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4th Grade MathPractice Packet

An Education.com Collection byLaRhondaBeardenSteward

Table of ContentsFind the Area of a Rectangle: Easy

Least Common Multiple: EasyGraduated Cylinder Measurements

Angle PuzzleFind the Greatest Common Factor #1

Plot CoordinatesDizzy Over Decimals: Addition #2

Converting Improper FractionsDizzy Over Decimals: Addition #3Inverse Operations: Multiplication

Mean, Median and ModePractice Finding Area #8: Find a New Home

Arithmetic PuzzlesWord Problems: How Does Your Garden Grow?

Number ScrambleProbability Practice: Birds

Convert Yards to MilesParallel and Perpendicular Lines

Math Riddles: Adding and SubtractingMath Riddles: Subtraction #3

Probability QuizMath Riddles: Subtraction #1

Math Riddles: Solve the EquationAngle Practice

Line Logic: Parallel and Perpendicular #1Skill Practice 3: Simplifying Fractions

Math Riddles: Addition #3Math Riddles: Subtraction #4

Math Riddles: Triple DigitsSteer & Simplify #5

Finding Area: Level 1Help Piggy pick a room with the largest area in square feet. Calculate the area of each room then writethe answer in the middle of the room. Color in the largest one. Remember, Area = L x W

?

8

10

12

5

8

4

3

14

7

9

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MathAlgebra Least Common Multiple: Easy

A multiple is the product of two integers. To �nd the multiples of a certain number, multiply that number by every integer, starting with 1.

Least common multiple (LCM) is the smallest common multiple of two or more numbers.From the example above, the LCM of 2 and 3 is 6.LCM can be found by listing the multiples and looking for the smallest common one in the lists.

Common multiples are numbers that share one or more of the same multiples.Example: Multiples of 2 are 2, 4, 6, 8, 10, 12, and so on. Multiples of 3 are 3, 6, 9, 12, 15, and so on.6 and 12 appear in these lists, so they are common multiples of 2 and 3.

Example: The multiples of 2 are 2, 4, 6, 8, 10, and so on.

Multiples of 4 = 4, 8, 12, 16, 20, ... Multiples of 5 = 5, 10, 15, 20, 25, ...

Circle the common multiples of the pair of numbers, then answer the questions.

Fill in the blanks and �nd the least common multiples below.

The common multiple is: .

The LCM is .


The LCM is .

Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, ... Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, ...



The LCM is .


The LCM is .

Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, ... Multiples of 12 = 12, 24, 36, 48, 60, 72, ...

Multiples of 2 = 2, ___ ,___ , ___ ,___ ,12, ...

Multiples of 3 = 3, ___ ,___ , ___ ,___ ,18, ...

The common multiples are: .

The LCM is .


The LCM is .

Multiples of 3 = 3, __ ,__ , __ ,__ ,__ , __ ,__ , ... Multiples of 4 = 4, __ ,__ , __ ,__ ,__ , __ ,__ , ...


Measuring liquids in graduated cylinders is often tricky because the liquid surface is curved. This curved surface is called the meniscus and occurs because of the strong attractive force between the glass and water.

Procedure:1. Measure the amount of liquid in the graduated cylinders below. When you measure make sure to measure the amount using the bottom of the meniscus for any liquid volume measuring tool. 2. Record the measurement and label your units in mL on the line below each graduated cylinder.

LIQUID MEASUREMENTS

150

140

50

40

30

20

130

120

80

70

70

60

120

110

90

80

30

60

90

120

150

180

210

240

270

300

330

360/0

turn 1150

turn

226

+ 3

7 =

192

W

NW

N

E

S

NE

SESW

M A T HM A T HM A T HG E O M E T R Y

Copyright 2010-2011 Education.comwww.education.com/worksheetscreated by:

Angle SteeringAngle SteeringSteering a ship requires practice and precision. It also requires

you to think about math and angles.

Turn the ship’s wheel according to the angle measurements

given. See the examples below. With each new turn,

indicate the ship’s new direction by drawing a line towards

it. Turn clockwise if the angle is positive, counterclockwise

if it is negative. Use a ruler to help you draw straight lines.

22

+150

150

+42

192

+21 -79 +182 -38 -13 +80 -45 -208 -21 +49Turn Degrees

New Direction

1 2 3 4 5 6 7 8 9 10 11 12

What direction is the boat facing after

the last turn?N

NEE

SES

SWW

NW

M A T H

36 48

30 75 84 105 56 96

GCF

2

2

2

2

3

2

2

3

3

2 x 2 x 3 = 12

GCF GCF GCF

18 25 50 125 72 108 56 112

GCF GCF GCF GCF

40 60

GCF

36 = 18 x 2

36 = 9 x 2 x 2

36 = 3 x 3 x 2 x 2

48 = 24 x 2

48 = 12 x 2 x 2

48 = 6 x 2 x 2 x 2

48 = 3 x 2 x 2 x 2 x 2 Numbers in common:

2, 2, 3

2 is a prime number and divides into 18 evenly 36 times.

18 can be divided by 2, leaving 9.

9 can be divided by 3, leaving 3. Now we have all prime numbers.

Example

Once you find the prime factors of the second number, see which numbers they have in common. Circle and multiply them to get your GCF. If there are no prime factors in common, then the GCF is 1.

steehskrow/moc.noitacude.wwwmoc.noitacudE 1102-0102 thgirypoC created by:

The

1213

02

x y2526

03

x y02

67

x y04

1314

x y

y

x

y = 2x - 24 y = 3x - 75 y = x/2 + 6 y = x/4 + 13

Balloons and birds are on a collision course in the sky! When their paths cross, the balloons pop! Plot 10 points for each of the 4 linear equations using the T-charts given. Graph each line on the x-y coordinates and answer the questions on the right.

Red balloon

Green balloon

Orange bird

Blue bird

At what coordinate (x,y) does the orange bird pop the red balloon?

At what coordinate (x,y) does the blue bird pop the green balloon?

( ___ , ___ )

( ___ , ___ )

4TH GRADEL I N E A R M A T H

5

0 5 10 15 20 25 30 35 40

10

15

20

25

Collision CoordinatesCollision CoordinatesCollision CoordinatesCollision CoordinatesCollision CoordinatesCollision CoordinatesCollision CoordinatesCollision CoordinatesCollision CoordinatesCollision CoordinatesCollision CoordinatesCollision CoordinatesCollision Coordinates

Copyright 2010-2011 Education.com www.education.com/worksheets created by:

Kramsters are very picky eaters. Feed each kramster the correct number of pellets by converting the following improper fractions to mixed numbers. Color in the pellets to match each mixed number.

EXAMPLE:

134 3 1

4

154

126

32

145

206

For the last one, shade in the pellets without guidelines.


Inverse Operations: Multiplication

Match the multiplication equation on the left with its inverse division equation on the right.

11 x 3 = 33 20 ÷ 10 = 2

4 x 12 = 48 55 ÷ 11 = 5

2 x 10 = 20 33 ÷ 3 = 11

13 x 4 = 52 45 ÷ 3 = 15

5 x 11 = 55 48 ÷ 12 = 4

15 x 3 = 45 52 ÷ 4 = 13

Complete the multiplication problems and then write out its inverse equations.

1.) 9 x 13 = _____________

2.) 8 x 12 = _____________

3.) 10 x 5 = _____________

4.) 14 x 4 = _____________

5.) 2 x 15 = _____________

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Mean, Median and Mode

Find the mean, defined as the average of a group of numbers. To find the mean, add all the digits together and divide by the number of digits there are.

1.) 6 , 3 , 8 , 11 , 12 , 5 = 2.) 10 , 4 , 7 , 12 , 6 =

3.) 4 , 4 , 9 , 13 , 2 = 4.) 9 , 5 , 5 , 5 , 12 , 15 =

5.) 2 , 2 , 2 , 15 , 14 = 6.) 3 , 5 , 6 , 3 , 5 , 6 =

Find the median, defined as the middle number in a group of numbers. To find the median, put the numbers in numerical order and identify the middle number.

1.) 12 , 9 , 9 , 11 , 5 , 6 , 8 = 2.) 3 , 3 , 5 , 9 , 1 , 2 , 4 =

3.) 7 , 3 , 9 , 8 , 8 , 10 , 4 = 4.) 4 , 6 , 8 , 10 , 7 =

5.) 8 , 7 , 6 , 10 , 11 , 11 , 6 = 6.) 8 , 11 , 11 , 12 , 9 =

Find the mode, defined as the number that occurs the most in a group of numbers. To find the mode, place the numbers in numerical order and identify the one that occurs the most.

1.) 7 , 4 , 4 , 3 , 8 , 4 = 2.) 9 , 1 , 2 , 9 , 2 , 5 , 2 =

3.) 3 , 4 , 9 , 0 , 3 , 1 = 4.) 8 , 4 , 9 , 8 , 3 , 8 =

5.) 11 , 11 , 4 , 7 , 4 , 12 , 4 = 6.) 9 , 10 , 10 , 3 , 8 =



4thGrade

Help Mr. Rabbit �nd his new home. The total area of his place has to be at least 60 square feet.This includes the area of a roof (triangle) plus the area of the house (rectangle).

Find a New Home ?

Triangle Area = 1

2x base x height

The base of a triangle can be any one of its sides.The height is the distance from a base to its opposite point,or vertex. A base must be perpendicular to its height.

base (B)

height (H)

4

4

3

8

Rectangle Area = length x width Review:

7

5

5

5

610

5 5

6

43 3

3

4

4

3.53.5

4

2222

2 2

x base x height12

Area of the roof =

x 7 x 4 = 1412

=

Example: base =height = 4

3.5 + 3.5 = 7

Area of the rectangle = 6 x 4 = 24

Total area = 14 + 24 = 38 square feet.

Which home should Mr. Rabbit move into? Circle it.

MMMM DDDDissing igits

Fill in the missing numbers to make each

addition and subtraction equation true.

1. 65, 098

+ 21, 101

2. 30, 33

+ 2, 12

3. 76, 84

‒ 3 , 12

4. 7, 4 3

‒ 42, 97

7. 77, 8

+ 2, 090

5. 6 , 47

+ 9, 7 3

6. 8, 6 1

‒ 1 , 721

8. 5 , 06

‒ 47, 71

9. 90, 00

+ 3 , 02

86, 199 5 , 0 4 0, 5 5

4 , 42 91, 79 78, 1

11 , 78 6, 4 0 8, 2 7

Ex.

Solve the word problems. Show your work and circle your answers.

1. Mari’s mom works as a landscape artist, creating and maintaining beautiful gardens. Today, Mari is helping her mom place stones in a new garden. During their first hour of work, they place 1,071 stones in the garden. During the second hour, they place 1,280. If there are 3,500 stones in all, how many do they still have to place?

2. Mari and her mom are creating gardens for the front and back yards of a home. They are going to plant 625 lavender seeds, 2,200 grass seeds and 935 trumpet vine seeds in the front garden. If all the seeds sprout, how many sprouts will there be in all?

3. Mari’s mom is going to plant 3,500 seeds in the back garden. If she plants 1,675 grass seeds and 835 nasturtium seeds, how many seeds will she have left to plant?

4. Mari worked with her mom for 1 1/2 hours on Monday, 1 hour on Tuesday, and 2 1/2 hours on Wednesday. For how many minutes did Mari work in all?

Using the numbers in the number bank, create a

six-digit number based on the clues given.

9 2 6 4 1 5

Copyright 2012-2013 Education.com www.education.com/worksheets

Created by :

1. What is the smallest six-digit number you can make?

2. What is the largest six-digit number you can make?

3. What is the smallest six-digit number you can make that

begins with an even number?

4. What is the largest six-digit number you can make that has

9 in the hundreds place?


ends in 5?

LINEAR MEASUREMENTS

HINT) 3 feet(ft.) is equal to 1 yard (yd.), 1760 yards is equal to 1 mile(mi.)

More worksheets at www.education.com/worksheetsCopyright © 2010-2011 by Education.com2012-2013

1

Convert the following linear measurements.2

1) 2 mi. = ft. 2) 8800 yd. = mi. 3) 81 yd. = ft.

4) 1760 yd. = ft. 5) 4 mi. = yd. 6) 504 yd. = ft.

7) 261 ft. = yd. 8) 3 mi. = yd. 9) 1 mi. = yd.

10) 96 yd. = ft. 11) 1/2 mi. = yd. 12) 211 yd. = ft.

13) 3 mi. = ft. 14) 880 yd. = mi. 15) 2 mi. = yd.

16) 5 mi. = yd. 17) 640 yd. = ft. 18) 3 mi. = yd.

Complete the table by converting feet yards and miles.

1 mile

5,280 feet

3 miles

15,840 ft.

4 miles

7,040 yards3,520 yards

26,400 ft.

Name:

Copyright © 2012-2013 by Education.com More worksheets at www.education.com/worksheetsCreated by:

Parallel and Perpendicular Lines

0 1-1

-1

-2

-2

-3

-3

-4

-4

-5

-5

-6-7-8

-6

-7

-8

1

2

2

3

3

4

4

5

5

6 7 8

6

7

8

Parallel lines are distinct lines lying in the same plane that never intersect each other.Perpendicular lines are lines that intersect each other at right angles.

Mikey draws a line segment from (-3, -3) to (2, 6). He then draws a line segment from (-2, -5) to (3, 4).If he wants to draw another line segment that is parallel to those two segments, what points will he use?What about a line that is perpendicular?

Parallel lines Perpendicular lines

Parallel segment: Perpendicular segment:

Name:



0 1-1

-1

-2

-2

-3

-3

-4

-4

-5

-5

-6-7-8

-6

-7

-8

1

2

2

3

3

4

4

5

5

6 7 8

6

7

8


In each quadrant, determine if the two line segments are parallel, perpendicular, or neither. Explain why.


Quadrant 1: Line AB is to Line CD because

Quadrant 1: Line EF is to Line GH because

Quadrant 1: Line IJ is to Line KL because

Quadrant 1: Line MN is to Line OP because

AG

H

I

J

KL M P

NO

E

F

BC

D

Math!Math!Riddle Me Riddle Me Multidigit Addition & Subtraction

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

Directions:Solve each math problem. Then find the answer and write the letter in the correct place to solve the riddle.

What's the greatest use of cowhide? T

.1

18

2 3 4 5 6

7 8 9 10 11 12 13 14 15 16 17

1. 2. 3.6 2 56 6 7

1 2 9 2

1

+7 8 33 2 6–

3 2 95 4 7+ 4.

4 7 22 1 4–

5. 6. 7.7 3 83 2 7+

6 5 24 2 4–

9 3 03 0 2+ 8.

8 2 94 3 6–

9. 10. 11.4 6 52 8 3+

3 9 81 2 1–

7 8 82 9 4+ 12.

7 3 82 5 9–

13. 14. 15.6 9 35 3 6+

5 2 92 0 4–

4 5 16 2 9+ 16.

5 8 42 4 7–

17. 18.8 7 35 2 7+

8 2 63 7 7–

E. 325

H. 876

S. 277

T. 1082

O. 393

C. 1232

W. 748R. 449

O. 479

G. 1229

L. 1065

T. 1080

O. 258 E. 1400

H. 337

D. 228

O. 457

T. 1292

Math!Math!Riddle Me Riddle Me Multidigit Subtraction


R. 864

A. 463 E. 324

G. 269

A. 864

Y. 160

P. 708

E. 584

S. 846

G. 713

U. 594

L. 819O. 415

E. 134

E. 608

Directions:Solve each math problem. Then find the answer and write the letter in the correct place to solve the riddles.

What has to be broken before it can be used? An E .1 32

What question can you never answer “yes” to? “

?”7 9 158 1110 12 1413

654

1. 2. 3.6 5 7

4 96 0 8

41

–7 9 6

8 3–3 6 5

9 6–

4. 5. 6. 7.9 3 8

7 4–5 2 3

6 5–2 0 3

6 9–2 4 9

8 9–

8. 9. 10. 11.4 7 2

5 7–6 2 7

3 3–4 8 7

2 4–9 3 8

9 2–

12. 13. 14. 15.8 3 5

1 6–3 7 2

4 8–6 2 9

4 5–7 4 6

3 8–

458



I. 171

C. 233

T. 209

R. 191

Y. 376

D. 146

G. 172

K. 562

S. 331

T. 25

H. 361

A. 361I. 729

L. 376


What can �ll a room but takes up no space? L .1

6 4 02 6 43 7 6

1351

–8 2 91 0 0–

4 5 52 8 3–

9 8 86 2 7–

2 8 42 5 9–1. 2. 3. 4. 5.

7 2 23 4 6–

8 2 64 6 5–

5 6 33 7 2–

2 7 81 3 4–

8 5 45 2 3–6. 7. 8. 9. 10.

6 9 24 8 3–

9 0 97 3 8–

6 5 44 2 1–

8 4 62 8 4–11. 12. 13. 14.

2 3 4 5

What has a foot on each side and one in the middle?

.131211109876 14

5 2 7

461

144




What did the sea say to the sand? ,N

.1

18

2 3 4 5 6 7

8 9 10 11 12 13 14 15 16 17

1. 2. 3.9 8 62 4 3

1 2 2 9

1

+6 2 93 7 4–

3 5 26 8 7+ 4.

4 9 83 0 2–

5. 6. 7.5 2 87 4 6+

4 6 31 1 9–

7 9 23 5 6+ 8.

9 8 65 2 7–

9. 10. 11.3 4 16 7 2+

6 5 34 2 1–

4 7 89 2 8+ 12.

7 3 62 6 4–

13. 14. 15.8 4 02 7 5+

9 8 43 4 8–

1 6 45 3 2+ 16.

8 2 13 9 0–

17. 18.6 9 37 3 0+

8 5 25 4 6–

E. 1423

U. 1406I. 1274

E. 1013

W. 636

S. 472

H. 459

J. 232

0. 255

T. 1115

A. 696

T. 1039

G. 1148 H. 196

N. 344

V. 431

D. 306

N. 1229

30

60

90

120

150

180

210

240

270

300

330

360/0

turn

12

6

turn 2

26 + 37 = 63

W

NW

N

E

S

NE

SESW



Angle SteeringAngle SteeringSteering a ship requires practice and precision. It also requires you to think about math and angles.

Turn the ship’s wheel according to the angle measurements given. See the examples below. With each new turn, indicate the ship’s new direction by drawing a line towards it. Turn clockwise if the angle is positive, counterclockwise if it is negative. Use a ruler to help you draw straight lines.

11

+26

26

+37

63

-51 +153 -92 -30 -9 +185 -67 +49 +93 -60Turn Degrees

New Direction

1 2 3 4 5 6 7 8 9 10 11 12


the last turn?N

NEE

SES

SWW

NW

Wally the Worm needs help learning parallel and perpendicular lines. Draw parallel lines through the black dots and perpendicular lines through the white dots. Use a ruler to help you draw straight lines.

Parallel Perpendicular

Parallel and Perpendicular linesWally the Worm

1 2 3

4 5 6

7 8 9



3

1230

25

2024

6370

515

2745

1020

318

1827

2432

1663

14

7599

1325

19100

1172

4163

2871

2497

1895

≈ ≈ ≈

≈ ≈ ≈

≈ ≈ ≈


≈ 1616

1664

14

M A T HM A T HF R A C T I O N S

S k i l l P r a c t i c eSimplifying Fractions

Simplify the following fractions. Show your work.

Now that you’ve got the hang of it, look closely at the following fractions. They do not simplify very well, but they are very close to a simplifiable fraction. For example, 51/100 cannot be simplified, but we know that 50/100 = 1/2. So, 50/100 can be approximated to 1/2. Be sure to show your work.

6

6

991998

Math!Math!Riddle Me Riddle Me Multidigit Addition



What holds water yet is full of holes? A S .1

1034977

111

+1.62703064+2.

15621935+3.

29746531+4.

56291032+5.

7283728+6.

8298674+7.

37204832+8.

29831844+9.

2210732+10.

+11.12824326+12.

3749203+13.

12926632+14.

2 6543

What do you call a ki�en drinking lemonade?

A .10987 12 1311 14

E. 4456

O. 3497

P. 9334

N. 9505

G. 6661

O. 8552

S. 7924

U. 4827

S. 9577

P. 9659

S. 8972 U. 5608

R. 2942

S. 2011

69212738



M. 111

E. 243

U. 162G. 475

0. 194

O. 182

O. 232

H. 198

R. 453

S. 231L. 350

V. 286

S. 580M. 246


What kind of room has no windows or doors?

A M .1 82 3 4 5 6 7

What do you �ll with empty hands? .14131211109

1. 2. 3.7 2 94 8 32 4 6

16

–3 4 61 8 4–

8 4 52 6 5– 4.

3 6 51 6 6–

5. 6. 7.7 4 32 9 0–

6 4 74 6 5–

3 8 71 9 3– 8.

5 8 44 7 3–

9. 10. 11.7 3 92 6 4–

4 7 21 2 2–

3 7 51 4 3– 12.

6 2 33 3 7–

13. 14.9 7 47 3 1–

3 5 21 2 1–

199




A woman has 7 children, half of them are boys. How can this be?

1. 2. 3.3 2 94 7 38 0 2

1 1

+7 4 83 6 2–

6 4 72 8 3+ 4.

8 2 95 4 6–

5. 6. 7.6 5 29 7 4+

4 5 92 0 4–

3 5 25 3 7+ 8.

9 0 35 3 2–

9. 10. 11.2 5 27 8 3+

8 5 42 1 0–

2 6 37 4 8+ 12.

6 7 23 2 1–

13. 14.8 2 23 7 1+

9 4 74 2 6–

.T1 2 1 2 2 1 2 2 1 2 11 2 2

Y. 283

S. 521

L. 1035

H. 386

E. 930

Y. 1193

E. 889

A. 1626

L. 644

A. 371

B. 1011

R. 255

T. 802

O. 351

3 4 5 6 7 8 9 10 11 12 13 14

seven children; half of them are boys. How can this be?

M A T HM A T HM A T HF R A C T I O N S


& Navigate the treacherous seas by simplifying the following fractions. Use the compass on the right to guide you. Start at the red arrow and go north, south, east or west to the next square with each fraction your reduce. Draw a line to track your journey. Show your work.

Compass Instructions: Once you reduce a fraction completely, look at its denominator and then find that number on the compass and move in the direction it points.

224

4260

1866

510

2832

36

912

28

721

530

1533

840

448

440

535

615

78

n

w2

5

8 791112

10

4

6

31

s

e

#1

4

4

Answer Sheets4th Grade Math Practice Packet

Least Common Multiple: EasyAngle Puzzle

Find the Greatest Common Factor #1Plot Coordinates

Dizzy Over Decimals: Addition #2Converting Improper Fractions

Dizzy Over Decimals: Addition #3Inverse Operations: Multiplication

Mean, Median and ModePractice Finding Area #8: Find a New Home

Arithmetic PuzzlesWord Problems: How Does Your Garden Grow?

Number ScrambleProbability Practice: Birds

Convert Yards to MilesParallel and Perpendicular Lines

Math Riddles: Adding and SubtractingMath Riddles: Subtraction #3

Probability QuizMath Riddles: Subtraction #1

Math Riddles: Solve the EquationAngle Practice

Skill Practice 3: Simplifying FractionsMath Riddles: Addition #3

Math Riddles: Subtraction #4Math Riddles: Triple Digits

Steer & Simplify #5


MathAlgebra Least Common Multiple: Easy

A multiple is the product of two integers. To �nd the multiples of a certain number, multiply that number by every integer, starting with 1.

Least common multiple (LCM) is the smallest common multiple of two or more numbers.From the example above, the LCM of 2 and 3 is 6.LCM can be found by listing the multiples and looking for the smallest common one in the lists.

Common multiples are numbers that share one or more of the same multiples.Example: Multiples of 2 are 2, 4, 6, 8, 10, 12, and so on. Multiples of 3 are 3, 6, 9, 12, 15, and so on.6 and 12 appear in these lists, so they are common multiples of 2 and 3.

Example: The multiples of 2 are 2, 4, 6, 8, 10, and so on.


Circle the common multiples of the pair of numbers, then answer the questions.

Fill in the blanks and �nd the least common multiples below.


The LCM is .


The LCM is .

Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, ... Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, ...



The LCM is .


The LCM is .

Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, ... Multiples of 12 = 12, 24, 36, 48, 60, 72, ...

Multiples of 2 = 2, ___ ,___ , ___ ,___ ,12, ...

Multiples of 3 = 3, ___ ,___ , ___ ,___ ,18, ...


The LCM is .


The LCM is .

Multiples of 3 = 3, __ ,__ , __ ,__ ,__ , __ ,__ , ... Multiples of 4 = 4, __ ,__ , __ ,__ ,__ , __ ,__ , ...

2020

4242

4040

3636

4 6 8 10

6 9 12 15

6 and 12

6

6 9 12 15 18 24

12

21

8 16 20 24 28 32

12 and 24

12

Answer Sheet

30

60

90

120

150

180

210

240

270

300

330

360/0

turn 1150

turn

226

+ 3

7 =

192

W

NW

N

E

S

NE

SESW



Angle SteeringAngle SteeringSteering a ship requires practice and precision. It also requires

you to think about math and angles.

Turn the ship’s wheel according to the angle measurements

given. See the examples below. With each new turn,

indicate the ship’s new direction by drawing a line towards

it. Turn clockwise if the angle is positive, counterclockwise

if it is negative. Use a ruler to help you draw straight lines.

22

+150

150

+42

192

+21 -79 +182 -38 -13 +80 -45 -208 -21 +49Turn Degrees

New Direction

1 2 3 4 5 6 7 8 9 10 11 12

213 134 316 278 265 345 300 92 71 120

Answer Sheet

10

11

12

9

8

7

6

5

4

3


the last turn?N

NEE

SES

SWW

NW

M A T H

36 48

30 75 84 105 56 96

GCF

2

2

2

2

3

2

2

3

3

2 x 2 x 3 = 12

GCF GCF GCF

18 25 50 125 72 108 56 112

GCF GCF GCF GCF

40 60

GCF

36 = 18 x 2

36 = 9 x 2 x 2

36 = 3 x 3 x 2 x 2

48 = 24 x 2

48 = 12 x 2 x 2

48 = 6 x 2 x 2 x 2

48 = 3 x 2 x 2 x 2 x 2 Numbers in common:

2, 2, 3

2 is a prime number and divides into 18 evenly 36 times.

18 can be divided by 2, leaving 9.

9 can be divided by 3, leaving 3. Now we have all prime numbers.

Example

Once you find the prime factors of the second number, see which numbers they have in common. Circle and multiply them to get your GCF. If there are no prime factors in common, then the GCF is 1.

2

2

2

5

2

2

3

5

2

3

5

3

5

5

2

2

3

7

3

5

7

2227

222223

2

3

3

5

5

2

5

5

5

5

5

22233

22333

2227

22227

15 81202

1 25 18 28

Answer Sheet


The

1213

02

x y2526

03

x y02

67

x y04

1314

x y

y

x

y = 2x - 24 y = 3x - 75 y = x/2 + 6 y = x/4 + 13

Balloons and birds are on a collision course in the sky! When their paths cross, the balloons pop! Plot 10 points for each of the 4 linear equations using the T-charts given. Graph each line on the x-y coordinates and answer the questions on the right.

Red balloon

Green balloon

Orange bird

Blue bird

At what coordinate (x,y) does the orange bird pop the red balloon?

At what coordinate (x,y) does the blue bird pop the green balloon?

( ___ , ___ )

( ___ , ___ )

4TH GRADEL I N E A R M A T H

5

0 5 10 15 20 25 30 35 40

10

15

20

25

Collision Coordinates


1415

20

242321

1917

46

101416182224

2829

3132

912

1821

33 24

27 6

30 15

34 27

4

6

14108

182224

89

101113151718

20 16

812162024283236

1516171819202122

32 21

Answer Sheet

Coordinate answerswill vary depending on

choice of X.

= 2

= 3 34

= 1 12

= 2 45

= 3 23

A N S W E R S

Kramsters are very picky eaters. Feed each kramster the correct number of pellets by converting the following improper fractions to mixed numbers. Color in the pellets to match each mixed number.

EXAMPLE:

134 3 1

4

154

126

32

145

206

For the last one, shade in the pellets using your own outlines.


1

Inverse Operations: Multiplication(answer sheet)

Match the multiplication equation on the left with its inverse division equation on the right.

11 x 3 = 33 20 ÷ 10 = 2

4 x 12 = 48 55 ÷ 11 = 5

2 x 10 = 20 33 ÷ 3 = 11

13 x 4 = 52 45 ÷ 3 = 15

5 x 11 = 55 48 ÷ 12 = 4

15 x 3 = 45 52 ÷ 4 = 13

Complete the multiplication problems and then write out its inverse equations.

1.) 9 x 13 = 117 117 ÷ 13 = 9 & 117 ÷ 9 = 13

2.) 8 x 12 = 96 96 ÷ 12 = 8 & 96 ÷ 8 = 12

3.) 10 x 5 = 50 50 ÷ 5 = 10 & 50 ÷ 10 = 5

4.) 14 x 4 = 56 56 ÷ 4 = 14 & 56 ÷ 14 = 4

5.) 2 x 15 = 30 30 ÷ 15 = 2 & 30 ÷ 2 = 15


Mean, Median and Mode(answer sheet)

Find the mean, defined as the average of a group of numbers. To find the mean, add all the digits together and divide by the number of digits there are.

1.) 6 , 3 , 8 , 11 , 12 , 5 = 7.5 2.) 10 , 4 , 7 , 12 , 6 = 7.8

3.) 4 , 4 , 9 , 13 , 2 = 6.4 4.) 9 , 5 , 5 , 5 , 12 , 15 = 8.5

5.) 2 , 2 , 2 , 15 , 14 = 7 6.) 3 , 5 , 6 , 3 , 5 , 6 = 4.7

Find the median, defined as the middle number in a group of numbers. To find the median, put the numbers in numerical order and identify the middle number.

1.) 12 , 9 , 9 , 11 , 5 , 6 , 8 = 9 2.) 3 , 3 , 5 , 9 , 1 , 2 , 4 = 3

3.) 7 , 3 , 9 , 8 , 8 , 10 , 4 = 8 4.) 4 , 6 , 8 , 10 , 7 = 7

5.) 8 , 7 , 6 , 10 , 11 , 11 , 6 = 8 6.) 8 , 11 , 11 , 12 , 9 = 11

Find the mode, defined as the number that occurs the most in a group of numbers. To find the mode, place the numbers in numerical order and identify the one that occurs the most.

1.) 7 , 4 , 4 , 3 , 8 , 4 = 4 2.) 9 , 1 , 2 , 9 , 2 , 5 , 2 = 2

3.) 3 , 4 , 9 , 0 , 3 , 1 = 3 4.) 8 , 4 , 9 , 8 , 3 , 8 = 8

5.) 11 , 11 , 4 , 7 , 4 , 12 , 4 = 4 6.) 9 , 10 , 10 , 3 , 8 = 10



4thGrade

Help Mr. Rabbit �nd his new home. The total area of his place has to be at least 60 square feet.This includes the area of a roof (triangle) plus the area of the house (rectangle).

Find a New Home ?

Triangle Area = 1

2x base x height

The base of a triangle can be any one of its sides.The height is the distance from a base to its opposite point,or vertex. A base must be perpendicular to its height.

base (B)

height (H)

4

4

3

8

Rectangle Area = length x width Review:

7

5

5

5

610

5 5

6

43 3

3

4

4

3.53.5

4

2222

2 2

x base x height12

Area of the roof =

x 7 x 4 = 1412

=

Example: base =height = 4

3.5 + 3.5 = 7

Area of the rectangle = 6 x 4 = 24

Total area = 14 + 24 = 38 square feet.

Which home should Mr. Rabbit move into? Circle it.

base = 4height = 2

Area of the roof = x 4 x 2 = 412 4 x 2 = 8

Area of the rectangle = 10 x 3 = 30Total Area = 30 + 8 = 38 square feet

base = 6height = 3

Area of the roof = x 6 x 3 = 912


base = 8height = 4



base = 10height = 6



Answer Sheet

MMMM DDDDissing igits

Fill in the missing numbers to make each

addition and subtraction equation true.

1. 65, 098

+ 21, 101

2. 30, 332

+ 22, 712

3. 76, 684

‒ 36, 129

4. 87, 423

‒ 42, 997

7. 77, 888

+ 42, 090

5. 61, 476

+ 29, 703

6. 98, 631

‒ 19, 721

8. 54, 206

‒ 47, 716

9. 90, 005

+ 38, 202

86, 199 53, 044 40, 555

44, 426 91, 179 78, 910

119, 978 6, 490 128, 207

Ex.

ANSWERS

Solve the word problems. Show your work and circle your answers.

1. Mari’s mom works as a landscape artist, creating and maintaining beautiful gardens. Today, Mari is helping her mom place stones in a new garden. During their first hour of work, they place 1,071 stones in the garden. During the second hour, they place 1,280. If there are 3,500 stones in all, how many do they still have to place?

2. Mari and her mom are creating gardens for the front and back yards of a home. They are going to plant 625 lavender seeds, 2,200 grass seeds and 935 trumpet vine seeds in the front garden. If all the seeds sprout, how many sprouts will there be in all?

3. Mari’s mom is going to plant 3,500 seeds in the back garden. If she plants 1,675 grass seeds and 835 nasturtium seeds, how many seeds will she have left to plant?

4. Mari worked with her mom for 1 1/2 hours on Monday, 1 hour on Tuesday, and 2 1/2 hours on Wednesday. For how many minutes did Mari work in all?

1,071+ 1,280________

2,351

3,500- 2,351________

1,149

625 2,200+ 935________

3,760

1,675+ 835________

2,510

3,500- 2,510________

990

1 1/2 hours + 1 hour + 2 1/2 hours = 5 hours

60 minutesx 5 hours_____________

300 minutes

Using the numbers in the number bank, create a

six-digit number based on the clues given.

9 2 6 4 1 5

Copyright 2012-2013 Education.com www.education.com/worksheets

Created by :

1. What is the smallest six-digit number you can make?

2. What is the largest six-digit number you can make?


begins with an even number?

4. What is the largest six-digit number you can make that has

9 in the hundreds place?


ends in 5?

1 2 4 5 6 9

9 6 5 4 2 1

2 1 4 5 6 9

6 5 4 9 2 1

1 2 4 6 9 5

LINEAR MEASUREMENTS

HINT) 3 feet(ft.) is equal to 1 yard (yd.), 1760 yards is equal to 1 mile(mi.)

More worksheets at www.education.com/worksheetsCopyright © 2010-2011 by Education.com2012-2013

1

Convert the following linear measurements.2

1) 2 mi. = ft. 2) 8800 yd. = mi. 3) 81 yd. = ft.

4) 1760 yd. = ft. 5) 4 mi. = yd. 6) 504 yd. = ft.

7) 261 ft. = yd. 8) 3 mi. = yd. 9) 1 mi. = yd.

10) 96 yd. = ft. 11) 1/2 mi. = yd. 12) 211 yd. = ft.

13) 3 mi. = ft. 14) 880 yd. = mi. 15) 2 mi. = yd.

16) 5 mi. = yd. 17) 640 yd. = ft. 18) 3 mi. = yd.

Complete the table by converting feet yards and miles.

1 mile

5,280 feet

3 miles

15,840 ft.

4 miles

7,040 yards3,520 yards

26,400 ft.

10,560

5280

87

5

7040

5280

243

1512

1760

633880288

15,840 1/2 3,520

8800 1920 5,280

1760 yards10,560 ft.

2 miles5,280 yards 8800 yards

5 miles

21,120 ft.

Name:



0 1-1

-1

-2

-2

-3

-3

-4

-4

-5

-5

-6-7-8

-6

-7

-8

1

2

2

3

3

4

4

5

5

6 7 8

6

7

8


In each quadrant, determine if the two line segments are parallel, perpendicular, or neither. Explain why.


Quadrant 1: Line AB is to Line CD because

Quadrant 1: Line EF is to Line GH because

Quadrant 1: Line IJ is to Line KL because

Quadrant 1: Line MN is to Line OP because

AG

H

I

J

KL M P

NO

E

F

BC

D

perpendicular

parallel

not parallel

not perpendicular

they cross at right angles

they will never cross

they will cross

they don’t cross at right angles




What's the greatest use of cowhide? T

C O W S T O G E T H E R

O H O L D

.1

18

2 3 4 5 6

7 8 9 10 11 12 13 14 15 16 17

1. 2. 3.6 2 56 6 7

1 2 9 2 4 5 7 8 7 6 2 5 8

1 0 6 5 2 2 8 1 2 3 2 3 9 3

7 4 8 2 7 7 1 0 8 2 4 7 9

1 2 2 9 3 2 5 1 0 8 0 3 3 7

1 4 0 0 4 4 9

1

+7 8 33 2 6–

3 2 95 4 7+ 4.

4 7 22 1 4–

5. 6. 7.7 3 83 2 7+

6 5 24 2 4–

9 3 03 0 2+ 8.

8 2 94 3 6–

9. 10. 11.4 6 52 8 3+

3 9 81 2 1–

7 8 82 9 4+ 12.

7 3 82 5 9–

13. 14. 15.6 9 35 3 6+

5 2 92 0 4–

4 5 16 2 9+ 16.

5 8 42 4 7–

17. 18.8 7 35 2 7+

8 2 63 7 7–

E. 325

H. 876

S. 277

T. 1082

O. 393

C. 1232

W. 748R. 449

O. 479

G. 1229

L. 1065

T. 1080

O. 258 E. 1400

H. 337

D. 228

O. 457

T. 1292



R. 864

A. 463 E. 324

G. 269

A. 864

Y. 160

P. 708

E. 584

S. 846

G. 713

U. 594

L. 819O. 415

E. 134

E. 608


What has to be broken before it can be used? An E

A

Y O U A S L E E P

R E

G G .1 32

What question can you never answer “yes” to? “

?”7 9 158 1110 12 1413

654

1. 2. 3.6 5 7

4 96 0 8

8 6 4

4 1 5

8 1 9 3 2 4 5 8 4 7 0 8

5 9 4 4 6 3 8 4 6

4 5 8 1 3 4 1 6 0

7 1 3 2 6 9

41

–7 9 6

8 3–3 6 5

9 6–

4. 5. 6. 7.9 3 8

7 4–5 2 3

6 5–2 0 3

6 9–2 4 9

8 9–

8. 9. 10. 11.4 7 2

5 7–6 2 7

3 3–4 8 7

2 4–9 3 8

9 2–

12. 13. 14. 15.8 3 5

1 6–3 7 2

4 8–6 2 9

4 5–7 4 6

3 8–

458



I. 171

C. 233

T. 209

R. 191

Y. 376

D. 146

G. 172

K. 562

S. 331

T. 25

H. 361

A. 361I. 729

L. 376


What can �ll a room but takes up no space? L

Y A R D S T I C K

I G H T .1

6 4 02 6 43 7 6

3 7 6

2 0 9 1 7 1 2 3 3 5 6 2

3 6 1 1 9 1 1 4 6 3 3 1

7 2 9 1 7 2 3 6 1 2 5

1351

–8 2 91 0 0–

4 5 52 8 3–

9 8 86 2 7–

2 8 42 5 9–1. 2. 3. 4. 5.

7 2 23 4 6–

8 2 64 6 5–

5 6 33 7 2–

2 7 81 3 4–

8 5 45 2 3–6. 7. 8. 9. 10.

6 9 24 8 3–

9 0 97 3 8–

6 5 44 2 1–

8 4 62 8 4–11. 12. 13. 14.

2 3 4 5

What has a foot on each side and one in the middle?

.131211109876 14

5 2 7

4 6 1

461

1 4 4

144




What did the sea say to the sand? ,N

H E J U S T W A V E D

O T H I N

.1

18

2 3 4 5 6G7

8 9 10 11 12 13 14 15 16 17

1. 2. 3.9 8 62 4 3

1 2 2 9

1 2 7 4

1 0 1 3

1 1 1 5

1 4 2 3 3 0 6

6 3 6 3 9 6 4 3 1

2 3 2 1 4 0 6 4 7 2

3 4 4 1 1 4 8 4 5 9

2 2 5 1 0 3 9 1 9 6

1

+6 2 93 7 4–

3 5 26 8 7+ 4.

4 9 83 0 2–

5. 6. 7.5 2 87 4 6+

4 6 31 1 9–

7 9 23 5 6+ 8.

9 8 65 2 7–

9. 10. 11.3 4 16 7 2+

6 5 34 2 1–

4 7 89 2 8+ 12.

7 3 62 6 4–

13. 14. 15.8 4 02 7 5+

9 8 43 4 8–

1 6 45 3 2+ 16.

8 2 13 9 0–

17. 18.6 9 37 3 0+

8 5 25 4 6–

E. 1423

U. 1406I. 1274

E. 1013

W. 636

S. 472

H. 459

J. 232

0. 255

T. 1115

A. 696

T. 1039

G. 1148 H. 196

N. 344

V. 431

D. 306

N. 1229

2 5 5

6 9 6

30

60

90

120

150

180

210

240

270

300

330

360/0

turn

12

6

turn 2

26 + 37 = 63

W

NW

N

E

S

NE

SESW



Angle SteeringAngle SteeringSteering a ship requires practice and precision. It also requires you to think about math and angles.

Turn the ship’s wheel according to the angle measurements given. See the examples below. With each new turn, indicate the ship’s new direction by drawing a line towards it. Turn clockwise if the angle is positive, counterclockwise if it is negative. Use a ruler to help you draw straight lines.

11

+26

26

+37

63

-51 +153 -92 -30 -9 +185 -67 +49 +93 -60Turn Degrees

New Direction

1 2 3 4 5 6 7 8 9 10 11 12

Answer Sheet

12 165 73 43 34 219 152 201 294 234

3

410

11

12

9

8

7

6

5


the last turn?N

NEE

SES

SWW

NW

1230

25

2024

6370

515

2745

1020

318

1827

2432

1663

14

7599

1325

19100

1172

4163

2871

2499

1998

≈ ≈ ≈

≈ ≈ ≈

≈ ≈ ≈


≈ 1616

1664

14

M A T HM A T HF R A C T I O N S

S k i l l P r a c t i c eSimplifying Fractions

Simplify the following fractions. Show your work.

Now that you’ve got the hang of it, look closely at the following fractions. They do not simplify very well, but they are very close to a simplifiable fraction. For example, 51/100 cannot be simplified, but we know that 50/100 = 1/2. So, 50/100 can be approximated to 1/2. Be sure to show your work.

6

6

Answer Sheet

56

910

12

35

13

34

23

12

34

16

58

16

15

15

14

718

23

25

Math!Math!Riddle Me Riddle Me Multidigit Addition



What holds water yet is full of holes? A S

S O U R P U S S

P O N G E .1

1034977

2011

6661

4456

9659 5608 9577 7924

8972 8552 2942

4456

9334 3497 9505

111

+1.62703064+2.

15621935+3.

29746531+4.

56291032+5.

7283728+6.

8298674+7.

37204832+8.

29831844+9.

2210732+10.

69212738+11.

12824326+12.

3749203+13.

12926632+14.

2 6543

What do you call a ki�en drinking lemonade?

A .10987 12 1311 14

E. 4456

O. 3497

P. 9334

N. 9505

G. 6661

O. 8552

S. 7924

U. 4827

S. 9577

P. 9659

S. 8972 U. 5608

R. 2942

S. 2011

8972 8552 4827



M. 111

E. 243

U. 162G. 475

0. 194

O. 182

O. 232

H. 198

R. 453

S. 231L. 350

V. 286

S. 580M. 246


What kind of room has no windows or doors?

A M

G L O V E S

U S H R O O M .1 82 3 4 5 6 7

What do you �ll with empty hands? .14131211109

1. 2. 3.7 2 94 8 32 4 6

4 5 3

4 7 5

2 4 3 2 3 1

3 5 0 2 3 2 2 8 6

1 8 2 1 9 4 1 1 1

1 6 2 5 8 0 1 9 8

16

–3 4 61 8 4–

8 4 52 6 5– 4.

3 6 51 6 6–

5. 6. 7.7 4 32 9 0–

6 4 74 6 5–

3 8 71 9 3– 8.

5 8 44 7 3–

9. 10. 11.7 3 92 6 4–

4 7 21 2 2–

3 7 51 4 3– 12.

6 2 33 3 7–

13. 14.9 7 47 3 1–

3 5 21 2 1–

199

1 9 9




A woman has seven children, half of them are boys. How can this be?

1. 2. 3.3 2 94 7 38 0 2 3 8 6 9 3 0 2 8 3

1 6 2 6 2 5 5 8 8 9 3 7 1

1 0 3 5 6 4 4

1 1 9 3 5 2 1

1 0 1 1 3 5 1

1 1

+7 4 83 6 2–

6 4 72 8 3+ 4.

8 2 95 4 6–

5. 6. 7.6 5 29 7 4+

4 5 92 0 4–

3 5 25 3 7+ 8.

9 0 35 3 2–

9. 10. 11.2 5 27 8 3+

8 5 42 1 0–

2 6 37 4 8+ 12.

6 7 23 2 1–

13. 14.8 2 23 7 1+

9 4 74 2 6–

.T H E Y A R E A L L B O Y S1 2 3 4 5 6 7 8 9 10 1211 13 14

Y. 283

S. 521

L. 1035

H. 386

E. 930

Y. 1193

E. 889

A. 1626

L. 644

A. 371

B. 1011

R. 255

T. 802

O. 351

;

M A T HM A T HM A T HF R A C T I O N S


& Navigate the treacherous seas by simplifying the following fractions. Use the compass on the right to guide you. Start at the red arrow and go north, south, east or west to the next square with each fraction your reduce. Draw a line to track your journey. Show your work.

Compass Instructions: Once you reduce a fraction completely, look at its denominator and then find that number on the compass and move in the direction it points.

224

4260

1866

510

2832

36

912

28

721

530

1533

840

448

440

535

615

78

710

311

14

13

16

511

112

110

17

25

Answer Sheet

12

34

112

15

12

n

w2

5

8 791112

10

4

6

31

s

e

#1

4

4

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