- Partners in Pizza - Terry Trotter
Algebra, difficulty level 2. Three friends share the cost of a pizza. How much does each contribute?
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- Payment in Kind - Lisa Lavelle (adapted)
Elementary, difficulty level 3. Determine the spouses of three kind women based on the details of their inheritance.
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- Peanuts and Cashews - Terry Trotter
Algebra, difficulty level 1. Find the proper mixture of nuts that have a certain price rate to be sold in the nut store.
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- Peeling Potatoes - Terry Trotter
Pre-algebra, difficulty level 2. How many potatoes did Annie and Steve have to peel?
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- Penguin Fun - Bob Coulter
Elementary, difficulty level 2. Three penguins go to an amusement park. Can they all take the same ride?
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- Phone-O-Graph Phollies - Bill Graham
Algebra, difficulty level 2. Students are asked to use algebra to compare three telephone calling plans to determine at what number of calls each plan would be preferable.
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- A Phone-y Deal? - Steve Risberg
Algebra, difficulty level 2. Compare two cell phone pricing plans to determine for how many minutes
of calls per month each one is the better deal.
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- Pi Day Treats - Judy Ann Brown
Pre-algebra, difficulty level 3. Help Mrs. Granville and Mrs. Germain plan a Pi Day celebration.
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- Pressed for Time - Steve Risberg
Algebra, difficulty level 2. Due to a late breaking story, a newspaper must use both presses to get
an edition printed in time. Find how long it takes to print a normal
edition using only the newer press.
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- The Price of Pollo - Terry Trotter
Algebra, difficulty level 2. Use a linear equation model to predict a future price of fried chicken.
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- Product Max - Leigh Nataro
Trig/Calc, difficulty level 2. Find the maximum value for two numbers whose sum is a.
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- The Professors' Primes - Terry Trotter
Algebra, difficulty level 2. Find the product of three prime numbers that three professors pick.
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- Profits and Lots - Terry Trotter
Algebra, difficulty level 1. A person buys some land, keeps some for himself, divides the rest into lots, and sells them, thus making a profit.
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- Proofs Without Words I - Annie Fetter
Geometry, difficulty level 2. Explain how these pictures and algebraic expressions are related. Draw your own picture that illustrates an algebraic concept.
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- Proofs Without Words II - Annie Fetter
Geometry, difficulty level 2. Based on a simple example that illustrates the distributive property, explain what the second picture illustrates.
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- Pythagoras and Y2K - Terry Trotter
Algebra, difficulty level 4. Find Pythagorean triples for which this special year, Y2K (2000), is one of the three numbers in the triple.
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- Reverse It! - Annie Fetter Steve Risberg
Algebra, difficulty level 1. Find a two-digit number such that when you reverse the digits and add
the new number to the original one, the sum is 154.
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- A Rhyming Riddle - John Allard, Carlton Shedrick, Donnie Sartwell
Trig/Calc, difficulty level 3. Find the solutions for x and y in an exponential equation.
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- Romance by Rowboat - Terry Trotter
Algebra, difficulty level 1. Romance on the river motivates a nice upstream-downstream sort of problem.
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- Sam and Teri Revisited - Terry Trotter
Algebra, difficulty level 3. A bank account deposit-withdrawal problem with a difference.
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- Sam and Teri's Bank Accounts - Terry Trotter
Algebra, difficulty level 1. Sam and Teri have bank accounts. Sam always withdraws money; Teri always saves it. When will they have equal balances, or will they?
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- School Spirit - Steve Risberg
Algebra, difficulty level 4. A company makes jackets that show support for your school. Given
information on the time needed to make each of two models and the
profit earned for selling them, determine how many of each the company
should make each
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- Seating Arrangements - Judy Ann Brown
Pre-algebra, difficulty level 3. Four new students arrive in Mrs. Brown's homeroom. After a few minutes she turns to them and says, "There are 1680 ways
that you can sit in the empty seats." How many empty seats are there in the room?
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- Seven Congruent Rectangles - Annie Fetter
Geometry, difficulty level 2. Seven congruent rectangles are arranged to form a larger rectangle. If the area of the large rectangle is 336 units^2, what's the perimeter of the large rectangle?
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- Shanell's Holiday Treats - Terry Trotter
Algebra, difficulty level 3. Given some data about purchasing fancy nuts for cooking, find the total cost of buying one pound of each type.
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- Shapes Rock - Judy Ann Brown
Pre-algebra, difficulty level 3. Find the number of diagonals in a polygon of 40 sides.
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- Sharing Birthday Cake - Ian Underwood
Pre-algebra, difficulty level 2. Ian and his father have the same birthday, and share a cake based on the ratio of their ages. Determine when Ian will get certain amounts of cake.
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- Ships Ahoy! - Terry Trotter
Algebra, difficulty level 1. One-third of a fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-seventh of the surviving ships were later lost in a storm. The 24 remaining ships sailed home. How many ships were there before
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- Skeeball Showdown - Steve Risberg
Algebra, difficulty level 3. Kira and Daquan each play a game of Skeeball to see who gets the
higher score. Given descriptions of their results in relation to each
other, determine the final score of their match and how many balls
each player rolled.
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- A Space Diagonal - Terry Trotter, MATHCOUNTS
Algebra, difficulty level 2. Find the space diagonal of a certain cube in a sequence of cubes.
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- The Spider and the Fly - J. A. H. Hunter
Algebra, difficulty level 2. A spider presents a challenge to a fly: solve a math problem and escape!
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- Splitting a Square - Terry Trotter
Algebra, difficulty level 3. A square is drawn on a coordinate plane with vertices P(1, 0), Q(2, 0), R(2, 1) and S(1, 1). A line is drawn from the origin that cuts the square into two sections whose areas are in a ratio of 2:1. What's the equation
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- Spring Garden Planning - Judy Ann Brown
Pre-algebra, difficulty level 4. Find the area as well as the length and width of my fractional garden.
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- A Stellar Garden - Bill Marthinsen
Pre-algebra, difficulty level 3. Martha Stewart wants to rebuild her ugly garden. She needs help calculating the areas in the new garden.
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- St. George's Banner - Annie Fetter
Geometry, difficulty level 2. Find out how wide the cross on this flag needs to be in order for the red and white regions to have the same area. If the flag is x feet by y feet, how wide is the red stripe?
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- Study Hall Games - Judy Ann Brown
Pre-algebra, difficulty level 4. I polled the students to find out which of the three games in my closet they might like to play. Then I created a math problem using the results of the poll.
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- Studying Stars - Annie Fetter
Geometry, difficulty level 2. Given a number of points spaced around a circle, how many lines does it take to connect each point to all the other points except for the ones next to it?
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- Studying the Standings - Steve Risberg
Algebra, difficulty level 3. Write and solve a system of equations to determine how many points the
Potters have in the World Tiddlywinks League standings.
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- Sums, Quotients, and Remainders - Terry Trotter
Algebra, difficulty level 3. Given the sum of two numbers and information about the quotient and
remainder when they are divided, find the larger number, then
solve the same sort of problem in a general case.
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- Tatianna and the Troll - Terry Trotter, revised
Elementary, difficulty level 3. Tatianna tests the troll... and neither loses nor gains.
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- Taxi! - Steve Risberg
Algebra, difficulty level 1. Taxi fares in Lineville are based on a linear equation. Given the
costs and distances of two rides, find the equation and use it to
answer several questions.
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- Tele-Plus - Terry Trotter
Algebra, difficulty level 1. Find the cost of one phone that is part of a three-in-one communications package deal.
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- Tennis Anyone? - Ethel Breuche
Algebra, difficulty level 1. Use algebra, inequalities, and ratios to find the greatest number of matches a player could have won before the weekend to achieve the win ratio of .503 after the weekend.
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- The Coordinate Carousel - Steve Risberg
Algebra, difficulty level 3. Mrs. Nomial is watching her daughters on the carousel and notices
something interesting. Determine how far away from the edge of the
carousel she is standing.
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- Three-dimensional Television - Mr. Marthinsen's Geometry Class
Pre-algebra, difficulty level 3. Help my friend find which TV will fit snugly into her TV nook.
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- The Three Jelly Bean Jars - Terry Trotter
Algebra, difficulty level 2. Three brothers buy jelly beans. The jelly beans are in jars that are three different sizes. How many jelly beans does each brother buy?
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- Tiffany's Triumphs - Terry Trotter
Algebra, difficulty level 1. Given the number of games that Tiffany has played so far and the number that she has won, how many games would she have to win in a row to get her winning percentage up to 60%?
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- Timber!!! - Lisa and Judy Gardner
Math Fundamentals, difficulty level 3. Determine the lengths of two pieces of a damaged redwood tree.
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- Time Trial Triumphs - Steve Risberg, Terry Trotter, and Annie Fetter
Algebra, difficulty level 2. At 9:05 a.m. Ernesto starts riding at a speed of 440 yards per
minute. At 9:20 a.m. Johnny starts riding, but he's going 20% faster
than his little brother. At what time, to the nearest minute, will
Johnny catch Ernesto?
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- To Grandmother's House We Go - Ethel Breuche
Algebra, difficulty level 4. Red Riding Hood goes to visit Grandmother for the holidays at the same time that Grandmother heads out to visit Red. What is the ratio of their speeds?
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