- 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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- Account Balances - Suzanne Alejandre
Pre-Algebra, difficulty level 3. Will Tarak's and Nicholas's bank balances ever be exactly the same?
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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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- 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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- 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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- 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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- Balancing Mobiles - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Explore two Laws of Archimedes as you puzzle through a balanced mobile.
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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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- The Big Picture! - Judy Ann Brown
Pre-Algebra, difficulty level 3. A picture is enlarged to four times its area.
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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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- Bowl-O-Rama! - Steve Risberg
Algebra, difficulty level 1. Given information about the number of games two people bowled and how
much each paid, determine the cost of bowling at Bowl-O-Rama.
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- Boxes of Cereal - Steve Weimar
Algebra, difficulty level 2. Lily and Mikey consume their boxes of cereal at different rates. Use
the hints to determine how much cereal is in each child's box.
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- Boxes of Stationery - Annie Fetter, Suzanne Alejandre
Pre-Algebra, difficulty level 3. How many sheets of paper and how many envelopes are in the box of stationery?
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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 Fences - Judy Ann Brown
Pre-Algebra, difficulty level 3. Plan a garden so as to maximize the area surrounded by a 36-yard fence.
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- Buried Treasure - Steve Risberg
Algebra, difficulty level 3. The pirate Algebeard has drawn an unusual treasure map. Can you
determine where his treasure is buried?
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- California Dreaming - Judy Ann Brown
Math Fundamentals, difficulty level 3. Determine the length of time that will be needed to drive from Allentown, Pennsylvania, to Los Angeles, California.
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- Caliyah's Cart - Lillian Ray
Pre-Algebra, difficulty level 4. How many items did Caliyah decide to buy at the store?
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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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- Capture the Flag! - Steve Risberg
Algebra, difficulty level 4. Help the Algebra and Geometry classes at Mathland High find the
equation of a perpendicular bisector to fairly divide the woods for
their game of Capture the Flag.
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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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- Car Rental Quandary - Judy Ann Brown
Pre-Algebra, difficulty level 3. Compare the car rental deals using the given information.
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- Center Coordinates - Leigh Nataro
Trig/Calc, difficulty level 2. Find the coordinates of the center of a circle circumscribed around a triangle.
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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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- Choosing Charity - Steve Risberg
Algebra, difficulty level 2. A company donates to a relief fund by giving a certain amount plus an
additional amount for each employee who decides to donate. Given two
data points, find the linear equation that defines the company's part
of the total
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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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- Club Competition - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Determine how many teams the Fibonacci Middle School Math Club can enter in their first competition.
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- Coin Count - Roya Salehi and Judy Ann Brown
Pre-Algebra, difficulty level 3. Use the given information to determine the number of nickels and dimes in Lisa's bank.
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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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- Crossed Wires - Steve Risberg
Algebra, difficulty level 3. Guy wires support two poles of different heights. Find the height of
their intersection and explore what happens as the distance between
the poles changes.
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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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- A Deviation from the Average - Leigh Nataro
Trig/Calc, difficulty level 2. Create some data sets with a specific mean and standard deviation.
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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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- Dinner at Pepe's - Steve Risberg
Algebra, difficulty level 1. Three friends share a pizza and sodas. Given information about the
portion of the bill each one paid, determine the total cost of
the meal.
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- Dishwasher Discounts - Pat Hagan
Pre-Algebra, difficulty level 2. Purchasing a new dishwasher can involve a lot of math. Help find the best deal.
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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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- 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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- Dot.com Derby - Terry Trotter
Algebra, difficulty level 2. Three "dots" run a race around a circular track in an unusual manner. You must determine the winners in two categories.
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- Driving to Work - Annie Fetter
Algebra, difficulty level 2. Tracey drives to work at 40 mph and is 1 minute late. If she leaves at the same time and drives 45 mph, she'll be 1 minute early. How far does Tracey live from work?
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- Ducky Promenade - Leon Roland & class (poetry by Annie Fetter)
Pre-Algebra, difficulty level 3. Find the weight of a duckling and two ducks after reading this poem.
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- Duke is Missing - Judy Ann Brown
Pre-Algebra, difficulty level 3. Duke's head is 6 inches long, his tail is as long as his head plus half the length of his body, and his body is as long as the head and tail combined. How long is Duke?
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- Escalation - Melissa Kennedy
Algebra, difficulty level 2. A rate, time, distance problem that involves finding the number of steps on an escalator.
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- Examining an Equation - Steve Risberg
Algebra, difficulty level 2. Find integer solutions to an equation in two variables.
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- Explaining a Number Trick - Annie Fetter
Algebra, difficulty level 1. Use a variable to explain how this number trick works.
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- Fastball or Curveball? - Leigh Nataro
Discrete Math, difficulty level 4. Using game theory, find the percentage of time a batter should guess a fastball will be thrown, and calculate the associated batting average.
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