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Bolles M4thodology Institute 2013
Session 1 Level: K – 2
Word Problems for Model Method
Solutions are available at www.banhar.blogspot.com
Basic Problems
These are typical Grade 2 word problems.
1. Jon has 52 seashells in his collection. Ken has 29 seashells in his collection.
How many seashells do the two boys have altogether?
Who has more seashells? How many more?
2. After paying for her groceries in cash, Mrs. Martin still has $142 in her wallet.
Her groceries cost $128. How much cash did she have before paying for the groceries?
3. There are 150 candies in a large candy pack.
There are 85 more candies in a large candy pack than in a small one.
How many candies are there in a small candy pack?
4. Sam put 14 coins in his coin box on Monday.
On Tuesday, he put 7 more coins in the box than he did on Monday.
On Wednesday, he put 7 more coins in the box than he did on Tuesday.
How many coins did he put in the coin box on the three days altogether?
5. One bag is 18 lbs heavier than another.
The lighter bag is 43 lbs.
Find the total weight of the two bags.
6. Kim has three times as much money as Larry.
Together, they both have $128.
How much money does Kim have?
Bolles M4thodology Institute 2013
Session 2 Level: 3 – 6
Word Problems for Model Method
Basic Problems
1. 25% of a number is 108.
Find the value of the number.
2. The number of boys to the number of girls in a group is 2 : 3.
There are 15 more girls than boys.
How many boys are there in the group?
3. Two numbers are printed on a card.
One number is four times the value of another number.
Find the value of the other number.
4. Sam has $30 more than Terry at first.
Terry gave $12 Sam.
Sam now has 3 times as much money as Terry.
How much money does Terry have at first?
5. Zack spent
4
1
of his savings on a gift and
2
1
of the remainder on a book.
The book cost $12. How much was Zack’s savings?
6. In a basket,
9
5
of the fruits are apples and the rest are oranges.
10
3
of the apples are green. There are 15 green apples.
How many fruits are there in the basket?
412
Challenging Problems
1. Emma and Farid shared the total cost of a present.
Emma paid $15 more than
8
3
of the cost of the present.
Farid paid $25. How much did the present cost?
2. There were a total of 60 chairs and tables in a room. There were 4 times as many chairs
as tables. After 18 chairs and some tables were removed, there were 3 times as many
chairs as tables left. How many tables were removed from the room?
3. At Mr. Chan’s fruit stall,
4
3
of the apples were red and the rest were green.
He sold
2
1
of the total number of apples.
6
5
of the apples sold were red. 28 green apples
were sold. How many red apples did Mr. Chan sell?
4. Mario had five boxes of marbles. At first, each of the boxes contained the same number
of marbles. He took 18 marbles from each box. After that, the total number of marbles
left in the 5 boxes was equal to the total number of marbles in 2 of the boxes at first.
Find the number of marbles in each box at first.
5. Norma and Peter went shopping together with a total sum of $60.
Norma spent twice as much as Peter.
The amount Peter had left was $7 more than what he had spent.
He had twice as much money left as Norma.
How much money did Peter spend?
How much money did Norma have at first?
6. Mr. Wong had a number of books for sale.
He sold a total of 342 books on Saturday and Sunday.
On Monday, he sold
4
1
of the remainder.
He was left with 18% of the books he had at first.
How many books did he have at first?

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M4thodology Problems for Bar Model Classes

  • 1. Bolles M4thodology Institute 2013 Session 1 Level: K – 2 Word Problems for Model Method Solutions are available at www.banhar.blogspot.com Basic Problems These are typical Grade 2 word problems. 1. Jon has 52 seashells in his collection. Ken has 29 seashells in his collection. How many seashells do the two boys have altogether? Who has more seashells? How many more? 2. After paying for her groceries in cash, Mrs. Martin still has $142 in her wallet. Her groceries cost $128. How much cash did she have before paying for the groceries? 3. There are 150 candies in a large candy pack. There are 85 more candies in a large candy pack than in a small one. How many candies are there in a small candy pack? 4. Sam put 14 coins in his coin box on Monday. On Tuesday, he put 7 more coins in the box than he did on Monday. On Wednesday, he put 7 more coins in the box than he did on Tuesday. How many coins did he put in the coin box on the three days altogether? 5. One bag is 18 lbs heavier than another. The lighter bag is 43 lbs. Find the total weight of the two bags. 6. Kim has three times as much money as Larry. Together, they both have $128. How much money does Kim have?
  • 2. Bolles M4thodology Institute 2013 Session 2 Level: 3 – 6 Word Problems for Model Method Basic Problems 1. 25% of a number is 108. Find the value of the number. 2. The number of boys to the number of girls in a group is 2 : 3. There are 15 more girls than boys. How many boys are there in the group? 3. Two numbers are printed on a card. One number is four times the value of another number. Find the value of the other number. 4. Sam has $30 more than Terry at first. Terry gave $12 Sam. Sam now has 3 times as much money as Terry. How much money does Terry have at first? 5. Zack spent 4 1 of his savings on a gift and 2 1 of the remainder on a book. The book cost $12. How much was Zack’s savings? 6. In a basket, 9 5 of the fruits are apples and the rest are oranges. 10 3 of the apples are green. There are 15 green apples. How many fruits are there in the basket? 412
  • 3. Challenging Problems 1. Emma and Farid shared the total cost of a present. Emma paid $15 more than 8 3 of the cost of the present. Farid paid $25. How much did the present cost? 2. There were a total of 60 chairs and tables in a room. There were 4 times as many chairs as tables. After 18 chairs and some tables were removed, there were 3 times as many chairs as tables left. How many tables were removed from the room? 3. At Mr. Chan’s fruit stall, 4 3 of the apples were red and the rest were green. He sold 2 1 of the total number of apples. 6 5 of the apples sold were red. 28 green apples were sold. How many red apples did Mr. Chan sell? 4. Mario had five boxes of marbles. At first, each of the boxes contained the same number of marbles. He took 18 marbles from each box. After that, the total number of marbles left in the 5 boxes was equal to the total number of marbles in 2 of the boxes at first. Find the number of marbles in each box at first. 5. Norma and Peter went shopping together with a total sum of $60. Norma spent twice as much as Peter. The amount Peter had left was $7 more than what he had spent. He had twice as much money left as Norma. How much money did Peter spend? How much money did Norma have at first? 6. Mr. Wong had a number of books for sale. He sold a total of 342 books on Saturday and Sunday. On Monday, he sold 4 1 of the remainder. He was left with 18% of the books he had at first. How many books did he have at first?