Strategy Use
Problems #1
Eliminate Possibilities
Problems #2
Unrelated Trivia
100

Mrs. Ralls hired Cinnamon, Rickell, Jeannette, and Kari to clean her garage. They each worked 6 1⁄4 hours, except Jeannette, who started early and worked 7 1⁄2 hours. They were paid a total of $126. Each worker will be paid at the same rate. How much should each person get?

What is Analyze units?

100

Elaine, Leisa, Brittney, and Consuelo each have a hobby: model railroading, building model airplanes, rocketry, or raising tropical fish. Match each woman to her hobby by using the clues below.
1. Leisa has never met the person who does rocketry.
2. Elaine is a pilot and, ironically, has a hobby that has nothing to do with aeronautics.
3. The rocketry hobbyist, the railroader, and Brittney are friends.
4. Leisa’s hobby involves public transportation

Leisa, model airplanes

Elaine, model railroading

Consuelo, rocketry

Brittney, tropical fish


100

Miss Von Thaden tried very hard to make sure that nobody was left out during the PE classes in which her students danced. She thought she had a correct head count, so she told them to pair up. This didn’t work because there was one person left out. She then told them to get into groups of five, but this didn’t work either because again there was one person left over. So she tried setting up groups of three, but unfortunately there was one left over. Finally, she decided to try groups of four. Again there was one person left out. There are fewer than 80 students in the dance class. How many were present on that particular day?

What is 61 students?

100

If Kenny can limp at a speed of 2 miles per hour, how many seconds does it take him to get from the theatre to the V-building, a distance of 140 yards? (Round your answer to the nearest one-hundredth of a second.) (1 mile= 5280 feet) (3 feet = 1 yard)

What is 143.18 seconds?

100

What is the most popular lucky number?

7

200

Amaya, Ostergard, Blue Cloud, and Katricz are the last names of Timothy, Diana, Mack, and Sherry. They are all playing in a mixed doubles tennis tournament. Two people are on each team. There is one man and one woman on each team. Determine the full name of each player by using the clues below.
1. Mack is a better player than Ostergard.
2. Timothy is Diana’s partner.
3. Sherry and Katricz are on the same team.
4. Amaya is known for his wicked serve.
5. Katricz is an opponent of Ostergard.
6. Blue Cloud is an opponent of Amaya

What is Matrix Logic?

200

The corner convenience store sells candy in 20¢, 30¢, and 50¢ packages. List all the ways in which Waylon can spend exactly $3.00 on candy.

What is 21 ways?
200

Rick was counting his collection of bottle caps. He started organizing them in piles. He put all of the bottle caps in piles of four, but found that there was one left over. Then he put them in piles of five and found that there were two left over. Then he put them in piles of seven, and found that there was one left over. Finally he put them in piles of three, and there weren’t any left over. He has less than 100 bottle caps. How many bottle caps does Rick have?

What is 57 bottle caps?
200

A manuscript page generally has about 500 words on it. If you read a manuscript page in 1 minute 24 seconds, what is your reading rate in words per minute? What is the number of pages you read per hour?

357 words per min; 43 pages per hour

200

What letter does every odd number have in it?

E

300

Millie was always buying things through the mail. Well, at least sometimes Millie bought things through the mail. Okay, actually, once she bought something through the mail from the Fishing in the West catalog as a present for her granddaughter. The order arrived in January, and so did five other catalogs, apparently spawned from the mailing list of the first one. If every new catalog sells its mailing list to five other companies, and it takes a month for the new company to deliver a catalog and sell the mailing list, how many catalogs total will Millie receive by the end of the year?

What is Look for a Pattern?

300

A home supplies manufacturer sells its products through household parties. Out of each party held, a skilled salesperson can develop 3 new parties for the next week. If a salesperson starts with 2 parties held the first week, how long will it take before she has held more than 300 parties?

6 weeks (728 parties)


300

Rob was looking at his collection of band concert programs, from all the band concerts that he has ever been in. There were less than 100 programs altogether. He started organizing the programs into piles. He put all the programs into piles of 4, but found there were three left over. So then he put them in piles of 5, and again found there were 3 left over. Next he tried putting them into piles of 7, and this time found there were 6 left over. Finally he put them into piles of 3, and this time there were 2 left over. So he gave up and stuck them back in the drawer where he found them. How many programs does Rob have?

What is 83 programs?

300

Janae was vacuuming the narrow hallway in her house. She went 5 feet forwards in the first 4 seconds, then went 3 feet backwards in the next 4 seconds. She continued to do this, forwards 5 feet in 4 seconds and backwards 3 feet in 4 seconds. If she continues in this way, how many seconds will it take her to reach the end of her hallway, which is 15 feet long?

What is 44 seconds?

300

Who invented paint by number?

Leonardo Da Vinci

400

Rory shopped for souvenirs at Pebble Beach. He had $75 to spend. He could choose between the following items. A Pebble Beach golf towel costs $25, a Pebble Beach golf hat costs $15, and a Pebble Beach golf ball costs $5. In how many ways could he spend all $75 on some combination of towels, hats, and balls? He does not have to buy every item, he can buy just 5 golf hats for example. He does have to spend all $75.

What is a Systematic List

400

The top students (Velma, Matt, Ginny, and Clyde) in four courses (English, computers, physics, and mathematics) at Des Moines High were honored at a pre-graduation ceremony. Match each student’s first name, last name, and course.
1. The girl who won in computers was also a runner-up in English.
2. Sholseth moved to Des Moines eight months ago and couldn’t get into the computer class because it was full.
3. Both Sholseth and Clyde were in the same math class with the top math student.
4. The top English student, the one named Kinsella, and Ginny have lived in Des Moines all their lives.
5. The boy who won the honors in math barely beat out Macomber. Both boys were runners-up in computers.
6. Perata knew she was close for math honors.

Matt Kinsella, math
Ginny Perata, computers
Clyde Macomber, English
Velma Sholseth, physics


400

The cube root of 68,921 is an integer. Without using a calculator, determine what that integer is by eliminating possibilities.

What is 41?

400

Orie was too excited about his new toy to sit still. He came to the lunch table, ate 1⁄6 of his macaroni and cheese, then left to play with his new toy, came back, ate 1⁄7 of what was left, ran and played, came back, ate 1⁄8 of what was left, and so on. After ten episodes of eating then playing, how much of his original macaroni and cheese was left?

What is a third of the mac and cheese left?

400

How many equal sides do Icosahedrons have?

20

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