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diamond Library of Math Forum Problems

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Operations with Numbers
Problems in this category involve use of basic operations (addition, subtraction, multiplication, division), sometimes in combination. They may also ask students to apply their skills in mental math, rounding and estimation, and help students develop operational sense.

Some of these problems address these specific subtopics:

Related Resources
Interactive resources from our Math Tools project:
   Math 1: Operations with Numbers
NCTM Standards:
   Number and Operations Standard for Grades Pre-K-3

Access to these problems requires a Membership.

Add or Subtract? -
active problem Grade 2. Find the answer to a question and then settle a disagreement between two friends. ... more>>

Ants on a Bun -
active problem Grade K. Find out how many ants were at a picnic. ... more>>

Apple Celebration -
active problem Grade 1. Figure out the growth pattern of a tree to predict its future height. ... more>>

A Summer Garden -
active problem Grade 2. Figure out the number of sunflowers in a garden. ... more>>

A Trip to the Ballpark -
active problem Grade 2. Figure out how many blocks Kevin walked between his home and the park. ... more>>

At the Bake Sale -
active problem Grade 1. What can you can buy at the bake sale with the money you have? ... more>>

At the Fair -
active problem Grade 2. Find the different ways you can earn enough points to win a toy. ... more>>

At the Grocery Store -
active problem 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 -
active problem Grade K. Find the total number of blocks Tom walked. ... more>>

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

Back to School -
active problem Grade 2. Figure out how many packs of pencils Mr. Gonzalez needs for his class. ... more>>

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

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

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

Birthday at the Ballpark -
active problem Grade 2. Figure out how many car trips it will take for all of the friends to get to the ballpark. ... more>>

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

Bubblegum -
active problem Grade 2. Divide pieces of bubblegum equally among three sisters. ... more>>

Building a Tower -
active problem Grade K. How many blocks has Ming put on Ali�s tower? ... more>>

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

Catching Minnows -
active problem Grade 2. Figure out how many minnows Anna will catch if she continues a pattern. ... more>>

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

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

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

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

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

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

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

Counting Shells -
active problem Grade 2. Use the clues to figure out how many shells Jack has. ... more>>

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

Dog Packs -
active problem Grade 2. Figure out how many dogs were in each of 3 packs before more dogs joined them. ... more>>

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

Donuts on a Tray -
active problem Grade 2. Help Glenda to figure out how to arrange snacks on a tray in equal rows. ... more>>

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

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

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

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

Fourth of July -
active problem Grade 2. Figure out how many hot dogs and hot dog buns a mom needs to buy for a barbecue. ... more>>

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

Get Yer Popcorn! -
active problem Grade 2. Add and subtract money and compare prices of snacks at the school play. ... more>>

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

Goody Bags -
active problem Grade 2. How many red and green gumdrops will Antonia put in each goody bag if she wants each goody bag to be different? ... more>>

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

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

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

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

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

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

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

How Many Cookies Can I Buy? -
active problem Grade 2. Find out how many cookies you can buy at the bake shop with the money you have. ... more>>

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

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

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

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

Jordan's Jobs -
active problem Grade 1. Figure out if Jordan has enough money to buy a scooter. ... more>>

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

Magic More Machine -
active problem Grade K. Figure out what the Magic More Machine does when you put fruits and veggies into it. ... more>>

Magic Rabbits -
active problem Grade K. Figure out how many rabbits will appear from the magician�s hat. ... more>>

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

More Milk! -
active problem Grade 2. Figure out how many glasses of milk Davin drinks in one week. ... more>>

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

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

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

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

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

Picnic at the Park -
active problem Grade 2. Figure out how many sandwiches one loaf of bread can make. ... more>>

Picture This -
active problem Grade 2. Find out how many pictures Isabel will finish if she keeps drawing more each day. ... more>>

Pinecones -
active problem Grade 2. Figure out how many pinecones Marissa collected and how many more she needs to make her mother a present. ... more>>

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

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

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

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

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

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

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

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

Rock Garden -
active problem Grade 2. Figure out how much some rocks weigh. ... more>>

Saving Up -
active problem Grade 2. Figure out how much money Jackie saves after three weeks of babysitting. ... more>>

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

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

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

Snow Globes -
active problem Grade 2. Follow a pattern to figure out how many snow globes Angie will place on her shelves. ... more>>

Spin Art -
active problem Grade 2. Figure out how many more bottles of purple paint Marcus and Lyle need so they don�t run out before the school fair ends. ... more>>

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

Superhero -
active problem Grade 1. Help the superhero figure out how many laps he�s done. ... more>>

The Card Game -
active problem Grade 2. Figure out how many dots are on each card in Suki�s card game. ... more>>

The Class Play -
active problem Grade 2. Figure out how many ways 12 chairs can be placed in equal rows. ... more>>

The Cookout -
active problem Grade 2. Find out how many burgers Ali cooks at the cookout. ... more>>

The Eagle and the Bear -
active problem Grade 1. Figure out how many fish the eagle has to catch to tie the bear in their fishing contest. ... more>>

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

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

The Sticker Collection -
active problem Grade K. Determine how many stickers David has, based on how many stickers his sister has. ... more>>

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

Trading Card Price Tag -
active problem Grade 2. How much is Richie�s Red Sox card worth? ... more>>

Trail Mix -
active problem Grade 2. Help Samantha double a recipe for trail mix. ... more>>

Trolls and Dogs -
active problem Grade 2. Figure out how wide 2 stuffed animals are. ... more>>

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

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

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

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

Winter Is Coming! -
active problem Grade 2. Figure out how many nuts a squirrel has left. ... more>>

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