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Elementary
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Washington,
DC Math Trail
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Intermediate/Advanced
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Library of Congress
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This chart shows that about $150,000 has been raised.
If it took 3 months to do that, when do you think they will reach their goal?
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Library of Congress
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If the designs around the arch are each 6 inches wide, and the arch is a semicircle, what is its diameter?
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Library of Congress
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Name as many examples of symmetry as you can.
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Union Station
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If this is an exact scale model, and a real car of the same
type as in the picture is 12 feet long, how could you find out how far apart the ties are on a real railroad track?
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Union Station
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If you arrive at the train station some time between 8 pm and 11 pm, what is the probability that you can catch a train to New York without waiting more than 15 minutes?
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Union Station
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What fraction of these tables are purple?
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Union Station
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Suppose you wanted to put all of the pretzels into one big jar of the same height as these?
If these jars have a diameter of 8 inches, what diameter should the big jar have to hold twice as many pretzels?
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Metro Station
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Suppose you want to have enough nickels, dimes and quarters in your pocket so that you can pay the exact fare for tickets of these values: $1.25, $1.35, $1.40, $1.85, $2.05.
What’s the smallest number of coins you could carry?
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Civil War Statue
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Suppose that the spokes on the wheels of a cannon like these were about 2 feet long.
How many times would the wheels have to go around if the cannon is rolled for 50 miles?
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National Gallery
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Estimate the size of every angle that you see here.
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National Gallery
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Make a block of clay that has the shape of a shoebox, and see if you can slice it
to make shapes like these.
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If you measured all 6 of the edges on one of these sculptures, how could you find out exactly how far the top corner is off the ground?
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Sculpture Garden
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Each vertical layer that you see here is a triangular shape made by stacking bricks in the pattern 1,3,5,7, etc.
The first layer has one brick in it, the second one has 4, then next one has 9, and so on.
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1) For any given layer, find the equation that shows how the number of total bricks in the layer is related to the number of rows.
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2) For the entire shape, find the equation that relates the total number of bricks in a shape of this pattern to the total number of layers of triangles.
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