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  All Sites - 60 items found, showing 1 to 50

  1. Additional Signals - Lisa Lavelle
    Trig/Calc, difficulty level 2. Help locate Joey's and Erin's new friend. ...more>>

  2. Add It Up - Leigh Nataro
    Trig/Calc, difficulty level 2. Find the sum for an infinite series. ...more>>

  3. Adventure Airlines - Leigh Nataro
    Trig/Calc, difficulty level 1. How far from the airport does the plane need to begin its descent? ...more>>

  4. Another Problematic Pizza - Leigh Nataro
    Trig/Calc, difficulty level 3. Find the area of a triangular piece of pizza. ...more>>

  5. Around the Corner - Louis Holmes
    Trig/Calc, difficulty level 4. A girder must be carried along a corridor that has a 90-degree turn at the end. How wide must the corridor be in order for the girder to fit around the corner? ...more>>

  6. As Far as the Eye Can See - Annie Fetter
    Geometry, difficulty level 4. If I'm 5'10" tall, can I see the entire length of Lake Memphramagog, which is about 23 miles long? ...more>>

  7. Basketball Angles - Richard Tchen
    Trig/Calc, difficulty level 4. Find the minimum angle at which a basketball will pass through a basketball hoop. ...more>>

  8. Building a Dog Enclosure - Annie Fetter
    Geometry, difficulty level 3. Two people are arguing about whether three sections of fencing 6, 8, and 10 feet long will enclose more or less area than three sections 6, 8, and 12 feet long. ...more>>

  9. Building Bridges - Leigh Nataro
    Trig/Calc, difficulty level 3. Given some dimensions, find the length of a cable that lies along the diagonal of a bridge. ...more>>

  10. Build Your Own Hexagon - Annie Fetter
    Geometry, difficulty level 2. Put a square on each edge of an equilateral triangle (edgelength one unit) and connect the outside vertices of adjacent squares to form a hexagon. Is this hexagon equilateral? equiangular? What is its area? ...more>>

  11. Can You Prove It? - Leigh Nataro
    Trig/Calc, difficulty level 3. Prove that the square root of 2 is irrational, and explain how to use a straightedge and compass to construct a segment that is the square root of 2 in length. ...more>>

  12. A Circle Inscribed in an Isosceles Triangle - Ilmar Vitsut
    Geometry, difficulty level 4. Find the radius of a circle inscribed in an isosceles triangle with sides 12, 12, and 8. ...more>>

  13. Circles and Tangents - Annie Fetter
    Geometry, difficulty level 3. AOD is a diameter of circle O. B is any point on the circle. At B, a tangent is drawn to the circle. From the center, O, a line is drawn parallel to AB, meeting the tangent at P. Prove that PD is tangent to the circle. ...more>>

  14. Constructing a Window - Annie Fetter
    Geometry, difficulty level 4. Explain the shapes of the other four sides of a regular hexagonal window that's built between two wall studs 22.5" apart. ...more>>

  15. Coordinateville - Leigh Nataro
    Trig/Calc, difficulty level 1. Find the angle of intersection of two roads based on given information. ...more>>

  16. Cutting the Cookie - Leigh Nataro
    Trig/Calc, difficulty level 2. Where should you cut a circular cookie so its area is in a ratio of 1:2 ? ...more>>

  17. Descartes' Triangle? - Annie Fetter
    Geometry, difficulty level 3. Two vertices of a triangle are located at (0,6) and (0,12). If the area of the triangle is 12 square units, where can the third vertex be? What if the triangle is also isosceles? ...more>>

  18. Don't Be Late for Dinner - Leigh Nataro
    Trig/Calc, difficulty level 2. Based on given distances, determine whether Susy will be late getting home for dinner. ...more>>

  19. Drawing a Kite Plan - Annie Fetter
    Geometry, difficulty level 3. Given a picture of a kite plan, figure out the radius of the circle that creates the curved section. ...more>>

  20. Equilateral Triangles and Circles - Annie Fetter
    Geometry, difficulty level 2. Two vertices of an equilateral triangle are on the diameter of a circle whose area is 49 pi. The other vertex is on the circumference of the circle. What's the largest possible area of the triangle? ...more>>

  21. Explanation Only! - Annie Fetter
    Geometry, difficulty level 4. Prove that x/(1-x) = 1/x in the given picture. ...more>>

  22. Extending the Signals - Lisa Lavelle
    Trig/Calc, difficulty level 1. Determine how far Erin needs to "rotate" to signal Joey at his cousin's house. ...more>>

  23. Ferris Wheel Function - Leigh Nataro
    Trig/Calc, difficulty level 3. Based on given information, determine a function to describe the height above the ground of a person on a Ferris wheel as a function of time. ...more>>

  24. Find the Largest Equilateral Triangle - Annie Fetter
    Geometry, difficulty level 3. Two vertices of an equilateral triangle lie on a diameter of a circle whose area is 36pi cm^2, and the third vertex lies on the circle. What is the largest possible area of the triangle? ...more>>

  25. Fishing on the Bay - Leigh Nataro
    Trig/Calc, difficulty level 3. Will the depth of the water on the bay be at the right level for fishing? Write a trig function to find out. ...more>>

  26. George's Gutters - Leigh Nataro
    Trig/Calc, difficulty level 2. Find the maximum volume of a gutter. ...more>>

  27. Goose Bay Mountain - Johnson, Patnode, Desautels, Brault, Mahoney
    Trig/Calc, difficulty level 2. Using trigonometry, find the angle of takeoff needed for a plane to clear a mountain. ...more>>

  28. How Are These Equal? - Leigh Nataro
    Trig/Calc, difficulty level 2. Solve a trig identity: cot2x - cos2x equals the product of cot2x and cos2x. ...more>>

  29. How Do You Measure a Mountain? - Leigh Nataro
    Trig/Calc, difficulty level 2. Find the height of a mountain based on two angles and the height of a nearby hill. ...more>>

  30. How Large Is The Yard? - Leigh Nataro
    Trig/Calc, difficulty level 2. Given three sides and two included angles, find the area of my parents' quadrilateral-shaped backyard. ...more>>

  31. Irregular Acreage - Leigh Nataro
    Trig/Calc, difficulty level 2. Based on the given information, find the missing length of a lot in the shape of a quadrilateral. ...more>>

  32. Kite Construction - Leigh Nataro
    Trig/Calc, difficulty level 2. Given some information about the dimensions of a kite, find its area. ...more>>

  33. Learning About GPS - Annie Fetter
    Geometry, difficulty level 4. What percentage of the surface of the earth can be seen by a satellite orbiting at an altitude of 20,200 km? Are the Global Positioning System satellites "geosynchronous"? ...more>>

  34. The Length of a Belt - Annie Fetter
    Geometry, difficulty level 3. The diameters of two wheels are 18 cm and 12 cm and their centers are 30 cm apart. A belt goes around them and crosses 18 cm from the center of the big wheel. How long is the belt? How do you know you're right? ...more>>

  35. Let's Measure the Earth - Leigh Nataro
    Trig/Calc, difficulty level 3. Use Eratosthenes' measurements to calculate the radius of the earth. ...more>>

  36. Managing a Mall - Leigh Nataro
    Trig/Calc, difficulty level 2. Find how many square feet there are in a quadrilateral-shaped store. ...more>>

  37. More Tangents! - Annie Fetter
    Geometry, difficulty level 3. Given a square ABCD inscribed in a unit circle. AB is extended to P, where PC is tangent to the circle. Find the length of PD. ...more>>

  38. Needles and Lines - Leigh Nataro
    Trig/Calc, difficulty level 5. Use trigonometry and calculus to find the probability of a needle touching a line. ...more>>

  39. The Ninja Mission - Steve Earth
    Trig/Calc, difficulty level 4. Find the measurement of a spike's angle, given the star's perimeter. ...more>>

  40. One Area - Many Solutions - Leigh Nataro
    Trig/Calc, difficulty level 2. Find the area of a triangle given the coordinates of its vertices. ...more>>

  41. Pie Puzzler - Paul Robinson
    Trig/Calc, difficulty level 2. Where should a pie wedge be cut to divide it into two pieces having the same area? ...more>>

  42. A Problematic Pizza - Leigh Nataro
    Trig/Calc, difficulty level 2. Find the area of a specific region of a circle based on given information. ...more>>

  43. The Seal of Dalvek - Steve Earth
    Trig/Calc, difficulty level 3. Discover the area of a circular segment based upon its circumference. ...more>>

  44. Simple Signals - Lisa Lavelle
    Trig/Calc, difficulty level 1. Determine the distance between Erin and Joey as well as how far Joey has travelled in "Perpendicular City." ...more>>

  45. Skiing in Vermont - Leigh Nataro
    Trig/Calc, difficulty level 2. How far must you ski and what does your heading need to be for you to return to your starting point? ...more>>

  46. Stonybrooke River Bridge - Leigh Nataro
    Trig/Calc, difficulty level 2. Based on given information, find the distance across a river. ...more>>

  47. The Subtending Chord - Annie Fetter
    Geometry, difficulty level 3. A chord of a circle is the hypotenuse of an isosceles right triangle whose legs are radii of the circle. The length of the chord is 8 times the square root of 2. What is the length of the minor arc subtended by the chord? ...more>>

  48. The Supermarket Shelf - Leigh Nataro
    Trig/Calc, difficulty level 3. What is the optimal shelf height in the supermarket? ...more>>

  49. The Super Yard XT - Leigh Nataro
    Trig/Calc, difficulty level 1. Based on information about the area of a regular polygon-shaped play yard, find the length of one of the walls of the yard. ...more>>

  50. Swimming Sea Turtles - Leigh Nataro
    Trig/Calc, difficulty level 4. Using latitude and longitude data collected from three sea turtles, determine how far each turtle is from its starting position. ...more>>


 
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