Problems of the Week Blog

Free Scenario: Filling Glasses #wcydwt

Annie — Mon, 29 Apr 2013 16:00:31 +0000

Filling Glasses

Free Scenario: Charlie’s Gumballs #wcydwt

Max — Mon, 22 Apr 2013 16:00:38 +0000

Charlie’s Gumballs

Free Scenario: Subway Tokens #wcydwt

Annie — Mon, 15 Apr 2013 16:00:06 +0000

Subway Tokens

Samantha purchased subway tokens from a machine. The instructions said that, for any amount of money you insert, you would receive the maximum number of tokens your money can purchase, along with your change.

Samantha put a $20 bill into the machine. She received 12 tokens and $2.60 in change.

Free Scenario: Which is the Dominant Team? #wcydwt

Annie — Mon, 08 Apr 2013 16:00:27 +0000

Which is the Dominant Team?

There are eight teams in the Northern New Jersey High School Soccer League. Here are the recent results:

Eastside beat Clifton, Montclair, Nutley, and Kennedy High Schools.
Montclair beat Nutley.
Bloomfield beat Don Bosco, Clifton, Eastside, Nutley, Kennedy, and Montclair.
Hackensack beat Bloomfield, Don Bosco, Eastside, Clifton, Montclair, and Kennedy.
Nutley beat Hackensack.
Don Bosco beat Eastside, Nutley, Clifton, Kennedy, and Montclair.
Clifton beat Kennedy, Nutley, and Montclair.

Free Scenario: Val’s Values #wcydwt

Annie — Mon, 01 Apr 2013 16:00:54 +0000

Val’s Values

Free Scenario: Capture the Flag! #wcydwt

Annie — Mon, 25 Mar 2013 16:00:56 +0000

Capture the Flag!

The Algebra and Geometry classes at Mathland Hgh School are planning to play a game of Capture the Flag in the woods behind the school. They’ve been discussing how to fairly divide the woods into two territories.

They’ve drawn a map of the woods and added a coordinate plane. The Algebra class will put their base at (-8, 15). The Geometry class will put their base at (4, -3).

Free Scenario: Growing Up #wcydwt

Annie — Mon, 18 Mar 2013 16:00:21 +0000

Growing Up

I am 3 feet tall.

My dad is 6 feet tall.

Free Scenario: Choosing Charity #wcydwt

Annie — Mon, 11 Mar 2013 16:00:31 +0000

Choosing Charity

In the wake of the recent tsunami, a company decided to donate to a disaster relief fund. The company started by pledging a certain amount of money.

To encourage their 60 employees to make individual contributions, the company pledge to also donate an additional fixed amount for each employee who made a personal donation to the fund.

The company treasurer determined that if one-third of the employees chose to make a donation, the company’s part of the total donation would be $7000. If 50% of the employees donated, the company’s part of the total donation would be $7750.

Free Scenario: Pooling Tips #wcydwt

Annie — Mon, 04 Mar 2013 16:00:42 +0000

Pooling Tips

Ethan, Fran, and Gloria have summer jobs at the local Dairy Freeze. They collect their own tips and then share them equally. One week Ethan collected $25 in tips, Fran collected $48, and Gloria collected $41.

Hey @MoMath1! We’ve Got Enneagons!

Annie — Wed, 27 Feb 2013 16:06:22 +0000

During the February 26th MoMath Masters Tournament, @MoMath1 tweeted, “No googling – how many sides on an enneagon?” We thought, “Hey! We know enneagons!” If you don’t, maybe this scenario from a problem we first used in 1998 will give you some hints (as well as some ideas for something you could do with one).

Extending the Enneagon

Extend the sides AB and ED of the regular enneagon ABCDEFGHI until they intersect.