___________________________ __________________________ Orlando Science High School Mu Alpha Theta Honors Society Central Florida Math Tournament 4th Grade Problem Solving Round 1. Jaithra is exactly 34 inches taller than his son, Aadi. If Aadi is 3 feet, 2 inches tall, how tall is Jaithra, in feet? 2. Tanvi is selling candy bars to raise money for her robotics team. She starts with 70 candy bars and sells 32 to her neighbors and 15 to her grandparents. How many candy bars does Tanvi have left to sell? 3. Sheel has four jars of M&Ms, with 36, 32, 43, and 25 M&Ms. What is the difference between the mean and the median of the number of M&Ms in the four jars? Orlando Science High School Mu Alpha Theta Honors Society Central Florida Math Tournament 4th Grade Problem Solving Round 4. Baymax is traveling on a jet from Wyoming to Dubai. The jet leaves Wyoming at 7:00 P.M., and lands at 6:00 A.M Dubai time, the next day. Assuming that Dubai is eight hours ahead of Wyoming, how long was Baymax’s flight in hours? 5. Semicircle P has radius 5 cm, and circle Q is the largest possible circle that can be inscribed in semicircle P . What is the combined area of the shaded regions that are in the interior of semicircle P but exterior to circle Q? Express your answer as a common fraction in terms of π. 6. Chhavi is 7 inches shorter than Ishaan, and Ishaan is 2 inches shorter than Hemi. If Hemi is 6 inches taller than Jaithra and Jaithra is 1 inch shorter than Sathwik, by how many inches is Sathwik taller than Chhavi? Orlando Science High School Mu Alpha Theta Honors Society Central Florida Math Tournament 4th Grade Problem Solving Round 7. How many triangles are in the figure shown? 8. Rocco, Pratham and Shrijav sit at a round table, one of whom is a knight, one a knave, and one a spy. The knight is always honest, the knave always lies, and the spy either lies or tells the truth. Rocco says: “Shrijav is a knave.” Pratham says: “Rocco is a knight.” Shrijav says: “I am the spy.” Who is the knight, who is the knave, and who is the spy? 9. If the following 4 × 4 grid must be filled with letters A, B, C and D, so that each letter appears once in each row and once in each column, what is the letter that will appear in the square labeled ♦? Orlando Science High School Mu Alpha Theta Honors Society Central Florida Math Tournament 4th Grade Problem Solving Round 10. A, B, C, D, E, F and G are points on the same line and AB = 48 units. The midpoint of segment AB is C. The midpoint of segment CB is E. The midpoint of segment AE is D. The midpoint of segment AC is F . The midpoint of segment EB is G. What is the length of segment F G? 11. The following are answer choices to a multiple-choice question. If only one of the answers is correct, which choice must be the correct answer? 1. All of the below 2. None of the below 3. All of the above 4. One of the above 5. None of the above 6. None of the above 12. Rectangle W XY Z, shown here, consists of eight squares. If the white square is a 1 × 1 unit square, what is the area of rectangle W XY Z?
