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The Strategies of Making a Table and Drawing a Picture in Word Problems Practice Questions

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Updated on Oct 3, 2011

To review these concepts, go to The Strategies of Making a Table and Drawing a Picture in Word Problems Study Guide.

The Strategies of Making a Table and Drawing a Picture in Word Problems Practice Questions

Practice 1

Try the strategy of making a table with the following practice set. Check your solutions with the answer explanations at the end of the lesson to monitor your progress with this strategy.

Problems

  1. Harry has $0.14 in his pocket. How many different combinations of coins could he have in his pocket if there are at least two different types of coins (pennies, nickels, and dimes)?
  2. Kevin is saving his money for a trip. Each day he saves $2 more than the previous day. If he begins by saving $9 on the first day, how much money has he saved after 5 days?

Solutions

  1. Read and understand the question. This question is asking for the number of combinations of coins Harry could have in his pocket if he has $0.14.

    Make a plan. Make a table of possibilities using pennies, nickels, and dimes. Add the amounts to be sure each has a total of $0.14. There are at least two different types of coins in Harry's pocket.

    Carry out the plan. Make a table with a row for dimes, nickels, and pennies. A possible table is shown next.

    The Strategies of Making a Table and Drawing a Picture

    Fill in the table considering all possible combinations of two or more types of coins. For example, start with 1 dime. With 1 dime, he could have 4 pennies. Continue to fill in the table in this fashion. A possible completed table follows.

    The Strategies of Making a Table and Drawing a Picture_Answers

    There are three possible combinations of coins.

    Check your work. The only ways to have $0.14 in change with at least two different coins are 1 dime and 4 pennies, 2 nickels and 4 pennies, and 1 nickel and 9 pennies. There are three combinations, so this problem is checking.

  2. Read and understand the question. Kevin is saving money beginning the first day with $9. This question asks for the total amount saved after 5 days.

    Make a plan. Make a table with a column for the number of days from 1 to 5, and a column for the total amount saved each day. Add the totals in the amount saved column to find the total money saved.

    Carry out the plan. Make the table. A possible table follows.

    The Strategies of Making a Table and Drawing a Picture

    Fill in the amounts for each day by beginning with $9 on day 1. Add $2 for each day, and continue to day 5. A completed table follows.

    The Strategies of Making a Table and Drawing a Picture

    Add the amounts in the total amount saved column to find the total money: 9 + 11 + 13 + 15 + 17 = 65. He has saved $65 for his trip.

    Check your work. Start with the total amount saved, $65, and subtract the amounts saved each day. $65 – 9 – 11 – 13 – 15 – 17 = 0. This question is checking.

Practice 2

Drawing a picture or diagram can be a very useful tool when you are solving certain math word problems. Use this strategy when you are working out the problems in the practice set that follows.

Problems

  1. Tyrone is planting seeds in his garden. Each seed needs a total of one square foot to have enough room to grow. How many seeds can be planted if the dimensions of his garden are 1 yard by 2 yards?
  2. Tony, Betty, Joe, and Frank are sitting in a row of four chairs facing toward you. Betty is not sitting on the end. Joe is next to Tony, but is not sitting next to Betty. Frank is sitting one seat to the right of Betty. In what order are the four people in the row?
  3. Robert has a rectangular yard. He is going to place a post every 4 feet to put up a fence for his dog, which will include one at each corner. If the dimensions of his yard are 24 feet by 12 feet, how many posts will he need?
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