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Fun 5-Minute Math Practice Pages
Grades 6 8
By Denise Kiernan
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S C H O L A S T I C
BPROFESSIONAL OOKS
Scholastic Inc. grants teachers permission to photocopy the designated reproducible pages from this book for classroomuse. No other part of this publication may be reproduced in whole or in part, or stored in a retrieval system, or transmittedin 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 FuchsCover illustration by Mike Moran
Interior design by SolásInterior 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
3
ContentsIntroduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
Mountains of Math . . . . . . . . . . . . . . . . . . . . . . . . 5Skill: Multiplication
Fishing for Remainders . . . . . . . . . . . . . . . . . . . . . 6Skill: Division
Savings Multiplication . . . . . . . . . . . . . . . . . . . . . . 7Skill: Order of operations
Camp Average . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8Skill: Mean, median, and mode
If the Shoe Fits . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9Skill: Lowest common multiples
“Stock”ing Up on Fractions. . . . . . . . . . . . . . . . . . 10Skill: Comparing fractions
Some Fractions Are Created Equal . . . . . . . . . . . . . 11 Skill: Equivalent fractions
Freddy’s Fraction Swap Meet. . . . . . . . . . . . . . . . . 12Skill: Adding and subtracting fractions
Whole in One. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13Skill: Adding and subtracting fractions
And the Winner Is . . . . . . . . . . . . . . . . . . . . . . . . 14Skill: Averaging and ranking decimals
Marathon Math . . . . . . . . . . . . . . . . . . . . . . . . . . . 15Skill: Rate and time
Attention All Shoppers! . . . . . . . . . . . . . . . . . . . . . 16Skill: Adding and subtracting decimals
Thanksgiving Inflation . . . . . . . . . . . . . . . . . . . . . 17Skill: Multiplying with decimals
Decimals in Space! . . . . . . . . . . . . . . . . . . . . . . . . 18Skill: Multiplying with decimals
Per “Cents”! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19Skill: Percents
Household Help From Decimals . . . . . . . . . . . . . . . 20Skill: Percents and fractions
Math Tax! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21\Skill: Computing with percents
Fraction Magic . . . . . . . . . . . . . . . . . . . . . . . . . . . 22Skill: Converting fractions into decimals
The Case of the Missing Angle . . . . . . . . . . . . . . . 23Skill: Geometry, triangles
Sports Time! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24Skill: Circle graphs
Coordinate Scavenger Hunt . . . . . . . . . . . . . . . . . 25Skill: Coordinate points
Squaring Squares . . . . . . . . . . . . . . . . . . . . . . . . . 26Skill: Squaring
Recipe for Math Success . . . . . . . . . . . . . . . . . . . . 27Skill: Multiplying fractions
Mixed Number Mix-Up . . . . . . . . . . . . . . . . . . . . . 28Skill: Multiplying fractions
Flipping Fraction Flapjacks! . . . . . . . . . . . . . . . . . 29Skill: Dividing fractions
Pass the Fractions, Please! . . . . . . . . . . . . . . . . . . 30Skill: Dividing fractions
Year-End Sale! . . . . . . . . . . . . . . . . . . . . . . . . . . . 31Skill: Comparing fractions, decimals, and percents
Recycling Percents . . . . . . . . . . . . . . . . . . . . . . . . 32Skill: Comparing fractions, decimals, and percents
Math’s Got It Covered . . . . . . . . . . . . . . . . . . . . . . 33Skill: Geometry, area and perimeter of rectangles and squares
Pyramid Paint Job! . . . . . . . . . . . . . . . . . . . . . . . . 34Skill: Geometry, area of triangles
Math Goes Round and Round . . . . . . . . . . . . . . . . 35Skill: Geometry, circumference and area of circles
Pooch Pools . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36Skill: Geometry, complex shapes and areas
Tornado Time . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37Skill: Charts
Touchdown Math! . . . . . . . . . . . . . . . . . . . . . . . . 38Skill: Algebra
First-Rate Math. . . . . . . . . . . . . . . . . . . . . . . . . . . 39Skill: Rate
Bugging Out with Scale . . . . . . . . . . . . . . . . . . . . 40Skill: Scale
Soda Pop Proportions . . . . . . . . . . . . . . . . . . . . . . 41Skill: Proportions
Metric Madness . . . . . . . . . . . . . . . . . . . . . . . . . . 42Skill: Measurement, metric conversion
Putting it All Together . . . . . . . . . . . . . . . . . . . . . 43Skill: Word problems
The Last Word . . . . . . . . . . . . . . . . . . . . . . . . . . . 44Skill: Word problems
Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
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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.
Enjoy!
Introduction
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Multiplication
Name ______________________________________________ Date ___________________
Mountains of MathIt’s a long way to the top—have you packed your math? Start with each climber'snumber and multiply it by the number written on the first flag. Write the answeryou get on the blank near the flag. Then take that answer and multiply it by thenumber on the next flag. Continue multiplying until you get to the top of themountain.
(1)______
(2)______(3)______
(4)______
(5)______
(1)______
(2)______
(4)______
(3)______
(5)______
(1)______
(2)______(3)______
(4)______
(5)______
(1)______
(2)______
(4)______
(5)______
(3)______
1. 3.
2. 4.
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Division
Fishing for RemaindersName ______________________________________________ Date ___________________
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 competefrom each school and how many fish will be waiting on the bench.
1. Waterville High Guppies: 1,874 fishNumber of teams_________ Remainder_________
2. Bay Area Starfish: 2,744 fishNumber of teams_________ Remainder_________
3. Pacific High Sharks: 899 fishNumber of teams_________ Remainder_________
4. Reef Central Sea Horses: 2,222 fishNumber of teams_________ Remainder_________
5. Mid-Atlantic Swordfish: 1,960 fishNumber of teams_________ Remainder_________
How many fish in all will be on the bench? _______________________
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
13
14
15
16
17
18
19
20
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Order of operations
Name ______________________________________________ Date ___________________
Savings Multiplication
How much would you save after 20 days? ____________
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Mean, median, and mode
Camp AverageName ______________________________________________ Date ___________________
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 ________
2. Group 2
Mean __________
Mode __________
Median ________
3. Group 3
Mean __________
Mode __________
Median ________
4. Group 4
Mean __________
Mode __________
Median ________
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Lowest common multiples
Name ______________________________________________ Date ___________________
If the Shoe Fits . . .Help our shopkeeper get his pairs of shoes back together. Draw a line to match eachshoe with two numbers to the shoe that has the lowest common multiple of thosetwo numbers.
5, 10
6, 9
7, 5
9, 4
4, 10
8, 6
8, 10
24, 16
12
30
24
48
35
20
36
18
40
103, 4
15, 10
1.
Stock value: Rank:_____
2.
Stock value: Rank:_____
3.
Stock value: Rank:_____
4.
Stock value: Rank:_____
5.
Stock value: Rank:_____
6.
Stock value: Rank:_____
7.
Stock value: Rank:_____
8.
Stock value: Rank:_____
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Comparing fractions
“Stock”ing Up on FractionsName ______________________________________________ Date ___________________
These stocks are quite a bargain, but which is the least expensive and which is themost expensive? To find out, you’ll need to compare the fractions by changingthem to like fractions. Then, rank the companies from 1 to 8, 1 being the cheapestand 8 the most expensive.
Which stock is most expensive? _______________________________
Which stock is cheapest? _______________________________________
DVDs ‘R Us
Popcorn Emporium
Turbo Track Shoe Sellers, Inc.
Cheesy Charlie’s Pizza
Worldwide Waterslide Co.
Computer Cats Software
Coast to CoastRollercoasters, Ltd.
Raging Rock West CoastConcert Promotions
__35
__616
__14
__512
__23
__79
__58
__510
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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 itsequivalent.
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Adding and subtracting fractions
Freddy’s Fraction Swap Meet
Name ______________________________________________ Date ___________________
Freddy is ready to make a swap. Are you? He begins by giving away a portion ofthe fractions he arrived with for another fraction. Continue trading fractions untilthe end of the swap meet.
Freddy arrived at the Saturday Swap Meet with his fraction 2 .
At the end of the swap meet, what fraction is Freddy left with? ___________
__38
__38
__38
__38
__14
__12
__25
__45
__25
__13
__14
__26
__43
He gives Leo in exchange for .
1. 2 – = ____
2. Your answer from above + = _____
He gives Lucy in exchange for .
3. _____ – _____ = _____
4. _____ + _____ = _____
He gives Ariel in exchange for .
5. _____ – _____ = _____
6. _____ + _____ = _____
He gives Mikey in exchange for .
7. _____ – _____ = _____
8. _____ + _____ = _____
He gives Diane in exchange for .
9. _____ – _____ = _____
1 0. _____ + _____= _____
__14
On this course, the whole is the goal! Each of our players is starting with the number7. As each competitor moves through the course, different fractions are subtractedfrom 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
Rapid Rosa
Which runner won? __________________Fun
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Adding and subtracting fractions
Name ______________________________________________ Date ___________________
Whole in One
5__16
1_8
11__163_
8
7__18
5_8
6__24
4_7
1_2
-
-
-
-
-
-
-
-
-
_______
_______ _______
_______
_______
_______
_______
_______
_______
3__8
3__36
7_12
1__4
10__40
3__11
1_4
1_4
-
-
-
-
-
-
-
-
_______
_______ _______
_______
_______
_______
_______
_______
_______
5__24-
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Averaging
And the Winner Is . . . Name ______________________________________________ Date ___________________
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 foreach skater. If necessary, round the score to the nearest hundredth. Then rank theskaters according to their score. The skater with the highest score wins. Write theanswers 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
Average: __________
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 Second Place Third Place Fourth Place
On your mark, get set . . . GO! Who’ll win our math marathon? To find out, use theclues given below to calculate how long it will take each of our runners to finish therace. A marathon is 26.2 miles long. Use the boxes to do your calculations. Betterget started!
1. Carrie runs the first mile in 6 minutes, the next 5 miles at a rate of6 minutes and 30 seconds per mile, and the rest of the race at arate 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 secondsper 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?__________________________
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Rate and time
Name ______________________________________________ Date ___________________
Marathon Math
Shopper Number 2:
Amount spent $________ Amount saved $________ Amount left $________
Shopper Number 1:
Amount spent $________ Amount saved $________ Amount left $________
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Adding and subtracting decimals
Attention All Shoppers!Name ______________________________________________ Date ___________________
There are different ways to do this activity. Which way did you do it? ______________________
____________________________________________________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
It’s coupon day and our shoppers are ready to rack up the savings! Both arrived atthe store with $50. How much money will each one have left? Add up item costs andsubtract coupon amounts for each shopper\. Then answer the question below.
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Multiplying decimals
Name ______________________________________________ Date ___________________
Thanksgiving Inf lationWant to re-create the first Thanksgiving? All you need are a hundred or so guestsand 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 bypounds per item and cost per pound.
What is the total cost of the meal? ____________________
Item Number of Pounds Price Total Items Needed Per Item Per Pound Price
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
Source: The New York Times
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Multiplying decimals
Decimals in Space!Name ______________________________________________ Date ___________________
How much do you weigh on Jupiter? Well, you don’thave to hop on the next rocket ship to find out. Allyou need is a little math and our “Cosmic ConversionChart.” Read each question below. Then use theconversion chart to find the answers. Write your
answers in the spaces provided.
Cosmic Conversion Chart
Planet, Sun, or Moon Multiply weight on Earth by…
Sun 27.90
Mercury .38
Venus .91
Earth 1.00
Moon .17
Mars .38
Jupiter 2.36
Saturn .92
Uranus .89
Neptune 1.12
Pluto .07
1. Astronaut Angela weighs 135 pounds onEarth. How much does she weigh on…
a. the Moon? __________
b. Uranus? ____________
c. Mars? ______________
2. A backpack full of school books weighs13.4 pounds on Earth. How much does itweigh on…
a. Jupiter? ____________
b. Mercury? __________
c. the Sun? ____________
3. The American flag and pole that wereplaced on the moon weighed 8.5 poundson Earth.
a. How much did they weigh on the Moon? ____________
b. How much would they weigh on Saturn? ____________
4. Say a dune buggy for planet driving weighs2,380 pounds on Earth. How much wouldit weigh on…
a. Pluto? ______________
b. Neptune?____________
c. Venus?______________
5. How much would you weigh on each ofthese different planets?
Mercury_______Venus_______ Mars_______
Jupiter_______ Saturn______ Uranus______
Neptune______ Pluto________
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Percents
Name ______________________________________________ Date ___________________
Per “Cents”!These cents make sense when it comes to working with percents! Remember: Thereare 100 cents in every dollar, so calculating percents with money is a snap! Read thequestions below and look at the group of coins listed, then calculate what percenteach group of coins is equal to.
1.
= _____ percent of $1?
2.
= _____ percent of $1?
3.
= _____ percent of $1?
4.
= _____ percent of $5?
5.
= _____ percent of $10?
6.
= _____ percent of $3?
7.
= _____ percent of $4?
8.
= _____ percent of $6?
9.
= _____ percent of $18?
10.
= _____ percent of $9?
Some people have some pretty smart—and pretty strange—uses for things aroundthe house. Here are just a few. Match each percent to its fraction equivalent andyou’ll find a wacky use for some common household items. When necessary,round up to the nearest percent.
1. vinegar 38% can be used to relieve a toothache
2. powdered milk 60% can help get gum out of your hair
3. petroleum jelly 52% can soothe a sunburn
4. cola 25% can dry up pimples
5. hot sauce 78% can relieve itching from chicken pox
6. salt 75% can eliminate kitchen odors
7. yogurt 33% can be used as house paint
8. oats 83% can be used to clean your toilet bowl
9. toothpaste 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. Fu
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Percents and fractions
Household Help From Decimals
Name ______________________________________________ Date ___________________
__34
__13
__35
__56
__38
__59
__1529
__79
__14
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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 hadto 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 ifno 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? _________________
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Converting fractions into decimals
Fraction MagicName ______________________________________________ Date ___________________
Can you perform some fraction magic! For your first trick, try changing thesefractions into decimals. If necessary, round each decimal to the hundredths place.Then, rank the decimals from smallest to largest by writing them from left toright in the blanks provided. And for your grand finale, use the key below tocomplete the riddle. You’re on!
Fraction Decimal
1. ______
2. ______
3. ______
4. ______
5. ______
6. ______
7. ______
8. ______
9. ______
10. ______
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 .67 .4 .53 .63 .89 .44 .58 .7 .85
__12
__23
__25
__58
__49
__710
__1113
__815
__89
__712
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Geometry: triangles
Name ______________________________________________ Date ___________________
The Case of the Missing Angle
75˚
60˚
90˚
70˚
20˚100˚
45˚92˚
79˚
37˚
58˚93˚
45˚
90˚
36˚
108˚ ?
?
?
?
?
?
?
?
29˚
45˚
30˚
35˚
64˚
60˚
43˚
36˚
The search is on. These triangles are all different, but they have one thing incommon—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 completethat triangle. Then, write the letter of the angle onthe line near the triangle it completes.
1. 5.
________ ________
2. 6.
________ ________
3. 7.
________ ________
4. 8.
________ ________
a. e.
b. f.
c. g.
d. h.
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Circle graphs
Sports Time! Name ______________________________________________ Date ___________________
How much time do you spend each week playing sports? One hour? Two? Maybeeven three? Before you answer that question, take a look at the results of onesurvey. 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. What percent of kids play sports 5 or more hours a week? ____________
6. What fraction of kids play sports 5 or more hours a week? ____________
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? ____________
0 to 2 hours26%
2 to 5 hours29%
5 to 8 hours21%
8 or morehours 24%
Amount of Time Kids SpendPlaying Sports Each Day
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Coordinate points
Name ______________________________________________ Date ___________________
Coordinate Scavenger Hunt
This coordinate grid map may not show you how to get to an airport, but it willshow 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.
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? ________________________________________________________
0
1
2
3
–3
–2
–1
2 4 60–2–4–6 –5 –3 –1 1 3 5
•
•
•
•
•
•
•
•
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Squaring
Squaring SquaresName ______________________________________________ Date ___________________
What do you do to the length of a side of a square to find its area? Square it, ofcourse! First, look at the length of the side for each square below. Then square thatnumber to find the area of the square. Write your answer inside each square. Thenuse your answers to solve the riddle below.
Q: What did one quadrilateral say to the other?
A: You’re ____ ____ “____ ____ ____ ____ ____ ____”!36 81 169 121 64 225 16 49
1.
2.
3.
4.
5.6.
7.
8.9.
10.
11. 12.
3 in.
(T) 4 in.
(R)
9 in.
(O)
5 in.
(I)
11 in.
(Q)
10 in.
(D)
6 in.
(S)
12 in.
(L)
13 in.
(S)
8 in.
(U)7 in.
(E)
15 in.
(A)
Mmmm. You finally found the perfect tortilla recipe for your party. But wait—thisrecipe 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 makeone batch of tortillas. Multiply the amount of each ingredient by the number ofbatches listed below to increase the recipe.
Ingredient Amount needed Amount needed Amount needed Amount needed for 1 batch for 3 batches for 5 batches for 6 batches(12 tortillas) (36 tortillas) (60 tortillas) (78 tortillas)
1. All-purpose 1 cups __________ __________ __________flour
2. Whole-wheat cup __________ __________ __________flour
3. Salt teaspoon __________ __________ __________
4. Baking powder teaspoon __________ __________ __________
5. Vegetable cup __________ __________ __________shortening
6. Hot water cup __________ __________ __________
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Multiplying fractions
Name ______________________________________________ Date ___________________
Recipe for Math Success
__13
__23
__34
__23
__14
__12
__12
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Multiplying fractions
Mixed Number Mix-UpName ______________________________________________ Date ___________________
These mixed numbers sure are mixed up! To straighten them out, first, rewrite eachmixed number correctly and in the lowest terms. Then multiply. Next, make sureyour answers are again written as mixed numbers and in the lowestterms. Finally, answer the questions at the bottom of the page.
Mixed-Up Mixed Rewrite AnswerNumbers Problem
1. 1 x 1 ____________________ _____________
2. 3 x 2 ____________________ _____________
3. 1 x 3 ____________________ _____________
4. 10 x 1 ____________________ _____________
5. 5 x 2 ____________________ _____________
6. 9 x 8 ____________________ _____________
7. 5 x 7 ____________________ _____________
8. 1 x 4 ____________________ _____________
9. Which one of these problems could represent the area of a rectangle with a length of 12 and a width of 2 ? ___________
10. Which one of these problems could represent the area of a square with a side length of 10 ? ___________
__74
__18
__176
__53
__19
__95
__73
__75
__318
__187
__65
__115
__209
__107
__198
__2011
__13
__25
__15
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Dividing fractions
Name ______________________________________________ Date ___________________
Flipping Fraction Flapjacks!
Reciprocals are easy when you have a cook to flip your fractionsfor you! Look at each division problem written on the pancakesbelow. In the second column, rewrite each problem. Be sure to flipthe second fraction each time. Then, write the answer on the lineprovided, and convert your answers to mixed numbers in lowestterms. We did the first one for you.
Problem Rewrite the Problem Answer
1. –: = x =
2. –: = x = ___________
3. –: = x = ___________
4 –: = x = ___________
5. –: = x = ___________
6. –: = x = ___________
7. –: = x = ___________
8. –: = x = ___________
__78
__14
__13
__15
__14
__18
__12
__23
__45
__17
__13
__23
__34
__12
__79
__16
3
25
36
__78
__41
__ 288
__12
= 3
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Dividing fractions
Pass the Fractions, Please!Name ______________________________________________ Date ___________________
Our cooks are ready to serve up some super chow, but they’re not quite sure howmany servings they have of each tasty treat. But they do know the amount of foodthey have and what each serving size should be. You can help them figure out therest by dividing fractions. For each food item listed below, divide the total amountof food by the serving size. Your answer will be the number of servings. Write it inthe space provided.
Total Amount Serving Size Number of Servings
1. 8 cups vegetable soup 1 cups _____________
2. 3 cups beef stew cup _____________
3. 3 cups peas cup ______________
4. 7 cups carrots cup _____________
5. 8 cups rice 1 cups _____________
6. 3 cups chocolate pudding cup _____________
If each guest gets at least one serving of everything, how many guests are there? _____________
__14
__34
__18
__1112
__38
__59
__13
__14
__13
__12
__34
__34
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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 keyto your shopping success and savings. For each item below, look at the price andthe discount. Then write the amount ofmoney 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 off ______________ ______________
2. Tennis shoes $38.00 43% off ______________ ______________
3. Sweaters $28.00 off ______________ ______________
4. Tank tops $12.00 15% off ______________ ______________
5. Shorts $18.00 off ______________ ______________
6. Skirts $29.00 22% off ______________ ______________
7. Dresses $34.00 off ______________ ______________
8. T-shirts $14.00 9% off ______________ ______________
9. Overalls $36.00 off ______________ ______________
10. Jackets $41.00 19% off ______________ ______________
11. Hats $12.00 20% off ______________ ______________
12. Gloves $16.00 8% off ______________ ______________
13. Dress shoes $49.00 off ______________ ______________
14. Vests $32.00 off ______________ ______________
15. Coats $85.00 30% off ______________ ______________
__23
__38
__14
__47
__311
__16__18
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Comparing fractions, decimals, and percents
Recycling PercentsName ______________________________________________ Date ___________________
We're not just talking trash . . . . These trash factswill amaze you. First solve the problem. Draw a linefrom each problem to its correct answer. Then writethe answer to the question in the blank provided.
12: 75,000
7: 250 million
442: about
9: 4 pounds
8: 8 million
165: 130 million tons
42: more than 100 years
128: 2.5 million
1. 15% of 80 = _____________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 Americanthrow 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 = _____________A Styrofoam package left on the side of the road would take how many years to decompose? _____________
5. 64% of 200 = _____________In just one hour, about how many million plastic soda bottlesare thrown away in the United States? _____________
6. 8% of 100 = ___________About how many million miles of aluminum foil is used in the United States each year? _____________
7. 85% of 520 = _____________What fraction of newspapers printed in America are recycled? _____________
8. 14% of 50 = _____________How many million tires do Americans throw away each year? _____________
__13
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Geometry: area and perimeter of rectangles and squares
Name ______________________________________________ Date ___________________
Math’s Got It CoveredBundle up! Our quilt of math has got you covered. How much area will it coverexactly? That’s for you to find out—using area and perimeter formulas. First, look atthe length and width of each patch. Then, find the area and the perimeter of eachsquare or rectangle. Finally, write your answers in the blanks within each patch.
What is the perimeter of the entire quilt? _______________________
What is the area of the entire quilt? _____________________________
5 in.
4 in.
6 in.
8 in.
7 in.
8 in.
2 in.
9 in.
4 in.
3 in.
2 in.
4 in.
7 in.
6 in.
3 in.3 in.
5 in.
3 in.
6 in.
3 in. 3 in. 3 in.3 in. 2 in.11 in.
5 in.
10 in.
2 in. 2 in.
3 in.
1
2 3 4
5
6
7
13
8 910
15
11
12 14
P = _____ A = _____
P = _____ A = _____ P = _____ A = _____P = _____ A = _____
P = _____ A = _____
P = _____ A = _____P = _____ A = _____
P = _____ A = _____
P = _____ A = _____
P =_____
A =_____
P =_____
A =_____
P = _____
A = _____
P = _____
A = _____
P = ___
A = ___
P = ___
A = ___
5. Area of triangle:
_____________
Area of pyramid:
_____________
6. Area of triangle:
_____________
Area of pyramid:
_____________
7. Area of triangle:
_____________
Area of pyramid:
_____________
8.
Area of triangle:
_____________
Area of pyramid:
_____________
1.Area of triangle:
_____________
Area of pyramid:
_____________
2.
Area of triangle:
_____________
Area of pyramid:
_____________
3.
Area of triangle:
_____________
Area of pyramid:
_____________
4. Area of triangle:
_____________
Area of pyramid:
_____________
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Geometry: area of triangles
Pyramid Paint Job!Name ______________________________________________ Date ___________________
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.
Area of a triangle = (bh)__12
B = 5 ft. H = 10 ft.
B = 8 ft. H = 12 ft.
B = 4 ft. H = 11 ft.
B = 14 ft. H = 6 ft.
B = 7 ft. H = 8 ft.
B = 4 ft. H = 7 ft.
B = 9 ft. H = 6 ft.
B = 12 ft. H = 13 ft.
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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 thatmeasurement to find the remaining information. Write your answers on the blanksprovided. Leave your answers in terms of pi.
1. Truck tire
d = 4 ft.
r = ________
c = ________
a = ________
2. Car tire
d = ________
r = 1.5 ft.
c = ________
a = ________
3. Bicycle
d = ________
r = 10 in.
c = ________
a = ________
5. Lollipop
d = 2 in.
r = ________
c = ________
a = ________
6. Buggy wheel
d = ________
r = 2.5 in.
c = ________
a = ________
7. Hula hoop
d = ________
r = 3 ft.
c = ________
a = ________
4. Tricycle wheel
d = 4 in.
r = ________
c = ________
a = ________
Circumference = pi(r+r)Area = pi(r2)
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Geometry: area of complex shapes
Name ______________________________________________ Date ___________________
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 totalarea of each dog’s pool. Write your answers in the space provided.
2.
What is the area of the rectangle? _______________
What is the area of the square? _______________
What is the area of the triangle? _______________
What is the total area? _______________
Pooch Pools
L = 8 ft. W = 4 ft.
W = 6 ft.
B = 6 ft. H = 8 ft.
B = 3 ft.H = 4 ft.
L = 3 ft. W = 7 ft.
W = 3 ft. 1.
What is the area of the rectangle? _______________
What is the area of the square? _______________
What is the area of the triangle? _______________
What is the total area? _______________
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Charts
Name ______________________________________________ Date ___________________
We have measurements for lots of different things. But haveyou ever wondered how to measure the strength of somethingas powerful as a tornado? Well, scientists use the Fujita scaleto do just that. The Fujita Scale is printed here. First readthrough it. Then, use the information to answer the questionsbelow. Write your answers in the blanks provided.
FUJITA SCALEFujita Scale Wind Speed Damage Level
Rating
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.
a. What is its fastest possible wind speed? ______________________
b. What is its slowest possible wind speed? ______________________
3. A tornado hits, and the damage is beingassessed. A lot of trash cans have beenblown around and a few houses have roof damage.
a. What would you estimate the rating ofthis tornado to be? _________________
b. What is its fastest 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? __________________
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 getto be rated an F–2? _________________
d. What is the most its wind speed canincrease to remain an F–2? __________
Tornado Time
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Algebra
Touchdown Math!Name ______________________________________________ Date ___________________
Let the games begin! Football games that is. Use the information in the box to figure out the winners in these games.
Game 1
Knights 1T + 2F = ________
Rockets 1T + 3S + 1C = ________
Winners: _________________
Game 2
Eagles 2T + 1C + X = ________
Stars 3T + 3X = ________
Winners: _________________
Game 3
Sharks 2T + 3F + 2X = ________
Tanks 1T + 4F + 1C + 2S = ________
Winners: _________________
T = touchdown = 6 pointsF = field goal = 3 pointsX = extra point = 1 pointC = two-point conversion = 2 pointsS = safety = 2 points
Game 4
Bears 4T + 3X + 1C = ________
Kings 5T + 2X + 3C = ________
Winners: _________________
Game 5
Mustangs 3T + 2X + 1C + 2F = ________
Lions 2T + 2X + 3F + 2S= ________
Winners: _________________
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Rate
Name ______________________________________________ Date ___________________
First-Rate MathThe race is over! But we’re not going to tell you who won. We’ll tell you how farthey 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 tofinish. Then, divide the distance by the time to get the rate. Round your answersto the nearest thousandth. Finally, rank the drivers from fastest to slowest.
Rate = Distance � Time
Luis the Lapper
Distance = .25 miles
Time = 6 seconds
Rate = ___________
Speedy Sam
Distance = .75 miles
Time = 8 seconds
Rate = ___________
Cruisin’ Carol
Distance = .8 miles
Time = 10 seconds
Rate = ___________
Debbie Dragster
Distance = .55 miles
Time = 11 seconds
Rate = ___________
__________ __________ __________ __________
First Place Second Place Third Place Fourth Place
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Scale
Bugging Out With ScaleName ______________________________________________ Date ___________________
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 ofthe 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.
How long is the locust model? _______________
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? _______________
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Proportions
Name ______________________________________________ Date ___________________
Soda Pop ProportionsYou’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 ingredientyou 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 Number of Amount NeededIngredient Per Bottle Bottles 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 __________________
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Measurement: metric conversion
Metric MadnessName ______________________________________________ Date ___________________
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?
____________________________________
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 yougoing in miles per hour? ______________
c. How much faster or slower are yougoing in kilometers per hour?
__________________________________
3. George is 6'5" tall. Drake is 2.1 meters tall.
a. Who is taller, George or Drake?
__________________________________
b. What is their height difference in inches? ____________________________
c. What is their height difference in centimeters? ________________________
4. Roger used to weigh120 pounds. Now heweighs 59 kilograms.
a. Did he lose or gain weight?
__________________________
b. How many pounds, moreor 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? ______________
Some Metric Conversions(Multiply to convert)
1 inch = 2.54 centimeters1 centimeter = .39 inch1 kilogram = 2.2 pounds
1 pound = .45 kilogram1 meter = 3.28 feet
1 foot = .3 meter1 kilometer = .62 mile
1 mile = 1.6 kilometers1 yard = .9 meter
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Word problems
Name ______________________________________________ Date ___________________
Putting It All TogetherUse 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. You need 1 cups of sugar for 1 batch of cookies.
a. How much do you need for 5 batches? ________________________________________
b. 6 batches? ______________________________________________________________
c. 7 batches? ______________________________________________________________
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.
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,
this amount by selling raffle tickets, and from their bake sale. They raised the rest
of the money by holding a car wash.
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? ________________________________
__38
__12__34
__12
__18
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Word problems
The Last Word Name ______________________________________________ Date ___________________
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 elephants at the zoo increases by .
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, he drives 29 miles.
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?____________________________________
__16
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Page 5 • Mountains of Math 1. climber number 17: 51; 408;
2,448; 29,376; 264,384
2. climber number 14: 98; 196; 980; 10,780; 43,120
3. climber number 21: 63; 819; 4,095; 12,285; 110,565
4. climber number 18: 72; 144; 720; 10,080; 30,240
Page 6 • Fishing forRemainders Waterville High Guppies: number ofteams: 144 remainder: 2
Bay Area Starfish: number of teams:211 remainder: 1
Pacific High Sharks: number ofteams: 69 remainder: 2
-Reef Central Sea Horses: number ofteams: 170 remainder: 12
Midatlantic Swordfish: number ofteams: 150 remainder: 10
27 fish are on the bench.
Page 7 • SavingsMultiplication(answers in pennies)
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 • If the Shoe Fits... Correct matches are: 3, 4 12 15, 10 30 8, 10 40 9, 4 36 8, 6 24 5, 10 10 7, 5 35 6, 9 18 24, 16 48 4, 10 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.
Turbo Track Shoe Sellers, Inc. is cheapest.
Page 11 • Some Fractions Are Created Equal Equivalent fractions are:
Page 12 • Freddy's Fraction Swap Meet
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
At the end of the swap meet, Freddy has 2 .
Answer Key
Answer Key
Day Amount Saved That Day
Total Amount Saved
1
2
3
4
5
6
7
8
9
10
11
12
13
1
2
4
8
16
32
64
128
256
512
1,024
2,048
4,096
1
3
7
15
31
63
127
255
511
1,023
2,047
4,095
8,191
2 – = 2 5__8
1__4
1__8
2 + = 2 1__8
3__8
1__2
2 – = 2 1__2
1__2
2 + = 2 2__5
2__5
2 – = 1 2__5
4__5
3__5
1 + = 2 3__5
2__5
2 – = 1 1__3
2__3
1 + = 1 2__3
1__4
11__12
1 – = 1 11__12
2__6
7__12
1 + = 1 = 2 7__12
16__12
23__12
11__12
14
15
16
17
18
19
20
8,192
16,384
32,768
65,536
131,072
262,144
524,288
16,383
32,767
65,535
131,071
262,143
524,287
1,048,575
,5__8
15__24
,3__16
6__32
,1__3
7__21
,7__13
21__39
,4__5
16__20
,4__11
20__55
,2__7
8__28
,4__9
20__45
11__12
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Page 13 • Whole in One Fearless Felix
It took Felix 5 obstacles.
Rapid Rosa
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
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 AllShopper 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 thisactivity will vary, but students shouldexplain their method clearly.
Page 17 • ThanksgivingInflation
Turkey $1,008.00 Lobster $1,398.25 Goose $933.60 Rabbit $450.26 Venison (deer) $6,495.00 Cornmeal $2,562.00 Pumpkin $152.60 The total cost of the meal is$12,999.71
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 HelpFrom 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 tolargest: .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 theMissing Angle 1. h 5. a2. g 6. e3. c 7. f4. b 8. d
Answer Key
– =1__4
27__4
– =3__8
51__8
– =3__36
151___24
– =5__24
73__12
– = 7__12
11__2
– = 1__4
21__4
– = 5 1__4
– =1__2
13__2
– =5__16
99__16
– =1__8
97__16
– =11__16
43__8
– = = 53__8
40__8
Page 24 • Sports Time!
1. 5. 45%
2. 6.
3. 55% 7. 76%
4. 8.
Page 25 • CoordinateScavenger Hunt 1. laptop computer 2. (5,1) 3. (3,0) 4. car5. roller blades 6. (0,-3) 7. soccer ball8. (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. 225Q: What did one quadrilateral sayto the other? A: You’re so “square”!
Page 27 • Recipe for MathSuccess
1. 4 cups; 6 cups; 8 cups
2. 2 cups; 3 cups; 4 cups
3. 2 teaspoons; 3
teaspoons; 4 teaspoons
4. 1 teaspoons; 2
teaspoons; 3 teaspoons
5. cup; 1 cups; 1 cups
6. 2 cups; 3 cups; 4 cups
Page 28 • Mixed NumberMix-Up
1.
2.
3.
4.
5.
6.
7.
8.
9. Number 4 10. Number 6
Page 29 • Flipping FractionFlapjacks!
1.
2.
3.
4.
5.
6.
7.
8.
Page 30 • Pass the Fractions,Please! 1. 7 2. 5 3. 28 4. 8 5. 6 6. 6 There are 5 guests.
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
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 7. 442: about 8. 7: 250 million
Page 33 • Math’s Got ItCovered 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
29___100
9__20
6__25
11__20
19__25
2 x 1 3 3__4
1__8
3__32
5 x 3 21 5__6
2__3
7__18
1 x 4 5 1__9
4__5
1__3
12 x 2 29 1__3
2__5
3__5
8 x 4 40 7__8
4__7
4__7
10 x 10 104 1__5
1__5
1__25
7 x 8 60 2__9
3__7
55__63
3 x 5 19 3__8
9__11
55__63
x = = 37__8
4__1
28__8
1__2
x = = 11__3
5__1
5__3
2__3
x = = 21__4
8__1
8__4
x = = 57__2
3__2
21__4
1__4
x = = 54__5
7__1
28__5
3__5
x = = 216__3
3__8
48__24
x = = 127__4
2__7
54__28
13__14
x = = 47__9
6__1
42__9
2__3
1__3
1__3
2__3
1__3
1__3
1__4
1__4
1__4
3__4
3__4
1__3
1__3
5__8
7__8
1__2
1__2
Fun,
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Page 34 • Pyramid PaintJob! 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.
Page 35 • Math Goes Roundand 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. ftArea 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
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 persecond Speedy Sam = .094 miles per second Cruisin' Carol = .08 miles per second Debbie Dragster = .05 miles persecond
First Place: Luis Second Place: Debbie Third Place: Carol Fourth Place: Sam
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 PopProportions 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 42 • Metric Madness 1. 90 meters2. 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 mayvary slightly due to rounding.)
Page 43 • Putting it AllTogether: Word Problems
1. a. b. 86%
2. 25%
3. a. 6 cups; b. 8
cups; c. 10 cups
4. a. 35 cents a can; b. 5 cents
per can
5. a. 750 square feet;
b. 50 gallons
6. a. ; b. 37.5%; c. 12.5%;
d. $306.25
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
Answer Key
1__7
7__8
15__16
21__32
3__8
