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numeration
counting
ordering and comparing
writing numbers
place value
ordinal numbers
fractions
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numeration
operations with numbers
number theory
algebraic thinking
geometry
measurement
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Numeration

These problems deal with children's developing concepts of number and their understanding of our base10 number system.
Some of them address these specific subtopics:
 Related Resources

Interactive resources from our Math Tools project:
Math 1: Number Sense
NCTM Standards:
Number and Operations Standard for Grades PreK2
Access to these problems requires a Membership.

A Game of Dice


Grade K. Find out who rolled a higher number in a dice game.
... more>>

Ants on a Bun


Grade K. Find out how many ants were at a picnic.
... more>>

Apple Celebration


Grade 1. Figure out the growth pattern of a tree to predict its future height.
... more>>

At the Bake Sale


Grade 1. What can you can buy at the bake sale with the money you have?
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At the Grocery Store


Grade 1. Find combinations of fruit Katie could buy so that she has the same
amount of fruit as Jackson.
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A Walk to the Park


Grade K. Find the total number of blocks Tom walked.
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Baby Birds


Grade K. Find out how many baby birds are left in the nest.
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Balloon Fun


Grade K. Find out the number of balloons two friends have in all.
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Battastic!


Grade 1. Figure out the combined wingspans of some friends in bat costumes.
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Ben's Ice Cream Cone


Grade 1. Find the different types of ice cream treats Ben can get.
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Birthday Cake


Grade K. Draw a picture of a cake and divide it into equal slices.
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Book Club


Grade K. Figure out how many more books Ben has to read.
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Building a Tower

Grade K. How many blocks has Ming put on Ali's tower?
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Bus Stop


Grade K. Figure out what time Sally leaves for the bus.
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Charlie's Gumballs


Grade 2. How many gumballs does Charlie have left after sharing them with his
friends?
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Cleanup Time


Grade 1. Figure out how many pencils are left on the floor after some have
been picked up.
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Clowning Around


Grade 1. Use repeated addition to find out how many balls the clowns are
juggling.
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Color Competition


Grade K. Use a chart to determine the results of a color popularity contest.
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Colorful Candies


Grade K. Find out how many blue candies Sam has.
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Counting Cars


Grade K. Show how Maya can use tallies to count the number of cars that drove
down her street.
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Counting Comics


Grade 1. How many comic books does Sondra have?
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Counting Gumballs


Grade K. Figure out how many extra gumballs Steve has.
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Count Them Up


Grade 1. Write a number sentence to explain how many pennies Darryl has.
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Decorating Cookies


Grade 1. Find out what type of sprinkles Roger will put on the cookies he is
baking.
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Donut Sale


Grade 1. Figure out how much Geneva has to spend for 8 donuts.
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Drumsticks


Grade 1. Figure out how many drumsticks the band needs.
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Earning Money


Grade 1. Answer questions about doing chores to earn allowance.
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Field Day


Grade 1. Use addition to find out how much time Sofia spent running races.
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Flower Fun


Grade 1. Figure out how many pink tulips Michelle will give to her
grandmother.
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Getting Allowance


Grade 1. Find ways to make 50 cents using different coins.
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Going Shopping


Grade K. Which coins should you use to buy a pencil?
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Goldfish Galore


Grade 1. Divide 20 goldfish evenly between two friends.
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Growing Up


Grade K. Figure out how much more I have to grow to be as tall as my dad.
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Gum for Everyone!


Grade 1. Can 10 (and then 11) pieces of gum be shared equally among three
people?
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Gym Line

Grade K. Identify a pattern and use it to figure out who's next in line.
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Hannah's Cookies


Grade K. Determine how many cookies Jacob has, based on the number of cookies
Hannah has.
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Happy Birthday!


Grade 1. Use clues to figure out Aaliya's birth date.
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Helping Hands


Grade 1. Use fractions to divide some brownies between three classmates.
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How Big is 100 Pennies?


Grade K. Estimate whether 100 pennies can fit on a piece of paper.
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How Big Is Your Foot?


Grade K. Figure out how long your foot is and how long "twice as long" would
be.
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How Many Berries Did I Eat?


Grade 1. Reason about whether I ate more blueberries or raspberries.
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How Many Pinecones?


Grade K. Use the information given to figure out how many pinecones Midori
has.
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How Tall Is Your Tower?


Grade 1. Identify the pattern and use it to answer some questions about a row
of block towers.
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I Can Skip Count


Grade 1. Find the next numbers in the pattern.
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Ice Cream Party


Grade K. Figure out the number friends that cannot come to a birthday party.
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Ice Cream Sandwiches


Grade K. Find out how many cookies Ariana needs to make enough treats for
her friends.
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I See a Pattern


Grade K. What is the next number in the sequence?
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It's Cold Outside


Grade K. Figure out what the temperature is outside on a winter day.
... more>>

Jordan's Jobs


Grade 1. Figure out if Jordan has enough money to buy a scooter.
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Letter to Grandma


Grade 1. Use fractions to figure out the number of folds in a piece of paper.
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Lunch Line


Grade K. Follow a basic alternating pattern to find a given student in line.
... more>>

Magic More Machine


Grade K. Figure out what the Magic More Machine does when you put fruits and
veggies into it.
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Magic Rabbits


Grade K. Figure out how many rabbits will appear from the magician's hat.
... more>>

Making Cookies


Grade K. Help the baker count how many cookies broke in half.
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Making Sandwiches


Grade 1. Help Ricardo and Gloria divide their task as fairly as possible.
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Model Car Collection


Grade 1. Help Jackson to arrange his model cars on a shelf.
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Money Matters


Grade K. Figure out which items you can buy with 11 cents.
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New Pencils


Grade K. Figure out how many pencils Paul had before he bought new ones.
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Number Fun


Grade 1. Use clues to help Dominic solve a number riddle.
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Pattern Block Designs


Grade 1. Follow the instructions to build a pattern block design and explain
your choices.
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Pick 'em Up!


Grade K. Figure out how many more beads are left on the floor after Sharon
picks some of them up.
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Picking Flowers


Grade K. Find combinations of flowers that sum to 6.
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Pizza Night


Grade 2. Use fractions to answer some questions about a family's pizza dinner.
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Pizza Predicament


Grade 1. Divide a pizza equally among four people so that each person gets
their favorite topping.
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Play Ball!


Grade 1. Figure out how to make kickball teams equal.
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Play Date


Grade 1. Figure out how far Jayleen walked.
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Playground Fun


Grade K. Figure out how many children are on the monkey bars.
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Playing Cards


Grade K. Figure out how many cards are being held through number clues.
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Playing with Patterns


Grade 1. Find the next numbers in the pattern.
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Pocket Change


Grade K. Figure out which coins three friends have in their pockets.
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Pretzel Riddle


Grade K. Determine the number of pretzels in a lunchbox.
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Prize Box


Grade K. Find out how many tickets Manuela needs in order to choose something
from the prize box.
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Puppies for Sale


Grade 1. Determine how many puppies are in the crates.
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Reading Superstars


Grade 2. Figure out how many stars each student earned for giving book talks.
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Saul's Cupcakes


Grade K. Figure out how many cupcakes Saul will put on the fifth plate.
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Seashells by the Seashore


Grade 2. Use subtraction and compare numbers of seashells in the Smith twins'
collections.
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ShipShape


Grade K. Order the shapes from least sides to most sides.
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Snack Time!


Grade 1. Figure out how many graham crackers are needed to feed three friends.
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Snow Day!


Grade 1. Figure out how many mittens the Lee children need.
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Soccer Madness


Grade K. Compare the number of goals scored and order them from least to
greatest.
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Summer Days


Grade 1. Use your knowledge of time and money to answer some questions about
a lemonade stand.
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Superhero

Grade 1. Help the superhero figure out how many laps he's done.
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Thanksgiving Day


Grade K. Use a calendar to count how many more days there are until
Thanksgiving.
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The Morning Bus


Grade 1. Find out if Beth will make it to the school bus on time.
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The Pond


Grade 1. Solve a multistep problem to figure out how many geese are left in
the pond.
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The Snake's Next Meal


Grade K. Use your understanding of the calendar to figure out when the snake
will eat again.
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The Van Ride


Grade 1. Help four friends decide where to sit in a new van.
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The Yard Sale


Grade K. Which two things can you buy at a yard sale with 9 pennies?
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Try It Out


Grade K. Show the number 10 in different ways.
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TugofWar


Grade 2. Figure out which team has the advantage in a game of tugofwar.
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Up, Up, and Away!


Grade 2. Use fractions to figure out how many yellow balloons the clown has.
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Warming Up!


Grade 1. Divide marshmallows equally between Suresh and his sister.
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Who Has More Apples?


Grade 1. Figure out how many more apples Alexa has than Tom.
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Yoli's Lollipops


Grade K. Try to guess which color lollipop Yoli will get.
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Yummy Gummy Bears


Grade 1. Figure out how many treats each of three friends can have on their
way home from school.
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