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This page:
  ordering and comparing
  writing numbers
  place value
  ordinal numbers

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operations with numbers
number theory
algebraic thinking
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About the
PoW Library

These problems deal with children's developing concepts of number and their understanding of our base-10 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 Pre-K-2

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? ... more>>

At the Grocery Store -
Grade 1. Find combinations of fruit Katie could buy so that she has the same amount of fruit as Jackson. ... more>>

A Walk to the Park -
Grade K. Find the total number of blocks Tom walked. ... more>>

Baby Birds -
Grade K. Find out how many baby birds are left in the nest. ... more>>

Balloon Fun -
Grade K. Find out the number of balloons two friends have in all. ... more>>

Bat-tastic! -
Grade 1. Figure out the combined wingspans of some friends in bat costumes. ... more>>

Ben's Ice Cream Cone -
Grade 1. Find the different types of ice cream treats Ben can get. ... more>>

Birthday Cake -
Grade K. Draw a picture of a cake and divide it into equal slices. ... more>>

Book Club -
Grade K. Figure out how many more books Ben has to read. ... more>>

Building a Tower
Grade K. How many blocks has Ming put on Ali's tower? ... more>>

Bus Stop -
Grade K. Figure out what time Sally leaves for the bus. ... more>>

Charlie's Gumballs -
Grade 2. How many gumballs does Charlie have left after sharing them with his friends? ... more>>

Clean-up Time -
Grade 1. Figure out how many pencils are left on the floor after some have been picked up. ... more>>

Clowning Around -
Grade 1. Use repeated addition to find out how many balls the clowns are juggling. ... more>>

Color Competition -
Grade K. Use a chart to determine the results of a color popularity contest. ... more>>

Colorful Candies -
Grade K. Find out how many blue candies Sam has. ... more>>

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

Counting Comics -
Grade 1. How many comic books does Sondra have? ... more>>

Counting Gumballs -
Grade K. Figure out how many extra gumballs Steve has. ... more>>

Count Them Up -
Grade 1. Write a number sentence to explain how many pennies Darryl has. ... more>>

Decorating Cookies -
Grade 1. Find out what type of sprinkles Roger will put on the cookies he is baking. ... more>>

Donut Sale -
Grade 1. Figure out how much Geneva has to spend for 8 donuts. ... more>>

Drumsticks -
Grade 1. Figure out how many drumsticks the band needs. ... more>>

Earning Money -
Grade 1. Answer questions about doing chores to earn allowance. ... more>>

Field Day -
Grade 1. Use addition to find out how much time Sofia spent running races. ... more>>

Flower Fun -
Grade 1. Figure out how many pink tulips Michelle will give to her grandmother. ... more>>

Getting Allowance -
Grade 1. Find ways to make 50 cents using different coins. ... more>>

Going Shopping -
Grade K. Which coins should you use to buy a pencil? ... more>>

Goldfish Galore -
Grade 1. Divide 20 goldfish evenly between two friends. ... more>>

Growing Up -
Grade K. Figure out how much more I have to grow to be as tall as my dad. ... more>>

Gum for Everyone! -
Grade 1. Can 10 (and then 11) pieces of gum be shared equally among three people? ... more>>

Gym Line
Grade K. Identify a pattern and use it to figure out who's next in line. ... more>>

Hannah's Cookies -
Grade K. Determine how many cookies Jacob has, based on the number of cookies Hannah has. ... more>>

Happy Birthday! -
Grade 1. Use clues to figure out Aaliya's birth date. ... more>>

Helping Hands -
Grade 1. Use fractions to divide some brownies between three classmates. ... more>>

How Big is 100 Pennies? -
Grade K. Estimate whether 100 pennies can fit on a piece of paper. ... more>>

How Big Is Your Foot? -
Grade K. Figure out how long your foot is and how long "twice as long" would be. ... more>>

How Many Berries Did I Eat? -
Grade 1. Reason about whether I ate more blueberries or raspberries. ... more>>

How Many Pinecones? -
Grade K. Use the information given to figure out how many pinecones Midori has. ... more>>

How Tall Is Your Tower? -
Grade 1. Identify the pattern and use it to answer some questions about a row of block towers. ... more>>

I Can Skip Count -
Grade 1. Find the next numbers in the pattern. ... more>>

Ice Cream Party -
Grade K. Figure out the number friends that cannot come to a birthday party. ... more>>

Ice Cream Sandwiches -
Grade K. Find out how many cookies Ariana needs to make enough treats for her friends. ... more>>

I See a Pattern -
Grade K. What is the next number in the sequence? ... more>>

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. ... more>>

Letter to Grandma -
Grade 1. Use fractions to figure out the number of folds in a piece of paper. ... more>>

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. ... more>>

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. ... more>>

Making Sandwiches -
Grade 1. Help Ricardo and Gloria divide their task as fairly as possible. ... more>>

Model Car Collection -
Grade 1. Help Jackson to arrange his model cars on a shelf. ... more>>

Money Matters -
Grade K. Figure out which items you can buy with 11 cents. ... more>>

New Pencils -
Grade K. Figure out how many pencils Paul had before he bought new ones. ... more>>

Number Fun -
Grade 1. Use clues to help Dominic solve a number riddle. ... more>>

Pattern Block Designs -
Grade 1. Follow the instructions to build a pattern block design and explain your choices. ... more>>

Pick 'em Up! -
Grade K. Figure out how many more beads are left on the floor after Sharon picks some of them up. ... more>>

Picking Flowers -
Grade K. Find combinations of flowers that sum to 6. ... more>>

Pizza Night -
Grade 2. Use fractions to answer some questions about a family's pizza dinner. ... more>>

Pizza Predicament -
Grade 1. Divide a pizza equally among four people so that each person gets their favorite topping. ... more>>

Play Ball! -
Grade 1. Figure out how to make kickball teams equal. ... more>>

Play Date -
Grade 1. Figure out how far Jayleen walked. ... more>>

Playground Fun -
Grade K. Figure out how many children are on the monkey bars. ... more>>

Playing Cards -
Grade K. Figure out how many cards are being held through number clues. ... more>>

Playing with Patterns -
Grade 1. Find the next numbers in the pattern. ... more>>

Pocket Change -
Grade K. Figure out which coins three friends have in their pockets. ... more>>

Pretzel Riddle -
Grade K. Determine the number of pretzels in a lunchbox. ... more>>

Prize Box -
Grade K. Find out how many tickets Manuela needs in order to choose something from the prize box. ... more>>

Puppies for Sale -
Grade 1. Determine how many puppies are in the crates. ... more>>

Reading Superstars -
Grade 2. Figure out how many stars each student earned for giving book talks. ... more>>

Saul's Cupcakes -
Grade K. Figure out how many cupcakes Saul will put on the fifth plate. ... more>>

Seashells by the Seashore -
Grade 2. Use subtraction and compare numbers of seashells in the Smith twins' collections. ... more>>

Ship-Shape -
Grade K. Order the shapes from least sides to most sides. ... more>>

Snack Time! -
Grade 1. Figure out how many graham crackers are needed to feed three friends. ... more>>

Snow Day! -
Grade 1. Figure out how many mittens the Lee children need. ... more>>

Soccer Madness -
Grade K. Compare the number of goals scored and order them from least to greatest. ... more>>

Summer Days -
Grade 1. Use your knowledge of time and money to answer some questions about a lemonade stand. ... more>>

Grade 1. Help the superhero figure out how many laps he's done. ... more>>

Thanksgiving Day -
Grade K. Use a calendar to count how many more days there are until Thanksgiving. ... more>>

The Morning Bus -
Grade 1. Find out if Beth will make it to the school bus on time. ... more>>

The Pond -
Grade 1. Solve a multi-step problem to figure out how many geese are left in the pond. ... more>>

The Snake's Next Meal -
Grade K. Use your understanding of the calendar to figure out when the snake will eat again. ... more>>

The Van Ride -
Grade 1. Help four friends decide where to sit in a new van. ... more>>

The Yard Sale -
Grade K. Which two things can you buy at a yard sale with 9 pennies? ... more>>

Try It Out -
Grade K. Show the number 10 in different ways. ... more>>

Tug-of-War -
Grade 2. Figure out which team has the advantage in a game of tug-of-war. ... more>>

Up, Up, and Away! -
Grade 2. Use fractions to figure out how many yellow balloons the clown has. ... more>>

Warming Up! -
Grade 1. Divide marshmallows equally between Suresh and his sister. ... more>>

Who Has More Apples? -
Grade 1. Figure out how many more apples Alexa has than Tom. ... more>>

Yoli's Lollipops -
Grade K. Try to guess which color lollipop Yoli will get. ... more>>

Yummy Gummy Bears -
Grade 1. Figure out how many treats each of three friends can have on their way home from school. ... more>>

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