Multiplication Word Problems (2-step word problems)
Singapore Math
More Math Word Problems
Here are some examples of multiplication word problems that can be solved in two steps. We will illustrate how block diagrams or thinking blocks or tape diagrams can be used to help you to visualize the multiplication word problems in terms of the information given and the data that needs to be found. Block diagrams are used in Singapore Math.
Example:
A jacket costs 3 times as much as a pair of shoes. If the pair of shoes costs $56, what is the total cost of the jacket and the pair of shoes?
Solution:
Step 1: Find the cost of the jacket.
56 × 3 = 168
The jacket costs $168
Step 2: Find the total cost of the jacket and shoes.
168 + 56 = 224
The total cost of the jacket and shoes is $224
Example:
Betty needs 2245g of sugar to bake some cookies. She has 4 packets of sugar. The mass of each packet of sugar is 500g. How much more sugar does she need?
Solution:
Step 1: Find the total mass of the 4 packets of sugar.
500 × 4 = 2000
Step 2: Find how much more sugar she needs.
She needs 245g more sugar.
Susan has 400 sheets of paper. She gives 5 sheets of paper to every student in a class. There are 62 students in the class. How many sheets of paper has she left?
Solution:
Step 1: Find the number of sheets of paper that she gave out.
62 × 5 = 310
She gave out 310 sheets of paper.
Step 2: Find the number of sheets of paper she has left.
She has 90 sheets of paper left.
How to identify the operations in two step word problems by using problem solving steps and a model?
How to solve a two-step multiplication word problem using a bar model?
Example:
Sally enters an eating competition with her friend Josie. Sally eats 27 hotdogs in two hours. Josie eats seven times more hotdogs than Sally does. How many hotdogs does Josie eat? How many more hotdogs does Josie eat than Sally?
How to solve a multiplication word problems using a bar model?
Example:
The second graders collect 65 books for the book drive. They put some of the books in boxes and have 25 books left to pack. The third graders have 4 times as many books in boxes. There are none left to pack. How many books do the third graders collect?
Step 1: Find the number of books that the second graders fit into the boxes.
Step 2: Find the number of books the third graders collect. How to solve a two-step word problem by drawing a picture and creating an equation?
Example:
Abe went running 4 days this past week. He ran 9 km each day. In that same week, Beth ran 15 fewer km than Abe. How many kilometers did Beth run that week?
Step 1: Find how far Abe ran that week?
Step 2: Find how far Beth ran that week? How to solve multiplication word problems using bar models?
Multiplication Tips
• When a problem says "times as many" add one unit bar at a tome while counting
• Draw smaller units to begin with.
• Double check to make sure your model mirrors the problem.
• Students will approach their computations differently
Examples:
1. Tabitha took 4 times as many selfies as Cassie. If they took 60 selfies altogether, how many selfies did Tabitha take?
2. Gerald had 3 times as many first place ribbons as Connor. If they had 220 ribbons altogether, how many ribbons did Gerald have?
3. A rope that's 1,530 inches long is cut into to pieces. The length of one piece is 2 times the length of the other. What is the length of the longer piece?
4. A piece of fabric that is 1,640 feet long is cut into two pieces. The length of one piece is 3 times the length of the other. What is the length of the longer piece?
5. Rodney had 3 times as much money as Clarice. Ginger had 2 times as much money as much money as Clarice. If Ginger had $98.00, how much money did Rodney have?
6. Harry had 2 times as many vacation days as Alex. Kinsey had 3 times a many vacation days as Alex. If Kinsey had 28 vacation days, how many vacation days did Harry have? More Word Problems solved using block diagrams
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