Problem Solving Strategies  

"When is a problem not a problem?  

When you know the answer!!!"

 "There are no problems, just situations to be resolved".

Strategy Sample problem  
1.Draw a picture, act it out, use models.  

Some acrobats are planning a new act.  They want to build a human pyramid 5 people wide and 5 people high. How many acrobats will they need for their act?

Jane wants a 16-foot length of 2 x 4 wood cut into eight equal 2-foot lengths. The lumber yard charges 60 cents for cutting a piece of wood into 4 equal pieces. How much will it charge Jane?

 

2. Look for a pattern.  

Would you rather have $100 a day for a month or $1 on the first day and double it each day thereafter for a month?

How long would it take to spread a rumor in a town of 90,000 people if every person who heard the rumor told it to 3 new people every 15 minutes?  

 

3. Construct a table or chart.  

One day farmer Brown was counting her pigs and chickens. She noticed that the pigs and chickens together had 60 legs. If she had 22 animals (pigs and chickens) altogether, how many of each did she have?

A local Ben and Jerry’s sells 15 flavors of ice cream. You can order your ice-cream in a sugar cone, a waffle cone or a dish. How many different options do you have?  

 

4. Make an organized list.  

Mary has 3 four cent stamps and 4 three cent stamps. What different amounts of postage can she make with these stamps?

A 3lb bag of sugar costs $2.79. A 5lb bag costs $3.98. How many bags of each would you buy to get the best deal on a total of at least 28lbs?  

 

5. Work backwards.  

If two whole numbers have the sum of 18 and the product  of 45, what are the numbers?  

Dave, yes Dave, baked some cookies. He put half of them away for the next day. He divided the remaining cookies equally between three friends so each got 4. How many cookies did he bake?  

 

6. Use logical reasoning.   Tom, Julie and Harry work in a bank. One is the manager, one is the teller and one is the cashier. The teller, an only child earns the least. Harry, who married Tom’s sister,  earns more than the manager. What job does each have?  

 

7. Write a sentence or equation.  

An ant walks 33 cm. in walking completely around the edge of a rectangle. If the rectangle is twice as long as it is  wide, how long is each side?

2/3 of a number is 24. Half the number is 18. What is the number?  

 

8. Try a simpler problem or analog.   How thick is a sheet of paper? Find the answer using a ruler as your measuring instrument.  

 

9. Guess. and check  

Marge hit the dartboard with 3 darts. Each dart hit a different number and her total core was 25. What numbers might she have hit to make that score?  

Place the numbers 1 through 9 in the cells of a 3 x 3 square so that the sum in each direction is 15.  

 

Last updated April 6, 2004

For more information contact Tim Whiteford at: