x = 55

= 71

71

x =

34

32

x = 45

42

x =

65

64

x =

=

29

28

x =

2 2 x 2 x 2 x 2 x 2 = 32(2 + 3)

=1(8 + 5)

=3(1 + 4)

MathAlgebra


Power Play: Multiplying With Exponents

45

(4 )2 3

(3 )2 2 4

(4 )2

4 6

3

(A )m n

(4 ) x 2 (4 ) x 2

exponent

base


Example:

Example:

4 x 4 x 4 x 4 x 4


We can write

We can write



When the exponent is raised to the power, we multiply the exponent and the power.


Base is the number


Fill in the missing numbers.

A(m x n)

=

2 88

(3 )3

= = (4 x 4) x (4 x 4) x (4 x 4) = 4 x 4 x 4 x 4 x 4 x 4

4 x 4 x 4 x 4 x 4 x 4 =

(4 ) 2

(3 ) x 2 (3 )2= 3= (3 x 3) x (3 x 3) =

(2 )2 4=

=

=

=

27=

( ) x ( ) x ( ) x ( )

( x ) x ( x ) x ( x ) x ( x )

(5 )1

25=

(2 )2

16=

MathAlgebra


Dividing with Exponents

45

6(4 - 2)

45

exponent

base


Example:

Example:

4 x 4 x 4 x 4 x 4


We can write

We know that and

Therefore,

Now cancel out all the equal valuein the numerator and the denominator.



= 4 x 4 x 4 x 4 x 4 43

= 4 x 4 x 4

4 x 4 x 4

Dividing numbers with exponents


Base is the number


Fill in the missing numbers.

Am

An A

(m - n)=

= 62

=

45

43

45

43

64

62

=37

33

68

6(8 )

62

=

=

75

74

=87

82

=46

44

=59

55

4 x 4 x 4 x 4 x 4=

42

= 4 x 4 = 4 x 4 x 4

4 x 4 x 4 x 4 x 4

26

=2(6 4) =3

(7 4)


Use the picture below to answer the following questions.

1. How many right angles are there?

2. How many obtuse angles are there?

3. How many acute angles are there?

4. How many equilateral triangles are there?

5. How many isosceles triangles are there?

6. How many scalene triangles are there?

_________________________

_________________________

_________________________

_________________________

_________________________

_________________________

Name each polygon below on the lines provided.

1. ___________ 2. ___________ 3. ___________

4. ___________ 5. ___________ 6. ___________

7. ___________ 8. ___________


MathGeometry A rectangular prism has six faces. Each face is a rectangle. There are three pairs of

identical faces. Find the surface area of each rectangular prism. See the example.

Surface Area: A Rectangular Prism

1. Find the area of each pair:

Area of a rectangle = length x width

2. Add the area of each face altogether:

Therefore, the surface area of this cube is 220 sq. inches.

Surface area = 20 + 20 + 40 + 40 + 50 + 50 = 220

5

10

5

4

4

12

5

8

9

7

10

5

4

10

4

10

4

10

5

10

5

4 x 5 = 20

Pair 1 Pair 2 Pair 3

4 x 5 = 20 4 x 10 = 40 4 x 10 = 40 5 x 10 = 50 5 x 10 = 50

Now, follow these steps to try 2 on your own.


MathGeometry

A cube has six faces. Each face is an identical square.Find the surface area of each cube. See the example.

Now, follow these steps to try 2 on your own.

Surface Area: A Cube

A cube has 5-inch sides.

1. Find the area of one face:

Area of a square = length x length

= 5 x 5

= 25 x 6

= 150

Therefore, the surface area of this cube is 150 sq. inches.

= 25

The area of each face is 25 square inches.

2. Find the surface area:

The cube has 6 faces and each face is 25 sq. inches.

Surface area = area of each face x number of face

5

5

5

6

6

6

10

10

10

16,30

16,27

15,24

17,24

16,27

15,24

15,9

17,9

17,24

15,23

14,23

14,21

17,23

18,23

18,21

13,9

12,9

12,1

19,9

20,9

20,1

10,1

10,5

12,5

22,1

22,5

20,5

17,1

17,7

20,7

15,1

15,7

12,7

Drawing On The Grid : Big CityDraw an unbroken line between each point listed, when you see the red X lift up your pencil and start a new line. Once you have finished the drawing write down what you think it is and what city it’s in.

1,5

3,5

3,4

6,4

6,6

7,7

8,6

8,3

10,3

22,3

23,3

23,5

25,5

25,3

27,5

29,3

29,5

30,5

x , yx , y x , y x , y x , y x , y

Copyright 2012-2013 Education.com www.education.com/worksheets created by:

15,21

13,21

13,7

17,21

19,21

19,7


1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

X

Y

Y

X

18,10

7,10

16,7

19,7

22,10

23,9

28,9

27,10

28,14

27,18

28,19

23,19

22,18

19,21

10,21

7,18

18,18

9,10

7,11

7,12

9,13

9,15

7,16

7,17

9,18

7,11

3,11

2,10

2,11

1,12

2,12

2,13

3,12

7,12

7,16

3,16

2,15

2,16

1,17

2,17

2,18

3,17

7,17

24,13

23,13

22,14

23,15

24,15

24,13

25,11

26,12

25,13

24,12

25,11

25,15

26,16

25,17

24,16

25,15

26,13

27,12

26,10

24,10

22,12

26,15

27,16

26,18

23,18

22,16

21,11

20,12

21,13

20,14

21,15

20,16

21,17

17,11

16,12

17,13

16,14

17,15

16,16

17,17

13,11

12,12

13,13

11,11

10,12

11,13

13,15

12,16

13,17

11,15

10,16

11,17

18,8

16,10

15,8

13,10

12,8

10,10

16,18

18,20

13,18

15,20

10,18

12,20

4,1

3,3

4,6

4,7

3,11

3,12

3,16

3,17

3,21

5,23

7,24

9,26

11,27

13,28

13,27

Drawing On The Grid : NightDraw an unbroken line between each point listed, when you see the red X lift up your pencil and start a new line.

14,27

14,28

13,28

15,30

13,30

12,29

9,29

9,30

8,30

8,29

9,29

7,27

5,26

1,22

1,1

y , x y , x y , x y , x y , x y , x y , x y , x y , x



1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

X

Y

Y

X

16,13

14,13

12,14

10,16

9,18

9,20

10,22

12,24

14,25

16,25

18,24

20,22

21,20

21,18

20,10

18,14

16,13

16,13

15,11

14,13

12,12

12,14

10,14

10,16

8,16

9,18

7,19

9,20

8,22

10,22

10,24

12,24

12,26

14,25

15,27

16,25

18,26

18,24

20,24

20,22

22,22

21,20

23,18

21,18

22,16

20,10

20,14

18,14

18,12

16,13

Drawing On The Grid : In The SunDraw an unbroken line between each point listed, when you see the red X lift up your pencil and start a new line

15,11

15,1

16,1

16,12

15,4

13,6

9,6

9,8

13,8

13,7

15,4

16,7

18,9

21,9

22,11

18,11

18,10

16,7

x , yx , y x , y x , y x , y x , y



1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

X

Y

Y

X

4

Name Datescience : know your galaxies

COMPARING DECIMALS

Place the decimals in the right place along the number line. In the box, write >, <, or = to determinewhich decimal is greater.

Which is greater 4.7 or 4.37?

4.7 is greater than 4.37

4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0

4.37

Along the number line, numbers on the right side are greater than numbers to the left.

4.7

4.7 4.37>

Which is greater: 7.01 or 3.9?

10 2 3 4 5 6 7 8 9 10

10 2 3 4 5 6 7 8 9 10

7.01 3.9


4.76 5.5

10 2 3 4 5 6 7 8 9 10


4.30 4.3


Beaker Puzzle: Practice Ordering Decimals

What do scientists do?

_________________________

4th

Grade

E

X

P

ER

IM

EN

TX

0.54

0.504

0.405

0.44

1.0

1.01

0.1451.10

Order the decimal numbers on the beakers from largest to smallest, then use the letters to answerthe question below.

This is your bleed line.

More worksheets at www.education.com/worksheetsCopyright © 2010-2011 by Education.com2013-2014

Cross Multiplication Solve for x.

Answer Sheets5th Grade Math Practice

Solve a Division RiddleDividing Decimals

Division Coloring PageSolve for X

Order of Operations Practice #1Order of Operations Practice #2

Finding the Average: Mean, Median, and ModeGeometry Review: Angles and Polygons

Ordering Decimals Practice


Solve each problem below by dividing. Use the letter key to solve the riddle.

Letter Key

Where did Louie the dog purchase his shiny new collar?

At a store called...

10 850 36 432 45 720 24 384 15 255

11 935 13 403 18 216 19 399

85 = D

12 = O

16 = G

17 = Y

31 = I

21 = R

85 12 16 16 17

85 31 12 21

D O G G Y

D I O R

Copyright © 2011-2012 by Education.com More worksheets at www.education.com/worksheets

Delicious Decimals

Solve the problems by adding each set of decimals. Don’t forget to make the divisor a whole number.

1. 77.3 522.1 2.022 4.78

9.3 3.48 47.34

9.78 2.63 9.4

8.46 3.07 7.3

770 .0-3 .53 .5

0

3.5 .. 2. 60.6630 3. 20.0764.2

4. 47.0585.06 5. 24.367 6. 3.7872.08

7. 82.1528.4 8. 9.2053.5 9. 56.5886.02

10. 84.610 11. 22.1047.2 12. 41.3915.67


Cupcake Math



ANSWER SHEET

1

2

0.4

0.25


Owl Math



ANSWER SHEET

7

106

8

432x


Circus Math



ANSWER SHEET

7

20

0

57

57


Duck Math



ANSWER SHEET

615

18

4

4


Finding the Average: Mean, Median, and ModeIn statistics, there are three kinds of averages: mean, median, and mode.

Example

For each problem below, find the mean, median, and mode.For the mean, round your answer to the nearest hundredth.

-MEAN: The mean of a group of numbers is the average of the numbers.

-MEDIAN:

-MODE: The mode of a group of numbers is the number that appears most often.

The median of a group of numbers is the number that is exactly in the middle when the numbers are arranged numerically. Note: For even sets of numbers, take the average of the middle two numbers.

Soccer Goals

5 12 19 11 15 32 18 5 3

MEAN: Add all the numbers together (3+5+5+11+12+15+18+19+32=120) then divide (120) by the number of numbers added together (9), so 120 ÷ 9 = 20.MEDIAN: In this example, the number in the middle is 12.MODE: In this example, the number that reoccurs the most is 5.

Before you do any computing, you should always write the numbers in numerical order, from smallest to largest:

3 5 5 11 12 15 18 19 32

Basketball Points

11 15 16 16 21 5 9

Touchdowns

10 7 9 15 14 12 11 9

1. Mean: __________________

Median: ________________

Mode: __________________

2. Mean: __________________

Median: ________________

Mode: __________________

Golf Scores

61 68 75 72 68 79

Wrestling Wins

5 7 13 24 16 22 13 7 6

3. Mean: __________________

Median: ________________

Mode: __________________

4. Mean: __________________

Median: ________________

Mode: __________________

Boxing Wins

24 16 23 16 15 35 19

Volleyball Wins

7 14 11 12 11 20 8 5 10

5. Mean: __________________

Median: ________________

Mode: __________________

6. Mean: __________________

Median: ________________

Mode: __________________

13.29

15

16

17

7 and 13

13

15

11.5

9

85

60

68

19

11

11

26

23

16


Use the picture below to answer the following questions.

1. How many right angles are there?

2. How many obtuse angles are there?

3. How many acute angles are there?

4. How many equilateral triangles are there?

5. How many isosceles triangles are there?

6. How many scalene triangles are there?

_________________________

_________________________

_________________________

_________________________

_________________________

_________________________

Name each polygon below on the lines provided.

1. ___________ 2. ___________ 3. ___________

4. ___________ 5. ___________ 6. ___________

7. ___________ 8. ___________

219022

octogon pentagon hexagon

quadrilateral parallelogram rectangle

nonagon heptagon

What do scientists do?

_________________________More worksheets at www.education.com/worksheetsCopyright © 2010-2011 by Education.com

Beaker Puzzle: Practice Ordering Decimals

ANSWER SHEET

EXPERIMENT

4th

Grade

E

E

X

X

P

P

ER

ER

I

I

M

M

EN

EN

T

T

X

0.54

0.54

0.504

0.504

0.405

0.405

0.44

0.44

1.0

1.0

1.01

1.01

0.145

0.145

1.10

1.10

Order the decimal numbers on the beakers from largest to smallest, then use the letters to answerthe question below.

practice 5th grade math - ms. howell's 4th grade...

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