1.What is the sum of the 3rd triangular, 4th square, 5th pentagonal, 6th hexagonal, 7th heptagonal and 8th octagonal numbers?
2.What is the sum of the 3rd triangular, 4th square, 5th pentagonal, 6th hexagonal, 7th heptagonal and 8th octagonal numbers?
3. Triangles ABC, ACD and ADE are all right triangles with right angles at B, C and D, respectively. If all three triangles are either 45-45-90 or 30-60-90 triangles and AB = 6. How many different lengths are possible for AE?
4. How many positive three-digit integers, with only even digits are divisible by 3?
5. Bo and Luke are going camping for the long weekend. The weather report says there is a 20% chance of rain on Saturday, a 30% chance of rain on Sunday and a 40% chance of rain on Monday. Based on the weather report, what is the probability that it rains on no more than 1 of the days? Express your answer as a decimal to the nearest thousandth.