Fun 5-Minute Math Practice Pages Grades 6-8

Fun 5-Minute Math Practice Pages Grades 6 8 By Denise Kiernan

S

C

H

O

L

A

S

T

I

C

PROFESSIONALBOOKS New York Mexico City

Toronto

■ ■

■

London

New Delhi

■

■

Auckland

Hong Kong

■

■

Sydney

Buenos Aires

Scholastic Inc. grants teachers permission to photocopy the designated reproducible pages from this book for classroom use. No other part of this publication may be reproduced in whole or in part, or stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without written permission of the publisher. For information regarding permission, write to Scholastic Inc., 555 Broadway, New York, NY 10012. Cover design by Gerard Fuchs Cover illustration by Mike Moran Interior design by Solás Interior illustrations by Mike Moran ISBN 0-439-29469-X Copyright © 2002 by Denise Kiernan Printed in the U.S.A. All rights reserved. 1 2 3 4 5 6 7 8 9 10

40

02 03 04 05 06 07 08 09

Contents Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Mountains of Math . . . . . . . . . . . . . . . . . . . . . . . . 5 Skill: Multiplication Fishing for Remainders . . . . . . . . . . . . . . . . . . . . . 6 Skill: Division Savings Multiplication . . . . . . . . . . . . . . . . . . . . . . 7 Skill: Order of operations Camp Average . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 Skill: Mean, median, and mode If the Shoe Fits . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 Skill: Lowest common multiples “Stock”ing Up on Fractions. . . . . . . . . . . . . . . . . . 10 Skill: Comparing fractions Some Fractions Are Created Equal . . . . . . . . . . . . . 11 Skill: Equivalent fractions Freddy’s Fraction Swap Meet. . . . . . . . . . . . . . . . . 12 Skill: Adding and subtracting fractions Whole in One. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Skill: Adding and subtracting fractions And the Winner Is . . . . . . . . . . . . . . . . . . . . . . . . 14 Skill: Averaging and ranking decimals Marathon Math . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 Skill: Rate and time Attention All Shoppers! . . . . . . . . . . . . . . . . . . . . . 16 Skill: Adding and subtracting decimals Thanksgiving Inflation . . . . . . . . . . . . . . . . . . . . . 17 Skill: Multiplying with decimals Decimals in Space! . . . . . . . . . . . . . . . . . . . . . . . . 18 Skill: Multiplying with decimals Per “Cents”! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Skill: Percents Household Help From Decimals . . . . . . . . . . . . . . . 20 Skill: Percents and fractions Math Tax! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 \Skill: Computing with percents Fraction Magic . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 Skill: Converting fractions into decimals The Case of the Missing Angle . . . . . . . . . . . . . . . 23 Skill: Geometry, triangles Sports Time!. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Skill: Circle graphs

Squaring Squares . . . . . . . . . . . . . . . . . . . . . . . . . 26 Skill: Squaring Recipe for Math Success . . . . . . . . . . . . . . . . . . . . 27 Skill: Multiplying fractions Mixed Number Mix-Up . . . . . . . . . . . . . . . . . . . . . 28 Skill: Multiplying fractions Flipping Fraction Flapjacks! . . . . . . . . . . . . . . . . . 29 Skill: Dividing fractions Pass the Fractions, Please! . . . . . . . . . . . . . . . . . . 30 Skill: Dividing fractions Year-End Sale! . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 Skill: Comparing fractions, decimals, and percents Recycling Percents . . . . . . . . . . . . . . . . . . . . . . . . 32 Skill: Comparing fractions, decimals, and percents Math’s Got It Covered . . . . . . . . . . . . . . . . . . . . . . 33 Skill: Geometry, area and perimeter of rectangles and squares Pyramid Paint Job! . . . . . . . . . . . . . . . . . . . . . . . . 34 Skill: Geometry, area of triangles Math Goes Round and Round . . . . . . . . . . . . . . . . 35 Skill: Geometry, circumference and area of circles Pooch Pools . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 Skill: Geometry, complex shapes and areas Tornado Time . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Skill: Charts Touchdown Math! . . . . . . . . . . . . . . . . . . . . . . . . 38 Skill: Algebra First-Rate Math. . . . . . . . . . . . . . . . . . . . . . . . . . . 39 Skill: Rate Bugging Out with Scale . . . . . . . . . . . . . . . . . . . . 40 Skill: Scale Soda Pop Proportions . . . . . . . . . . . . . . . . . . . . . . 41 Skill: Proportions Metric Madness . . . . . . . . . . . . . . . . . . . . . . . . . . 42 Skill: Measurement, metric conversion Putting it All Together . . . . . . . . . . . . . . . . . . . . . 43 Skill: Word problems The Last Word . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 Skill: Word problems Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45

Coordinate Scavenger Hunt . . . . . . . . . . . . . . . . . 25 Skill: Coordinate points

3

Introduction Welcome to Fun 5-Minute Math Practice Pages, a great way to reinforce basic math skills! The exercises in this resource can be used for assessment, review, test preparation, or practice. The Table of Contents lists each practice page and the skill that it covers. The pages have been written with the latest NCTM (National Council of Teachers of Mathematics) Principles and Standards in mind. Each page includes simple, clear directions for the students, allowing them to complete the pages independently. The pages also work well as homework assignments or for extra credit. I hope you’ll find that the activities are useful and fun math practice for your students and that they provide you with additional math practice options throughout the school year.

Fun 5-Minute Math Practice Pages Scholastic Professional Books

Enjoy!

4

Multiplication Name ______________________________________________ Date ___________________

Mountains of Math It’s a long way to the top—have you packed your math? Start with each climber's number and multiply it by the number written on the first flag. Write the answer you get on the blank near the flag. Then take that answer and multiply it by the number on the next flag. Continue multiplying until you get to the top of the mountain.

1.

3. (5)

______

(4)

(3)

______


(4)

(2)______

(4)

(3)

______

(2)

______

______

______

(1)

______

4.

(5)______

(5)

______

(4)

(2) (3)

______

______

(1)

2.

(5)

______

______

______

(3)

(1)

______

______

(2)

______

(1)

______

______

5

Division Name ______________________________________________ Date ___________________

Fishing for Remainders Can you help these fish get ready for the annual Ocean Waves Dunk and Dive Derby? Each school of fish has to divide into teams, and not everyone will get to compete. There must be exactly 13 fish on each team. Find out how many teams will compete from each school and how many fish will be waiting on the bench. 1. Waterville High Guppies: 1,874 fish Number of teams_________ Remainder_________

2. Bay Area Starfish: 2,744 fish Number of teams_________ Remainder_________

3. Pacific High Sharks: 899 fish Number of teams_________ Remainder_________

4. Reef Central Sea Horses: 2,222 fish

5. Mid-Atlantic Swordfish: 1,960 fish Number of teams_________ Remainder_________

How many fish in all will be on the bench? _______________________

6


Number of teams_________ Remainder_________

Order of operations Name ______________________________________________ Date ___________________

Savings Multiplication Saving for a rainy day? Well, start with just a few cents, and before you know it, it could be pouring! That is, if you use a little multiplication. Here’s how: 1. Start by saving 1 penny. 2. Each day, save 2 times as much as you did the day before.

Day

Amount Saved That Day

Total Amount Saved

1 2 3 4 5 6 7 8 9 10 11 12 Fun 5-Minute Math Practice Pages Scholastic Professional Books

13 14 15 16 17 18 19 20 How much would you save after 20 days? ____________

7

Mean, median, and mode Name ______________________________________________ Date ___________________

Camp Average Averages are everything here at Camp Average. Help these campers find the mean, mode, and median of their groups. If necessary, round your answer to the nearest tenth.

1. Group 1 Mean __________ Mode __________ Median ________


3. Group 3 Mean __________ Mode __________


8


Median ________

Lowest common multiples Name ______________________________________________ Date ___________________

If the Shoe Fits . . . Help our shopkeeper get his pairs of shoes back together. Draw a line to match each shoe with two numbers to the shoe that has the lowest common multiple of those two numbers. 3, 4

10

15, 10

18

8, 10

20

48

9, 4

8, 6

30


5, 10

12

7, 5

36

6, 9

24, 16

4, 10

40

35

24

9

Comparing fractions Name ______________________________________________ Date ___________________

“Stock”ing Up on Fractions These stocks are quite a bargain, but which is the least expensive and which is the most expensive? To find out, you’ll need to compare the fractions by changing them to like fractions. Then, rank the companies from 1 to 8, 1 being the cheapest and 8 the most expensive.

DVDs ‘R Us Stock value:

2.

6 __ 16

1 __ 4

Stock value:

5 __ 12

6.

7.

Rank:_____

Rank:_____

5 __ 8

Rank:_____

Coast to Coast Rollercoasters, Ltd.

Stock value:

8.

2 __ 3

Computer Cats Software

Stock value:

Rank:_____

Cheesy Charlie’s Pizza

Worldwide Waterslide Co.

Stock value:

Rank:_____

Turbo Track Shoe Sellers, Inc.

Stock value:

4.

Rank:_____

Popcorn Emporium

Stock value:

3.

3 __ 5

5.

7 __ 9

Rank:_____

Raging Rock West Coast Concert Promotions

Stock value:

5 __ 10

Rank:_____

Which stock is most expensive? _______________________________ Which stock is cheapest? _______________________________________

10


1.

Equivalent fractions Name ______________________________________________ Date ___________________

Some Fractions Are Created Equal


These fractions have lost their dance partners. But that’s okay—you can play matchmaker by using equivalent fractions. Draw a line from each fraction to its equivalent.

11

Adding and subtracting fractions Name ______________________________________________ Date ___________________

Freddy’s Fraction Swap Meet Freddy is ready to make a swap. Are you? He begins by giving away a portion of the fractions he arrived with for another fraction. Continue trading fractions until the end of the swap meet. Freddy arrived at the Saturday Swap Meet with his fraction 2

3 __ . 8

1 3 __ __ He gives Leo 4 in exchange for 8. 3 __ 1 1. 2 __ – = ____ 8 4 3 = _____ 2. Your answer from above + __ 8

He gives Lucy

2 1 __ __ in exchange for 5 . 2

3. _____ – _____ = _____ 4. _____ + _____ = _____ 2 4 __ __ He gives Ariel 5 in exchange for 5 .

5. _____ – _____ = _____

1 1 __ __ He gives Mikey 3 in exchange for 4 .

7. _____ – _____ = _____ 8. _____ + _____ = _____

2 4 __ __ He gives Diane 6 in exchange for 3 .

9. _____ – _____ = _____ 1 0. _____ + _____=

_____

At the end of the swap meet, what fraction is Freddy left with? ___________

12


6. _____ + _____ = _____

Adding and subtracting fractions Name ______________________________________________ Date ___________________

Whole in One On this course, the whole is the goal! Each of our players is starting with the number 7. As each competitor moves through the course, different fractions are subtracted from his or her total. Write your answers in the blanks provided as you go along. The runner who arrives at a whole number first, wins. Fearless Felix

- _5_ 16

1 -_ 2

_______

-

1 _ 8

_______ - _6_ 24

_______ 11 - __ 16

_ -3 8

_______ 4_ -7

_______

_______ _ -5 8

_______ 7 - __ 18

_______ _______

Rapid Rosa - _3_ 8


1 -_ 4

_______

_______ _ -7 12

_______

3 __ 36

_______ - _3_ 11

5 - __ 24

_______ 1_ -4

_______ 1 - __0 40

_______ 1 - __ 4

_______

_______ Which runner won? __________________

13

Averaging Name ______________________________________________ Date ___________________

And the Winner Is . . . It’s the finals of the skating competition and the scores are in! But wait a minute —they haven’t been averaged yet. You can help. First find the average score for each skater. If necessary, round the score to the nearest hundredth. Then rank the skaters according to their score. The skater with the highest score wins. Write the answers in the blanks provided. Icemaster Ike Scores: 8.7 5.5 9.0 5.6 6.8 7.2 4.5 7.9 6.7 8.2 Average: __________

Alexandra Glider Scores: 5.8 7.6 4.9 8.8 7.9 6.6 5.9 4.7 6.6 5.5 Average: __________

Double-Axle Dave Scores: 4.4 5.5 6.6 7.7 8.8 9.9 6.7 7.6 8.7 9.8

Ima S. Kater Scores: 6.5 7.4 2.9 9.8 9.9 6.5 8.7 7.4 5.8 8.7 Average: __________

________________ First Place

14

________________ Second Place

________________ Third Place

________________ Fourth Place


Average: __________

Rate and time Name ______________________________________________ Date ___________________

Marathon Math On your mark, get set . . . GO! Who’ll win our math marathon? To find out, use the clues given below to calculate how long it will take each of our runners to finish the race. A marathon is 26.2 miles long. Use the boxes to do your calculations. Better get started! 1. Carrie runs the first mile in 6 minutes, the next 5 miles at a rate of 6 minutes and 30 seconds per mile, and the rest of the race at a rate of 7 minutes per mile.

How long does it take Carrie to finish the race? _______________

2. Samantha runs every mile at the same rate, 6 minutes and 45 seconds.

How long does it take Samantha to finish the race? _____________


3. Taylor runs the first 13 miles at a rate of 6 minutes and 10 seconds per mile, and the last 13.2 miles at a rate of 7 minutes and 10 seconds per mile.

How long does it take Taylor to finish the race? _______________

Who finished first?__________________________

15

Adding and subtracting decimals Name ______________________________________________ Date ___________________

Attention All Shoppers! It’s coupon day and our shoppers are ready to rack up the savings! Both arrived at the store with $50. How much money will each one have left? Add up item costs and subtract coupon amounts for each shopper\. Then answer the question below.

Shopper Number 1:

Amount spent $________

Amount saved $________

Amount left $________

Amount saved $________

Amount left $________

Amount spent $________

There are different ways to do this activity. Which way did you do it? ______________________ ____________________________________________________________________________________ ____________________________________________________________________________________ ____________________________________________________________________________________

16


Shopper Number 2:

Multiplying decimals Name ______________________________________________ Date ___________________

Thanksgiving Inf lation Want to re-create the first Thanksgiving? All you need are a hundred or so guests and lots of food. At today’s prices, this feast will cost you big bucks! How much? Read the table below and fill in the prices by multiplying the number needed by pounds per item and cost per pound.


Item

Number of Items Needed

Pounds Per Item

Price Per Pound

Turkey

14

16

$4.50

Lobster

140

1.25

$7.99

Goose

20

12

$3.89

Rabbit

47

2

$4.79

Venison (deer)

5

100

$12.99

Cornbread

700

1

$3.66

Pumpkin

14

10

$1.09

Total Price

What is the total cost of the meal? ____________________ Source: The New York Times

17

Multiplying decimals Name ______________________________________________ Date ___________________

Decimals in Space! How much do you weigh on Jupiter? Well, you don’t have to hop on the next rocket ship to find out. All you need is a little math and our “Cosmic Conversion Chart.” Read each question below. Then use the conversion chart to find the answers. Write your answers in the spaces provided. 1. Astronaut Angela weighs 135 pounds on Earth. How much does she weigh on…

4. Say a dune buggy for planet driving weighs

a. the Moon? __________

2,380 pounds on Earth. How much would it weigh on…

b. Uranus? ____________

a. Pluto? ______________

c. Mars? ______________

b. Neptune?____________ c. Venus?______________

2. A backpack full of school books weighs

5. How much would you weigh on each of

13.4 pounds on Earth. How much does it weigh on…

these different planets?

a. Jupiter? ____________

Jupiter_______ Saturn______ Uranus______

b. Mercury? __________

Neptune______ Pluto________

Mercury_______Venus_______ Mars_______

c. the Sun? ____________

3. The American flag and pole that were placed on the moon weighed 8.5 pounds on Earth. a. How much did they weigh on the Moon? ____________ b. How much would they weigh on Saturn? ____________

18

Planet, Sun, or Moon Sun Mercury Venus Earth Moon Mars Jupiter Saturn Uranus Neptune Pluto

Multiply weight on Earth by… 27.90 .38 .91 1.00 .17 .38 2.36 .92 .89 1.12 .07


Cosmic Conversion Chart

Percents Name ______________________________________________ Date ___________________

Per “Cents”! These cents make sense when it comes to working with percents! Remember: There are 100 cents in every dollar, so calculating percents with money is a snap! Read the questions below and look at the group of coins listed, then calculate what percent each group of coins is equal to. 1. =

_____ percent of $1?

=


2. 3. =


4. =


=


=


=


=


=


=


5. 6.


7. 8. 9. 10.

19

Percents and fractions Name ______________________________________________ Date ___________________

Household Help From Decimals

3 __ 4

38% can be used to relieve a toothache

1 2. powdered milk __

60% can help get gum out of your hair

3 3. petroleum jelly __

52% can soothe a sunburn

1. vinegar

3

5

4. cola

5 __ 6

25% can dry up pimples

5. hot sauce

3 __ 8

78% can relieve itching from chicken pox

6. salt

5 __ 9

75% can eliminate kitchen odors

7. yogurt

15 __ 29

33% can be used as house paint

8. oats

7 __ 9

83% can be used to clean your toilet bowl

9. toothpaste

1 __ 4

56% can be used to keep fleas away Source: “Paint Your House With Powdered Milk” and “Polish Your Furniture With Panty Hose” by Joey Green.

20


Some people have some pretty smart—and pretty strange—uses for things around the house. Here are just a few. Match each percent to its fraction equivalent and you’ll find a wacky use for some common household items. When necessary, round up to the nearest percent.

Computing with percents Name ______________________________________________ Date ___________________

Math Tax! You finally got that after-school job and here comes your first paycheck. But wait— some of your money is missing! That’s taxes. To find out how much these kids had to pay in taxes, use math to calculate.

1. Alan makes $150 a month and gets taxed 15%. a. How much money does he have to pay in taxes? ____________ b. How money does he get to take home? ____________

2. Erin makes $300 a month. a. How much would she make in one year if no taxes were taken out? ____________ b. How much would she bring home in one month if she is taxed 17%? ____________ c. How much would she take home in one year if she is taxed 17%? ____________ d. How much in taxes would Erin pay in one year? ____________

3. Sarah lives near the state line and has a part-time job in each of two states.


In one state, she makes $200 a month and gets taxed 16%. In the other state, she makes $150 a month and gets taxed 14%. a. How much money did Sarah earn altogether in one month, before she paid her taxes? _________________ b. How much did Sarah pay in taxes on the $200 she earned? ____________ c. How much did Sarah pay in taxes on the $150 she earned? ____________

4. Cary wants to save enough money to buy a used car that costs $1,500. He makes $325 a month before taxes. He is taxed 18%. a. How much money does he get to keep each month? ____________ b. How many months will it take for him to save up enough money to buy the car? _________________

21

Converting fractions into decimals Name ______________________________________________ Date ___________________

Fraction Magic Can you perform some fraction magic! For your first trick, try changing these fractions into decimals. If necessary, round each decimal to the hundredths place. Then, rank the decimals from smallest to largest by writing them from left to right in the blanks provided. And for your grand finale, use the key below to complete the riddle. You’re on! Fraction Decimal

2.

1 __ 2

2 __ 3

2 __

______ ______

5

______

4.

5 __

______

5.

4 __

______

6.

7 __ 10

______

7.

11 __ 13

______

8.

8 __

______

8 __

______

7 10. __

______

3.

9.

8 9

15 9

12

Rank the decimals from smallest to largest:

____ ____ ____ ____ ____ ____ ____ ____ ____ ____ T H B T A E E L F R Q: What does Mr. Fraction call Mrs. Fraction? A: My “ ___ .5

22

___ ___ .67 .4

___ ___ .53 .63

___ .89

___ .44

___ ___ .58 .7

___ “! .85


1.

Geometry: triangles Name ______________________________________________ Date ___________________

The Case of the Missing Angle The search is on. These triangles are all different, but they have one thing in common—each is missing an angle! Where could these angles be? Not to worry. Our detective is hot on the case and you can help her out. First, look at each triangle. Determine what size angle will complete that triangle. Then, write the letter of the angle on the line near the triangle it completes. 60˚

1.

79˚

?

90˚

5. ?

________

37˚

________ ?

?

2.

6.

75˚ 70˚

________

93˚

45˚


100˚

20˚

7.

________

?

e. 29˚

64˚

________

?

3.

a.

58˚

b.

43˚

f.

c.

60˚

g.

45˚

90˚

________ 35˚ 36˚

?

4.

92˚

________

45˚

8.

108˚

?

d.

36˚

h.

30˚

________ 23

Circle graphs Name ______________________________________________ Date ___________________

Sports Time! How much time do you spend each week playing sports? One hour? Two? Maybe even three? Before you answer that question, take a look at the results of one survey. Use the graph to answer the questions below. You will be asked to give your answers in fractions or percents. Be sure your fractions are in lowest terms.

1. What fraction of kids play sports 2 to 5 hours a week? ____________

2. What fraction of kids play sports 8 or more hours a week? ____________

3. What percent of kids play sports 0 to 5 hours a week? ____________

4. What fraction of kids play sports 0 to 5 hours a week? ____________

5 or more hours a week? ____________

6. What fraction of kids play sports 5 or more hours a week? ____________

Amount of Time Kids Spend Playing Sports Each Day

8 or more hours 0 to 2 hours 24% 26%

7. What percent of kids play sports up to 8 hours a week? ____________

8. What fraction of kids play sports up to 8 hours a week? ____________

24

5 to 8 hours 21% 2 to 5 hours 29%


5. What percent of kids play sports

Coordinate points Name ______________________________________________ Date ___________________

Coordinate Scavenger Hunt This coordinate grid map may not show you how to get to an airport, but it will show you where to find a skateboard! Read each question and look at the grid. Write the name of the item or the coordinates in the blanks provided.

•

•

3 2

•

•

1

•

0

–1

• –6

–5

–4

• –3

–2

–1

• 0

1

2

3

4

–2

5

6

–3


1. What is located at (–4, –2)? __________________________________________________________ 2. Where is the mountain located (give coordinates)? ____________________________________ 3. Where is the skateboard? __________________________________________________________ 4. What is located at (–3, 1)? ________________________________________________________ 5. What will you find at (0, 3)? ______________________________________________________ 6. Where can you go to find the treasure chest? ________________________________________ 7. What will you find at (–6, 3)? ______________________________________________________ 8. Where is the bike located? ________________________________________________________ 25

Squaring Name ______________________________________________ Date ___________________

Squaring Squares What do you do to the length of a side of a square to find its area? Square it, of course! First, look at the length of the side for each square below. Then square that number to find the area of the square. Write your answer inside each square. Then use your answers to solve the riddle below. 3 in.

1.

9 in.

11 in.

5.

6.

10 in.

3. (T) 4 in.

4.

5 in.

2. (R)

(I)

(O) 12 in.

9.

8.

(D)

(Q) 13 in.

10. 8 in.

6 in.

7.

(S) 7 in.

(U) 15 in.

12.

11.

(E)

Q: What did one quadrilateral say to the other? A: You’re ____ ____ “____ ____ ____ ____ ____ ____”! 36

26

81

169 121 64 225 16

49

(A)


(L)

(S)

Multiplying fractions Name ______________________________________________ Date ___________________

Recipe for Math Success Mmmm. You finally found the perfect tortilla recipe for your party. But wait—this recipe only makes 12 tortillas and you need more than that. What do you do? Multiply fractions, that’s what! The chart below gives you the ingredients to make one batch of tortillas. Multiply the amount of each ingredient by the number of batches listed below to increase the recipe.

Ingredient

Amount needed for 1 batch (12 tortillas)

Amount needed for 3 batches (36 tortillas)

Amount needed for 5 batches (60 tortillas)

Amount needed 1 for 6 __ batches 2 (78 tortillas)

1 1 __ cups 3

__________

__________

__________

2 __ cup 3

__________

__________

__________

3. Salt

3 __ teaspoon 4

__________

__________

__________

4. Baking powder

1 __ teaspoon 2

__________

__________

__________

5. Vegetable

1 __ cup 4

__________

__________

__________

6. Hot water

2 cup __ 3

__________

__________

__________

1. All-purpose Fun 5-Minute Math Practice Pages Scholastic Professional Books

flour

2. Whole-wheat flour

shortening

27

Multiplying fractions Name ______________________________________________ Date ___________________

Mixed Number Mix-Up These mixed numbers sure are mixed up! To straighten them out, first, rewrite each mixed number correctly and in the lowest terms. Then multiply. Next, make sure your answers are again written as mixed numbers and in the lowest terms. Finally, answer the questions at the bottom of the page.

Rewrite Problem

Answer

1.

1

7 __ 4

x

1

1 __ 8

____________________

_____________

2.

__ 3 17 6

x

5 2 __ 3

____________________

_____________

3.

1

1 __ 9

x

3

9 __ 5

____________________

_____________

4.

10

7 1 __ 5

____________________

_____________

5.

5

31 __ 8

x

18 2 __ 7

____________________

_____________

6.

6 9 __ 5

x

__ 8 11 5

____________________

_____________

__ x 5 20 9

__ 7 10 7

____________________

_____________

20 __ 11

____________________

_____________

7. 8. 9.

7 __ x 3

19 1 __ 8

x 4

Which one of these problems could represent the area of a rectangle with a 1 and a width of 2 __ 2 ? ___________ length of 12 __ 3 5

10. Which one of these problems could represent the area of a square with a side length of 10

28

1 __ ? ___________ 5


Mixed-Up Mixed Numbers

Dividing fractions Name ______________________________________________ Date ___________________

Flipping Fraction Flapjacks! Reciprocals are easy when you have a cook to flip your fractions for you! Look at each division problem written on the pancakes below. In the second column, rewrite each problem. Be sure to flip the second fraction each time. Then, write the answer on the line provided, and convert your answers to mixed numbers in lowest terms. We did the first one for you.


Problem

Rewrite the Problem

1.

7 __

–:

1 __

2.

1 __

–:

1 __

3.

1 __

–:

1 __

4

1 __ 32

–:

5.

4 __

6.

5 __ 3

–:

7.

6 __ 4

–:

8.

7 __

8

3

4

5

1

3

9

–:

–:

4

=

7 __ 8

x

4 __ 1

Answer =

28 __ 8

1 = 3 __ 2

=

x

=

___________

=

x

=

___________

=

x

=

___________

=

x

=

___________

2 __ 23

=

x

=

___________

1 __ 32

=

x

=

___________

=

x

=

___________

5

8

2 __ 3

1 __ 7

1 __ 6

29

Dividing fractions Name ______________________________________________ Date ___________________

Pass the Fractions, Please! Our cooks are ready to serve up some super chow, but they’re not quite sure how many servings they have of each tasty treat. But they do know the amount of food they have and what each serving size should be. You can help them figure out the rest by dividing fractions. For each food item listed below, divide the total amount of food by the serving size. Your answer will be the number of servings. Write it in the space provided. Serving Size

Number of Servings

3 1. 8 __ cups vegetable soup

1 1__ cups 4

_____________

3 2. 3 __ cups beef stew

3 cup __ 4

_____________

1 3. 3 __ cups peas

1 cup __ 8

______________

1 cups carrots 4. 7 __

11 __ cup 12

_____________

5. 8 __ cups rice 4

3 cups 1__ 8

_____________

1 6. 3 __ cups chocolate pudding

5 cup __ 9

_____________

4

4

2

3

1

3

If each guest gets at least one serving of everything, how many guests are there? _____________

30


Total Amount

Comparing fractions, decimals, and percents Name ______________________________________________ Date ___________________

Year-End Sale! It’s the big year-end close-out sale! How much can you save? Fractions are the key to your shopping success and savings. For each item below, look at the price and the discount. Then write the amount of money you’ll save and the final price of each item in the blanks provided.


Item

Original Price

Discount

Amount Saved

New Price

1. Jeans

$24.00

2 __ off 3

______________

______________

2. Tennis shoes

$38.00

43% off

______________

______________

3. Sweaters

$28.00

3 __ off 8

______________

______________

4. Tank tops

$12.00

15% off

______________

______________

5. Shorts

$18.00

1 __ off 4

______________

______________

6. Skirts

$29.00

22% off

______________

______________

7. Dresses

$34.00

4 __ off 7

______________

______________

8. T-shirts

$14.00

9% off

______________

______________

9. Overalls

$36.00

3 __ 11

off

______________

______________

10. Jackets

$41.00

19% off

______________

______________

11. Hats

$12.00

20% off

______________

______________

12. Gloves

$16.00

8% off

______________

______________

13. Dress shoes

$49.00

1 __ off 6

______________

______________

14. Vests

$32.00

1 __ off

______________

______________

15. Coats

$85.00

30% off

______________

______________

8

31

Comparing fractions, decimals, and percents Name ______________________________________________ Date ___________________

Recycling Percents We're not just talking trash . . . . These trash facts will amaze you. First solve the problem. Draw a line from each problem to its correct answer. Then write the answer to the question in the blank provided. 1. 15% of 80 = _____________

12: 75,000

How many trees are used to make all the copies of the Sunday New York Times each week? _____________

2. 12% of 75 = _____________ How much trash in pounds does the average American throw away each day? _____________

3. 25% of 660 = _____________ Since 1960, the amount of trash in pounds thrown away by average Americans each year has increased how much? _____________

4. 35% of 120 = _____________

7: 250 million

442: about

1 __ 3

9: 4 pounds

A Styrofoam package left on the side of the road would take how many years to decompose? _____________

5. 64% of 200 = _____________

8: 8 million

6. 8% of 100 = ___________

165: 130 million tons

About how many million miles of aluminum foil is used in the United States each year? _____________

7. 85% of 520 = _____________

42: more than 100 years

What fraction of newspapers printed in America are recycled? _____________

8. 14% of 50 = _____________ How many million tires do Americans throw away each year? _____________

32

128: 2.5 million


In just one hour, about how many million plastic soda bottles are thrown away in the United States? _____________

Geometry: area and perimeter of rectangles and squares Name ______________________________________________ Date ___________________

Math’s Got It Covered Bundle up! Our quilt of math has got you covered. How much area will it cover exactly? That’s for you to find out—using area and perimeter formulas. First, look at the length and width of each patch. Then, find the area and the perimeter of each square or rectangle. Finally, write your answers in the blanks within each patch. 6 in.

5 in. 4 in.

7 in.

2 in.

3

4

1

P = _____

A = _____

8 in.

8 in.

2

9 in.

5

6 in. P = _____

A = _____

P = _____

P = _____

A = _____

A = _____

P=

_____ 3 in.

10 in. 2 in.

5 in. P = _____


3 in.

A = _____

P = _____

6 in.

5 in. 11 in.

3 in. 11

A = _____

P = _____

A = _____

A = ___

2 in.

7 in.

A = _____ 9

8

P = _____

6

10

3 in. 3 in. P = _____

3 in. 12

3 in. P = _____ A = _____

A = _____

2 in. 13 3 in.

A=

7

P = ___

_____ 2 in. 4 in. 15 P= _____ A= _____

4 in.

14

P = ___

P = _____ 3 in.

A = ___

A = _____

What is the perimeter of the entire quilt? _______________________ What is the area of the entire quilt? _____________________________

33

Geometry: area of triangles Name ______________________________________________ Date ___________________

Pyramid Paint Job! It’s time for a new paint job. How much area do our painters need to cover? Each side of a pyramid is a triangle. First, find the area of each triangle. Then find the total surface area of each pyramid. Write your answers on the blanks provided. 1.

Area of triangle: _____________ Area of pyramid:

Area of triangle:

5.

_____________

_____________ B = 5 ft. H = 10 ft.

B = 7 ft. H = 8 ft.

Area of pyramid: _____________

2. Area of triangle:

6.

_____________

_____________ B = 8 ft. H = 12 ft.

B = 4 ft. H = 7 ft.


B = 9 ft. H = 6 ft.

Area of triangle: _____________ B = 4 ft. H = 11 ft.


_____________

Area of triangle:

7.

3.

Area of pyramid:

_____________ Area of pyramid: _____________

8. Area of triangle: _____________

Area of triangle:

4.

_____________ B = 14 ft. H = 6 ft.

Area of pyramid:

B = 12 ft. H = 13 ft.


_____________ 1 (bh) Area of a triangle = __ 2

34


Area of triangle:

Geometry: circumference and area of circles Name ______________________________________________ Date ___________________

Math Goes Round and Round Whew! All these circles are getting me dizzy! They’re everywhere! How big are they? That’s for you to find out. Look at the measurement given for each circle. Use that measurement to find the remaining information. Write your answers on the blanks provided. Leave your answers in terms of pi. 1. Truck tire

4. Tricycle wheel

d = 4 ft.

d = 4 in.

r = ________

r = ________

c = ________

c = ________

a = ________

a = ________

5. Lollipop d = 2 in. r = ________

2. Car tire d = ________ r = 1.5 ft. c = ________ a = ________

c = ________ a = ________

6. Buggy wheel d = ________ r = 2.5 in.


c = ________ a = ________

3. Bicycle d = ________ r = 10 in.

7. Hula hoop

c = ________

d = ________

a = ________

r = 3 ft. c = ________ a = ________

Circumference = pi(r+r) Area = pi(r2)

35

Geometry: area of complex shapes Name ______________________________________________ Date ___________________

Pooch Pools These aren’t your ordinary dogs. These pampered pooches have their own pools. How big are the pools? Use the measurements below to find the total area of each dog’s pool. Write your answers in the space provided.

L = 3 ft. W = 7 ft.

W = 3 ft.

1. What is the area of the rectangle? _______________

B = 3 ft. H = 4 ft.

What is the area of the square?

_______________

What is the area of the triangle? _______________ What is the total area?

_______________

L = 8 ft. W = 4 ft.

2. What is the area of the rectangle? _______________ What is the area of the square?

W = 6 ft.

What is the area of the triangle? _______________ What is the total area?

36

_______________

_______________


B = 6 ft. H = 8 ft.

Charts Name ______________________________________________ Date ___________________

Tornado Time We have measurements for lots of different things. But have you ever wondered how to measure the strength of something as powerful as a tornado? Well, scientists use the Fujita scale to do just that. The Fujita Scale is printed here. First read through it. Then, use the information to answer the questions below. Write your answers in the blanks provided. Fujita Scale Rating

FUJITA SCALE

Wind Speed

F–0

40–72 mph

Can break the limbs off trees and uproot small trees

F–1

73–112 mph

Can peel the roof off a house and push a car across the ground

F–2

113–157 mph

Can destroy a mobile home, uproot large trees, and throw light objects

F–3

158–206 mph

Can wreck the wall of a building and overturn a train

F–4

207–260 mph

Can destroy a home, blow down small structures, and throw cars

F–5

261–318 mph

Can throw and completely demolish a home, throw a car more than 300 yards, and tear the bark off trees

1. A tornado’s wind speed is measured at 142 miles per hour. What is its rating? ____________________

2. An F-3 tornado is being tracked. Fun 5-Minute Math Practice Pages Scholastic Professional Books

Damage Level

a. What is its fastest possible wind speed? ______________________ b. What is its slowest possible wind speed? ______________________

4. A storm begins with winds of 35 mph. Soon winds have picked up to 50 mph. Finally, winds are at 110 mph. a. When was the storm first considered a tornado? __________________________ b. What was its initial Fujita rating? _____ c. What was its final Fujita rating? ______

5. A tornado starts out with winds of 62 mph. a. What is its rating? __________________

3. A tornado hits, and the damage is being assessed. A lot of trash cans have been blown around and a few houses have roof damage. a. What would you estimate the rating of this tornado to be? _________________ b. What is its fastest possible wind speed? ______________________

b. What is the most its wind speed can increase for it to remain at that rating? ________________________ c. How much faster must its wind speed get to be rated an F–2? _________________ d. What is the most its wind speed can increase to remain an F–2? __________

37

Algebra Name ______________________________________________ Date ___________________

Touchdown Math! Let the games begin! Football games that is. Use the information in the box to figure out the winners in these games. T F X C S

= = = = =

touchdown field goal extra point two-point conversion safety

= = = = =

6 3 1 2 2

points points point points points

Game 1 Knights 1T + 2F = ________ Rockets 1T + 3S + 1C = ________ Winners: _________________

Eagles

2T + 1C + X = ________

Bears

4T + 3X + 1C = ________

Stars

3T + 3X = ________

Kings

5T + 2X + 3C = ________

Winners: _________________

Game 3

Winners: _________________

Game 5

Sharks

2T + 3F + 2X = ________

Mustangs 3T + 2X + 1C + 2F = ________

Tanks

1T + 4F + 1C + 2S = ________

Lions

Winners: _________________

38

Game 4

2T + 2X + 3F + 2S= ________

Winners: _________________


Game 2

Rate Name ______________________________________________ Date ___________________

First-Rate Math


The race is over! But we’re not going to tell you who won. We’ll tell you how far they drove and how long it took them to do it. The rest is up to you. First, look at the distance of each driver’s race and the amount of time it took him or her to finish. Then, divide the distance by the time to get the rate. Round your answers to the nearest thousandth. Finally, rank the drivers from fastest to slowest.

Luis the Lapper

Cruisin’ Carol

Distance = .25 miles

Distance = .8 miles

Time

= 6 seconds

Time

= 10 seconds

Rate

= ___________

Rate

= ___________

Speedy Sam

Debbie Dragster



Time

= 8 seconds

Time

= 11 seconds

Rate

= ___________

Rate

= ___________

__________ __________ __________ __________

Rate = Distance Time

First Place Second Place Third Place Fourth Place

39

Scale Name ______________________________________________ Date ___________________

Bugging Out With Scale These are some big bugs! Don’t worry—they’re just models made with a lot of creativity and a lot of math. What kind of math? Scale. Use scale to answer each of the questions below. 1. A ladybug is .75 inches long. The model ladybug is 200 times as long, or is built on a scale of 1/200. How big is the model? _______________

2. Your pet beetle is 1.91 inches wide. The model of him is 195 times as wide, or on a scale of 1/195. How many inches wide is the model? _______________

3. Your beetle is 1.28 inches tall. a. Using the same scale as in question 2, how tall is the model of your beetle? ___________ b. Using a scale of 1/210, how tall is the model of your beetle? _______________

4. A model is made of a locust. The real locust is 1.5 inches long. The scale used to make the model is 1/250.

5. The wingspan on the real locust is 2.5 inches. a. Using the scale from above, what is the wingspan on the model? _______________ b. If you used a scale of 1/300, what would be the wingspan of the model? _____________

6. Now work backwards. The model of the praying mantis was built on a scale of 1/360. a. The model is 792 inches tall. How tall is the real praying mantis? _______________ b. The model is 1,332 inches long. How long is the real praying mantis? _______________

40


How long is the locust model? _______________

Proportions Name ______________________________________________ Date ___________________

Soda Pop Proportions You’ve never had sodas that pop like these! What makes them so special? The secret ingredient, that’s what. What is the secret ingredient? We can’t tell you that, but we will tell you how much secret ingredient you need for one bottle of each of the eight flavors. Time to head to the test kitchen to mix up a few batches. All you need are proportions to do the rest. Read the information below. Then set up and solve proportions to complete the chart.


Flavor

Amount of Secret Ingredient Per Bottle

Number of Bottles Needed

Amount Needed

1. Elixir

.37 ounces

125

__________________

2. Slurpfest

.22 ounces

210

__________________

3. Taste Tester

.53 ounces

150

__________________

4. Yummalicious

.09 ounces

175

__________________

5. Fizzy Lizzy

.48 ounces

260

__________________

6. Yikes!

.34 ounces

245

__________________

7. 2 Too Much

.67 ounces

520

__________________

8. Slammin’

.43 ounces

480

__________________

41

Measurement: metric conversion Name ______________________________________________ Date ___________________

Metric Madness Do you know how many kilograms you weigh? What about how many meters tall you are? Well, our metric conversion chart should help. Use it to answer the following questions. Write your answers on the blanks provided. 1. A football field is 100 yards long. How many meters long is that? ____________________________________

4. Roger used to weigh 120 pounds. Now he weighs 59 kilograms. a. Did he lose or gain weight?

2. You’re driving 100 kilometers per hour. The speed limit is 55 miles per hour. a. Are you going over the speed limit? ______________________________ b. How much faster or slower are you going in miles per hour? ______________ c. How much faster or slower are you going in kilometers per hour? __________________________________

__________________________ b. How many pounds, more or less, does he weigh? ______________________ c. How many kilograms, more or less, does he weigh? ____________________

5. Which costs less: 12 pounds of strawberries for $15, or 9 kilograms for $20? ______________

a. Who is taller, George or Drake? __________________________________ b. What is their height difference in inches? ____________________________ c. What is their height difference in centimeters? ________________________

42

Some Metric Conversions (Multiply to convert) 1 inch 1 centimeter 1 kilogram 1 pound 1 meter 1 foot 1 kilometer 1 mile

= = = = = = = =

2.54 centimeters .39 inch 2.2 pounds .45 kilogram 3.28 feet .3 meter .62 mile 1.6 kilometers

1 yard

=

.9 meter


3. George is 6'5" tall. Drake is 2.1 meters tall.

Word problems Name ______________________________________________ Date ___________________

Putting It All Together Use all of your math knowledge to answer to find the solutions to these problems. 1. This season, Robbie took 84 free-throw shots. He made 12. a. What fraction did he make? __________________________________________________ b. What percentage did he miss? ________________________________________________

2. A blouse that cost $20 goes on sale for $15. What is the percent decrease in price? ____________________________________________ 3 __

3. You need 1 8 cups of sugar for 1 batch of cookies. a. How much do you need for 5 batches? ________________________________________ 1 __ b. 6 2 batches? ______________________________________________________________ 3 batches? ______________________________________________________________ c. 7 __ 4

4. Rachel sees beans on special, 5 cans for $2. Another brand is 35 cents a can. a. Which costs less? ____________________________________________________________ b. What is the difference in price? ________________________________________________

5. Roger is painting the outside of his garage. It is 30 feet long and 25 feet high. Fun 5-Minute Math Practice Pages Scholastic Professional Books

a. What is size of the area that he is painting? ______________________________________ b. For every 15 square feet that he will paint, Roger needs 1 gallon of paint. How many gallons will he need to paint the garage? ________________________________

6. Mr. Calvert’s class is raising money for a local charity. They raised $2,450 all together,

1 __ this amount by selling raffle tickets, and 8 from their bake sale. They raised the rest of the money by holding a car wash. 1 __ 2

a. What fraction of the money was raised from the car wash? ________________________ b. What percent of the money was raised from the car wash? ________________________ c. What percent of the money was raised from the bake sale? ________________________ d. How much money was raised from the bake sale? ________________________________

43

Word problems Name ______________________________________________ Date ___________________

The Last Word Use all of your math knowledge to answer to find the solutions to these problems. 1. Al is making a model of city hall. His model is 1/200 the height of the real building. a. If the model is 3 feet tall, what is the actual height of the real building? ________________ b. If the actual width of a window is 24 feet, what is the width of the window on the model? Give your answer in inches. ______________________________________________________

2. A sumo wrestler is trying to gain weight for a big match. His weight increases from 300 pounds to 350 pounds. a. What is the percent increase in his weight?________________________________________ b. There are 2.2 pounds in 1 kilogram. What was his initial weight in kilograms?__________ c. What is his new weight in kilograms? ____________________________________________

3. It takes 754 bags of food per year to feed the 18 elephants at the zoo. The number of

1 elephants at the zoo increases by __ . 6 a. How many elephants are there now? ____________________________________________

b. How many bags of food will be needed to feed them all? ____________________________

4. Larry is on a road trip. In the first 30 minutes, he drives 32 miles. In the next 30 minutes, a. What is his rate, in miles per hour, for the first half hour? ____________________________ b. What is his rate, in miles per hour, for the second half hour? ________________________ c. How far did he drive in the entire hour? __________________________________________ d. What is his rate in miles per hour for the entire hour? ______________________________

5. Jack takes a 555-minute flight. a. How long is the flight in hours and minutes? ______________________________________ b. Approximately 38% of the flight was over water. How much time, in hours, minutes, and seconds was spent flying over water?____________________________________

44


he drives 29 miles.

Answer Key

Answer Key Page 5 • Mountains of Math 1. climber number 17: 51; 408; 2,448; 29,376; 264,384

14

8,192

15

16,384

32,767

16

32,768

65,535

2. climber number 14: 98; 196; 980; 10,780; 43,120

17

65,536

131,071

18

131,072

262,143

3. climber number 21: 63; 819; 4,095; 12,285; 110,565

19

262,144

524,287

20

524,288

1,048,575

4. climber number 18: 72; 144; 720; 10,080; 30,240 Page 6 • Fishing for Remainders Waterville High Guppies: number of teams: 144 remainder: 2 Bay Area Starfish: number of teams: 211 remainder: 1 Pacific High Sharks: number of teams: 69 remainder: 2 -Reef Central Sea Horses: number of teams: 170 remainder: 12 Midatlantic Swordfish: number of teams: 150 remainder: 10 27 fish are on the bench.

Fun, 5-Minute Math Skills Practice Pages Scholastic Professional Books

Page 7 • Savings Multiplication (answers in pennies) Day

Amount Saved That Day

Total Amount Saved

1

1

1

2

2

3

3

4

7

4

8

15

5

16

31

6

32

63

7

64

127

8

128

255

9

256

511

10

512

1,023

11

1,024

2,047

12

2,048

4,095

13

4,096

8,191

16,383

Total saved in dollars: $10,485.75 Page 8 • Camp Average 1. mean: 7.43; mode: 4; median: 7 2. mean: 7.6; mode: 12; median: 6 3. mean: 7.1; mode: 2; median: 8 4. mean: 8.1; mode: 7; median: 7 Page 9 Correct 3, 4 15, 10 8, 10 9, 4 8, 6 5, 10 7, 5 6, 9 24, 16 4, 10

• If the Shoe Fits... matches are: 12 30 40 36 24 10 35 18 48 20

Page 10 • ”Stock”ing Up on Fractions 1. 5 2. 2 3. 1 4. 3 5. 7 6. 6 7. 10 8. 4 Coast to Coast Rollercoasters, Ltd. is the most expensive.

Page 11 • Some Fractions Are Created Equal Equivalent fractions are: 5 , __ 8 3 , __ 16

15 __ 24 6 __ 32

4 , __ 5 4 , __ 11

16 __ 20 20 __ 55

1 , __ 3 7 __ , 13

7 __ 21 21 __ 39

2 , __ 7 4 __ , 9

8 __ 28 20 __ 45

Page 12 • Freddy's Fraction Swap Meet 5 1 1 2 __ – __ = 2 __ 1. 8 4 8 1 3 1 __ __ 2. 2 + = 2 __ 8 8 2 1 1 __ – __ =2 3. 2 2 2 2 2 4. 2 + __ = 2 __ 5 5 2 4 3 5. 2 __ – __ = 1 __ 5 5 5 3 2 6. 1 __ + __ = 2 5 5 1 2 7. 2 – __ = 1 __ 3 3 2 1 __ + __ = 1 11 __ 8. 1 3 4 12 2 11 7 __ – __ = 1 __ 9. 1 12 6 12 7 16 11 23 __ + __ = 1 __ = 2 __ 10. 1 12 12 12 12 At the end of the swap meet, 11 Freddy has 2 __. 12

Turbo Track Shoe Sellers, Inc. is cheapest.

45

Answer Key

Rapid Rosa 1 27 – __ = __ 4 4 3 51 – __ = __ 8 8 3 151 – __ = ___ 36 24 5 73 – __ = __ 24 12 7 11 – __ = __ 12 2 1 21 – __ = __ 4 4 1 – __ = 5 4 It took Rosa 7 obstacles. Fearless Felix is the winner. Page 14 • And the Winner Is... Icemaster Ike average: 7.01 Alexandra Glider average: 6.43 Double-Axle Dave average: 7.57 Ima S. Kater average: 7.36 First Place: Double-Axle Dave Second Place: Ima S. Kater Third Place: Icemaster Ike Fourth Place: Alexandra Glider

46

Page 15 • Marathon Math 1. 3 hours, 5 minutes, 30 seconds 2. 2 hours, 55 minutes, 30 seconds 3. 2 hours, 53 minutes, 20 seconds Taylor finished first. Page 16 • Attention All Shopper 1 spent $21.96, saved $2.41, and has $28.04 left over. Shopper 2 spent $21.25, saved $3.57, and has $28.75 left over. Answers describing ways to do this activity will vary, but students should explain their method clearly. Page 17 • Thanksgiving Inflation Turkey Lobster Goose Rabbit Venison (deer) Cornmeal Pumpkin The total cost of $12,999.71

$1,008.00 $1,398.25 $933.60 $450.26 $6,495.00 $2,562.00 $152.60 the meal is

Page 18 • Decimals in Space! 1. a. 22.95 pounds; b. 120.15 pounds; c. 51.3 pounds 2. a. 31.62 pounds; b. 5.09 pounds; c. 373.86 pounds 3. a. 1.45 pounds; b. 7.82 pounds 4. a. 166.6 pounds; b. 2,665.6 pounds; c. 2,165.8 pounds 5. Answers will vary. Page 19 • Per “Cents”! 1. 35% 6. 25% 2. 55% 7. 23% 3. 18% 8. 7% 4. 17% 9. 4% 5. 6% 10. 10%

Page 20 • Household Help From Decimals 1. 75% 6. 56% 2. 33% 7. 52% 3. 60% 8. 78% 4. 83% 9. 25% 5. 38% Page 21 • Math Tax! 1. a. $22.50 b. $127.50 2. a. $3,600.00 b. $249.00 c. $2,988.00 d. $612.00 3. a. $350.00 b. $32.00 c. $21.00 4. a. $266.50 b. almost 6 Page 22 • Fraction Magic 1. .5 2. .67 3. .4 4. .63 5. .44 6. .7 7. .85 8. .53 9. .89 10. .58 Ranked in order from smallest to largest: .4 .44 .5 .53 .58 .63 .67 .7 .85 .89 Q: What does Mr. Fraction call Mrs. Fraction? A: My “better half”! Page 23 • The Case of the Missing Angle 1. h 5. a 2. g 6. e 3. c 7. f 4. b 8. d


Page 13 • Whole in One Fearless Felix 1 13 – __ = __ 2 2 5 99 – __ = __ 16 16 1 97 – __ = __ 8 16 11 43 – __ = __ 16 8 3 40 – __ = __ = 5 8 8 It took Felix 5 obstacles.

Answer Key Page 24 • Sports Time! 29 ___ 100 6 __ 2. 25 1.

5. 45% 6.

3. 55% 4.

9 __ 20

7. 76%

11 __ 20

8.

19 __ 25

Page 25 • Coordinate Scavenger Hunt 1. laptop computer 2. (5,1) 3. (3,0) 4. car 5. roller blades 6. (0,-3) 7. soccer ball 8. (4,-2) Page 26 • Squaring Squares 1. 9 7. 36 2. 16 8. 144 3. 81 9. 169 4. 25 10. 64 5. 121 11. 49 6. 100 12. 225 Q: What did one quadrilateral say to the other? A: You’re so “square”! Page 27 • Recipe for Math Success 2 1 1. 4 cups; 6 __ cups; 8 __ cups 3

3

1 3

1 3


2. 2 cups; 3 __ cups; 4 __ cups 1 4

3 4

3. 2 __ teaspoons; 3 __ teaspoons; 4

7 __ teaspoons 8

1 2

4. 1 __ teaspoons; 2

1 __ 2

1 4

teaspoons; 3 __ teaspoons 5.

3 1 5 __ cup; 1 __ cups; 1__ cups 4 4 8 1 3

1 3

6. 2 cups; 3 __ cups; 4 __ cups

Page 28 • Mixed Number Mix-Up 3 1 3 1. 2 __ x 1 __ 3 __ 4 8 32 5 2 7 __ x 3 __ 21 __ 2. 5 6 3 18 1 4 1 3. 1 __ x 4 __ 5 __ 9 5 3 1 2 3 __ __ x2 29 __ 4. 12 3 5 5 7 4 4 5. 8 __ x 4 __ 40 __ 8 7 7 1 1 1 __ __ x 10 104 __ 6. 10 5 5 25 2 3 55 __ x 8 __ 60 __ 7. 7 9 7 63

Page 31 • Year-End Sale! 1. $16 $8 2. $16.34 $21.66 3. $10.50 $17.50 4. $1.80 $10.20 5. $4.50 $13.50 6. $6.38 $22.62 7. $19.43 $14.57 8. $1.26 $12.74 9. $9.82 $26.18 10. $7.79 $33.21 11. $2.40 $9.60 12. $1.28 $14.72 13. $8.17 $40.83 14. $4.00 $28.00 15. $25.50 $59.50

3 9 8. 3 __ x 5 __ 8 11

Page 32 • Recycling Percents 1. 12: 75,000 2. 9: 4 pounds 3. 165: 130 million tons 4. 42: more than 100 years 5. 128: 2.5 million 6. 8: 8 million 1 7. 442: about __ 3 8. 7: 250 million

55 19 __ 63

9. Number 4 10. Number 6 Page 29 • Flipping Fraction Flapjacks! 7 4 1 __ = 3 __ 1. __ x __ = 28 8 1 8 2 1 5 5 2 __ x __ = __ = 1 __ 2. 3 1 3 3 1 8 8 __ x __ = __ = 2 3. 4 1 4 7 3 21 1 __ __ x = __ = 5 __ 4. 2 2 4 4 4 7 28 3 __ x __ = __ = 5 __ 5. 5 1 5 5 16 3 __ = 2 6. __ x __ = 48 3 8 24 27 2 54 13 7. __ x __ = __ = 1 __ 4 7 28 14 7 6 42 2 __ __ x = __ = 4 __ 8. 9 1 9 3 Page 30 • Pass the Fractions, Please! 1. 7 2. 5 3. 28 4. 8 5. 6 6. 6 There are 5 guests.

Page 33 • Math’s Got It Covered 1. a = 20 sq. in.; p = 18 in. 2. a = 48 sq. in.; p = 28 in. 3. a = 56 sq. in.; p = 30 in. 4. a = 18 sq. in.; p = 22 in. 5. a = 30 sq. in.; p = 22 in. 6. a = 20 sq. in.; p = 24 in. 7. a = 6 sq. in.; p = 10 in. 8. a = 15 sq. in.; p = 16 in. 9. a = 18 sq. in.; p = 18 in. 10. a = 21 sq. in.; p = 20 in. 11. a = 33 sq. in.; p = 28 in. 12. a = 9 sq. in.; p = 12 in. 13. a = 6 sq. in.; p = 10 in. 14. a = 12 sq. in.; p = 14 in. 15. a = 8 sq. in.; p = 12 in. Area = 320 sq. in.; perimeter = 72 in.

47

Answer Key

Page 35 • Math Goes Round and Round 1. d = 4 ft.; r = 6 ft.; c = 12 pi; a = 36 pi 2. d = 3 ft.; r = 1.5 ft.; c = 3 pi; a = 2.25 pi 3. d = 20 in.; r = 10 in.; c = 20 pi; a = 100 pi 4. d = 4 in.; r = 2 in.; c = 4 pi; a = 4 pi 5. d = 2 in.; r = 1 in.; c = 2 pi; a = 1 pi 6. d = 5 in.; r = 2.5 in.; c = 5 pi; a = 6.25 pi 7. d = 6 ft.; r = 3 ft.; c = 6 pi; a = 9 pi Page 36 • Pooch Pools 1. Area of rectangle = 21 sq. ft. Area of square = 9 sq. ft. Area of triangle = 6 ft. Total area = 36 sq. ft. 2. Area of triangle = 24 sq. ft. Area of rectangle = 32 sq. ft Area of square = 36 sq. ft. Total area = 92 sq. ft. Page 37 • Tornado Time 1. F-2 2. a. 206 mph b. 158 mph 3. a. F-1 b. 112 mph 4. a. When winds reach 50 mph. b. F-0; c. F-1

48

5. a. F-0; b. 10 mph; c. 51 mph d. 95 mph from its initial speed of 62 Page 38 • Touchdown Math! Game 1: Knights 12; Rockets 14 Winners: Rockets Game 2: Eagles 15; Stars 21 Winners: Stars Game 3: Sharks 23; Tanks 24 Winners: Tanks Game 4: Bears 29; Kings 38 Winners: Kings Game 5: Mustangs 28; Lions 27 Winners: Mustangs Page 39 • First-Rate Math Luis the Lapper = .042 miles per second Speedy Sam = .094 miles per second Cruisin' Carol = .08 miles per second Debbie Dragster = .05 miles per second First Place: Luis Second Place: Debbie Third Place: Carol Fourth Place: Sam

Page 42 • Metric Madness 1. 90 meters 2. a. yes; b. 7 miles per hour faster than the limit; c. 11.2 3. a. Drake; b. about 5.5 inches; c. about 14 centimeters 4. a. gain; b. He weighs about 9.8 pounds more. c. He weighs about 4.5 kilograms more. 5. 9 kilograms for $20 (Explain that some answers may vary slightly due to rounding.) Page 43 • Putting it All Together: Word Problems 1. a.

1 __ b. 86% 7

2. 25% 7 8

__ 3. a. 6 __ cups; b. 8 15 __ cups cups; c. 10 21

16

32

4. a. 35 cents a can; b. 5 cents per can 5. a. 750 square feet; b. 50 gallons 3 6. a. __ ; b. 37.5%; c. 12.5%; 8

d. $306.25 Page 40 • Bugging Out With Scale 1. 150 inches 2. 372.45 inches 3. a. 249.6 inches b. 268.8 inches 4. 375 inches 5. a. 625 inches b. 750 inches 6. a. 2.2 inches b. 3.7 inches Page 41 • Soda Pop Proportions 1. 46.25 ounces 2. 46.2 ounces 3. 79.5 ounces 4. 15.75 ounces 5. 124.8 ounces 6. 83.3 ounces 7. 348.4 ounces 8. 206.4 ounces

Page 44 • The Last Word 1. a. 600 feet; b. 1.44 inches 2. a. 17%; b. 136.36 kilograms; c. 159.1 kilograms 3. a. 21 b. about 880 4. a. 64 mph; b. 58 mph; c. 61 miles; d. 61 mph 5. a. 9 hours, 15 minutes; b. 3 hours, 30 minutes, 54 seconds


Page 34 • Pyramid Paint Job! 1. triangle = 25 sq. ft.; pyramid = 100 sq. ft. 2. triangle = 48 sq. ft.; pyramid = 192 sq. ft. 3. triangle = 22 sq. ft.; pyramid = 88 sq. ft. 4. triangle = 42 sq. ft.; pyramid = 168 sq. ft. 5. triangle = 28 sq. ft.; pyramid = 112 sq. ft. 6. triangle = 14 sq. ft.; pyramid = 56 sq. ft. 7. triangle = 27 sq. ft.; pyramid = 108 sq. ft. 8. triangle = 78 sq. ft.; pyramid = 312 sq. ft.

Fun 5-Minute Math Practice Pages Grades 6-8

Recommend Documents