1.The population of Loompaland over an 8-year period is shown below. What is the greatest percent increase in the population from any year to the next during this time? Express your answer to the nearest tenth.
2. The circle below has a 144 degree central angle cut out and removed. The remaining sector of the circle is formed into a cone by connecting points A and B from the original circle. The radius of the original circle is 10 cm. What is the volume of the new cone? Express your answer in terms of π.
3. A circle and an equilateral triangle have the same area. What is the ratio of the length of the radius of the circle to the side length of the triangle? Express your answer as a decimal to the nearest hundredth.
4. Two different points from the 4 by 7 array below are chosen as the endpoints of a line segment. How many different lengths could this segment have?
5. Kris flipped a coin 12 times. What is the probability that the number of times the coin landed on heads or the number of times the coin landed on tails was a prime number? Express your answer as a common fraction.
6. In square ABCD below with side lengths 6 cm, two semicircles are centered on the midpoints of sides AD and BC using segments AD and BC as their diameters. Two more semicircles are centered on sides AB and CD such that these semicircles are each tangent to the larger two semicircles centered on segments AD and BC. The area outside these four semicircles and inside the square is shaded. What is the total area of the shaded region? Use 3.1415 as an estimation for π and express your answer as a decimal to the nearest tenth.
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