T-101 Problem Solving
Direction: Use your problem solving skills to solve each of the following problems. Each problem has a suggested plan.
GUESS AND CHECK
Tom and Barb have only nickels and dimes. Barb has 75 cents and Tom has 90 cents. Both have the same number of coins and Tom has the same number of dimes as Barb has nickels. How many nickels does Barb have?
USE A VARIABLE
After the first two terms in the following sequence, each number is the sum of the preceding two. Find the missing numbers. 4, ___, ___, ___, ___, 67
LOOK FOR A PATTERN
How many beads are hidden under the cloud? (Link To Picture in Adobe)
MAKE A LIST
I am thinking of three different whole numbers. The product of the three whole numbers is 36. Five more than the sum of the numbers is a perfect square. What is the sum of my numbers?
SOLVE A SIMPLIER PROBLEM
33333333342
equals a 20 digit number. What is the sum of the digits?
DRAW A PICTURE
The surface of Big Lake is 31 feet above the surface of Long Lake. Long Lake is half as deep as Big Lake and the bottom of Long Lake is 8 feet below the bottom of Big Lake. How deep is each lake?
Solve each of the following problems.
1. What is the 100th in the sequence 13, 20, 27, 34, 41, …
2. Find the following sum: 1 + 6 + 11 + 16 + 21 + 26+ … + 271
3. 3. If you raise 3 to the 328th power, what is the unit’s digit?
4. If it takes 7 ½ minutes to boil an egg, how long does it take to boil five eggs?
5. Use the numbers 1 thru 9 to make a magic square?
6. A frog is at the bottom of a 20 foot well. Each day it crawl us 4 feet but each night
it slips back 3 feet. After how many days will the frog reach the top of the well?
Answers
Barb has 7 nickels 1. 706 5. 6 7 2
11, 15, 26, 41 2. 7480 1 5 9
116 3. 1 8 3 4
2+3+6 = 11 4. 7 ½ minutes
61
46 feet and 23 feet 6. 17 days