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Numbers and OperationsName _________________Date __________________

Marty’s Activities

Marty did 2 of these activities. He paid for them with a $10 bill. His change was $3. What 2 activities did Marty do? Explain your thinking.

Activity CostMovie $4.50

Putt Putt Golf $3.00Skating $2.50

Go-Kart Rides $4.00Sack Slide $1.50

Number and OperationsName _______________Date ________________

Zoo Dilemma

Todd and Kay read in a newspaper that the zoo was going to have a special admission rate of two for $5.00 to celebrate the birth of a new baby gorilla. They didn’t have the money, so they decided to wash windows to earn money for their tickets. Kay washed two windows, each of which had a dozen windowpanes. Todd washed three windows, each of which had eight windowpanes. If they charged 10 cents for each windowpane they washed, and combined their money, will they have enough to go to the zoo? Explain your answer(s) and your thinking.


Sharron and Dale read in a newspaper that the zoo was going to have a special admission rate to celebrate the birth of a new baby gorilla. The admission was two for $5.00. Sharron and Dale didn’t have any money, so they decided to wash windows to earn money for their tickets to see the baby gorilla. Sharron washed two windows, each of which had a dozen windowpanes. Dale washed three windows, each of which had eight windowpanes. If they charged 10 cents for each windowpane they washed, who made more money? Did they have enough money to go to the zoo? Explain your thinking with diagrams, words and numbers.


Margo and Jerry wanted to make some money repairing bicycle tires. They advertised that they would check and repair bicycle tires at the rate of 2 tires for 75 cents. At the end of the first week, they had earned $30.00! How many bikes did they service? Explain your thinking with pictures, numbers and words.

Numbers and Operations

Name _________________Date __________________

Needing some ChangeAnnie went to the store and saw a vending machine that gives chances to win a stuffed animal. It costs 30 cents to play. The machine takes correct change only using quarter, dimes, and nickels. How many different combinations of coins could Annie use in order to try to get a stuffed animal?

Operations and Algebraic ThinkingName _______________________Date ________________________

Samantha’s Eggs

Samantha went to the store to buy eggs. She thought, “I need enough eggs to last a week. I eat two eggs for breakfast each day and I need to give 6 eggs back to my neighbor because I borrowed some.” When Samantha asked the store clerk for eggs, she was told that eggs are only sold by the dozen. How many dozen will Samantha have to buy?


Clement’s Farm

The Clement’s Farm has parakeets and elephants. One member of the family looked over the fence and announced, “There are 20 heads.” Another member of the family looked under the fence and said, “There are 64 legs.” How many parakeets and how many elephants are on the Clement’s farm? Explain your answer and your thinking.


Amazing Arrays

Draw as many different rectangular arrays as you can make using 12 tiles. Can you draw the same number of arrays with 13 tiles? Why or why not? Explain your thinking.


Paper Route

Julie delivers 10 newspapers each day on Monday through Saturday. She delivers 18 papers on Sunday. If December starts on a Friday and has 31 days, how many papers will she deliver in the month?


When Elaine was 7 years old, her mother was 39 years old. How old will Elaine be when her mother is 3 times her age?


I counted 7 cycle riders and 19 cycle wheels go past my house Saturday morning. How many bicycles and how many tricycles passed my house?


Pauline is reading a book with 143 pages in it. The book is due back in the library in 10 days. If Pauline is on page 53, and if she reads 10 pages a night, will she be able to finish the book before she has to return it to the library?


Compost, Anyone?Katie’s mom offered to pay her to carry 7 bags of leaves to the compost pile. Katie said she would do it if her mom would pay her 5 cents for the first bag, 10 cents for the second, 20 cents for the third, and so on. How much will Katie make for carrying all 7 bags?


Men from Outer SpaceCoastline, Oregon was invaded by space creatures: The Fritzles, with four feet, and the Frops with three feet. Jill was hidden from them, but counted thirty-one of the creatures’ feet as they marched by. How many Frops and How many Fritzles were marching by Jill?


A boy is twice as old as his dog. In five years the boy will be 15 years old. How old is the dog now?


Look at the picture of the triangular numbers. How many dots will be in the 10th picture?


Lulu decided to learn how to make Spanish lace. For one pattern, she tatted 3 stiches, then 6 stiches, then 5 stiches, then 8 stiches, then 7 stiches, and so on. What are the next 5 numbers in this pattern? What is the pattern?


The Newsy Comic Book Company published a new comic book. They sold 200 copies of the book in the first week after it was published. They sold 700 copies in the second week, 1,700 copies in the third week and 3,200 copies in the fourth week. At this rate, how many copies will they sell in the eighth week?


On a recent car ride, Lorenzo counted all the stop signs, yield signs and speed limit signs that he saw. He saw at least one of each sign. Altogether, he saw a total of 42 sides. How man of each kind of sign might he have seen? Explain your thinking.

STOP Yield SPEED LIMIT 35

Measurement and DataName ______________Date _______________

Walking Dog

A dog walks 32 meters completely around the perimeter of his yard. What are the possible dimensions of his rectangular yard?


Ribbon Reality

How much ribbon will you need to wrap this package if you use two strips of ribbon?


Kyle’s Corral Caper

Kyle works at Greenhorn Ranch every summer. He is building a rectangular corral using 64 feet of fencing. How wide and how long should he make the corral to get the largest possible area? Explain your thinking and your answer(s).


Area: 16 Square Centimeters

What are the possible dimensions (length and width) of a rectangle that has an area of 16 square centimeters?


Aura’s Backyard

Aura’s backyard is a small rectangle. Aunt Paola’s garden is a square. Aura thinks it will take more fencing to go all the way around her backyard than it will take to go all the way around Aunt Paola’s garden. How much fencing will each shape require? Which shape will need the most fencing? How do you know?


Rectangle Dimensions

What are the possible dimensions (length and width) of a rectangle that has an area of16 square centimeters?


Marla’s Rectangle Dimensions

Marla’s teacher asked her students to find the length and width of all the rectangles with an area of 20 square feet. Show the dimensions (length and width) of all the possible rectangles.


Cooper’s Dog Pen

Mrs. Callahan is building a new dog pen for her dog, Cooper. She has 24 feet of fencing to build the dog pen. The pen needs to be a rectangle. What are the lengths and widths of the different sizes of pens that she can make with that amount of fencing? Which pen will give Cooper the largest area to run around in?


Shaded Region

What is the area of this shaded region?


Rectangles in a Square

A square is divided into four rectangles. Each of the four rectangles has a perimeter of twenty units. What is the perimeter and area of the square?


The distance around the rectangle is 38 centimeters. The length of the rectangle is 3 centimeters greater than the width. What is the length and width of the rectangle?


Sammy the Slug, competing in the annual three-hour “Slime for Your Life” race, leaves the starting line heading east. He travels 4 yards, 2 feet, and 3 inches the first hour. The second hour finds him continuing east another 6 yards, 1 foot, and 7 inches. During the last hour, Sammy gets confused, turns around, and moves west for 5 yards, 2 feet, and 11 inches. By the end, how far is Sammy from the starting line?


Scott has 24 meters of fence and wants to make the biggest rectangular area possible for his dog to play in. What length should he make each side of the dog yard?


Juan wants to paint two walls in his family room with yellow paint. Each can will cover 750 square feet. How many cans of paint will she need to paint the walls?

25ft yellow wallpaper yellow paint paint

15ft 25ft 28ft


Jordan needs to plant grass seed in her yard. How many bags of grass seed will she need to buy enough to plant her front and back yard? One bag will seed 750 square feet of ground to make a luscious lawn!

50ft Front House Back Yard Yard

15ft 32ft 28ft


Determine the area of the shaded region. 8

3 8 6

4 10

12

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