Problem Bank

Problem Bank – our storage bunker for potential math problems to use in the classroom

Equal sharing involves a total number of items to be distributed to a given number of groups, usually people. This type of problem requires that children give each person the same-sized share and use up (or exhaust) all the sharing material.

  • Four children want to share five candy bars so that everyone gets the same amount. How much candy bar can each child have?
  • Jeremy is making cupcakes. He wants to put 1/2 cup of frosting on each cupcake. If he makes 4 cupcakes for his birthday party, how much frosting will he use to frost all of the cupcakes?
  • Four children want to share 10 brownies so that everyone gets exactly the same amount. How much brownie can each child have?
  • Four children want to share three blueberry pancakes so that everyone gets the same amount. How much pancake can each child have?
  • Three children want to share five candy bars so that each person gets the same amount. The candy bars are the same size. How much can each child have?
  • Six children want to share four candy bars so that each gets the same amount. How much can each child have?
  • There are five tortillas for three children who would like to share so that everyone gets the same amount. How much tortilla can one person have?
  • Eight kids were sharing 10 small pizzas. How much pizza would each kid get if they shared the pizza equally?
  • There are 12 children who want to share eight little pies so that everyone gets an equal share. How much pie can one child have?
  • Luz has nine candy bars to share with her friends. Altogether, there are 12 children, including Luz. Everyone wants the same amount. How much candy bar can each child have?
  • 12 children in art class have to share eight packages of clay so that everyone gets the same amount. How much clay can each child have?
  • There are three liters of apple juice at a school party. 10 students want to drink all of the apple juice, and they all want to get exactly the same amount. How much apple juice can each student have?
  • 20 children want to share 12 pounds of beads so that everyone gets the same amount. How much can each child have?
  • There were 36 campers at Camp Green Lake. They had 10 large cheese pizzas to share equally. How much pizza can each camper have?
  • Two people want to share 1 3/4 submarine sandwiches so that each one gets the same amount. How much should each person get?
  • Three children want to equally share 6 1/2 peanut butter sandwiches, with no leftovers. How much can each child have?
  • Drake has 3 3/4 pounds of sunflower seeds. He and his friends are going to share them equally. There are six people altogether, including Drake. If everyone gets the same amount with nothing left over, what is the size of each person’s share?
  • Six children have ordered blueberry pancakes at a restaurant. The waiter brings eight pancakes to their table. If the children share the pancakes evenly, how much can each child have?

Multiple groupsmultiplication & division word problems that involve a whole number of groups, with a fractional amount in each group. You can use these problems to strengthen children’s understanding of fractions and provide an introduction to computation with fractions

  • Each small cake takes 3/4 of a cup of frosting. If Betty wants to make 24 small cakes, how much frosting will she need?
  • Each small cake takes 2/3 of a cup of frosting. If Tonia made eight cups of frosting, how many small cakes can she frost?
  • The zookeeper has four cups of frog food. His frogs eat 1/3 cup of food each day. How long can he feed the frogs before the food runs out?
  • Nina has 10 1/2 yards of fabric to make pillows. If each pillow takes 3/8 of a yard of material, how many pillows can Nina make before she runs out of fabric?
  • Each little cake takes 3/4 of a cup of frosting. If Lillian wants to make 20 little cakes for a party, how much frosting will she need?
  • It takes 2/3 of a yard of material to make a pillow. How many yards of material would it take to make 15 pillows?
  • Mr. Scott has 12 cups of frog food. His frogs eat 1 1/2 cups of food each day. How long can he feed the frogs before the food runs out?
  • John has 12 peanut butter and jelly sandwiches. How many children could John feed with these sandwiches if he gives 3/4 sandwich to each child?
  • It takes 3/8 cup of sugar to make a loaf of bread. How much sugar would you need to make 16 loaves of bread?
  • Megan has 16 half dollars. How many whole dollars does she have?
  • It takes 3/5 yard of ribbon to make a bow. How many bows could you make with 7 1/2 yards of ribbon?
  • Eve’s gecko eats 2/7 jar of baby food a day. She has 10 jars of baby food. How many days can she feed her gecko with this food?
  • Kennedy has 20 pounds of M&Ms to make party favors. It takes 5/8 pound of M&Ms to fill one bag. How many bags of M&Ms can Kennedy fill with her M&Ms?

Problems for Decimals

  • Selena has six bags of books with 10 books in each bag. How many books does Selena have?
  • I have 84 potatoes. 10 potatoes fit in each bag. How many bags would it take to hold all of my potatoes?
  • Jose has 24 boxes with 10 rocks in each box. How many rocks does Jose have?
  • Ms. Gomez has 359 dollars. She wants to use this money to buy teddy bears for the children’s hospital. If each teddy bear costs 10 dollars, how many teddy bears could she buy?
  • The pencil factory makes 3,875 pencils a day. They put the pencils into boxes with 10 pencils in each box. How many boxes of pencils do they make in one day?
  • The pencil factory makes 3,875 pencils a day. They put the pencils into cartons with 100 pencils in each carton. How many cartons of pencils do they make in one day?
  • Julie has six huge candy bars. If she eats 1/10 candy bar each day, how long will these six huge candy bars last?
  • The bakery has 58 pounds of frosting. It takes 1/10 pound of frosting to frost a cupcake. How many cupcakes could the bakery frost with the frosting they have?
  • Henry uses 1/10 package of cinnamon in each batch of cinnamon cookies he makes. If Henry has 3 7/10 packages of cinnamon,
    how many batches of cookies can he make?
  • Juan uses 0.1 pound of flour to make a batch of cookies. How many batches of cookies can he make with 3.75 pounds of flour?

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    1. The Problem Bank « Math Journeys
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