Problem of the Week Archive: 4-6

Problem of the Week 10_30

Season: 
10
Problem ID Number: 
30
Week Of: 
Monday, May 17, 2010
Due Date: 
Thursday, May 20, 2010
Grade Levels: 
4-6
Content Standards: 
Grade 6, AF 2.2
Problem Of the Week Printout: 

Mr. Vang’s class is having a party to celebrate everyone passing a test. Sarah has been asked to bring enough soda for 6 people. At the market, Sarah has four choices:
o A 6 pack of 12 fluid ounces per can for $1.49.
o A 12 pack of 12 fluid ounces per can for $2.49.
o A 6 pack of 20 fluid ounces per bottle for $2.39
o A 2-liter bottle with 67.6 fluid ounces for $1.09

1. List the different options in order from the lowest cost per fluid ounce to the highest cost per fluid ounce.

Problem of the Week 10_26

Season: 
10
Problem ID Number: 
26
Week Of: 
Monday, April 19, 2010
Due Date: 
Thursday, April 22, 2010
Grade Levels: 
4-6
Content Standards: 
Grade 4, SDAP 2.1, 2.1, Grade 5, SDAP 1.3, Grade 6, SDAP 3.1, 3.3
Problem Of the Week Printout: 

A candy machine contains orange, yellow, and purple gobstoppers. The probability of getting an orange gobstopper is ¾. The probability of getting a yellow gobstopper is 1/6.

1. What is the probability of randomly getting a purple gobstopper? Explain how you determined your answer.

2. What is the fewest number of gobstoppers that could be in the machine?

3. If there are 36 gobstoppers in the machine, how many are purple? What percent are yellow? What percent are orange?

Fresno County Office of Education • Larry Powell, Superintendent

Problem of the week 10_22

Season: 
10
Problem ID Number: 
22
Week Of: 
Monday, March 8, 2010
Due Date: 
Thursday, March 11, 2010
Grade Levels: 
4-6
Content Standards: 
Grade 5, MG 1.2, 1.3 MR 2.3, 2.4
Problem Of the Week Printout: 

If you were given 24, 1x1x1 inch cubes, what arrangement will give a rectangular prism with the minimum surface area? What arrangement will give a rectangular prism with the maximum surface area?

Use specific examples to illustrate your ideas. Be sure to answer each question using a complete sentence.

Fresno County Office of Education • Larry Powell, Superintendent
Melinda Riccardi, Math On Call Program Producer, mriccardi@fcoe.org (559) 265-4044
Fax: (559) 265-3041
2009-2010

Problem of the Week 10-14

Season: 
10
Problem ID Number: 
14
Week Of: 
Monday, January 4, 2010
Due Date: 
Thursday, January 14, 2010
Grade Levels: 
4-6
Content Standards: 
4th: MG 1.2, 1.3, 1.4 6th: NS 2.3
Problem Of the Week Printout: 

Mr. Wilson’s class will raise chickens for their science fair. They have 36 feet of fencing with which to build a rectangular pen. If Mr. Wilson’s students want their chickens to have as much room as possible, how long should each of the sides of the pen be?

Show and explain your thinking. Answer the question using a complete sentence.

Fresno County Office of Education • Larry Powell, Superintendent
Melinda Riccardi, Math On Call Program Producer, mriccardi@fcoe.org (559) 265-4044
Fax: (559) 265-3041
2009-2010

Problem of the Week 10-6

Season: 
10
Problem ID Number: 
6
Grade Levels: 
4-6

If a 1.7 trillion dollar tax cut was divided equally among 260 million people over a 10-year period, how much money would each person save each year? Explain your solution and why your solution method is valid.

Problem of the Week 10-2

Season: 
10
Problem ID Number: 
2
Grade Levels: 
4-6

If 1 1/2 seals eat 1 1/2 fish in 1 1/2 days, how many fish will 6 seals eat in 6 days

Problem of the Week 9-29

Season: 
9
Problem ID Number: 
29
Grade Levels: 
4-6

Kami has three shirts and two pairs of jeans in her closet. She has a pair of white jeans and a pair of blue jeans. The colors of her shirts are blue, pink, and green. 1) Find all the possible outfits Kami can create. 2) What is the probability that she will wear the pink shirt with the blue jeans?

Problem of the Week 9-25

Season: 
9
Problem ID Number: 
25
Grade Levels: 
4-6

Hector wants to run 3 miles around the perimeter of the school. One lap around the school is 2/3 miles. Exactly how many laps does Hector have to run around the perimeter of the school? If Hector can complete one lap in 8 minutes, how long will it take him to run 3 miles? Be sure to show your work and answer each part of the question using a complete sentence.

Problem of the Week 9-21

Season: 
9
Problem ID Number: 
21
Grade Levels: 
4-6

1) What is the ratio of the volume of a right circular cylinder to the volume of one having half the height but the same radius? 2) What is the ratio of the volume of a right circular cylinder to the volume of one having the same height but half the radius? Be sure to show all calculations and answer each question using a complete sentence.

Problem of the Week 9-17

Season: 
9
Problem ID Number: 
17
Grade Levels: 
4-6

Carl paid $23.60 for an item that had been reduced 20%. 1) What was the original price? 2) If the original price had been reduced 25%, what would be the sale price? Show all steps and answer each question using a complete sentence.

©2009 Math On Call

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