5th grade math practice packet - wins for translate this...

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5th Grade MathPractice Packet

An Education.com Collection byLaRhondaBeardenSteward

Table of ContentsMystery Picture Graph #3

Aye, Aye, Area: #3Surface Area Smackdown: Round 1

Division: Extra Practice #9Find the Value of the Expression

Writing Expressions with Variables: 2Rectangle Algebra: Find the Total Area I

Find the Missing Numerator or DenominatorIt All Adds UpPi R Squared

Algebraic ExpressionsCoordinate Plane

How to Draw a Robot!Rock, Paper, Scissors Probability

Comparing DecimalsNumber Patterns: Multiply or Divide

Mystery Picture Graph #1Adding Mixed Fractions with Unlike Denominators

Probability Darts 3Treehouse Triangles #5

Rounding Decimal PlacesAdding Mixed Fractions

Angle Steering #5Surface Area Practice

Probability Toss 1Ratios

Practice Mixed & Improper Fractions 3Treehouse Triangles #2

Long DivisionAngle Puzzle

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

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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

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

Sail area:

11’

8’

7’

9’

15’

6’

6’

2’3’

4’

12’

8’

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

areas of the smaller triangles.

Remember, triangle area = 1/2 (base x height)

5 = ½ (6x5) = 15 square feet

Aye Aye, Area!

Area 6

8

7 114 7

13 7

6

7 4

3

7 4

3

14 6

18

2

4 7

210 17

12

sq. in sq. in sq. in sq. in

sq. in sq. insq. in sq. in

442L x W = 77L x H = 88H x W = 56

221221 x 2 = 442

Surface Area SmackdownSurrffacce Arrrea SSmmmackdowwnROUND 1

Determine the winner of each boxing match by finding the surface area of each box. The box with the larger surface area is the winner. Write the surface area under each box. All measurements are given in inches. Be sure to show your work.

Remember: Surface area = 2 x [(length x width) + (length x height) + (height x width)]


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

6 243 30

12 72

4 96

12 84

10 8010 60

8 136

2 132

6 114 2 115

3 126

19

-654

-540

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MathAlgebra Algebra Action!

Value of The ExpressionA variable represents the unknown number in the expression or equation. For example, 4 x t = 12. The letter “ t ” represents the number which multiplies by 4 to equal 12.

We can �nd the value of the expression by placing the variable with the number.For example: if y = 5

Find the value of the expressions below. Show your work.

2+ 3

6

17 - 16 + 2

(3 x 5) - (6 x 2) y - 20

25 x

7 + y

7 + y

7 + 5

7 + 5 = 12

1. Put 5 in the place of y

2. Calculate it

17 - h 4 + y + 7 (12 - b) + 5

If h = 4 If y = 8 If b = 3

20 + (6 x w)(5 x m) + 1 (4 x p) x 2

If m = 6 If p = 10 If w = 3

An expression in math is a sentence containing numbers and the operations. Below are examples of expressions:


MathAlgebra Writing Expressions

With Variables

A variable is a letter (x, y, t, etc.) that represents the unknown number in an expression or equation. When a variable is next to a number, it means multiply. For example: 4t = 12 means 4 multiplied by t equals 12.

Read the sentences below and write an expression. See the example below.

The expression of division is

2+ 3

6

17 - 16 + 2

(3x) - (6x + 2) y - 20

25

y4

x

Number of letters is yDivided into 4

There are y letters in the bag. They are divided into 4 equal groups. Write an expressionof the letters after dividing.

There are 20 people in the room. They are divided into m equal groups. Write the divisionexpression of the number of people in each group.

Ashley has 25 �owers. The number of �owers Sam has is z times more than what Ashley has. Write a multiplication expression of �owers that Sam has.

A piece of wood is 20 feet long. It was cut into k equal pieces to make a track. Write a division expression of the length of each piece of wood.

Mary has p handbags. Lynn has 2 times more than Mary. Write the multiplication expression of the handbags that Lynn has.

#2


?

Example:

Find the missing values of each rectangle to �nd the area of the big rectangle.

Review: Rectangle Area = width x length

Width is the shortest side of a rectangle.Length is the longest side of a rectangle.

length (L)

width (W)

Rectangle Mania: Practice Finding Area II

1

2

3

area = 220

area = 52

10

L1

area = 48

area = 66 W2W3

4

W4

12

5 area = 90 W5

= = 22

= _________

= _________

= _________

= _________

L1

W2

W3

W4

W5

L = = ___________

W = = ___________

Total area = ____________

L

W


L

8Width = _________ft.

Area = width x length 80 = 8 x lengthTherefore, length = = _______ ft.10

Area = ________ sq.ft. 80

880

10220

area = 808

L1 W3 W4+ +

10 W2 W5+ +

MathFractions


Write down the missing numerators or denominators in the multiplication equations below.

12

14

14

x = 15

37

34

x =

12

32

14

x = 89

56

154

x =

13

15

715

x = 82

78

1416

x =

Find The Missing Numerator or Denominator

12

64

64

1 x 62 x 4

numerator

denominatorx

12

68

x = =

You can multiply a fraction with a fraction by multiplying the numerator with the numeratorand the denominator with the denominator.

Example:

69

25

1236

x = 56

85

4060

x =

14

35

1516

x = 15

45

2825

x =

Challenge

��

1. In June, Susie buys a dozen cans of Dog’s Dinner dog food at $1.89 per can. She also buys two bags of ‘Dem Bones dental chews that each cost $12.69, and a new toy for $10.25. She pays sales tax at a rate of 7.25%. What is her total cost for the month of June?

2. In July, the weather is especially hot, so Susie buys a doggie sprinkler toy for $39.95. Barksalot also needs a new collar. The collar costs $8.00. She buys another dozen cans of Dog’s Dinner dog food, as well as a new bottle of fl ea shampoo for $9.99. No prices have changed since June, and the sales tax remains the same. What is the total amount of her expenses in July?

It All Adds Up!Let’s put all your consumer math skills to the test!

Each month, Susie stocks up on pet supplies for her dog, Barksalot. See if you can calculate Susie’s monthly expenses for June, July, August, and September. Keep your work organized in the space below each problem.

3. In August, Barksalot needs a haircut. A trip for Barksalot to go to Perfect Pet’s doggie day spa costs Susie $79.50. Susie also decides to treat her pooch to a big, tasty bone for $10.50. She buys another dozen cans of Dog’s Dinner dog food, only this month, the cans are on sale for 20 percent off the regular price of $1.89 per can. Given that the sales tax rate has stayed the same, how much does Susie spend on pet expenses in August?

4. In September, it’s time for Barksalot to get his annual checkup at the vet. Barksalot needs to get his teeth brushed for $50, a rabies booster vaccination for $49, and an anti-fl ea treatment for $18. Susie has a coupon that gives her a discount of 15 percent off the vaccination. There’s no sales tax. What will be the total bill for Barksalot’s visit to the vet?


Radius (r)

Circumference (C)

Dia

met

er (d

)

FORMULAS FOR THE CIRCLE

others. �e measurements are:Area (A) �e space that is inside a circleCircumference (C) �e distance around a circleDiameter (d) �e length of a straight line going through the center of a circleRadius (r) Half the diameterPi (π) �e ratio of the circle’s circumference to its diameter. It is the same number for all circles.

A = πr

C = πd or

or d = C ∕ π

r = or r = √(A ∕ π)

Area (A) is the space inside the circle.

education.com ©

d

=

C =

Find the radius, circumference and area of this circle. Round your answers to the nearest hun-dredth.

Find the radius, diameter and area of this circle. Round your answers to the nearest hun-dredth.

Find the radius, diameter and circumference of this circle. Round your answers to the nearest hundredth.

PROBLEMS

education.com ©

Algebraic Expressions

Simplify the following expressions.

1.) 5a + 6a = 2.) 3a + a = 3.) 8a – 3a =

4.) 10a – 2a = 5.) 9a + 4a = 6.) 11a – 7a =

7.) 4b + 3b = 8.) 12b – 6b = 9.) 5b + 9b =

Complete the following expressions.

1.) 12 x 3 – 5 + 4 = 2.) 4 + 7 x 2 – 8 = 3.) 5 – 7 + 2 x 10 =

4.) 15 ÷ 3 + 8 x 5 = 5.) 11 x 3 – 12 ÷ 4 = 6.) 5 + 9 – 16 ÷ 2 =

Combine like terms to simplify the following expressions.

1.) 3a(a + 4) – 2a + 7 = 2.) 5a + 3a – 15 ÷ 3 =

3.) 4(3 + 9) + 10a – 4a = 4.) (21 ÷ 7)(4a + a) – 12 =

5.) 17 + 4(3 + a) – a = 6.) 10a – 4a + 27 ÷ 3 =

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COORDINATE PLANE

X

YA B

E G

D C

F

H

1. Translate parallelogram ABCD 2 units down and plot it. 2. Translate rhombus EFGH 2 units to the left, 4 units down, and plot it.3. If the coordinates of the vertices of a square LMNO are L(-5,-5), M(-5,-2), N(-2,-2). What are the coordinates for O?

4. If the coordinates of the vertices of a triangle XYZ are X (2,1), Y(4,4) and Z(5,2). Translate the triangle XYZ 4 units down. What are the new coordinates?

5. Write the coordinates down for the following points:

I P G Q R

S J U H K

-2

-4

4

2

-6 -4 -2 0 2 4 6

I

P

J

S

K

J

U

Q

R

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

Draw a MINI robotDraw a MINI robot

1. Let’s start with some basic shapes for the torso, arms, head...

3. finish the basic drawing... 4. Color it in and your done!...

2. Now add more shapes like triangles and half circles...

with Geometry

trapezoids

Triangles

Triangles

More Shapes

Probability: The chance that something will happen.

If you and a friend are playing rock, paper, scissors...If you and a friend are playing rock, paper, scissors...If you and a friend are playing rock, paper, scissors...If you and a friend are playing rock, paper, scissors...

1.1.1.1. What is the probability that your friend will throw a rock?

2.2.2.2. What is the probability that your friend will not throw paper?

Get together with a partner and play rock, paper, scissors. Play a total ofGet together with a partner and play rock, paper, scissors. Play a total ofGet together with a partner and play rock, paper, scissors. Play a total ofGet together with a partner and play rock, paper, scissors. Play a total of

20 times and record your data.20 times and record your data.20 times and record your data.20 times and record your data.

1. How many times was rock thrown by your partner?

A. What was the probability? / / / /

2. How many times was paper thrown by your partner?

A. What was the probability? / / / /

3. How many times was scissors thrown by your partner?

A. What was the probability? ////

4. What do these results tell you?


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

Use the greater than, less than, and equal to symbols ( >, <, = ) to compare each set of decimals.

Delicious Decimals

1. 21.070 = 21.07 2. 784.15 13.064

3. 4.863 238.479 4. 32.4 32.41

5. 0.002 .001 6. 34.578 46.2

Round each decimal to the given place.

1. round 782.164 to the nearest tenth 782.2

2. round 3.004 to the nearest whole number

3. round 943.492 to the nearest tenth

4. round 1.209 to the nearest hundredth


729 8

243 4

81 2


NUMBER PATTERNS Find out what whole number OR fraction is multiplied or divided to get the next number. Repeat the process to fill in the missing num-bers. Write down the pattern used on the blank lines to the right.Example: 8 12 18 27 x

1.

2. 5 20 80 320

3. 1250 1000 800 640 512

4. 1000 500 125

5. 11 33 99 891 8019

6. 7 56 224 448

7. 18 27

8. 2916 1296 864 576

9. 3 6 12

10. 14 56 896

11. 81 9 1

12. 1024 64 4

13. 4 256 16384

14. 2500 100 4

15. 2 162 1458

12

1128

1 16

2 81

243 2

125 4

81 2

3 2

9 2

2187 2

1 4

1 3

425

3 2( )

3 2

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


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

Skills Practice A D D I N G M I X E D F R A C T I O N S 2Practice your fraction arithmetic skills by adding the following mixed fractions. Be sure to show your work and simplify your answers.


6 37 1 2

5+ 1 34 6 6

7+= =

3 45 4 1

3+ 2 27 3 5

6+= =

6 12 4 2

3+ 2 47 3 2

3+= =

3 16 2 3

5+ = 23305 19

6135

+

+

+ ==9530

7830

17330

1

63

23305

x

+ 19 3

52

x

+ 13

x 5x 5

x 6x 6

Rewrite as improper fractions

Find least common denominator

Use the information above to answer the questions below.

A

B

C

D

E

F

3 Fractions

1/6

Probability DartsFind the portion of the dart board that each panel occupies and use your knowledge of degrees and fractions to answer the following questions about probability.

REMEMBER: Probability is the likelihood a given outcome will occur. It is expressed as a fraction.

60 /360


Is the next dart thrown more likely to hit E or F? Why?

What is the probability the next dart thrown hits a letter that comes before D alphabetically?

What is the probability the next dart thrown hits panel A, B, or D? Is it more or less than 1/2?

1

2

3

0 1020

3040

50

60

70

80

90

100

110

120

130

140150

160170180190200

210220

230

240

250

260

270

280

290

300

310

320330

340350

A

BC

E FD

46

63

72

18

18

83

54

48



Treehouse T#5Help Buster the Builder find the missing angles of the

rooms in the treehouse he is building. Remember, all interior angles in a triangle add up to 180 degrees.When you’re done, grab some coloring tools to make your new treehouse plans unique. Add decorations, furniture, appliances, and most importantly, draw yourself in there too!

56.56321 450.91365 78.59452 2.43125

56.6

Tenths

12.29531 25.12546 82.98406 61.23995

12.30

Hundredths

Mixed11.25631 164.25981 20.28315 1.99529

11.3Tenths Hundredths Tenths Hundredths

Tenths & Hundredths

#1#1Rounding off to a decimal place is like giving a number a little trim. Round each decimal off to the place shown.Remember, if the number you are rounding off is 5 or more, round up. If it is 4 or less, round down.

4 . 9 2 4

ones

Place Value Guide

tenths hundredths thousandths

M A T HM A T HM A T HD E C I M A L S




3 14 4 1

2+ 2 56 5 4

7+= =

2 35 6 1

4+ 4 23 4 1

6+= =

7 34 1 1

3+ 3 12 3 1

5+= =

1 25 3 6

7+ = 75

277

+

+

+ ==4935

13535

18435

2

51

9355

9355

x

+ 7 6

73

x

+ 27

x 7x 7

x 5x 5



30

60

90

120

150

180

210

240

270

300

330

360/0

W

NW

N

E

S

NE

SESW

tur

n 1

164

turn 2

164 - 31 = 133


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.

55

Turn Degrees

New Direction

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

164

164

31

133

19 60 130 26 76 23 257 127 45 22

What direction is the boat facing after

the last turn?N

NEE

SES

SWW

NW

4

1 35 5

3 2

2

7 4

5

7 2

12

8 6

9

5

3 11

8

6 10

7

sq. in sq. in sq. in sq. in

sq. in sq. insq. in sq. in

38

L x W =L x H =H x W =

1919 x 2 = 38

312

4

Surface Area Smackdownurrffacce Arrrea SSmmmackdowwnROUND 2

Determine the winner of each boxing match by finding the surface area of each box. The box with the larger surface area is the winner. Write the surface area under each box. All measurements are given in inches. Be sure to show your work.

Remember: Surface area = 2 x [(length x width) + (length x height) + (height x width)]



1

What is the probability that the next dart thrown hits a number that....

is greater than ?

is an even number?

is less than ?

has a pattern?

has in the one’s digit?

has a in any digit?

Probability TossUse fractions to express the probabilities of each outcome when a dart is thrown.


292929272727

19191919


6262626292929292

222

15

61 2

95/6

Find the RatiosA ratio is the comparison between two or more numbers.

Name Date

Look at the example above. There are six squares and eight stars, so the ratio of squares to stars are 6 to 8 or 6:8. We are also able to say that the ratio of stars to squares is 8 to 6 or 8:6.

We can simplify the ratio by finding the biggest common number and divide it by both numbers. The number of stars and squares is divisible by two. So 6:8 = 3:4, and 8:6 = 4:3.

Answer the questions below.

1) What is the ratio of stars to squares? ____ : ____

2) What is the ratio of circles to triangles? ____ : ____

3) What is the ratio of circles to triangles simplified? ____ : ____

4) What is the ratio of triangles to circles? ____ : ____

5) What is the ratio of triangles to circles simplified? ____ : ____


SkillsPractice

M I X E D + I M P R O P E R F R A C T I O N S

For each of the following fractions, give them the appropriate label and rewrite them in the alternate form. Show your work.

Mixed

168

574

356 1

28

476

215

345

314

325

33


7 x 4 = 2828 + 5 = 33

337

97

41

66

65

45

47

17

16





6 42

8 16 2 80

4 76

2 70

9 36

2 42 10 110

12 132

6 102

2 144

2 114

19

-436

-360


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


the last turn?N

NEE

SES

SWW

NW

Answer Sheets5th Grade Math Practice Packet

Aye, Aye, Area: #3Division: Extra Practice #9

Find the Value of the ExpressionWriting Expressions with Variables: 2

It All Adds UpPi R Squared

Algebraic ExpressionsCoordinate Plane

Comparing DecimalsNumber Patterns: Multiply or Divide

Adding Mixed Fractions with Unlike DenominatorsProbability Darts 3

Treehouse Triangles #5Rounding Decimal Places

Adding Mixed FractionsAngle Steering #5Probability Toss 1

RatiosPractice Mixed & Improper Fractions 3

Treehouse Triangles #2Long DivisionAngle Puzzle


Sail area:

11’

8’

7’

9’

15’

6’

6’

2’3’

4’

12’

8’

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

areas of the smaller triangles.

Remember, triangle area = 1/2 (base x height)

5 = ½ (6x5) = 15 square feet Triangle 2 area = 1/2 (base x height)= 1/2 (15 x 8) =1/2 x 120 = 60

Triangle 3 area = 1/2 (base x height)= 1/2 (8 x 7) =1/2 x 56 = 28


Triangle 5 area = 1/2 (base x height)= 1/2 (4x 3) =1/2 x 12 = 6


= 18+60+28+9+6+66

= 187 square feet


Aye Aye, Area!

Area

ANSWER SHEET

1.

3. 2.

6. 4. 5.

1.

2.

3.

4.

5.

6.

6

6 243 30

12 72

4 96

12 84

10 8010 60

8 136

2 132

6 114 2 115

3 126

19

-654

-540


Answer Key57.5 6

10 66 4

6 24 8

42 17 7


MathAlgebra

Algebra Action!Value of The Expression

A variable represents the unknown number in the expression or equation. For example, 4 x t = 12. The letter “ t ” represents the number which multiplies by 4 to equal 12.

We can !nd the value of the expression by placing the variable with the number.For example: if y = 5

Find the value of the expressions below. Show your work.

2+ 3

6

17 - 16 + 2

(3 x 5) - (6 x 2) y - 20

25 x

7 + y

7 + y

7 + 5

7 + 5 = 12

1. Put 5 in the place of y

2. Calculate it

17 - h

17 - h 4 + y + 7

ANSWER SHEET

4 + 8 + 7 = 1917 - 4 = 13

4 + y + 7 (12 - b) + 5

(12 - b) + 5(12 - 3) + 5 = 14

If h = 4 If y = 8 If b = 3

20 + (6 x w)

20 + (6 x w)20 + (6 x 3) = 38

(5 x m) + 1

(5 x m) + 1

(5 x 6) + 1 = 31

(4 x p) x 2

(4 x p) x 2(4 x 10) x 2 = 80

If m = 6 If p = 10 If w = 3



!"#$%&'()*" Writing Expressions

With Variables

A variable represents the unknown number in the expression or equation. For example, 4 x t = 12. The letter “ t ” represents the number which multiplies by 4 to equal 12.

Read the sentences below and write an expression. See the example.

The expression of division is

2+ 3

6

17 - 16 + 2

(3 x 5) - (6 x 2) y - 20

25

y4

20

25 x z

p x 2

m

20k

x

Number of letters is yDivided into 4

There are y letters in the bag. They are divided into 4 equal groups. Write an expressionof the letters after dividing.

There are 20 people in the room. They are divided into m equal groups. Write the divisionexpression of the number of people in each group.

Ashley has 25 owers. The number of owers Sam has is z times more than what Ashley has. Write a multiplication expression of owers that Sam has.

A piece of wood is 20 feet long. It was cut into k equal pieces to make a track. Write a division expression of the length of each piece of wood.

Mary has p handbags. Lynn has 2 times more than Mary. Write the multiplication expression of the handbags that Lynn has.

#2


A variable is a letter (x, y, t, etc.) that represents the unknown number in an expression or equation. When a variable is next to a number, it means multiply. For example: 4t = 12 means 4 multiplied by t equals 12.

(3x) - (6x + 2)

��

1. In June, Susie buys a dozen cans of Dog’s Dinner dog food at $1.89 per can. She also buys two bags of ‘Dem Bones dental chews that each cost $12.69, and a new toy for $10.25. She pays sales tax at a rate of 7.25%. What is her total cost for the month of June?

2. In July, the weather is especially hot, so Susie buys a doggie sprinkler toy for$39.95. Barksalot also needs a new collar. The collar costs $8.00. She buys another dozen cans of Dog’s Dinner dog food, as well as a new bottle of fl ea shampoo for $9.99. No prices have changed since June, and the sales tax remains the same. What is the total amount of her expenses in July?

It All Adds Up!Let’s put all your consumer math skills to the test!

Each month, Susie stocks up on pet supplies for her dog, Barksalot. See if you can calculate Susie’s monthly expenses for June, July, August, and September. Keep your work organized in the space below each problem.

12 x $1.89 = $22.682 x $12.69 = $25.381 x $10.25 = $10.25

$22.68 + $25.38 + $10.25 = $58.31

$58.31 x 7.25 = $422.75$422.75 ÷ 100 = $4.23$4.23 + $58.31 = $62.54

1 x $39.95 = $39.951 x $8.00 - $8.0012 x $1.89 = $22.681 x $9.99 = $9.99

$39.95 + $8.00 + $22.68 + $9.99 = $80.62

$80.62 x 7.25 = $584.50$584.50 ÷ 100 = $5.85$5.85 + $80.62 = $86.47

3. In August, Barksalot needs a haircut. A trip for Barksalot to go to Perfect Pet’s doggie day spa costs Susie $79.50. Susie also decides to treat her pooch to a big, tasty bone for $10.50. She buys another dozen cans of Dog’s Dinner dog food, only this month, the cans are on sale for 20 percent off the regular price of $1.89 per can. Given that the sales tax rate has stayed the same, how much does Susie spend on pet expenses in August?

4. In September, it’s time for Barksalot to get his annual checkup at the vet. Barksalot needs to get his teeth brushed for $50, a rabies booster vaccination for $49, and an anti-fl ea treatment for $18. Susie has a coupon that gives her a discount of 15 percent off the vaccination. There’s no sales tax. What will be the total bill for Barksalot’s visit to the vet?


First, calculate price of dog food:12 x $1.89 = $22.68$22.68 x 20 = $453.60$453.60 ÷ 100 = $4.54$22.68 – $4.54 = $18.14$79.50 + $10.50 + $18.14 = $108.14$108.14 x 7.25 = $784.02$784.02 ÷ 100 = $7.84$108.14 + $7.84 = $115.98

First, calculate the price of the vaccination:$49 x 15 = $735$735 ÷ 100 = $7.35$49 – $7.35 = $41.65$50 + $41.65 + $18 = $109.65

d

=

C =

Find the radius, circumference and area of this circle. Round your answers to the nearest hun-dredth.

Find the radius, diameter and area of this circle. Round your answers to the nearest hun-dredth.

Find the radius, diameter and circumference of this circle. Round your answers to the nearest hundredth.

PROBLEMS

education.com ©

r=3

C=18.84

A=28.26

r=3.19

d=6.37

A=31.97

r=3.99

d=7.98

c=25.06

Algebraic Expressions(answer sheet)

Simplify the following expressions.

1.) 5a + 6a = 11a 2.) 3a + a = 4a 3.) 8a – 3a = 5a

4.) 10a – 2a = 8a 5.) 9a + 4a = 13a 6.) 11a – 7a = 4a

7.) 4b + 3b = 7b 8.) 12b – 6b = 6b 9.) 5b + 9b = 14b

Complete the following expressions.

1.) 12 x 3 – 5 + 4 = 35 2.) 4 + 7 x 2 – 8 = 10 3.) 5 – 7 + 2 x 10 = 18

36 – 5 + 4 4 + 14 – 8 5 – 7 + 20

31 + 4 18 – 8 20 – 2

4.) 15 ÷ 3 + 8 x 5 = 45 5.) 11 x 3 – 12 ÷ 4 = 30 6.) 5 + 9 – 16 ÷ 2 = 6

5 + 8 x 5 33 – 12 ÷ 4 5 + 9 – 8

5 + 40 33 – 3 14 – 8

Combine like terms to simplify the following expressions.

1.) 3a(a + 4) – 2a + 7 = 3a² + 10a + 7 2.) 5a + 3a – 15 ÷ 3 = 8a – 5

3a² + 12a – 2a + 7 5a + 3a – 5

3.) 4(3 + 9) + 10a – 4a = 48 + 6a 4.) (21 ÷ 7)(4a + a) – 12 = 15a – 12

4(12) + 10a – 4a 3(4a + a) – 12

48 + 10a – 4a 3(5a) – 12

5.) 17 + 4(3 + a) – a = 29 + 3a 6.) 10a – 4a + 27 ÷ 3 = 6a + 9

17 + 12 + 4a – a 10a – 4a + 9

29 + 4a – a



COORDINATE PLANE

X

YA B

E G

D C

A B

D CY

Z

X

F

HE GL N

M O

F

H

1. Translate parallelogram ABCD 2 units down and plot it. 2. Translate rhombus EFGH 2 units to the left, 4 units down, and plot it.3. If the coordinates of the vertices of a square LMNO are L(-5,-5), M(-5,-2), N(-2,-2). What are the coordinates for O?

4. If the coordinates of the vertices of a triangle XYZ are X (2,1), Y(4,4) and Z(5,2). Translate the triangle XYZ 4 units down. What are the new coordinates?

5. Write the coordinates down for the following points:

I P G Q R

S J U H K

-2

-4

4

2

-6 -4 -2 0 2 4 6

I

P

J

S

K

J

U

Q

R

(-2.-5)

X(2,-3), Y(4,0), Z(5,-2)

(4,-2) (-4,-3) (5,2) (6,-4) (-2,2)

(6,4) (-2,-4) (-5,0) (1,-5) (-6,-5)

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

Use the greater than, less than, and equal to symbols ( >, <, = ) to compare each set of decimals.

Delicious Decimals

1. 21.070 = 21.07 2. 784.15 13.064

3. 4.863 238.479 4. 32.4 32.41

5. 0.002 .001 6. 34.578 46.2

Round each decimal to the given place.

1. round 782.164 to the nearest tenth 782.2


3. round 943.492 to the nearest tenth

4. round 1.209 to the nearest hundredth


>

< <

> <

3

943.5

1.21

40

729 8

243 4

81 2


NUMBER PATTERNS Find out what whole number OR fraction is multiplied or divided to get the next number. Repeat the process to fill in the missing num-bers. Write down the number pattern on the right blank lines.Example: 8 12 18 27 x

1.

2. 5 20 80 320

3. 1250 1000 800 640 512

4. 1000 500 125

5. 11 33 99 891 8019

6. 7 56 224 448

7. 18 27

8. 2916 1296 864 576

9. 3 6 12 24 48 96 192

10. 14 56 896

11. 81 9 1

12. 1024 64 4

13. 4 256 16384

14. 2500 100 4

15. 2 162 1458

12

1128

1 16

2 81

243 2

125 4

81 2

125 2

125 8

125 16

3 2

9 2

2187 2

1 4

1 3

425

3 2( )

x 3 10 40 160 640 x 2

x ( )

250 ÷ 2

297 2673 x 3

14 28 112 896 x 2

8 12 x ( )

4374 1944 384 256 x ( )

x 2

7 28 112 224 448 x 2

27 3 ÷ 3

256 16 1 ÷ 4

32 2048 x 8

12500 500 20 ÷ 5

18 13122 118098 x 9

234 4

23

1 16

1 2

2 9

702 8

2106 16

3 2

1 9

4 5

127

27 2

4 5

3125 2

11 3

2048 5

8192 25

81 2

729 2

3 2



6 37 1 2

5+ 1 34 6 6

7+= =

3 45 4 1

3+ 2 27 3 5

6+= =

6 12 4 2

3+ 2 47 3 2

3+= =

3 16 2 3

5+ = 23305 19

6135

+

+

+ ==9530

7830

17330

1

63

23305

x

+ 19 3

52

x

+ 13

x 5x 5

x 6x 6



29367 17

288

54262

158

1611 5

216

ANSWERS

35

Use the information above to answer the questions below.

A

B

C

D

E

F

3 Fractions

1/6

Probability DartsFind the portion of the dart board that each panel occupies and use your knowledge of degrees and fractions to answer the following questions about probability.


60 /360


Is the next dart thrown more likely to hit E or F? Why?

What is the probability the next dart thrown hits a letter that comes before D alphabetically?

What is the probability the next dart thrown hits panel A, B, or D? Is it more or less than 1/2?

1

2

3

0 1020

3040

50

60

70

80

90

100

110

120

130

140150

160170180190200

210220

230

240

250

260

270

280

290

300

310

320330

340350

A

BC

E FD

1/9

1/18

1/9

1/4

1/3

1/6 + 1/9 + 1/18 = 1/3

1/6 + 1/9 + 1/19 = 7/18 7/18 is less than 1/2

ANSWERS

F - It is more like to hit panel F because 1/3 is greater than 1/4

46

63

72

18

18

83

54

48

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


Help Buster the Builder �nd the missing angles of the rooms in the treehouse he is building. Remember, all interior angles in a triangle add up to 180 degrees.When you’re done, grab some coloring tools to make your new treehouse plans unique. Add decorations, furniture, appliances, and most importantly, draw yourself in there too!

ANSWER S

144

71

25 4878

56.56321 450.91365 78.59452 2.43125

56.6 450.9 78.6 2.4

25.13 82.98 61.24

164.26 20.3 2.00

Tenths

12.29531 25.12546 82.98406 61.23995

12.30

Hundredths

Mixed11.25631 164.25981 20.28315 1.99529

11.3Tenths Hundredths Tenths Hundredths

Tenths & Hundredths

#1Rounding off to a decimal place

is like giving a number a little

trim. Round each decimal off to

the place shown.

Remember, if the number you are

rounding off is 5 or more, round

up. If it is 4 or less, round down.

4 . 9 2 4

ones

Place Value Guide

tenths hundredths thousandths

M A T HM A T H

D E C I M A L S




3 14 4 1

2+ 2 56 5 4

7+= =

2 35 6 1

4+ 4 23 4 1

6+= =

7 34 1 1

3+ 3 12 3 1

5+= =

1 25 3 6

7+ = 75

277

+

+

+ ==4935

13535

18435

2

51

9355

9355

x

+ 7 6

73

x

+ 27

x 7x 7

x 5x 5



347 17

428

56817

208

1129 7

106

ANSWERS

30

60

90

120

150

180

210

240

270

300

330

360/0

W

NW

N

E

S

NE

SESW

tur

n 1

164

turn 2

164 - 31 = 133



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.

55

Turn Degrees

New Direction

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

164

164

31

133

19 60 130 26 76 23 257 127 45 22

114 174 304 330 254 277 20 147 102 80

Answer Sheet

10

11

12

9

8

7

6

5

4

3


the last turn?N

NEE

SES

SWW

NW

1

What is the probability that the next dart thrown hits a number that....

is greater than ?

is an even number?

is less than ?

has a pattern?

has in the one’s digit?

has a in any digit?

Probability TossUse fractions to express the probabilities of each outcome when a dart is thrown.


292929272727

19191919


6262626292929292

222

15

61 2

95/6

3/6

4/6 5/6

2/6

3/6

ANSWERS

Find the RatiosA ratio is the comparison between two or more numbers.

Name Date

Look at the example above. There are six squares and eight stars, so the ratio of squares to stars are 6 to 8 or 6:8. We are also able to say that the ratio of stars to squares is 8 to 6 or 8:6.

We can simplify the ratio by finding the biggest common number and divide it by both numbers. The number of stars and squares is divisible by two. So 6:8 = 3:4, and 8:6 = 4:3.

Answer the questions below.

1) What is the ratio of stars to squares? ____ : ____

2) What is the ratio of circles to triangles? ____ : ____


4) What is the ratio of triangles to circles? ____ : ____

5) What is the ratio of triangles to circles simplified? ____ : ____


3 6

6 23 1

6 122

21

16:33:6

oror

SkillsPractice

M I X E D + I M P R O P E R F R A C T I O N S

For each of the following fractions, give them the appropriate label and rewrite them in the alternate form. Show your work.

Mixed

168

574

356 1

28

476

215

345

314

325

3


7 x 4 = 2828 + 5 = 33

154 4

56

256 3

47

496

337

335

172

467

ANSWERS

Mixed Mixed Mixed

Mixed Improper Improper

ImproperImproper

97

41

66

65

45

47

17

16





ANSWER S

147

49

88

42

6 42

8 16 2 80

4 76

2 70

9 36

2 42 10 110

12 132

6 102

2 144

2 114

19

-436

-360


21 11

11 2 40

4 7 72

57 35 17

Answer Key

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

5th grade math practice packet - wins for translate this...

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