KD

Kevin Durant won the 2013–14 NBA Most Valuable Player (MVP) award. In the expression KD + 35 = MVP, each letter represents a different single digit number. K and M are not zero. If P = 3, what’s the two-digit number KD?

Counting Triangles

How many triangles are in the figure below?

Jump Rope Training

Leo is preparing for a jump rope competition to be held within a year. Leo’s personal record is currently less than the national record 80. He plans to improve his personal record for 30 seconds double under by 1 every month. By doing so, the sum of his monthly records (from the current month to the competition month) would be 465. What is the highest possible personal record does Leo have now? 

Missing Operators

Insert an arithmetic operation (addition, subtraction, multiplication, or division) to each slot between two adjacent numbers of the expression N = 1 __  3 __  5 __  6 __  4 __  2. If each of the four operations has to be used at least once, what’s the smallest possible value of N?