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## The New

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**The New**Math Family Feud**A triangle has a base of length 13 and the other two sides**are equal in length. If the lengths of the sides of the triangle are integers, what is the shortest possible length of a side?**P is the set of positive factors of 20 and Q is the set of**positive factors of 12. If x is a member of set P and y is a member of set Q, what is the greatest possible value of x - y?**In the right triangle ABC below,**. What is the value of y?**If n is divided by 9, the remainder is 5. What is the**remainder if 3n is divided by 9?**Let k # j be defined as the sum of all integers between k**and j. For example, 5 # 9 = 6 + 7 + 8 = 21. What is the value of (80 # 110) - (81 # 109)?**The New**Math Family Feud**A rectangular solid has two faces the same size and shape as**figure I below and four faces the same size and shape as figure II below. What is the volume of the solid?**What is the least number of 2's that can be multiplied**together to yield a number greater than 50?**In square PQRS below, QR = 1, RU = US, and PT = TS. What**is the area of the shaded region?**How many of the first one hundred positive integers contain**the digit 9?