Show your work. Explain with pictures, $1.59 each, how ... · Show your work. Explain with pictures, words, or numbers. 25 For breakfast in the morning, you may choose among three

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Show your work. Explain with pictures,words, or numbers.

1

If McDonald’s sells Big Macs for$1.59 each, how many could youbuy with a $10.00 bill? Write aletter to a friend to tell how youfigured this out.

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2

A school cafeteria sells popsiclesfor 25¢, nutty buddies for 40¢, andice cream sandwiches for 30¢. Ifa student spent $6.00 in the monthof October for ice cream, whatcould the student have bought?List as many combinations as youcan find.

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3

Sarah owes a friend $2.38. Shehas $5.25. Will she have enoughmoney for a $2.25 movie aftershe pays her friend? Exactlyhow much money does she haveleft?

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Show your work. Explain with pictures,words, or numbers.How can you make each stack

have the same number of penniesand use all the pennies?

Explain how you figured this out.

25¢ 20¢ 3

4

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5

Every bike slot in a bicycle rackwas filled. Donna’s bike was inthe middle. There were six bikesto the right of Donna’s. Howmany bicycles were in the bicyclerack?

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6

If you must use 15 or fewercoins, how many differentcombinations of coins can beused to make $1.00?

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7

At a school store the followingitems are for sale:

Erasers 5¢Pencils 10¢Paper 15¢Markers 20¢

Ronald has 50¢. Whatcombination of supplies can hebuy?

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8

What different single digits can youput in the circles so that the sum of 3numbers in a line will equal 17?

Extension: How many differentcombinations could you have?

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Write the last 4 digits of atelephone number. List all the4-digit numbers you can makeusing those four numbers.

• What is the highest number youcan make?• What is the lowest number youcan make?• Find the difference in the highestand lowest number.

9

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10

Joey got a new puppy. The puppyweighed four pounds. This washalf the weight of his bowlingball. How much does his bowlingball weigh?

What would five puppies of thesame size weigh?

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11

If John usually walks four milesper hour, about how long wouldit take him to walk two miles?Explain how you got youranswer.

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12

How many different ways canAlex make change for a 50¢ piecewithout using pennies?

Make a chart to show all of thepossible ways.

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13

In Friday night's football game,North High School lost to SouthHigh School 20-12. What are thedifferent ways North High couldhave scored 12 points?

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14

Your calculator is showing ananswer of 242. What problemscould have been put into thecalculator to get this answer?

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15

David was playing darts andscored exactly 21 with 3 darts.Show where his darts might havelanded.

If he got all three darts on theboard, what other scores could hehave made?

11112222

9999

6666

3333

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16

Daniel has a bad cold and has totake 1 teaspoon of cough syrupevery 45 minutes. He took his firstdose at 2:20 p.m. He is supposedto take 6 doses before he goes tobed at 8:00. Can he do this?Explain.

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17

You have $2.00 with which tobuy marbles. Aggies cost 14¢each and migs cost 18¢ each.How many of each kind ofmarbles can you buy for $2.00?

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The key for number 5 does notwork on Hector’s calculator.

How can he use his brokencalculator to figure out 235 - 198?

Explain what Hector will push onhis calculator.

18

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19

Using digits 1 to 9, arrange thenumbers in three groups so thatthe sum is the same in each group.Is there more than one way to dothis? Explain.

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20

Write math problems that thischart would help you to solve:

MENU

Turkey sandwich $ 0 .75Ham and cheese sandwich $1.60Potato salad $0.80Lemonade $ 0 .90Milk $ 0.85

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21

In Booth’s Bicycle Shop, Henrycounted some bicycles andtricycles. He counted 19. Whenhe counted the wheels, he got atotal of 45. How many bicyclesand tricycles were there?

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22

Eugene had 33¢ in his pocket.He had 9 coins. He did not havea quarter. What were the coinshe had in his pocket?

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23

Arlene wants to participate in tworunning events in the track meet.She can select from the 50 mdash, the 75 m dash, 100 m dash,and the 400 m relay. How manydifferent choices does Arlenehave?

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A basketball player can score3-point baskets and 2-pointbaskets. If the player scored 37points, what combinations ofbaskets could he have made?

24

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25

For breakfast in the morning,you may choose among threedifferent cereals; corn flakes,oatmeal, or wheat chunks. Youmight also choose a juice, eitherapple juice or orange juice. Whatare all the different breakfastcombinations that you couldhave if you have one cereal andone juice?

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26

A Nintendo game costs $53.25,including tax. John got $10.00for his birthday and he can save$4.00 each week to go towardsthe game. How many weeksuntil John can afford the game?Explain how you know.

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Show your work. Explain with pictures,words, or numbers.A group of students is sitting in a

circle. Every student facessomeone across the circle. Thestudents count off in order,starting with number one. Studenttwo sits directly across fromstudent seven. How manystudents are in the circle?Explain.

27

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At the Burnsville School library,34 students can sit at seven tables with noempty seats. There are small tables forfour students and large tables for sixstudents. How many small tables are inthe library? How many large tables are inthe library? Explain how you found youranswer.

If all of the tables were small, how manystudents could sit in the library?

If all of the tables were large, how manystudents could sit in the library?

28

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Write a number in each emptyshape to complete the chain.

Start

-7 +8

-9

-417

End

+3 18

29

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Jo gave a number problem toNelda. She told her to pick anumber, add 10 to it, double thatsum, and then subtract 5. Nelda’sanswer was 39. What numberdid Jo pick?

30

?

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31

I am a 2-digit number over 50.When you put me in groups of 7,two are left over. The sum of mydigits is 11. What number am I?

Write another number puzzle fora friend to solve. Make yourpuzzle have three or four clues.

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32

Complete the pattern, then write asentence that tells how to writemore numbers in the pattern:

50, 44, 38, 32, ___, ___, ___.

What comes next in this pattern?

1, 4, 2, 5, 3, 6, 4, ___, ___.

Explain how you know.

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33

What seven coins together areworth 50¢?

If you have seven coins, but nopennies or fifty-cent pieces,what is the most money youcould have?

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34

Sandra is more than 20 years oldand less than 60 years old. Youcan count by 7’s to reachSandra’s age. Next year you willbe able to count by 5’s to reachSandra’s age. How old isSandra? Explain how youfigured this out.

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35

Using a total of 15 straws of twodifferent lengths and clay or pipecleaners as connectors, make astructure which illustrates asmany different geometricvocabulary words as possible.

Note: If you have tinker toys,use 15 rods and no more than 8wheels.

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36

In the product: 1 x 2 x 3 x 4 x 5 x 6,which one of the six numbersshould be increased by 1 tocause the greatest increase inthe product? Predict and thencheck your prediction on acalculator. Check otherpossibilities until you are certainyou know the correct answer.

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37

Given this table, what comesnext in the pattern?

BAGS CANDIES

2 48 3 72 4 __ 5 __ 6 __ 7 __

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38

A cook is making a cakerequiring four cups of flour.She only has two measures,which hold 7 cups and 10 cups.How can she use her measuresto measure exactly 4 cups?

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39

How many triangles are here?

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40

The answer is 8. What could thequestion be? Write three differentpossible questions. Try to makethe questions very different fromeach other.

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41

How many different ways canyou show one-half on ageoboard?

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42

Using digits 0 - 9, only onceeach, choose three digits to makean addend and three other digitsto make a second addend. Usingthe two addends, make thelargest possible sum.

Using digits 0 - 9, one timeeach, find the smallest possiblesum when you add three 2-digitnumbers.

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43

Amy painted three pictures inart class. She wants to hangthem in a triangle-shapedarrangement, like the oneshown. How many differentways can Amy hang her threepictures in this triangle-shapedarrangement?

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44

The Nine-Patch Quilt Laura is making a nine-patchquilt for her doll. She is using redand blue patches. How manysymmetrical designs can shecreate with the two colors ofpatches? What could she makewith three colors of patches?Show the possibilities and drawthe line or lines of symmetry oneach.

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45

The people of Domino City usedominoes to show their housenumbers. Each domino has twosets of dots on it. Different sets ofdots are used on each street. Thepeople who live on Peach Streetuse just these sets to make theirhouse numbers. What are all thedifferent house numbers thatpeople on Peach Street can make?

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46

January 1 is on a Tuesday.Su-Lin’s birthday is in January.

1. It is not on a weekend.2. The date has two digits.3. You say the date when

you count by twos.4. The sum of the two digits

is 7.

What is the date of herbirthday?

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47

If a person starts with 9 andrepeatedly adds 4 on acalculator, what would thenumber showing in the displaybe after six additions?

To get the greatest product,where should a student placethe numbers 2, 3, 4, 5, and 6 inthese boxes?

X

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Show your work. Explain with pictures,words, or numbers.One of the letters in the box

does not belong.

Which letter does not belong?Explain why.

Can you classify these letters inanother way so that one letterdoes not belong?

S C D U O

48

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Show your work. Explain with pictures,words, or numbers.The answer is 3. Write three

different math questions.

How many triangles and howmany rectangles are in thisfigure?

49

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50

Cindy rides her bike to hergrandmother’s house on Saturdays.Her grandmother lives 12 blocksaway.

Last Saturday, Cindy rode 6 blocks,then realized that a book had fallenout of her basket. She rode backand found her book. Then she rode8 blocks and arrived at hergrandmother’s house. At whichblock did she drop her book? Howdo you know?

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Show your work. Explain with pictures,words, or numbers.If each car will hold one driver

and five students, how many carswill be needed to take Mrs.Wilson’s 28 students on their fieldtrip?

How many total people (studentsand drivers) will there be?

If there were three students absent,how would the answers to thesequestions change?

51

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Show your work. Explain with pictures,words, or numbers.Trace these figures and cut along

the dotted lines. How manydifferent polygons can you createusing 2, 3, or 4 pieces?

52

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53

Holly checked a book out of thelibrary and read this notice aboutfines:

If Holly’s book is 7 days overdue,what is the fine? Make a table toshow how much the fine will be.

If a book is:Days Amount of

Overdue Fine 1 1¢ 2 2¢ 3 4¢ 4 8¢

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54

Tilly gets 40¢ for an allowanceevery week. Her mother likes togive her different coins eachweek, but she never uses pennies.

What are the ways Tilly couldhave gotten her allowance duringthe last four weeks?

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55

Kim has three coins worth atotal of less than a dollar. If shewere to lose one of her coins,she would have exactly half asmuch money as she has now.What coins does Kim have?Explain.

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56

How many pennies laid in arow would there be in a mile?

What do you have to know tofigure out this problem? Writethe steps in a plan to figure thisout.

How many pennies would ittake?

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57

At the grocery store, eggs cost49¢ for a half-dozen. A dozeneggs cost 91¢. Which is a betterbuy? Explain your answer.

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58

Toni has a piggy bank filled withnickels, dimes and quarters. Shehas a total of $3.00. If she hasfewer than 12 coins, Whatcombination of coins could shehave in her bank? How manypossibilities can you discover?

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59

How Many Tiles Do I Have?Clues: A. If I have this many squaretiles, I can arrange them into asquare and have three left over. B.With these tiles, I can form arectangle whose one side is 10more than the other side. C. I have less than 60.

How many tiles do I have?

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60

There are 10 pages in Anthony’sbaseball card album. Each side ofthe page has 12 pockets for cards.When his book is half full, howmany cards will Anthony havecollected?

Write a letter to your friend tellinghow you figured this out.

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61

Suppose that red counters cost18¢ and yellow counters cost14¢. You bought 12 countersand paid exactly $2.00. Howmany of each color did youbuy?

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62

Which is worth more: 30 cmof quarters placed side by sideor 60 cm of dimes placed sideby side?

Write the steps you use insolving this problem.

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63

There are four boys in theGrant family. Alex is olderthan Jerry and younger thanStuart. Ross is not the oldestor the youngest. Alex does nothave two older brothers. Writethe names of the boys fromoldest to youngest.

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64

Pizzas come two ways at thePizza Delite. You can buy awhole pizza cut into six slices ora half pizza cut into three slices.How many pizzas should be or-dered for this table if the stu-dents want this many slices?

Timeka 4Jose' 5Benny 3Laura 2Alba 6

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Show your work. Explain with pictures, $1.59 each, how ... · Show your work. Explain with pictures, words, or numbers. 25 For breakfast in the morning, you may choose among three