- A 2-for-1 Lunch - Marsha Hurwitz
Algebra, difficulty level 2. Two boys had lunch on a two-for-one coupon, plus taxes and tips. What was their percent of savings on the transaction?
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- Accounting for Age - Suzanne Alejandre
Pre-Algebra, difficulty level 3. Given a number trick, explain why the result is always the original number followed by your age.
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- 'Ace' Trotter - Terry Trotter
Algebra, difficulty level 1. A problem from the sports world regarding free-throw percentages.
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- Adrienne's Axel - Leslie Hogben
Algebra, difficulty level 2. Adrienne, an algebraically inclined figure skater, figures an interesting problem for us.
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- The Ages of Sigma - Terry Trotter
Algebra, difficulty level 1. Find the ages of the three artists who make up the latest singing sensation: Sigma.
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- All Wet - Linda Benton
Algebra, difficulty level 3. Solve simultaneous equations, find area, and use the Pythagorean theorem and percentages to find the spraying distance needed for a circular sprinkler in a rectangular yard.
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- Alvin's Theorem - Terry Trotter
Algebra, difficulty level 2. Alvin notices that the difference between any two consecutive square
numbers can also be expressed as the sum of consecutive integers.
Can you use algebra to show that this pattern is always true?
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- Ancestors - Steve Risberg
Algebra, difficulty level 2. Find how many ancestors Gene had from various generations going back
in time.
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- Apple Orchard - Steve Risberg
Algebra, difficulty level 2. How many of each kind of apple did the Nomial family pick?
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- Approval Method of Voting - Ethel Breuche
Algebra, difficulty level 3. In the country of Algpoweria, eligible voters can cast their votes for two candidates. Based on the clues given, find how many votes each candidate received and the number of eligible voters.
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- Are We There Yet? - Terry Trotter
Algebra, difficulty level 1. Given what fractions of a car trip have been completed at two different times, can you predict when the trip will end?
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- Are You Positive? - Steve Risberg
Algebra, difficulty level 3. Find all values of x that make a rational expression have a positive value.
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- As the Crow Flies - Terry Trotter
Algebra, difficulty level 1. A percentage of crows sitting on a telephone line leaves, then returns. Find how many crows are present at the end.
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- At Least This Many - Terry Trotter
Algebra, difficulty level 2. Using two data points from the NBA statistics chart, form an equation (y = mx + b style), then use it to predict other data points.
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- An "Average" Problem - Terry Trotter
Algebra, difficulty level 2. Three test grades are removed from a set of scores. You are given the new set's average and a ratio involving the scores removed. What scores have been removed?
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- Baffling Brother - Steve Risberg
Algebra, difficulty level 2. Brandon wows his sister by having her choose a secret number and make
a series of calculations, then telling her what her final answer is.
Can you use variables and algebra to explain how Brandon did it?
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- A Barrel of Fun - Lisa Lavelle
Elementary, difficulty level 3. How much apple juice did the man keep?
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- Battle of the Bands - Terry Trotter
Algebra, difficulty level 3. Students at Rahkenrole High School vote to decide which band should
play at the end-of-year dance. After some students change their
minds about which band to vote for, the result is a tie. Can you
figure out how many
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- Blowin' in the Wind - Steve Weimar Steve Risberg
Algebra, difficulty level 3. A plane flies a round-trip on a calm day and then flies the same trip
on a windy day. How do the flying times compare?
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- Borrowed Books - Teaching the Young Learner Group
Elementary, difficulty level 2. Determine the number of books in the borrowing library created by three friends.
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- The Bouncing Ball - Steve Risberg
Algebra, difficulty level 1. A ball is dropped from 27 feet and bounces back to 2/3 of the height
from which it fell. Find and use a formula to calculate the height of
the nth bounce.
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- Bowling Buddies - Steve Risberg
Algebra, difficulty level 2. Four friends go bowling and have a small contest. From the clues
given about their scores, can you determine who won the contest?
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- The Box Supper - Terry Trotter
Algebra, difficulty level 3. Find the amount of money that Judy Ann's "beau" paid at the box supper auction for her box of delicious food.
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- Bugs Bunny's Money - Terry Trotter
Algebra, difficulty level 2. Find how much Mr. Bugs Bunny is carrying in a money bag, given clues such as the ratio of coins that are pennies and the percentage of coins that are dimes.
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- Building a Bakery - Steve Risberg
Algebra, difficulty level 3. Find the best place to build the bakery so that the delivery miles to the stores are minimized.
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- Building Bouquets - Amanda Knott and the Western Oregon University Mentors
Math Fundamentals, difficulty level 2. Help Jana determine how to divide her extra flowers for the flower shop special.
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- Bull's-eye Probability - Ethel Breuche
Algebra, difficulty level 3. Find the probability of hitting a circular target board closer to the center.
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- Burger Inflation? - Annie Fetter, Terry Trotter, Steve Risberg, and Steve Weimar
Algebra, difficulty level 2. Given the affect of inflation, is a national-chain hamburger cheaper or more costly than it was in 1970?
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- Buying Cola - Leon Roland & class
Pre-Algebra, difficulty level 3. Where should Chuck shop to get the most cola? Is this the best buy?
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- Calendar Calculations - Steve Risberg
Algebra, difficulty level 1. Write variable expressions for dates in a calendar pattern and use your expressions to explore a numeric relationship among those dates.
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- Calling Long Distance - Terry Trotter
Algebra, difficulty level 1. Use simple equations to compare two telephone calling plans.
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- Card Covers - Claire Mead, Annie Fetter
Pre-Algebra, difficulty level 1. Help Ellen, Lora, and Mai determine which purchase will cost them the
least amount of
money.
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- Carlita's CD Collection - Terry Trotter, Steve Risberg
Algebra, difficulty level 2. Carlita describes how many CD's are in her collection in a rather
mathematical way. Can you figure out how many there are?
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- Cherokee Creek Checkers Club - Terry Trotter
Algebra, difficulty level 1. Until one month ago, the Checkers Club had won 40 of 90 matches so far this year. But last
month they won 3 of every 5 games they played. How many games did
they play last month if their overall winning percentage is
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- The Chip Swap Game - Ethel Breuche
Algebra, difficulty level 4. The object of this game is to swap the positions of the different colored chips. Count the number of moves and, as you increase the number of chips, find the general formula.
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- Chirp! Chirp! - Annie Fetter
Pre-Algebra, difficulty level 3. Find the temperature when a cricket chirps a certain number of times a minute.
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- The Christmas Gifts - Terry Trotter
Algebra, difficulty level 2. A grandfather doles out his annual Christmas gifts to his beloved grandchildren in a most unusual way - mathematical, of course.
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- A Coat of Golden Angels - Terry Trotter
Algebra, difficulty level 1. Show how to do scientific notation problems on an 8-digit, four-function calculator.
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- The Continued Fraction - Ethel Breuche
Algebra, difficulty level 4. Find the value of a given continued fraction.
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- Copying Conundrum - Annie Fetter
Algebra, difficulty level 1. Using a copy machine, copy an 8 x 10 inch picture at 80%. Then copy the copy at 80%, and repeat this until you have 5 copies of the original. What's the largest dimension now? What's a formula you could use?
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- Count Your Change - Steve Risberg & Terry Trotter
Algebra, difficulty level 3. I have three times as many nickels as dimes in my pocket. If the
number of coins is reversed, by what percent will the value of the
money in my pocket increase?
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- A Cranberry Craving - Claire Mead, Suzanne Alejandre
Pre-Algebra, difficulty level 2. Use the pattern to find out how many cranberries Carissa ate on
Thanksgiving Thursday.
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- Crossing the River with Ogres - Claire Mead
Math Fundamentals, difficulty level 2. Find out how many times the boat must cross the river to get all the
gnomes and ogres to
the other side.
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- The Custom of Customs - Ethel Breuche
Algebra, difficulty level 2. Two wine merchants enter Paris with their merchandise. They need to pay custom duties. Each pays with francs and with some casks of wine. What is each cask of wine worth and what is the duty on each cask?
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- A Day at the Fairs - Terry Trotter via Kraitchik & Chuquet
Algebra, difficulty level 2. A merchant went selling and buying at three city fairs. Did he make a profit or take a loss?
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- Diego's Building Block - Terry Trotter
Algebra, difficulty level 3. Find the surface area of a rectangular prism, given the volume and information about the dimensions.
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- A Dog, a Hog, and a Frog - Redwood Empire Mathematics Tournament
Algebra, difficulty level 2. Three animal friends want to cross a big swamp. How wide is that swamp?
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- Dollar Dealing - Suzanne Alejandre and Lillian Ray
Pre-Algebra, difficulty level 2. How much money did Hector and Larissa each have?
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- Donald Duck's Trip - Terry Trotter
Algebra, difficulty level 2. What fractional part of Donald's trip had he traveled by 4:00 P.M.?
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- Don't Be Square - Ethel Breuche
Algebra, difficulty level 1. Use pattern recognition and square roots to find the sum of two numbers.
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