MathMania 2018

  1. You have a total of 23 dimes and quarters worth $5. How many quarters do you have?
  2. What is the next most likely term in the sequence 1,2,3,6,11,20,37,68,...?
  3. What is the angle (in degrees) between the minute hand and hour hand of a clock when it reads 3:14?
  4. A regular heptagon (7-sided) and an equilateral triangle are joined along an edge as shown in the figure. A third regular polygon can be placed at vertex A so that is shares a side with each of the other two polygons. How many sides does the third polygon have?
  5. What is the area of the triangle whose sides have lengths 13, 14, and 15?
  6. Solve the equation log2(log5(x)) = −1.
  7. What is the number of (decimal) digits in 20182018?
  8. What is the probability that when you roll three standard six-sided dice, the sum of the values of the dice is 7?

Here are the answers.