Problem Solving

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  • Thomas had a bag with 30 marbles. If 12 of them are red, what is the probability that he will pull a red one out randomly? Common Core: Grade 6 Statistics and Probability: 6.SP.A.1, 6.SPA.2

  • "Last year there were 89 third graders at Johnson Elementary School. This year there are five more." Five school-themed math addition problems.
  • "There are three rows of pencils. Each row has four pencils. How many colored pencils does Yoko have?" Five school-themed multiplication problems.
  • "There are two boys in every row on Bruce’s bus. How many boys are there in two rows?" Five school-themed math problems using skip counting.
  • "Matt has to read a 53-page book by tomorrow. So far he has read 48 pages. How many more pages does he have to read?" Five school-themed subtraction word problems.
  • Michael had nineteen balloons. Eight of them were red, four were blue, two were yellow, and the rest were green. How many were green? Six word problems.
  • Create a story problem for this answer: Jacob had four caramel apples left over. Six word problems.
  • Amanda had $3.00. She bought a hot dog for $1.35, chips for 35 cents, and a drink for 85 cents. Did she have enough money? Did she have money left over? If so, how much? Six word problems.
  • Joseph has two cousins. The sum of their ages is 18 years. One cousin is four years older than the other. Mrs. Smith guessed that the ages were 7 and 11. Was her guess correct? Six word problems.
  • John finished a bicycle race in second place. The first four people crossed the finish line at: one-twenty, a quarter after one, five minutes to one and 1:07. What time did John cross the finish line? Six word problems.
  • Robert went to the store with $10.00. He bought a notebook, three pencils and two erasers. He came home with $2.89. How much money did he spend? Six word problems.
  • Jennifer wants to buy a new hockey puck that costs $5.25. She has $2.30. She can earn 50 cents an hour by raking leaves. How many hours will she have to work to get the money she needs? Six word problems.
  • Kyle had four bags of candy that he bought for $1.50 per bag. Each bag has six pieces of candy in it. How many more bags does he need to buy to give each of his twenty-five classmates one piece? How much will it cost altogether? Six word problems.
  • Cody had nineteen pieces of candy. He gave five away. Then he ate six pieces. He traded four pieces for a baseball card. How many pieces of candy does he have left? Six word problems.
  • Create a story problem for this answer: "Morgan caught four turkeys." Six word problems.
  • Dylan poured punch at the class party. There are twenty-five people in Dylan’s class. He gave each person 100 ml of punch. How many liters of punch did the class need for the party? Six word problems.
  • Heather says, "I have two numbers in mind. When I subtract the smaller from the larger, the difference is seven. When I multiply the two numbers, the product is eighteen. What are my two numbers?" Six word problems.
  • There are pictures of snakes in three overlapping circles. There are ten snakes in circle A, twenty snakes in circle B, and thirteen snakes in circle C. Six of the snakes are in both circles A and B. Five of the snakes are in both circles B and C. How many snakes are there in all? Six word problems.
  • Abigail saw the same number of pigs and chickens at the farm. She counted twelve legs. How many were pig legs and how many were chicken legs? Six word problems.
  • Andrea brought seventy-five Valentines candies to school. If there are twenty-eight students in her class, how many candies can each student have if Andrea wants them all to have the same amount? Will there be any left over? Six word problems.
  • Mr. Wilder is taller than Ms. White. Mr. Singer is shorter than Ms. White. Ms. Jackson is taller than Ms. White, but she is not the tallest teacher. Put all of these teachers in order according to their height. Six word problems.
  • Jordan has eight apples. Cameron has half as many apples as Jordan. Natalie has three-quarters as many apples as Cameron. How many apples does each person have? How many do they have altogether? Six word problems.
  • Brooke has eleven flowers. She has more tulips than roses. What are the possible combinations of tulips and roses, if she only has these two types of flowers? Six word problems.
  • Dakota went to the store. He bought three note pads for $.75 each, four pencils at 2 for $.35 and one candy bar, which was being sold at 3 for $1.80. How much money did he spend? How much did he get back from the $10.00 he gave the clerk? Six word problems.
  • Paige, Cassandra, and Katie earned $12.45 by working for a neighbor. Assuming they worked equal amounts, what would each girl’s share be? Six word problems.
  • Sydney got twenty-one e-mails on Monday, nineteen on Tuesday, thirty-seven on Wednesday, eight on Thursday, and twenty-three on Friday. How many e-mails did she get on Monday, Tuesday, Wednesday, and Friday, combined? Six word problems.
  • 21 pages of word problems; six problems per page. Pages are lettered. Some sets of questions contain a "brain teaser".
  • Answers to the word problems from sets A-U, grouped by page.
  • All the word problems from sets A-U, unnumbered and unformatted; these can be cut into strips and glued into math journals for daily practice. Answers are provided.
  • "Ed and his sister are helping cook Thanksgiving dinner. They decide to have a potato-peeling contest. Ed peels twenty-two. His sister peels six more than that. How many did she peel?" Five Thanksgiving-themed addition word problems.
  • "Mike and his brother Pat are selling pumpkins they grew. If Mike sells nine and Pat sells seven, how many do they sell in all?" Five Thanksgiving-themed addition word problems.
  • "Myron analyzed the caloric content of his Thanksgiving dinner for his science class. His serving of stuffing had 619 calories. His serving of pumpkin pie had 780 calories. His serving of turkey had 282 calories. How many calories were there in his stuffing and turkey combined?"
  • "Bud is helping his mother bake an apple pie for Thanksgiving dinner. He peels the apples. It takes him two minutes to peel an apple. How long does it take him to peel seven apples?" Five Thanksgiving-themed multiplication word problems.
  • "Mr. Vogel is a farmer. He raised twenty turkeys this year. He sold eighteen and kept two as pets. He charged sixteen dollars per turkey. What was the total selling price?" Five Thanksgiving-themed multiplication word problems.
  • "Greg and his friends are making Thanksgiving decorations. Each child makes five. How many do four children make? How many do five make? How many do six make?" Five Thanksgiving-themed skip counting (by fives) word problems.
  • "Eddie can pick and clean ten pumpkins per hour. How many can he do in four hours? How many in five? How many in six?" Five Thanksgiving-themed skip counting (by tens) word problems.
  • "Renee’s mother has forty-eight pieces of pumpkin pie on the counter in the kitchen on Thanksgiving. The dog eats six while she’s not looking. How many pieces of pie are left?"
  • "Yolanda’s Thanksgiving turkey weighs twenty pounds. Her family eats seventeen pounds at dinner. How many pounds are left?"
  • "For his science class at school, Charles wants to calculate how much his relatives eat on Thanksgiving. He weighs the food before it is served and then he weighs the leftovers. The food weighed 960 ounces. The leftovers weighed 89 ounces. How many ounces of food did his family eat?"
  • "Look at the clock. What time does Brenda get up on Thanksgiving Day?" Five time-telling questions with clocks.