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One this page you can find National Math Trail problems that involve a specific topic of the mathematics curriculum. Please allow time for the page to load completely. Then, select a mathematics topic and subtopic and click "Go!" to see, below, a listing of related National Math Trail problems. Note:
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| Place your mouse over the name of the institution, or the problem, to see more information. The "standard" column presents a specific mathematics concept or skill that is required to solve the problem. |
| Institution | Problem title | Standard |
| Berry Middle School and Simmons Middle School | AmSouth – Sonat Building: Flagpole | Can use proportional reasoning to solve problems |
| Berry Middle School and Simmons Middle School | AmSouth – Sonat Building: Plaza | Can multiply and divide integers |
| Berry Middle School and Simmons Middle School | AmSouth – Sonat Building: Plaza | Can measure lengths |
| Berry Middle School and Simmons Middle School | AmSouth – Sonat Building: Plaza | Can determine the area of a rectangle by computation |
| Berry Middle School and Simmons Middle School | AmSouth – Sonat Building: Plaza | Can multiply and divide decimal numbers |
| Berry Middle School and Simmons Middle School | AmSouth – Sonat Building: Plaza | Understands the concept "percent" |
| Berry Middle School and Simmons Middle School | AmSouth – Sonat Building: Plaza | Can solve problems of the form x% of a = b when any two of the factors are known. |
| Berry Middle School and Simmons Middle School | McDonald’s Millionaires | Can multiply fractions |
| Berry Middle School and Simmons Middle School | McDonald’s Millionaires | Can calculate probabilities of combinations of events where the probabilities of the single events are known |
| Berry Middle School and Simmons Middle School | SouthTrust Tower | Can specify defining characteristics of common polygons |
| Berry Middle School and Simmons Middle School | City News: Free Newspaper | Can find and express the theoretical probability of an outcome based on analysis of all possible outcomes |
| Berry Middle School and Simmons Middle School | City News: Free Newspaper | Can reduce a fraction to lowest terms |
| Berry Middle School and Simmons Middle School | City News: 35 cents | Can use tree diagrams, tables, grids etc. to show all possible outcomes in a probability situation |
| Berry Middle School and Simmons Middle School | Cashing In at Heritage Bank | Can solve a proportion for an unknown |
| Berry Middle School and Simmons Middle School | Cashing In at Heritage Bank | Understands the concept "percent" |
| Berry Middle School and Simmons Middle School | Cashing In at Heritage Bank | Can solve problems of the form x% of a = b when any two of the factors are known. |
| Garden Lakes Elementary School | Temperature | Can add and subtract whole numbers with renaming. |
| Garden Lakes Elementary School | Graphing Penny Hardaway's points | Can represent and interpret numerical data in chart and graph form |
| Garden Lakes Elementary School | How many ways? | Can use tree diagrams, tables, grids etc. to show all possible outcomes in a probability situation |
| Garden Lakes Elementary School | Graphing Jason Kidd's points | Can represent and interpret numerical data in chart and graph form |
| Garden Lakes Elementary School | How many ways? | Can use tree diagrams, tables, grids etc. to show all possible outcomes in a probability situation |
| Garden Lakes Elementary School | D-backs graph | Can represent and interpret numerical data in chart and graph form |
| Garden Lakes Elementary School | How far? | Can measure lengths |
| Garden Lakes Elementary School | How many students? | Understands the concept "estimate" |
| Mary B. Perry High School | Catching up | Can solve a one-variable linear equation |
| Mary B. Perry High School | Earning money | Understands the concept "percent" |
| Mary B. Perry High School | Earning money | Can solve problems of the form x% of a = b when any two of the factors are known. |
| Mary B. Perry High School | Earning money | Can multiply and divide decimal numbers |
| Mary B. Perry High School | Laps | Can solve a one-variable linear equation |
| Mary B. Perry High School | Life guard training | Can solve complex, multi-step problems |
| Mary B. Perry High School | Life guard training | Understands the concept "percent" |
| Mary B. Perry High School | Life guard training | Can solve problems of the form x% of a = b when any two of the factors are known. |
| Ventura California Youth Authority | For baseball lovers | Can solve complex, multi-step problems |
| Ventura California Youth Authority | Movie time | Understands the concept "percent" |
| Ventura California Youth Authority | Movie time | Can solve problems of the form x% of a = b when any two of the factors are known. |
| Nevin Platt Middle School | First Methodist Church | Can identify/describe common polygons |
| Nevin Platt Middle School | St. John's Episcopal Church | Can identify/describe common polygons |
| Nevin Platt Middle School | Street signs | Can identify/describe common polygons |
| Nevin Platt Middle School | Sacred Heart of Jesus Church | Understands the concept "degree" |
| Nevin Platt Middle School | Sacred Heart of Jesus Church | Knows that a circle contains 360 degrees |
| Nevin Platt Middle School | Boulder First Church | Can compute the area of a triangle |
| Nevin Platt Middle School | Trinity Lutheran Church | Understands the concepts "tiling" and "tesselation" |
| Nevin Platt Middle School | Masonic Lodge | Can find the perimeter of a polygon given lengths of the sides |
| Nevin Platt Middle School | First Congregational Church | Understands the concepts "tiling" and "tesselation" |
| Nevin Platt Middle School | Speed limit sign | Can identify/describe common polygons |
| Nevin Platt Middle School | Parking garage | Can identify/describe common polygons |
| Nevin Platt Middle School | Parking garage | Understands the concept of "congruence" |
| Nevin Platt Middle School | DAILY CAMERA building | Can estimate the linear dimensions of an object with reasonable accuracy |
| Nevin Platt Middle School | Address numbers | Understands the concepts of "even numbers” and “odd numbers” Counting Numbers and Integers Counting Numbers and IntegersPatterns and Kinds of Numbers |
| Nevin Platt Middle School | Tinkerbell and the clock | Understands and can apply the formulas "circumference = pi*diameter" and "circumference = 2*pi*radius" |
| Nevin Platt Middle School | Clock numerals | Can multiply and divide integers |
| Nevin Platt Middle School | Clock numerals | Understands the concept "percent" |
| Nevin Platt Middle School | Clock numerals | Can solve problems of the form x% of a = b when any two of the factors are known. |
| Nevin Platt Middle School | Clock hands | Can identify and create right, acute and obtuse angles |
| Nevin Platt Middle School | Parking meters | Can solve complex, multi-step problems |
| Nevin Platt Middle School | Yield sign | Can compute the area of a triangle |
| Nevin Platt Middle School | Yield sign | Understands the concept "percent" |
| Nevin Platt Middle School | Yield sign | Can solve problems of the form x% of a = b when any two of the factors are known. |
| Nevin Platt Middle School | Bridge | Can measure lengths |
| Nevin Platt Middle School | Staying dry | Can determine the area of a rectangle by computation |
| Nevin Platt Middle School | Bus shelter bricks | Can identify/describe common polygons |
| Nevin Platt Middle School | Bus shelter bricks | Understands the concepts "tiling" and "tesselation" |
| Nevin Platt Middle School | Library window | Understands the concepts "tiling" and "tesselation" |
| Nevin Platt Middle School | Handrail | Can identify and create right, acute and obtuse angles |
| Nevin Platt Middle School | Benches | Can multiply multi-digit numbers |
| Nevin Platt Middle School | Trash cans | Can find the volume of a cylinder |
| Nevin Platt Middle School | Library bridge | Can measure lengths |
| Nevin Platt Middle School | The side railings of the bridge are composed of many little squares. About how many squares are there in all? | Can multiply multi-digit numbers |
| Nevin Platt Middle School | Parking lot on Canyon Blvd | Can multiply multi-digit numbers |
| Nevin Platt Middle School | Pedestrian Crossing sign | Can determine the area of a rectangle by computation |
| Nevin Platt Middle School | Oasis Restaurant | Can find the volume of a cylinder |
| Nevin Platt Middle School | Walnut Brewery | Understands the concept "scale" |
| Nevin Platt Middle School | Address numbers | Can identify and describe patterns in a collection of related numerical data. |
| Nevin Platt Middle School | Pearl Street and Broadway | Can find the volume of a cylinder |
| Nevin Platt Middle School | Ice cream store | Can compute the volume and surface area of a sphere |
| Nevin Platt Middle School | Lady on the swing statue | Can measure lengths |
| Nevin Platt Middle School | Lady on the swing statue | Can compute the volume and surface area of a rectangular prism |
| Nevin Platt Middle School | Kiosk with notices | Understands the concept "area" |
| Nevin Platt Middle School | Kiosk with notices | Can evaluate whether an answer to a problem is sensible in the context of the problem |
| Nevin Platt Middle School | Boulderado Hotel | Can estimate the linear dimensions of an object with reasonable accuracy |
| Double Churches Elementary School | Lines of symmetry | Understands the concept "symmetry" with respect to shapes |
| Double Churches Elementary School | The kindergarten wing | Can count to 100 |
| Double Churches Elementary School | Plaques | Understands the concept "area" |
| Double Churches Elementary School | Plaques | Can measure lengths |
| Double Churches Elementary School | Plaques | Can find the perimeter of a polygon given lengths of the sides |
| Double Churches Elementary School | Paw prints | Can use proportional reasoning to solve problems |
| Double Churches Elementary School | Partners-in-Education | Understands and can apply the formulas "circumference = pi*diameter" and "circumference = 2*pi*radius" |
| Double Churches Elementary School | Lunch time | Can perform binary operations with decimal numbers. |
| Double Churches Elementary School | Time for angles | Can identify and create right, acute and obtuse angles |
| Double Churches Elementary School | Time for angles | Knows that a circle contains 360 degrees |
| Double Churches Elementary School | The bulletin board | Understands the concept "unit" |
| Double Churches Elementary School | The bulletin board | Can convert between metric and English length units |
| Double Churches Elementary School | The bulletin board | Knows the different English units of length and area measurement. |
| Double Churches Elementary School | Flags and fractions | Can explain what the denominator of a fraction shows (how many equal parts a whole is separated into) and what the numerator shows (how many of the equal parts are in the fraction) |
| Double Churches Elementary School | License for algebra | Can use principles of commutativity and associativity when adding and multiplying numbers. |
| Double Churches Elementary School | License for algebra | Can simplify expressions using correct order of operations |
| n/a | Clayton County Statistics | Can do a scatterplot of data |
| n/a | Clayton County Statistics | Can determine the equation of a linear function that closely matches a set of points |
| n/a | Gazebo | Can determine the area of a rectangle by computation |
| n/a | Gazebo | Can perform binary operations with decimal numbers. |
| n/a | Keystone Arch Bridge | Understands the concepts "radius" and "diameter" |
| n/a | Central State Bank | Can solve problems of the form x% of a = b when any two of the factors are known. |
| n/a | Old Theater Building | Can find the volume of a rectangular prism by computation |
| n/a | Elkader Public Library | Can measure lengths |
| n/a | Elkader Public Library | Understands the concept "area" |
| n/a | Elkader Public Library | Understands the concept "slope" |
| n/a | Moser Family Pharmacy | Can compute the area of a trapezoid |
| n/a | Voss Realty | Can use percents to describe real world situations |
| n/a | Elkader General Store | Can do a scatterplot of data |
| n/a | Elkader General Store | Can determine the equation of a linear function that closely matches a set of points |
| n/a | St. Joseph Catholic Church | Understands the concept "slope" |
| South Hamilton Community Schools | Comparing prices | Can represent and interpret numerical data in chart and graph form |
| Riley School | Affordable housing | Can solve problems of the form x% of a = b when any two of the factors are known. |
| Riley School | The School Report Card | Can represent and interpret numerical data in chart and graph form |
| Riley School | The School Report Card | Can solve problems of the form x% of a = b when any two of the factors are known. |
| Riley School | The School Report Card | Can perform binary operations with whole numbers. |
| Riley School | Logic Problems | Can apply the strategy "use a chart or table" |
| Orono High School | Various problems | Can translate a real-world problem into a one variable linear equation |
| Western Elementary | Riding the rails | Understands the concept "divide" |
| Western Elementary | How old is the town? | Understands the concept "divide" |
| Western Elementary | Interest | Can solve problems of the form x% of a = b when any two of the factors are known. |
| Western Elementary | High bid | Can read and write decimal numbers |
| Western Elementary | A lot of flour | Understands the concept "divide" |
| Upton Elementary | Since 1812 | Can add and subtract whole numbers with renaming. |
| Upton Elementary | Christmas long ago | Can add and subtract whole numbers with renaming. |
| Upton Elementary | Shadow Pie | Can add and subtract whole numbers with renaming. |
| Upton Elementary | The price of eggs | Can add and subtract whole numbers with renaming. |
| Upton Elementary | The price of land | Can add and subtract whole numbers with renaming. |
| Upton Elementary | The price of land | Can use proportional reasoning to solve problems |
| Upton Elementary | The Baptist Church | Can determine the area of a rectangle by computation |
| Upton Elementary | The Baptist Church | Can divide multi-digit numbers by multi-digit numbers |
| North Brookfield Elementary School | The house on 263 N. Main St. | Can determine the area of a rectangle by computation |
| North Brookfield Elementary School | The house on 263 N. Main St. | Can multiply and divide decimal numbers |
| North Brookfield Elementary School | Long View Farm Recording Studio | Can use proportional reasoning to solve problems |
| North Brookfield Elementary School | New England Patriots | Can determine the area of a rectangle by computation |
| North Brookfield Elementary School | Hanson Dairy Farm: Acres | Understands the concepts "add" and "subtract" |
| North Brookfield Elementary School | Hanson Dairy Farm: Jaws | Can multiply multi-digit numbers |
| North Brookfield Elementary School | Hanson Dairy Farm: Water | Can multiply multi-digit numbers |
| North Brookfield Elementary School | Quaboag Corporation: Rubber sales | Can select the appropriate operation to find an answer to a simple word problem. |
| North Brookfield Elementary School | Quaboag Corporation: Splitting the profits | Understands the concept "divide" |
| North Brookfield Elementary School | Quabbin Reservoir | Can divide multi-digit numbers by multi-digit numbers |
| North Brookfield Elementary School | Roger Williams Zoo | Can evaluate expressions by substituting values for variables |
| North Brookfield Elementary School | North Brookfield Town Library: Books | Can select the appropriate operation to find an answer to a simple word problem. |
| North Brookfield Elementary School | North Brookfield Town Library: Restoration | Can solve complex, multi-step problems |
| North Brookfield Elementary School | North Brookfield Town Library: Restoration | Can multiply and divide decimal numbers |
| North Brookfield Elementary School | Traveling around the Wachusett Mountain Ski Area | Can solve complex, multi-step problems |
| North Brookfield Elementary School | The cost of skiing | Can solve complex, multi-step problems |
| North Brookfield Elementary School | A New Jr./Sr. High School: Books | Can solve complex, multi-step problems |
| North Brookfield Elementary School | A New Jr./Sr. High School: Feet to Inches | Knows the names of common units for measurement of length and (roughly) their relative sizes, and can convert between them |
| North Brookfield Elementary School | A New Jr./Sr. High School: Windows | Can solve complex, multi-step problems |
| North Brookfield Elementary School | A New Jr./Sr. High School: Taxes | Can solve problems of the form x% of a = b when any two of the factors are known. |